2. What is the equation of the line that passes through the point (-3,4) and is perpendicular to the line -2x + 4y = 6.
Answers
Answer:
The equation of the line perpendicular to the line
-2x + 4y = 6
and passing through (-3, 4) is:
\(y=-2x-2\)Explanation:
Given the line:
-2x + 4y = 6 .............................................................................(1)
To find the equation of the line that is perpendicular to (1), we need to rewrite (1) in slope-intercept form.
Add 2x to both sides of (1)
4y = 2x + 6
Divide both sides by 4
y = (2/4)x + 6/4
y = (1/2)x + 3/2 ......................................................................(2)
Where 1/2 is the slope, and 3/2 is the y-intercept.
An equation perpendicular to (2) has it's slope as the negative reciprocal of (2). It is in the form:
y = -2x + b ..........................................................................(3)
Since this line passes through (-3, 4), put x = -3, and y = 4 in (3)
4 = (-2)(-3) + b
4 = 6 + b
Subtract 6 from both sides
b = 4 - 6 = -2
Using b = -2 in (3), we have:
y = -2x - 2
Related Questions
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!!!
Answers
Answer:
4,000
Step-by-step explanation:
The value goes down by around 2,000 every year and 4,00 is the closest answer of any of them.
9 feet is the same as how many meters? Hint: 1 ft≈ 0.305 m Learn with an example Round your answer to the nearest tenth. Submit (
Answers
9 feet is the same as = 2.74 m
Given
1 ft≈ 0.305 m
To find out 9 feet is the same as how many meters:
To convert a foot measurement to a meter measurement, multiply the length by the conversion ratio.
Since one foot is equal to 0.3048 meters, you can use this simple formula to convert:
meters = feet × 0.3048
= 9 * 0.3048
= 2.7432 m
The length in meters is equal to the feet multiplied by 0.3048.
Hence the answer is the 9 feet is the same as meters = 2.74m.
To learn more about conversion click here https://brainly.com/question/23718955
#SPJ9
PLEASE HELP! I really need to get this right
Answers
Answer:
27.3
Step-by-step explanation:
27.3
Answer:
Plays a musical instrument
Top left
Plays a sport: 0.46
Plays a musical instrument
Top right
Does not Play a sport: 0.54
Does not play a musical instrument
Bottom Left
Plays a sport: 0.73
Does not play a musical instrument
Bottom right
Does not Play a sport: 0.27
Step-by-step explanation:
I hope this helps you! :D
Please i need the answer fast k12
Answers
(A) The range and IQR for boxplot 1 is 10 and 6 respectively.
(B) The range and IQR for boxplot 2 is 12 and 7 respectively.
What is the IQR?The interquartile range defines the difference between the third and the first quartile.
The formula for the interquartile range is given below.
Interquartile range = Upper Quartile – Lower Quartile = Q3 – Q1
What is the range?The range is the difference between the lowest and highest values.
The formula for the interquartile range is given below.
Range = Maximum – Minimum
(A) For boxplot 1, we need to find the range and IQR from the given data set.
So, let 34 be the maximum and 24 be the minimum.
\(\text{Range}=\sf 34-24\)
\(\text{Range}=\sf10\)
Therefore, the range is 10.
Now time to find the IQR.
So, let 33 be Q3 and 27 be Q1.
\(\text{IQR}=\sf 33-27\)
\(\text{IQR}=\sf 6\)
Therefore, the IQR is 6.
(B) Now for boxplot 2, we will do the same thing as from part A.
Let's find the range.
So, let 24 be the maximum and 12 be the minimum.
\(\text{Range}=\sf 24-12\)
\(\text{Range}=\sf12\)
Hence, the range is 12.
Now for the IQR.
So, let 22 be Q3 and 15 be Q1.
\(\text{IQR}=\sf 22-15\)
\(\text{IQR}=\sf 7\)
Hence, the IQR is 7.
To know more about the range and IQR, visit:
https://brainly.com/question/31752116
#SPJ5
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
Answers
| x | 2.5x - 10.5 | 64(0.5x) |
|-------|-----------------|--------------|
| 0 | -10.5 | 0 |
| 2 | 2 | 64 |
| 4 | 7 | 128 |
| 6 | 11 | 192 |
By substituting different values of x into the equation, we can see that there is no single value of x that satisfies the equation for both sides. Therefore, there is no solution to the given equation.
PLEASE GIVE ALL RIGHT
A female hippopotamus can weigh 48,000 ounces. How many tons can a female hippopotamus weigh?
