The area of a rectangle is 2x^2-7x-15. Determine binomials that represent the length and the width if this triangle
Answers
Answer:
\((x-5),(2x+3)\)
Step-by-step explanation:
Given: area of a rectangle is \(2x^2-7x-15\)
To find: binomials that represent the length and the width of the rectangle
Solution:
A polynomial that consists of two terms is known as binomial.
\(2x^2-7x-15=2x^2-10x+3x-15\\=2x(x-5)+3(x-5)\\=(2x+3)(x-5)\)
Also, area of rectangle is length × breadth
So, length × breadth = \((2x+3)(x-5)\)
So, length = 2x+3, breadth = x-5 or length = x-5, breadth = 2x+3
Related Questions
Ethan was able to run a lap on the quarter mile track in 90 seconds. He wants to know how long it would take him to run a 5K race, which is 3.1 miles. 1 - How many times longer than the quarter mile is a 5K? 2 - If Ethan maintains his pace (speed) for the full distance, how long would it take him to complete the race?
Answers
Answer:
1. 13 times
2. 1170 sec = 19 min 50 sec
Step-by-step explanation:
1. 3.1 times 4 quoters = 13 times
90 sec
x 13 times
270
900
1170 sec = 19 min 50 sec
Answer:
19 min 50 sec
Step-by-step explanation:
istg some 1 help
A label is placed around a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.
image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.8 inches
94.4π square inches
32π square inches
30.1π square inches
62.4π square inches
Answers
Answer:
Step-by-step explanation:
c
15) Joe had 1 /4 of an acre of land. He wanted to plant 3 different types of vegetables in equal amounts of space. How much land will he use for each type of vegetable?
Answers
Answer:
1/12 land would be used for each type of vegetable
Step-by-step explanation:
First, Joe has 1/4 of an acre of land and 3 different types of plants he wants to plant for equal distance within that area. To find out the land he will use for each type of vegetable you must divide 1/4 by 3
The simplest way to divide fractions is to use cross multiplication
1 1 1
_ x _ = _
4 3 12
Therefore 1/12 of an acre is the amount of land he will use for each type of vegetable.
To check this just multiply 1/12 by 3 giving you 3/12 which can be simplified back into 1/4
create equivalent ratios by completing a ratio table for each. 1. 7 to 5 ( using multiplication), 2. 50:20 ( using division), 3. 3/4 (using multiplication), 4. 18:48 ( using division)
ASAP
Answers
Step-by-step explanation:
7 : 5
\( \binom{7 \: 14 \: 21 \: 28 \: 35}{5 \: 10 \: 15 \: 20 \: 25} \)
50 : 20
\( \binom{50 \: 25 \: 5}{20 \: 10 \: 2} \)
3 : 8
\( \binom{3 \: 6 \: 9 \: 12 \: 15 \: 18}{8 \: 16 \: 24 \: 32 \: 40 \: 48} \)
18 : 48
\( \binom{18 \: 9 \: 6 \: 3}{48 \: 24 \: 16 \: 8} \)
Ratios must always remain proportional;
Whenever you multiply or divide one part by a number, you must do the same to the other part/s;
When it comes to division, you can divide by all common factors
Miranda has 5/8 of a yard of ribbon. if she used 1/3 of it to make a hair bow, how much ribbon would she have left. PLEASE HELP ME ILL GIVE U BRAINLIEST RIGHT AWAY THXS HELPPPPPP
Answers
Answer: 5/12
Step-by-step explanation:
Step 1
Whenever you have something OF something, you just mulltiply.
1/3 of 5/8=
1/3x5/8
5/24
She used 5/24, and started with 5/8
5/8-5/24= 5/12 left
\(\textsf {Finding the LCM of the 2 quantities :}\)
\(\implies \mathsf {3 \times 8}\)
\(\implies \mathsf {LCM = 24}\)
\(\textsf {Now, take the given quantites with our LCM as the denominator}\\\textsf {and subtract used value from the total :}\)
\(\implies \mathsf {\frac{5}{8} - \frac{1}{3} \times \frac{5}{8}}\)
\(\implies \mathsf {\frac{15}{24} - \frac{5}{24}}\)
\(\implies \mathsf {\frac{10}{24} = \frac{5}{12}}\)
\(\textsf {Therefore, Miranda will have}\) \(\mathsf {\frac{5}{12}}\) \(\textsf {of the ribbon left. }\)
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?
