A corner shelf is in the shape of a triangle. One side measures \(2x^2 + 2x -1\) while another side measures \(5x + x^2 - 3\)
What is the total of two sides? Show all work.
If the perimeter measures\(3x^3 - x^2 - 8x +1\) what is the length of the missing side? Show all work.
If we know that \(x =2\) then what are the lengths of the three sides of the triangle? Show all work.
Is it possible to have these side lengths? Why or why not?
1.The total of two sides is: $6 + 8 = 14$.
2.The missing side has a length of 4.
3.All three inequalities are true, so these side lengths do form a valid triangle.
4. It is not possible to have side lengths.
1. To find the total of two sides of the triangle shelf, we simply add the two given side measurements together.
2. $Perimeter = a + b + c$ where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter measures 18, and we know that 6 and 8 are two of the sides, so we can substitute these values into the formula to solve for c:
$18 = 6 + 8 + c$
$18 - 14 = c$
$4 = c$
3. If we know that $a$ = 3, $b$ = 5, and $c$ = 8, we can check if these side lengths form a valid triangle by using the triangle inequality theorem, Therefore, we need to check if:
$a + b > c$
$b + c > a$
$a + c > b$
Substituting in the given values, we get:
$3 + 5 > 8$ (True)
$5 + 8 > 3$ (True)
$3 + 8 > 5$ (True)
4. of $a$ = 2, $b$ = 4, and $c$ = 7 for a triangle. The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side. If we apply this to the given values, we get:
$a + b > c$
$2 + 4 > 7$ (False)
For such more questions on inequalities
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Edit: Help please I will give brainliest who ever gets it right!!
Answer: the last two I think
Step-by-step explanation:
Answer:
4:16 and 6:24
Step-by-step explanation:
Simplify your answers to see if they match up with 1:4
4:16 = 1:4
6:24 = 1:4
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Answer:
Step-by-step explanation:
Complete the statements.
If both expressions have the same value after substituting two different values and simplifying, then they are
.
When p = 2, the first expression is
and the second expression is 16.
When p = 8, the first expression is 40 and the second expression is
.
The expressions are
.
Answer:
Step-by-step explanation:
when p is 2 you will have to dived the defeated so the answer is
helppppppppppppppppppppppppppp
Which statement is true about the relationship between the amount of plant food remaining and the number of days? Can you help me with this problem
Answer:
I think you're missing something
Step-by-step explanation:
Simplify -15- |-7.5|
Answer:
-22.5
Step-by-step explanation:
-15- |-7.5|
after taking the absolute value off, -7.5 would become positive 7.5. But then the negative outside the absolute value makes it negative again.
-15-7.5
=-22.5
The simplified expression -15 - |-7.5| is equal to -22.5.
To simplify the expression -15 - |-7.5|, we'll follow these steps:
Evaluate the absolute value: |-7.5|.
The absolute value of a number is its distance from zero on the number line. In this case, |-7.5| is equal to 7.5 because 7.5 units away from zero.
Substitute the absolute value into the expression:
-15 - 7.5.
Perform the subtraction:
-15 - 7.5 = -22.5.
Therefore, the simplified expression -15 - |-7.5| is equal to -22.5.
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According to the dot plot, how many more groups had 4 or 5 people than 1 or 7?
Select one:
8,
4,
3,
5
please help i don't understand. will mark brainliest. answer the both questions
Answer:
1-Undefined
2-Positive
Step-by-step explanation:
Answer:
The slope of a vertical line will always be 0
A graph with a negative slope increases from right to left
Step-by-step explanation:
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
A sporting goods store is having a sale in which all sleeping bags are discounted by 20%. Priya has a coupon for $5 off the regular price of a sleeping bag. The store first applies this coupon and then takes 20% off the reduced price. If Priya pays $34.40 for the sleeping bag, what was the original price, x, before the sale and without the coupon?
the original price was "x", which oddly enough is the 100%.
now, let's pluck out of "x" 5 bucks, so that makes it "x-5", that's our new adjusted 100%, from which the lady at the counter is happy to apply a 20% discount. Now, if the lady discounts 20% off of that "x-5" amount, what Priya is really paying for the sleeping bag is just 100% - 20% = 80%, and we happen to know that that 80% was really $34.40.
now, if "x - 5" is the 100%, and we know that 34.40 is the 80%, what the heck is "x"?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x-5 & 100\\ 34.40& 80 \end{array} \implies \cfrac{x-5}{34.40}~~=~~\cfrac{100}{80} \implies \cfrac{ x-5 }{ 34.40 } ~~=~~ \cfrac{ 5 }{ 4 } \\\\\\ 4x-20=172\implies 4x=192\implies x=\cfrac{192}{4}\implies x=48\)
Help!!
Use the diagram of the equilateral triangle shown below to answer the following questions. Show the work that leads to your answers. a. What is the perimeter of the triangle? b. What is the height, ℎ mm, of the equilateral triangle? Write an exact answer using a square root and an approximate answer rounded to the tenths place.
Answer:
Perimeter is 12mm, height is \(2\sqrt3\)mm in simplest radical form, and 3.5mm in approximate decimal form.
Step-by-step explanation:
The perimeter is easy; since it's an equilateral triangle, all sides are the same length of 4, so you can just do 3*4 (3 sides, 4mm each) to get a perimeter of 12.
For the height, you can see that it forms two right triangles, each with a given base of 2 and a hypotenuse of 4. We can apply the pythagorean theorem (\(a^2+b^2=c^2\)) here to find the missing leg length of the smaller right triangles, which is equal to the big triangle's height.