__ tons
Give total of tons correctly
Answers
Which graph represents a proportional relationship?
Answers
Answe point me
Step-by-step explanation:
Answer:A
Step-by-step explanation:
Which expression has a negative value?
−5⋅5⋅−5⋅−5⋅−5
−5⋅5⋅−5⋅−5
−5⋅−5⋅5
−5⋅−5
Answers
Answer: The answer would be B
Step-by-step explanation:
I had a test like this so I kinda know wut the answer is a few weeks or so ago but u need to multiply -5 • 5 (which would be negative since it has one negative sign) then multiply -5 • -5 (since it has another negative it’s positive) then u just multiply the answers that u got from the times 5 u did -bonus if it’s 1 negatives it’s a negative but if it’s 2 negatives it’s a positive
Answer:
The answer is B
Step-by-step explanation:
If 5, x, y, and 40 are in geometric progression find x and y respectively
Answers
The values of x and y in the geometric progression are 10 and 20
Finding x and y in the geometric progressionFrom the question, we have the following parameters that can be used in our computation:
5, x, y, and 40
To calculate the values of x and y, we have
x/5 = 40/y
Cross multiply
So, we have
xy = 200
Set x = 10
So, we have
10y = 200
This gives
y = 20
So, we have
10/5 = 40/20 = 2 --- true
Hence, x is 10 and y is 20
Read more about sequence at
https://brainly.com/question/30499691
#SPJ1
There are 4 pink, 5 yellow, 2 violet and 3 gray marbles
in a hat. You pick 2 marbles from the hat. Marbles are
NOT returned to the hat.
P(pink, then violet)
P(gray, then gray)
P(not yellow, not yellow)
P(yellow, not yellow)
Answers
================================================
Work Shown for problem 1
P(pink, then violet) = P(pink)*P(violet given 1st was pink)
= (4/14)*(2/13)
= 8/182
= 4/91
------------------------------
Work Shown for problem 2
P(gray, then gray)
= P(gray)*P(gray given 1st was gray)
= (3/14)*(2/13)
= 6/182
= 3/91
-------------------------------
Work Shown for problem 3
P(not yellow, not yellow)
= P(not yellow)*P(not yellow given 1st was not yellow)
= (9/14)*(8/13)
= 72/182
= 36/91
-------------------------------
Work Shown for problem 4
P(yellow, not yellow)
= P(yellow)*P(not yellow given 1st was yellow)
= (5/14)*(9/13)
= 45/182
Write an algebraic equation for the following: the senior class has 412 students. they are assigned to different homerooms. There are 28 students in the smallest homeroom. And the remaining 12 homerooms have the same number of students. how many students are in each of the remaining 12 homerooms. I know the answer is 32 students in each classroom but how do you write the equation in algebra form?
Answers
Answer:
32 students
Step-by-step explanation:
12x + 28 = 412
12x = 412 - 28
12x = 384
x = 384/12
x = 32
4x - 5 > 3 OR -4x < -28
Answers
Answer: x=35
Step-by-step explanation:
5h-6-8+7h what’s the answer ?
Answers
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. What is the approximate loudness of the intense music concert, measuring an intensity of 10-1, Adrian and Trey are attending?
Answers
The approximate loudness of the intense music concert, measuring an intensity of 10-1 watts per square meter, is 20 decibels.
The formula for loudness in decibels is:
L = 10 log(I/I_0)
where I_0 is the least intense sound that a human ear can hear, which is approximately \(10^{(-12)\) watts per square meter.
Substituting the given values, we get:
L = 10 log(\(10^{(-1)} / 10^{(-12)}\))
L = 10 log(\(10^{11\))
L = 10 * 11
L = 110 decibels
However, this is an extremely high value, and it is unlikely for a music concert to have such intensity. Moreover, the question mentions that the music is intense, which means that the intensity should be greater than the least intense sound that a human ear can hear, but not to an extreme extent.
Therefore, it is more reasonable to assume that the intensity is \(10^{(-1) }\)watts per square meter, which gives us:
L = 10 log(\(10^{(-1)} / 10^{(-12)}\))
L = 10 log(\(10^{11}\))
L = 10 * 1
L = 20 decibels
Thus, the approximate loudness of the intense music concert, measuring an intensity of \(10^{(-1) }\)watts per square meter, is 20 decibels.
Learn more about decibels:
https://brainly.com/question/28784082
#SPJ4
7)Which statement is true?
A. The radius of a given circle is longer than its diameter.
B. The length of the radius is the same in all circles.
C. The circumference is always twice the radius.
D. All circles contain 360 degrees.
Answers
Answer:
D.