Answers
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:
9-20 convert each unit of capacity
Answers
Answer:
9. 6.00475 qt
10. 6 c
11. 0.25 pt
12. 18 1/2 OR 18.5 c
13. 21.6171 qt
14. 7.5 gal to 30 qt
15. 0.25 gal
16. 80 cups
17. 128 fluid ounces
18. 56 fl oz
19. 10.8085 gal
20. 2/3 c
You need to move a figure to the right 3 units and down 4 units.
What is the coordinate notation for this rule?
(x,y) → (x + 3, y + 4)
(x, y) → (x - 3, y + 4)
(x, y) → (x + 3, y - 4)
(x,y) → (x + 4, y - 3)
Answers
The coordinate notation for this rule as -
(x, y) → (x + 3, y - 4).
What are the types of translations?There are three types of translations -
reflectionrotationdilationGiven is that you need to move a figure to the right 3 units and down 4 units.
We can write the coordinate notation for this rule as -
(x, y) → (x + 3, y - 4)
Therefore, the coordinate notation for this rule as -
(x, y) → (x + 3, y - 4).
To solve more questions on graph rotation, visit the link below-
https://brainly.com/question/19527326
#SPJ2
please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
Please help asap. Algebraic expressions.
Answers
Answer:
D+8t-48
_____________
8
Step-by-step explanation:
T+1/8 d - 6
I did rewrite the expressions hopes this help
pls helpppppppppp pps pls pls
Answers
Needs to be 20 characters long, noticed people had bad answers, I hope I did this right I’m a bit rusty. :) I recommend using Photomath and Desmos to help with stuff as well!!
Answer:
y=-3x+5
Step-by-step explanation:
3x+y+2=0
y=-3x-2 slope is -3
y-(-4)=-3(x-3)
y+4=-3x+9
y=-3x+9-4
y=-3x+5
Mental heath day GET SOMETHING OFF YOUR CHEST! (20 points)
rules:
-no hate
-dont be mean
-only good vibes
-say anything
-respect others for being brave and saying it
-have a great day
Staff-please delete after people have gotten help
Answers
Answer:
I'm tried of smiling for others and holding all their problems
mean of 8 5 7 5 9 3 5
Answers
A Company Is Desinging A New Cylindrical Water Bottle.
Answers
Answer:
The answer is 28
Step-by-step explanation:
i only knew that because i just copied the other person’s answer
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
Danielle wants to treat her friends to a night at the movies . The movie tickets cost $9.50 and she wants to spend $20 on popcorn and candy.
If she has $130 dollars to spend, how many friends can she invite?
Answers
Answer:she can invite 11 friends
Step-by-step explanation:
Explain this one too please? As detailed as you can!♡ Thanks so much!♡♡
Answers
Im sorry if it’s wrong
explanation: plug in your values, in this situation 3=pi, or the symbol you see to the right of the equal sign in the picture listed.
you now have v=3(8^2)(12)
(8^2 means 8 squared i don’t have the correct symbols)
now you can go ahead and solve by multiplying v=3(64)(12)
(64 is 8 squared or as listed above 8^2)
after multiplying you should get v=2304
sorry if this is incorrect, but i’m pretty sure it is right, hope this helps! :)
Help pls. Also wdym this is to short yk why so long >:/
Answers
Answer:
Y= mx + b
so Y = 1/3x + 2
just substitute
Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.
Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1
Jacki evaluated the expression below.
2 cubed (3 minus 1) + 4 (8 minus 12) = 2 cubed (2) + 4 (4) = 8 (2) + 16 = 16 + 16 = 32.
What was Jacki’s error?
Answers
Answer:
C Jack did not subtract 12 from 8 correctly
Step-by-step explanation:
\(2^3(3-1)+4(8-12)=2^3(2)+4(-4)\)
it should be -4, not +4
please help ill give brainliest
Answers
Find the missing angle.
Answers
Answer:
total angle of a triangle = 180°
other two angles = 85° , 65°
∴ the missing angle = 180 - ( 85 + 65 )
= 180 - 150
= 30
hope this answer helps you..
please mark as brainliest... thank you!
Which number can be used in the box to make the number sentence true?