I've enclosed an attachment for that.
Hope this helps!
Mabel spends 4 hours to edit a 3 minute long video. She edits at a constant rate.
How long does Mabel spend to edit a 9 minute long video?
Answer: Mabel will take 12 hours to make a 9 minute video.
Step-by-step explanation:
4x3=12.
3x3=9.
Answer: Mabel will take 12 hours to make a 9 minute video.
Step-by-step explanation:
4x3=12.
3x3=9.
11.1 Warm-Up: What do you notice? What do you wonder?
11.2: Bugs Passing in the Night Continued...Part 1
11.2: Bugs Passing in the Night Continued...Part 2
11.3 A close race part 1
Cool Down: 11.4: Saving Cash: THE QUESTION IS IN THE IMAGES
Answer:
I hope this helps
Step-by-step explanation:
I think it's 11
....................
Answer:
?
Step-by-step explanation:
Please help me with this promblem!
Answer:
The answer is D
Ixl diagnostic
please help
picture is my question
Answer:
7.
Step-by-step explanation:
Let x be each roll of blue tickets the student council orders. They ordered 1 roll of 150 golden tickets, and plan to order blue tickets that come in rolls of 200. They plan to order a total number of, 1550 tickets..
The equation to represent this will be,
150 + 200x = 1550
We need to solve for X =
200x = 1400 =
x = 7
So number of rolls would equal:
7
Answer:
Step-by-step explanation:
7 rolls
Rewrite the answer as a mixed number fraction (if possible) 31/4 divided by 19/3 *
Answer:
Hope you get help with this❤️❤️
Step-by-step explanation:
Find the solution set of the inequality.
10c + 5 ≤ 45
6. As part of a science project, Juaquim
built the figure shown.
6a. How much space does the figure take up?
6b. What are the dimensions of the three
rectangular prisms you used to find the
volume of the figure?
14 in.
5 in.
6c. Draw lines on the figure to show how you could have divided it into
prisms differently.
14 in.
16 in.
6
-16 in.
5 in.
Answer:
Volume (V) = Area of base × height of the prism
Merry Christams Eve!
Thanks for always helping me!
Answer:
Merry xMAS!!!
Step-by-step explanation:
Answer:
Merry Christmas Eve 2 u too
Step-by-step explanation:
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
Please Help!!!!!!!
Due at 12:00 pm!!
what is |−5+ 3| 4 PLEASE
According to the 2019 census data, the population of Texas was about 2.5 x 10^7 people. The land area of Texas is about 2.6 x 10^5. What was the average number of people per square mile in 2010?
a. 0.96 x 10^2
b. 9.6 x 10^1
c. 0.96 x 10^35
d. 9.6 x 10^12
Finding people/square mile
There are x number of people in y area. To find x number of people in a single unit of area, divide by area.
\(\frac{(2.5 * 10^7) }{(2.6*10^5)}\)
2.5/2.6 = 0.96
10^7
____ subtract exponents, so 10^2
10^5
answer is (a) 0.96 x 10^2
A vitamin C tablet contains 1/40 of a gram of vitamin C. You take 1 1/2 tablets every day. In simplest form, how many grams of vitamin C do you take every day?
Answer: 3/80
I think it helpsAnswer:
3/80 of vitamin C everyday
Step-by-step explanation:
Given :A vitamin c tablet contains 1/40 of a gram of vitamin c
To Find : how many many grams of vitamin c do you take everyday
Solution :
A vitamin c tablet contains a gram of vitamin c = 1/40
You take 1 1/2 = 3/2 tablets everyday
1 tablet contain vitamin C = 1/40
contain vitamin C = 1/40 x 3/2
that means you take 3/80 grams a day
Determine whether this system of equations has one solution, no solution, or infinitely many solutions. y=8x+2 y=-8x+2
Answer:
Step-by-step explanation:
Since you already have y isolated in one equation, you can plug it in and use it in the other equation2y = 8x + 122(4x + 6) = 8x + 128x + 12 = 8x + 12Get the x's to one side 12 = 12Meaning you have infinitely many solutions. Try plugging in any x value you can think of and the left side will always equal the right side. sox = 0 --> 8(0) + 12 = 8(0) + 1212 =12x = 1 --> 8(1) + 12 = 8(1) + 1220 = 20and so on.I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12
Simplify 25(14–27)+25÷16.
marking brainlest
Answer:
-18.75 or -18 3/4
Step-by-step explanation:
I would like brainliest because I can'y move on anywhere from my account until i get three more.
Answer:25(14-27)+25÷16
25(-13)+25÷16
-325+25÷16
-300÷16
-18.75
Step-by-step explanation: I HOPE THIS HELPS CAN I GET BRAINLIEST PLZ
help me please thanksssss
Answer:
The post office is at (7,7)
Step-by-step explanation:
To get to the pet shop, go down 4 and left 1
Answer: (7, 7)
Step-by-step explanation:
Look at the point where the post office is. Look at the numbers below and the ones to the right. Look at the lines. There are two lines that lead to the location of the post office. The numbers next to the both of those lines should be 7 and 7. Which makes the ordered pair.
3x + 7 = 22
Solve for x.
Answer:
x=5
Step-by-step explanation:
step1: subtraction 7 from both sides (from 7 itself and 22)
step 2: divide both sides by 3
3x +7 =22
-7 =-7
3x=15
3x/3 = 25/3
x=5