A rectangle has an area of 4y^2 – 49 square units. What are the dimensions of the rectangle?

A) (2y – 7) units by (2y – 7) units

B) (4y – 49) units by (y + 1) units

C) (2y – 7) units by (2y + 7) units

D) (y – 7) units by (4y + 7) units

Answers

Answer 1

The dimensions of the rectangle are (2y – 7) units by (2y + 7) units

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as

Area = length * width

Given the following parameter

Area = .4y² - 49

Factorize the area

Area = (2y)² - 7²

Using the difference of two square

Area = (2y - 7)(2 y + 7)

Hence the dimensions of the rectangle are (2y – 7) units by (2y + 7) units

Learn more on area of rectangle here: https://brainly.com/question/25292087

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Related Questions

Find the inverse of function f. A.f-1(x)=7x+9 B.f-1(x)=1/9x-7/9 C.f-1(x)=7/9x-1/9 D.f-1(x)=-9x-7

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Answer:

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Step-by-step explanation:

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Answers

Answer:   1/8

1 goes in the green blank space

8 goes in the gray blank space

========================================================

Explanation:

H = heads

T = tails

HHH means we get 3 heads in a row, HHT means heads twice then tails the third time, and so on.

Here are the 8 ways to flip three coins (note: 2^3 = 2*2*2 = 8).

HHHHHTHTHHTTTHHTHTTTHTTT

We see that HHH only comes up once out of 8 total times. Therefore, the probability of getting HHH is 1/8

------------

Another way to see the answer is note that P(H) = 1/2 is the probability of getting heads on a single coin flip

Then with two coin flips, we have P(HH) = P(H)*P(H) = (1/2)*(1/2) = 1/4. Each coin flip is independent of one another.

And finally, P(HHH) = P(H)*P(H)*P(H) = (1/2)*(1/2)*(1/2) = 1/8

-4i+ 3i= i- 8+ 3i- 12

Answers

Answer:

Step-by-step explanation:

-4i+3i=i-8+3i-12

-i=4i-20

20=4i+i

20=5i

20/5=i

4=i

Based on the pattern in the picture, how many squares do you think will be used to create the 5th figure? make a table.

Answers

Answer:

I think it is 7 squares.

Step-by-step explanation:

As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.

What is the slope of the line shown below?

Answers

Answer: b

Step-by-step explanation:

inez sells 24.8 acres of land for 22,568 what is the price per acre

Answers

Answer:

£910

Step-by-step explanation:

You have to divide the amount of acres by the overall price.

Hope this helped

what divided by 6 = 0.2

Answers

Answer:

6 divided by 30 is equal to 0.2.  

Step-by-step explanation:

You make the fraction into 6/30, you reduce it to 1/5 which then you do 1 divided by 5 which also gets you to 0.2.

Simplify for ez points!

Answers

Answer:A

Step-by-step explanation:  divide both by 5 and you get 3/4 because 15 divided by 5 = 3 and 20 divided by 5 =4

The answer is A your welcome

Please help me!
Find the indicated sum for each sequence.


S9 of –9, 36, –144, 576, ...

Answers

Answer:

the answer is to multliply it by -4

if y=4x what does m equal

Answers

Answer:

m equals 4

Step-by-step explanation:

m represents the slope of the line.

The line equation is y = mx + b, which means that m = 4 and b = 0

is 3 bigger than 3.3

Answers

Answer:

No.

Step-by-step explanation:

3.3 is bigger than 3 by .3: )

Answer:

no.

3.3 > 3

Step-by-step explanation:

helpppp!!!
Make a conjecture about the number of units produce in 50 hours

Answers

I think it would be 35/50 for the number of units produced in 50 hours. I had a question similar to this in a McGraw Hill Grade 8 math book.

The weight of oranges growing in an orchard is normally distributed with a mean weight of 5 oz. and a standard deviation of 0.5 oz. From a batch of 1500 oranges, how many would be expected to weight less than 5 oz., to the nearest whole number?

Answers

Answer:

The interval that would represent weights of the middle 95% of all oranges from this orchard is from 5 oz to 7 oz.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 6

Standard deviation = 0.5

Middle 95% of weights:

By the Empirical Rule, within 2 standard deviations of the mean.

6 - 2*0.5 = 5

6 + 2*0.5 = 7

The interval that would represent weights of the middle 95% of all oranges from this orchard is from 5 oz to 7 oz.

Simplify.
7/8 x 1 1/3

A. 7/24
B. 28/24
C. 1 1/6
D. 1 7/24

Answers

It’s A it’s honestly a simple equation just can’t explain it in typing
im pretty sure its a !!

id..934 3583126
pass..h9nBb
for s
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Answers

Is this a zoom or am I trippin?

PLEASE HELP! i will give brainliest

Answers

Answer:

2)  $300

Step-by-step explanation:

I used the the following two points to find slope:

(9,400) and (8,350) to get a slope of 50

therefore, f(x) = 50x

f(6) = 50(6)

f(6) = 300

What is taxes? What is Texas' tax rate?

Answers

Taxes are extra expenses that the government gives to support the economy and the rest goes to the shop owner and the employees. Texas’ tax rate is 6.25%.

Solve the angle using trigonometry

Answers

Answer:

Step-by-step explanation:

Um angle T and R don't exist on this triangle. Only sides and Angles A B C.

