Find the slope given: (3, -10) & (4, -21)
m =
Answer:
\(\displaystyle m=-11\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (3, -10)
Point (4, -21)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: \(\displaystyle m=\frac{-21+10}{4-3}\)[Fraction] Add/Subtract: \(\displaystyle m=\frac{-11}{1}\)[Fraction] Divide: \(\displaystyle m=-11\)Some values of a linear function are shown in this table:
What is the rate of change of this function?
X y
2 11
3 16.5
4 22
5 27.5
9514 1404 393
Answer:
5.5
Step-by-step explanation:
The rate of change is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (16.5 -11)/(3 -2) = 5.5/1
m = 5.5
The rate of change of this function is 5.5.
If a wheel rotates by 1888 degrees, how many complete revolutions has it made?
The number of revolutions made by the wheel is 5.24 ≅ 5.
Finding number of revolutions:
One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.
Here we have
A wheel rotated by 1888°
As we know One complete revolution is equal to 360 degrees
Hence, the angle can be rotated by the wheel in 1 rotate = 360°
Let the wheel make 'x' revolution to make 1888°
=> 360(x) = 1888
=> x = 1888/360
=> x = 5.24
Therefore,
The number of revolutions made by the wheel is 5.24 ≅ 5.
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PLZZZZ HELPP ASAP!!! In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes. Make a list of all the different possible outcomes when two number cubes are rolled. What fraction of the possible outcomes is favorable? Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:
Hey there!
You should not expect more than 34 times to be favorable, because favorable outcomes are about 28% of outcomes, and 28% of 100 is 28, which is less than 34.
6/21 outcomes will be favorable.
Here is a list of all possible out comes:
1 - 1
1 - 2
1 - 3
1 - 4
1 - 5
1 - 6
2 - 2
2 - 3
2 - 4
2 - 5
2 - 6
3 - 3
3 - 4
3 - 5
3 - 6
4 - 4
4 - 5
4 - 6
5 - 5
5 - 6
6 - 6
The underlined ones have one or two 3's in their outcome. There are 21 outcomes total, and 6 of them have 3's in them. We will find the percentage by doing 6/21 = .286, or 28.6%. This means that for every 100 outcomes, you should expect about 29 of them to be favorable.
I hope it helps and have an amazing day! You've got this!
Help me out please???
If G is the incenter of ∆ABC, then GD = GF = GE.
Given, GD is 3x + 5 and GF is 6x - 4.
According to the above statement,
GD = GF
or, 3x + 5 = 6x - 4
or, 5 + 4 = 6x - 3x
or, 9 = 3x
or, 9/3 = x
or, 3 = x
The value of x is 3.
By putting the value of x in GD or GF, we get
GD = 3(3) + 5 = 9 + 5 = 14
GF = 6(3) - 4 = 18 - 4 = 14
Therefore, GE = 14.
Which equation represents the line shown on the graph?
Answer:y=-x+2
Step-by-step explanation:
Wei wants to prove that the segment joining midpoints of two sides of a
triangle is parallel to the third side.
Select the appropriate rephrased statement for Wei's proof.
Now we know PR∥QX , according to construction with transversal line TX.
∠PTS=∠QXS (Alternate angle)
In △PTS and △QSX
∠PTS=∠QXS (Alternate angle)
∠PST=∠QSX(vertically opposite angles)
PS=SQ(S is mid point of PQ)
△PTS≅△QSX(AAS rule)
So, TP=QX(CPCT)
As we know, TP=TR (T is midpoint)
Hence, TR=QX
Now, in quadrilateral TSQR
TS∥QR
Hence proved.
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What is another name for the starting value of a function? Select all that apply. I slope c-intercept O y-intercept Initial value rate of change
Answer:
The answer is "Initial value".
Step-by-step explanation:
The initial function value was its feature desired output unless the input signal is 0. It's an input valuing name, as well as the name for just a function's performance values set. In all input forces are defined as their function domain as well as the range of its program is called the output collection.
Answer:
initial value
Step-by-step explanation:
In ΔHIJ, h = 33 cm, i = 61 cm and j=39 cm. Find the area of ΔHIJ to the nearest square centimeter.
