Mathematics High School

A rectangle has side lengths (x + 7) and (x - 1). The area of the rectangle is 33 square feet. Solve to find the dimensions of the rectangle.
(Be sure to answer all parts.)
a. What equation did you set up to solve this equation?
b. What is the factored form of your equation?
c. What is/are the values of x in this situation?
d. What are the dimensions (side lengths) of the rectangle?

Answers

Answer 1
Answer:

a. (x+7)(x-1)=33

b. x²+6x-7=33

c. x= -4 or 10

d. 11 by 3

Answer 2
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Related Questions

What two integers does 226 lie between?

Answers

0 and 452
The average of 452 and 0 is 226

A 32-foot ladder leans against a building. The distance between the bottom of the ladder and the base of the building is
8.5 feet. What is the height, in feet, from the ground to the place on the building that the ladder touches? Round your
answer to the nearest tenth.

Answers

Answer:14

Step-by-step explanation:

happy 5685757

The height at which the ladder touches the building is required.

The height of building where the ladder touches the building is 30.9 feet.

Pythagoras theorem

a = Required height

b = Distance between the bottom of the ladder and the base of the building = 8.5 feet

c = Length of ladder = 32 feet

From the Pythagoras theorem we have

[tex]a^2+b^2=c^2\\\Rightarrow a=\sqrt{c^2-b^2}\\\Rightarrow a=\sqrt{32^2-8.5^2}\\\Rightarrow a=30.9\ \text{feet}[/tex]

Learn more about Pythagoras theorem:

https://brainly.com/question/343682

Three years ago, claire borrowed money from her father to pay for a class trip. She agreed to pay him 6% simple annual interest on the loan. Now she owes him 90$ in interest, plus the principal amount. How much did Clare borrow? The answer is 500, but how did you get that answer correctly? Step by step can u show me?

Answers

Answer:

Below

Step-by-step explanation:

6% simple annual interest on the loan for 3 years so 6x3=18

So the interest of the whole amount is 18%, so now you got to find what of 18% is 90

This looks like (initial amount)x(number)%=(final amount)

x=initial amount

number%=18

final amount=90

All percentages are just number%/100. So we have either 18/100, or .18 depending on how you want to work it.

So now we do 90÷0.18 which gives you the answer 500

Find the discriminant and the number of real roots for this equation.
4x + 12x + 9 = 0
A. O; two real roots
B. 0; one real root
C. -144; one real root
D. -144; no real roots
SUBMIT

Answers

Answer: 0; one real number

Step-by-step explanation:

A baby weighs 18 pounds at her four-month appointment. Six months later she weighs 24 pounds. By what percentage did the baby's weight increase?​

Answers

Answer:

33.33%

Step-by-step explanation:

We know that:

At her four month weighs: 18 pounds.

Six month later weighs: 24 pounds.

So, the baby increased 6 pounds. But, what percentage represents?

To solve this problem we use the rule of three:

If 18 pounds represents 100%, 24 pounds what percentage would be?

So, if we subtract 100%-133.33%, we have a 33.33% more. This means that the baby increased a 33.33% during those six months.

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6 Carrie ripped up a triangle and rearranged the corner
pieces of the triangle so that the sides touch and the
vertices meet at the same point. What do you notice?
Doa
this page to answer

Answers

Answer:

................................................................................................................................................................................................

Step-by-step explanation:

A cylinder has a height of 14 centimeters and a radius of 17 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Please Jesus God this is so important

Answers

Answer:

c

Step-by-step explanation:

this answer is C, hope its right for you

Please help me ASAP

Answers

if you need to factor the equation the answer is : (x-6) (x-5)

3/5 × 2/3?...
alguien me ayuda que no se ._.​

Answers

Answer:

2/5

Step-by-step explanation:

3/5*2/3=6/15=2/5

River C is 100 miles longer than River D. If the sum of their lengths is 5,500 miles, what is the length of each river?

Answers

Answer:

river C is 2850 and river B is 2650

which of the following shows a table of equivalent ratios?

Answers

A.
Every foot gets multiplied by 12 to get the inches making it equivalent.

Find X (-2x + 35 ) yd, 27yd, (4x-1)yd

Answers

Answer: 10         hope this helps^^

Step-by-step explanation: 2(27)= -2x+35+4x-1

=10 (answer)

took the quiz as well

Which of the following ratios are not equivalent to 7 : 3?