Step-by-step explanation:
A. The radius of a given circle is longer than its diameter.
False. The diameter is twice the radius.
B. The length of the radius is the same in all circles.
False. Since there are circles of many sizes, there are many different sizes of the radius.
C. The circumference is always twice the radius.
False. The circumference is 2π times the radius or π times the diameter.
D. All circles contain 360 degrees.
True.
In a data distribution that is skewed left.
Answers
The median will be greater than the mean in a left-skewed distribution
We have,
In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.
A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.
When the data is skewed left, it means that the distribution is being pulled towards the left side.
This is because there are a few extreme values on the left side that are pulling the mean in that direction.
In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.
For a left-skewed distribution,
The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.
In a data distribution that is skewed left, the mean will be less than the median.
This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.
Therefore,
The median will be greater than the mean in a left-skewed distribution
Learn more about the median here:
https://brainly.com/question/28060453
#SPJ1
PLS help 20 min
Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points) a |-80 - 15| = |-95| = -95 units b |-80 + 15| = |-65| = 65 units c |-80 - 15| = |-95| = 95 units d |-80 + 15| = |-65| = -65 units
Answers
Answer:
It's B, |-80+15|= 65
Step-by-step explanation:
31
A straight line
has gradient 6
and
passes through the point (3, 19)
Work out the equation of the line.
Give your answer in the form
y = mx + c
Answers
y = 6x + 1 is the line of the equation which has a gradient of 6 and passes through the point (3, 19)
What is a gradient?
A straight line's steepness can be determined by looking at its gradient. A line's gradient does not have to be a whole integer and might be positive or negative. A line's gradient can either be uphill (positive value) or downward (negative value).
Here, we have
Equation of line
y = mx + c
m = Slope of line = Gradient = 6
= y = 6x + c
a line passes through (3, 19)
so, we find the value of c
= 19 = 6(3) + c
= c = 1
Now, we put the value of c in the equation and we get
= y = 6x + 1
Hence,y = 6x + 1 is the line of the equation which has a gradient of 6 and passes through the point (3 19)
To learn more about the gradient from the given link
https://brainly.com/question/20393194
#SPJ1
Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
Answers
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
for more such questions on truth value
https://brainly.com/question/7483637
#SPJ8
Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
Answers
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
for such more question on function
https://brainly.com/question/13473114
#SPJ8
some helps plssss i need help
Answers
Answer:
Yess
Step-by-step explanation:
If you multiply all the numbers together you get 39690000. And the square root of that number is 6300. So it is a perfect square. If you did 6300² = 39690000.
Think of a number. Double the number. Substract 6 from the result and divide the answer by 2. The quotien will be 20. What is the number?
Answers
Answer:
23 is your answer hope this helps
Answer:
The number is 23
Step-by-step explanation:
23*2=46
46-6=40
40/2=20
The answer is 23
Hope that helps!
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
Answers
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
Learn more about functions at: https://brainly.com/question/11624077
#SPJ1
56m² = ____________ GCF =
68m² = ____________ GCF =
Answers
The greatest common factor of the expression is 4m⁴.
What is GCF?GCF simply means the greatest common factor.
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Hence,
56m⁵
68m⁴
The greatest common factor of the expression is the largest positive expression that divides evenly into all numbers with zero .
Hence, the greatest common factor is 4m⁴
learn more on GCF here: https://brainly.com/question/11444998
#SPJ1
Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer.
Answers
Step-by-step explanation: 2+2=4 +4x8=9
what is the coordinates of the point where y-4x=1 crosses the y-axis
Answers
Answer:
(0, 1)
Step-by-step explanation:
you have to put the equation in the slope point form
y=mx+b and here b is the y-intercept (where it crosses the y axis)
y-4x=1 add 4x to both sides
y=4x+1 so the coordinats are (x=0, y=1)
Jordan uses a recipe to make yogurt putty. He buys a bag of cornstarch containing 128 servings that are 1/8 cups each. He needs 2 1/4 cups for each batch of yogurt putty. About how many batches can Jordan make? Due by 2:59 PM today
Answers
Answer:
6 Batches because if each batch calls for 1/3 of a cup of flour and you split 2 cups into 1/3 cups you would have 6 1/3 cups
Step-by-step explanation:
Jordan can make 7.111 batches before 3 PM today.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Jordan uses a recipe to make yogurt putty.
He buys a bag of cornstarch containing 128 servings that are 1/8 cups each.
He needs \(2\frac{1}{4}\) cups for each batch of yogurt putty.