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
Explain about the Heron's formula:Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)
where s = half the perimeter,
s = (a + b + c)/2.
given data:
In ΔHIJ,
h = 33 cm, i = 61 cm and j =39 cm.semi -perimeter s = (i + j + h) / 2
s = (33 + 61 + 39) / 2
s = 66.5
Now,
s - h = 66.5 - 33 = 33.5
s - i = 66.5 - 61 = 5.5
s - j = 66.5 - 39 = 27.5
area of ΔHIJ = √s(s - h)(s - i)(s - j)
area of ΔHIJ = √66.5*33.5*5.5*27.5
area of ΔHIJ = √336947.1875
area of ΔHIJ = 580.47
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
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can someone help me with this
The sine equation for the object's height is given as follows:
d = -5sin(0.24t).
How to define the sine function?The standard definition of the sine function is given as follows:
y = Asin(Bx) + C.
The parameters are given as follows:
A: amplitude.B: the period is 2π/B.C: vertical shift.The amplitude for this problem is of 5 inches, hence:
A = 5.
The period is of 1.5 seconds, hence the coefficient B is given as follows:
2π/B = 1.5
B = 1.5/2π
B = 0.24.
The function starts moving down, hence it is negative, so:
d = -5sin(0.24t).
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Pls help I need help on this question
Answer: B
Step-by-step explanation: Hope this helps:)
What is the quotient of
15y^3+ 28y^2+ 7y-6 / 5y+6?
Answer: The quotient is 3y² + 2y - 1.
Step-by-step explanation:
You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.
1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.
3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.
2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.
3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.
Mary is going down a straight waterslide that is 150 feet above the ground. The waterslide is 225 feet long. What is the angle of elevation with the ground to the top of the waterslide?round to two decimals places
f(x)=x^2-3x-10
g(x)=x+2
(f+g)(2)=
(f-g)(-1)=
(f-g)(-1)=
(f x g)(1)=
(f/g)(4)=
Answer:
+ : 4- : -13× : -18÷ : 3Step-by-step explanation:
Given the functions f(x) = x² -3x -10 and g(x) = x +2, you want the values of ...
(f+g)(2)(f-g)(-1)(f×g)(1)(f/g)(4)(f+g)(2)Using the values from the attached table, we find ...
(f+g)(2) = f(2) +g(2) = 0 +4 = 4
(f-g)(-1)(f-g)(-1) = f(-1) -g(-1) = -12 -1 = -13
(f×g)(1)(f×g)(1) = f(1)×g(1) = (-6)×(3) = -18
(f/g)(4)(f/g)(4) = f(4)/g(4) = 18/6 = 3
The equation y=6.88x-199 models the number of visitors at a pool,y, and the air temperature in degrees there are 426 visitors at the pool one hot day what is the expected air temperature on that da round your answer to the nearest degree
Answer:
\(\approx 91^\circ\)
Step-by-step explanation:
The given equation to represent the model for the relationship between \(x\) and \(y\).
\(y=6.88x-199\)
\(x\) represents the air temperature in degrees and
\(y\) represents the number of visitors at a pool.
Also given that number of visitors at the pool on a particular day is 426.
To find:
The expected air temperature as per the number of visitors.
Solution:
Here, we are given a linear equation to represent the relation between two variables.
Value of one variable is given and we have to find the value of other variable.
i.e. we are given that:
\(y=426\) and we have to find the value of \(x\).
Let us put the value in the equation:
\(426=6.88x-199\\\Rightarrow 6.88x = 426 + 199\\\Rightarrow x = \dfrac{625}{6.88}\\\Rightarrow \bold{x \approx 91^\circ}\)
Heather bought a new laptop for $650 Heather has a coupon that lowers the price by 15%.
What is the price of the laptop after using the coupon?
PROBLEM 13) Simplify the expression: (2t - 8) - 42 (10 - 4t) + 7 Show your work here:
the given expression is,
(2t - 8) - 42(10 - 4t) + 7
= 2t - 8 - 420 - 168t + 7
= -166t - 421
thus, the answer is -166t - 421
In the expression 7g + 15, g is the
O coefficient
O variable
constant
operation
A sequence is defined by the recursive function f(n + 1) = f(n) – 2.
If f(1) = 10, what is f(3)?
1
6
8
30
Answer:
f(3) = 6
Step-by-step explanation:
If f(1)=10, then f(1+1)=f(1)-2
f (2) = 10 - 2 = 8
Therefore f(3) = f(2) - 2 = 8 - 2 = 6
at a baseball game a vender sold a combined total of 141 sodas and hot dogs. the number of sodas was 51 more than the number of hotdogs sold. Find the number of sodas sold and the number of hot dogs sold
What is the value of X?