Multiple choice question.

A)
14 : 3


B)
14 : 6


C)
21 : 9


D)
28 : 12

Answers

A is not equivalent to 7:3
A is not equivalent.

Round 7,127 to the nearest hundred.

Answers

Answer:

7,100

Step-by-step explanation:

On a road map, 1 inch represents 2.25 miles.  Which statement or graph correctly represents this relationship?  Select all that apply.​

Answers

Answer:

2.25 inches

Step-by-step explanation:

Answer:

2.25 in

2.25 m

Step-by-step explanation:

please help

please help








​

Answers

Answer: 72/48 unless you have to simplify which would be 3/2 or do you want decimal?

Step-by-step explanation:

PLEASE ANSWER FAST this is homework and my teacher is giving us time to do it even if the deadline passed I don't know fractions

Answers

For this the answer for 6. Is 5/1 and 7. Is 9/1

Answer:

Step-by-step explanation:

5/7

P(x) = 3x3 - 3x2 + x - 1?​

Answers

Answer:

Step-by-step explanation:

Find the circumference of the circle. Use 3.14 and the symbol that it shows

Answers

Answer:

r=d/2=18/2=9cm

circumference=2πr=2×3.14×9=56.52cm

WILL MARK BRAINIEST IF RIGHT PLS ANSWER QUICK​

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

A) It deals with synthetic or superficial genes and traits like color, markings, size, and speed.

Use distributive property to rewrite expression -8((-2-3/4)-8)

Answers

Answer:

-86

Step-by-step explanation:

-8((-11/4)-8)

((11/4-8)

8x(-43/4)

-2×43=-86

An expression is shown 7/4 - ?/7 = 1 1/28 What is the missing number?

Answers

Answer:

i pretty sure the missing number is 4

Step-by-step explanation:

What is the answer to ...8.42 x 9

Answers

Answer:

75.78

Step-by-step explanation:

8.42*9=75.78

Answer:

75.78

Step-by-step explanation:

8.42 × 9 =  75.78

Given the following function

y = -1/2 (x-2)2+3

Find the vertex, y-intercept, and x intercepts.

Answers

here’s a graph from desmos!

help help help please im begging!! its trigonometry and its due tonight I'm so confused please help me out

Answers

Step-by-step explanation:

Its the bottom question sir

Find x and y
(45-45-90 formula)

Answers

Answer:

x-intercept(s):

None

y-intercept(s):

90

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the intercept, substitute in 0 for x and solve for y.

Write 18 as a product of its prime factors

Answers

Answer:

1, 18, 2, 9, 3, 6

I think

Answer:

Down Below!

Step-by-step explanation:

18 = 1 x 18, 2 x 9, or 3 x 6

Prime Factors: 18 = 2 x 3 x 3

Factors of 18: 1, 2, 3, 6, 9, 18

HELP ME ASAP PLEASE?!?
Find the length of the missing side. Simplify all radicals.

Answers

The missing side would be 10

What is the solution to the following equation? -6(x-2) + 3x = -3(x + 3) + 21
(This is not multiple choice and I need the answer in number form, with explanation please) :)

Answers

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

Simplifying the given equation, you have ...

  -6(x -2) +3x = -3(x +3) +21 . . . . . given

  -6x +12 +3x = -3x -9 +21 . . . . . . eliminate parentheses

  -3x +12 = -3x +13 . . . . . . . . . . . . collect terms

  0 = 1 . . . . . . . . . . . . . add (3x-12) to both sides

There is no value of x that will make this true.

The equation has NO SOLUTION.

-6(x+2) + 3x = -3(x+3) + 21

-6x - 12 + 3x = -3x - 9 + 21

-3x - 12 = -3x + 12

-3x + 3x = 12 + 12

0 = 24

Sorry but this equation has no solution.
-3x + 3x = 0, x is cancelled out so we can’t find ‘x’.

Evaluate q - p when p = 8 and q = 23

Answers

Answer:

15

Step-by-step explanation:

q-p = 23 - 8

= 15

I hope this is correct

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