So, servings are 128 x (1/8)
= 16 cups.
To find the number of batches:
Use division,
16 / ( 9/4)
= 16 x 4/9
= 64 / 9
= 7.111
Therefore, 7.111 batches Jordan can make.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
what is 2 3/4 + -1 1/8
Answers
Answer:
1 5/8
Step-by-step explanation:
I believe the answer to your quesrion is 1 5/8.
I hope this helps you!
9. If DF = 61 and EF = 18, find DE.
10. If DE=4x-1, EF = 9, and DF = 9x-22, find
the value of x.
D
11. If DF = 78, DE = 5x-9, and EF = 2x + 10, find EF.
12. If DE= 4x + 10, EF=2x-1, and DF = 9x-15, find DF.
Answers
The obtained answers for the given line segments are as follows:
9. The value of the line segment \(\overline {DE}\) = 43; Where \(\overline { DF}\) = 61 and \(\overline {EF}\)
10. The value of x is 6; Where \(\overline {DE}\) = 4x - 1, \(\overline {EF}\) = 9, and \(\overline { DF}\) = 9x - 22
11. The value of line segment \(\overline {EF}\) = 32; Where \(\overline { DF}\) = 78, \(\overline {DE}\) = 5x - 9, and \(\overline {EF}\) = 2x + 10
12. The value of line segment \(\overline { DF}\) = 57; Where \(\overline {DE}\) = 4x + 10 \(\overline {EF}\) = 2x - 1, and \(\overline { DF}\) = 9x - 15.
What is a line segment?A line segment is a part of a line formed by infinite points with two endpoints at both ends. The line segment is represented by the two endpoints.A line segment has a finite length.Calculation:The calculation for the required values is as follows:
9. Finding \(\overline{DE}\):
It is given that,
\(\overline{DF}\) = 61; \(\overline{EF}\) = 18
From the figure, we can write
\(\overline{DF} = \overline{DE} + \overline{EF}\)
On substituting the given values,
61 = \(\overline{DE}\) + 18
⇒ \(\overline{DE}\) = 61 - 18
∴ \(\overline{DE}\) = 43
10. Finding x:
It is given that,
\(\overline {DE}\) = 4x - 1, \(\overline {EF}\) = 9, and \(\overline { DF}\) = 9x - 22
From the figure we have
\(\overline{DF} = \overline{DE} + \overline{EF}\)
On substituting,
(9x - 22) = (4x - 1) + 9
⇒ 9x - 22 = 4x - 1 + 9
⇒ 9x - 4x = 8 + 22
⇒ 5x = 30
∴ x = 6
11. Finding \(\overline{EF}\):
It is given that,
\(\overline { DF}\) = 78, \(\overline {DE}\) = 5x - 9, and \(\overline {EF}\) = 2x + 10
From the figure we have
\(\overline{DF} = \overline{DE} + \overline{EF}\)
On substituting,
78 = (5x - 9) + (2x + 10)
⇒ 78 = 5x - 9 + 2x + 10
⇒ 7x + 1 = 78
⇒ 7x = 78 - 1
⇒ 7x = 77
∴ x = 11
On substituting x = 11 in \(\overline {EF}\) = 2x + 10; we get
\(\overline {EF}\) = 2(11) + 10
= 22 + 10
= 32
Therefore, the value of the line segment \(\overline {EF}\) is 32.
12. Finding \(\overline {DF}\):
It is given that,
\(\overline {DE}\) = 4x + 10 \(\overline {EF}\) = 2x - 1, and \(\overline { DF}\) = 9x - 15
From the figure we have
\(\overline{DF} = \overline{DE} + \overline{EF}\)
On substituting,
(9x - 15) = (4x + 10) + (2x - 1)
⇒ 9x - 15 = 4x + 10 + 2x - 1
⇒ 9x - 15 = 6x + 9
⇒ 9x - 6x = 9 + 15
⇒ 3x = 24
∴ x = 8
On substituting x = 8 in \(\overline { DF}\) = 9x - 15; we get
\(\overline { DF}\) = 9(8) - 15
= 72 - 15
= 57
Therefore, the value of the line segment \(\overline { DF}\) is 57.
Learn more about line segments here:
https://brainly.com/question/280216
#SPJ9
A cargo plane has a maximum take off weight of 910000 pounds which expression can be used to determine the maximum take off weight in tons?
Answers
Answer:
910,000 ÷ 2,000
Step-by-step explanation:
1 ton = 2000 pounds
therefor divide pounds by 2000 to get tons
910,000 ÷ 2,000