Answer:
X=20Step-by-step explanation:
because both angles are vertical they are equal to each other
lets solve 3x+50=6x-10
add 10 to 60
3x+60=6x
subtract 3x from 6x
60=3x
divide 3 on both sides
20=x
X=20
I hope this helped :)
Find all the zeros help please
With f(7) = 0, you know that f(x) is divisible by x-7. So
\(f(x) = (x-7)(ax^2+bx+c) \\\\ x^3-4x^2-25x+28 = ax^3+(b-7a)x^2+(c-7b)x-7c \\\\ \implies \begin{cases}a=1\\b-7a=-4\\c-7b=-25\\-7c=28\end{cases} \implies a=1,b=3,c=-4\)
Then we have
\(f(x)=(x-7)(x^2+3x-4)=(x-7)(x+4)(x-1)\)
which makes the zeros 7, -4, and 1.
How to make 10.74 in two different ways?
Answer:
Step-by-step explanation:
1074/100
1.074*10
0.1074*10
107.4/10
10740/1000
HELP PLEASE FAST!!!!!
Every week Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.
Answer:
$10.50 an hour
Step-by-step explanation:
210/20 = 10.5
What is the value of
0 4,194,304
020
O 1,024
O 625
Answer: 20
Step-by-step explanation:
if 4x4=16 then 16 divided by 2 =8 witch is diviseble by 20
The admission fee at an amusement park is $1.75 for children and $7.20 for adults. On a certain day, 234 people entered the park, and the admission fees collected totaled $1118. How many children and how many adults were admitted?
Number of Children equals _____
Number of adults equals ________
The number of children are 104 and the number of adult are 130.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, the admission fee at an amusement park is $1.75 for children and $7.20 for adults.
Let the number of children be c and the number of adults be a.
Now, c+a=234 ------(i)
1.75c+7.20a=1118 ------(ii)
Substitute c=234-a in equation (ii), we get
1.75(234-a)+7.20a=1118
409.5-1.75a+7.20a=1118
5.45a=1118-409.5
5.45a=708.5
a=708.5/5.45
a=130
Substitute a=130 in equation (i), we get c=104
Therefore, the number of children are 104 and the number of adult are 130.
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Jordan runs to the end of his street and back home every day. The total distance of a trip to the end of the street and back home is 7/8 mile.
How many miles has Jordan run after 6 days?
whoever answers first gets brainliest and HURRY IM TIMED
The miles that Jordan run after 6 days will be 5 1/4 miles.
How to calculate the number of miles?This relates to a fraction. A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Here, Jordan runs to the end of his street and back home every day and the total distance of a trip to the end of the street and back home is 7/8 mile.
The miles that Jordan run after 6 days will be:
= 7/8 × 6
= 42 / 8
= 5 1/4 miles.
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Find the x
please will give brainliest
The volume of the right cone below is 2767 units³. Find the value of x.
The value of x is approximately 49.4 units.
What is volume ?
Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet. Volume is a fundamental concept in mathematics and physics, and it is an important property for describing the size, capacity, or amount of material contained within an object.
Let's start by defining some variables:
r: radius of the cone
h: height of the cone
V: volume of the cone
A right cone has a circular base, and its volume can be calculated as follows:
V = (1/3) * π * r² * h
If the diameter of the base is 12 units, then the radius is half of that:
r = 6 units
We also know that the volume is 2767 units³, so we can write:
2767 = (1/3) * π * 6² * h
Simplifying:
h = (2767 * 3) / (π * 6²)
h ≈ 49.15 units
Now, we need to find the value of x. We can use the Pythagorean theorem to relate x, r, and h:
x² = r² + h²
Substituting the values we have:
x² = 6² + 49.15²
x ≈ 49.4 units
Therefore, the value of x is approximately 49.4 units.
In summary, we used the formula for the volume of a cone to relate the radius and height of the cone to its volume. Then, we used the Pythagorean theorem to relate the unknown value of x to the known values of r and h. Finally, we substituted the known values to find the approximate value of x.
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Your complete question is :-The volume of the right cone below is 2767 units³. Find the value of x if it's diameter is 12
Please help!!!!!
Solve for X and Y