But remember Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

S o/h    C a/h    T o/a

please help if i don't pass I'm done

Answers

5 x 10 x 15 =750
5 x 5 x 5= 125
125+750= 875
875cm^2

Answer:

500cm^3

Step-by-step explanation:

Can be divided intI a square and cuboid

Volume of square= Length^4

Volume= 5^3

V=125cm^3

Volume of cuboid= L× B × H

Volume= 15× 5× 5

Volume=375cm^3

375+125= 500

PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!

Answers

Answer:

A. Yes, [tex]12\cdot 32> 360[/tex]

B. An underestimate could lead to you being stranded on a road trip in the middle of nowhere without guess. When it comes to these things, it's better to have more than necessary. After all, you'd rather have gas and not need it than need it and not have it.

Step-by-step explanation:

A. We can quickly calculate that 12 x 30 = 360. We need to travel 10 more miles to get to 370, but we have 2 miles per gallon and 12 gallons of gas, or 12 x 2 = 24 more miles! Upon further inspection it is evident that 12 x 32 = 360 + 24 = 384 which is indeed larger than 370.

B. Answer contains explanation.

The sphere at the right fits snugly inside a cube with 18​-in. edges. What is the approximate volume of the space between the sphere and​ cube?

Answers

Answer:

2,778 in³

Step-by-step explanation:

Volume cube

v = 18³

v = 5,832

Volume sphere

v = (4/3)π9³

v = 3,053.6280592893

Volume space

v = 5,832 - 3,053.6280592893

v = 2,778.3719407107

2,778 in³

Answer:

Step-by-step explanation:

We need to first find the volume of the cube, then subtract from it the volume of the sphere. This is what we are being asked to find. First, the volume of the cube is length times width times height. Since this is a cube, all of the sides are the same length, making the volume

V = 18³ so

V = 5832 inches cubed. Now for the sphere.

The formula for the volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] and we will use 3.1415 for π.

[tex]V=\frac{4}{3}(3.1415)(9)^3[/tex] which gives us

V = 3053.538

Subtracting the volume of the sphere from the volume of the cube:

V = 5832 - 3053.538

V = 2778.462 inches cubed

To rent a certain meeting room, a college charges a reservation fee of 13 and an additional fee of 6 per hour. The chemistry club wants to spend less than 73 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?

Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

Answe

I LIKE YR CUT G!

Step-by-step explanation:

PLEASE HELP. I NEED ASAP WILL GIVE BRAINLIEST. WORTH A LOT OF POINTS

Ronald was given the pair of equations shown below, which are in slope-intercept form (y = mx + b):

y = 3x − 2
y = 5x − 6

Part A: Ronald does not know how to solve the system of equations. Help him by writing the slope (m) and y-intercept (b) for each equation, and in your own words, explain how you can solve the pair of equations graphically.

Part B: Now that you have helped get Ronald started, solve the system and write the solution to the pair of equations in (x, y) format so Ronald can check his work and answer.

Answers

Step-by-step explanation:

y = mx +b

m - the slope; b- y-intercept

therefore;

y = 3x - 4

m = 6; b = -4

y = 5x - 3

m = 5; b = -3

The coordinates of the point where the lines are crossed are the solution to the system of linear equations.

How to graph the lines:

y = 6x - 4

y-intercept (0; -4)

for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)

y = 5x - 3

y-intercept (0; -3)

for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)

***look at the img for graph reference***

Part B: x = 1; y = 2

what is law of sines

Answers

Answer:

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles

The Law of Sines (or Sine Rule) is very useful for solving triangles:

a/sin A=b/sin B=c/sin C

hope this helps

have a good day :)

Step-by-step explanation:

PLEASE HELP ASAP ILL MAKE BRAINLIEST HURRY

The graph below shows the amount of money earned based on the number of hours spent tutoring.



Select all the true statements based on the graph.

A
Point C represents the total amount earned after tutoring for 4 hours.

B
The total amount earned is $6 after tutoring for 90 hours.

C
The total amount earned is $15 per hour.

D
The point (5,75) represents that $75 was earned after tutoring for 5 hours.

Answers

Answer: C and D

Step-by-step explanation:

Answer:

A and B are both credible on the graph.

(trigonometry) solve for x

Answers

Answer:

x around 53.7

Step-by-step explanation:

We use cosine^-1 to solve for x

In the calculator put in cos^-1 (16/27)

See the picture below

Solve for x algebraically x/4 ≤ 6

Answers

Answer:

x ≤ 24

Step-by-step explanation:

x/4 ≤ 6

Multiply each side by 4

x/4 *4 ≤ 6*4

x ≤ 24

Answer:

[tex]x\leq 24[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

This is for math pls help I need this done

Answers

Answer:

its upside down turn it around

Step-by-step explanation:

Expand and combine like terms.
(4b^2+ 3) (4b^2- 3) =

1
SEE ANSWER

Answers

Answer:

Step-by-step explanation:

(4b^2+3)(4b^2-3)

since it is the expanded form of formula a^2-b^2=(a+b)(a-b) we can write,

=(4b^2)^2-(3)^3

=16b^4-9

hey! i’ll give brainliest please help

Answers

Answer:

a mans car...

Step-by-step explanation:

a man's car breaks down while driving to work

because all the other ones are in their head

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