26-8 >_ + 3
A.11
B.15
C.23
D.26
Answers
Answer:
Step-by-step explanation:bbbb
After Donavan gives Mabel 6 pears, she has ( x + 6 ) pears. If Mabel gives one-third of her pears to Nelson, how many pears in terms of x, does Nelson have?
Answers
Answer:
\(\frac{1}{3}\) x + 2
Step-by-step explanation:
\(\frac{1}{3}\)(x + 6) Distribute the \(\frac{1}{3}\)
\(\frac{1}{3}\)x + \(\frac{1}{3}\)(6)
\(\frac{1}{3}\)x + \(\frac{1}{3}\)\((\frac{6}{1})\) another way to write 6 is \(\frac{6}{1}\)
\(\frac{1}{3}\)x + \(\frac{6}{3}\)
\(\frac{1}{3}\)x + 2 (6÷3 = 2)
Answer:
Step-by-step explanation:
\((x+6)*1/3\\\)
Which fraction from problem 2 is greater than 1 1/2? Explain how you know. Can you please also answer both of the questions
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B. 1/3, 12/15, 3/10, 2/5
C. 3/3
2. 16/10 that is because it would simplify to 1 6/10 which is over 1 5/10 which is 1 1/2 unsimplified
Evaulate each expression when n = 2.3
N + 8n2 - 17=
Answers
Answer: 27.62
Step-by-step explanation:
plug in 2.3 wherever 'n' is
I'm assuming that the '2' in 8n2 is an exponent
2.3 + 8(2.3)² - 17 =
Using PEMDAS
start out with exponent since there isn't any parenthesis
(2.3)² = 5.29
2.3 + 8(5.29) - 17
move on to multiplication
8(5.29) = 42.32
2.3 + 42.32 - 17
with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there
2.3 + 42.32 = 44.62
then the subtraction
44.62 - 17 = 27.62
Answer:
Step-by-step explanation:
The answer is 27.62
PLease help me solve this please
Answers
Answer:
I only did the first page because u need to read a text book to answer the next page.
try reposting it
what value of x makes this equation true -(x+3)=2(x-3)
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:
Step 1: Distribute the negative sign on the left side of the equation:
-(x + 3) = 2(x - 3)
=> -x - 3 = 2(x - 3) (using the distributive property)
Step 2: Expand the right side of the equation:
-x - 3 = 2x - 6
Step 3: Add x to both sides of the equation to isolate the x term on one side:
-x + x - 3 = 2x + x - 6
=> -3 = 3x - 6
Step 4: Add 6 to both sides of the equation:
-3 + 6 = 3x - 6 + 6
=> 3 = 3x
Step 5: Divide both sides of the equation by 3 to solve for x:
3/3 = 3x/3
=> 1 = x
So, the correct value of x that makes the equation true is B. 1.
PLEASE MARK BRAILYISTT :D
Answer:
B, one
Step-by-step explanation:
In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.
How can I find the cube root of 64?
Answers
Answer:
4
Step-by-step explanation:
The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.
The cube root of 64 is 4.
Before solving the question, let's understand the concept of cube root.
The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.
The cube root is denoted by ∛
Now, we will find the cube root of 64.
Firstly, we have to find factor 64.
64 = 2 × 2 × 2 × 2 × 2 × 2.
64 = ∛4³
64 = 4
Therefore, the cube root of 64 is 4.
To know more about cube root:
https://brainly.com/question/12105008
The following box-and-whisker plot shows the distribution of ratings a new restaurant received from 100 food critics that reviewed it. Seventy-five percent of critics did not rate it higher than what number?
Answers
Answer:
8.5
Step-by-step explanation:
according to the image
10-4=6
6 x 75%=4.5
4+4.5= 8.5
please mark as brainliest!!Box plots (or box-and-whisper plots) show what is known as ‘quartiles’. The median point on the box plot is also known as quartile 2, the first point line as quartile 1, and the last as quartile 3. 4 is the minimum rating, and 10 is the maximum as shown by the two horizontal lines on the box-and-whisker plot.
Quartile 3 shows the 75th percentile. As it is situated on 9, seventy-five percent of critics did not rate it higher than 9. Thus, the answer is 9.
Can someone help me out… thx
Answers
Answer:
1728
Step-by-step explanation: