Maddie and Josh are trying to clean the roof of their house. They place the base of the ladder 3 feet away from the base of the house. Their ladder is 27 feet long. What angle does the ladder make with the ground?

Answer:

We start with the equation:

(x^2 - 1)/(x + 1) = 2

We want to rewrite this in standard form.

We can multiply both sides by (x + 1) to get:

((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)

x^2 - 1 = 2*(x + 1) = 2*x + 2

Now we can move all the terms to one side to get:

x^2 - 1 - 2 - 2*x = 0

x^2 - 2*x - 3 = 0

And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:

[tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4*1*(-3)} }{2*1} = \frac{2 \pm 4}{2}[/tex]

Then the two solutions are:

x = (2 + 4)/2 = 3

x = (2 - 4)/2 = -1

Answer:

Step-by-step explanation:

1 ÷ 2(2x+6) = 4x-1

[tex]\frac{1}{2(2x + 6)} = 4x -1[/tex]

[tex]\frac{1}{2*2x+2*6 } = 4x - 1 \\\\\frac{1}{4x + 12} = 4x - 1\\[/tex]

1 = (4x - 1)(4x + 12)

Use FOIL method.

1 = 4x * 4x  + 4x *12 - 1 * 4x - 1*12

1 = 16x² + 48x - 4x - 12

1 = 16x² + 44x -12

0 = 16x² + 44x - 12 -1

16x² + 44x - 13 = 0

Answer:

Number of books with Mrs. Hall = 32

Step-by-step explanation:

Suppose that Mrs. Hill has [tex]x[/tex] books.

Also, Mr. Lopez has 24 more books than Mrs. Hill.

So,

Number of books with Mr. Lopez = [tex]x+24[/tex]

Ratio of their books = [tex]7:4[/tex]

Therefore,

[tex]\frac{x+24}{x}=\frac{7}{4}\\\\4(x+24)=7x\\\\4x+96=7x\\\\96=3x\\x=\frac{96}{3}\\\\x=32[/tex]

Number of books with Mrs. Hall = 32

Answer:

La respuesta es falso

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

Answer: The answer is NO

Step-by-step explanation:

Answer:

3p+2p+8-3=15

5p+5-15=0

5p-10=0

5(p-2)=0

(if you want to solve it p=2)

Answer:

3.14ft²

Step-by-step explanation:

Area of a circle= πr²

= 3.14 x 1²

= 3.14 x 1

= 3.14 ft²

Answer:

24

Step-by-step explanation:

all the other numbers are not that far in range from each other but 24 is way off so its the outlier

Answer:

tan ∅ = 15/8

Step-by-step explanation:

tan ∅ = 15/8

Answer:

See attachment for number line

Step-by-step explanation:

Given

[tex]Ian = \frac{6}{8}[/tex]

[tex]Anna = \frac{3}{4}[/tex]

Required

Number line to represent both amounts

The interval on the number line is 16.

So, we need to calculate the position of both as thus.

[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]

[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]

So, both will be positioned on the 12th position.

The yellow dot represents Anna while the blue dot represents Ian

See attachment for their position on the number line

Answer:

1. 35 pages in 7 days

2. 63 pages in 9 tables

3. 408 student on 8 buses

Step-by-step explanation:

the second one, and the third one

According to the function Graph 2 , 3 and 4 are correctly graphed.

It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

To determine which are the functions whose domain value match with that of the graph drawn ,

The values of the domains needs to be checked at various points , those graph are drawn correctly will correlate with the function values.

Graph 1 is not correctly graphed

Graph 2 , 3 and 4 are correctly graphed according to the function.

To know more about the function

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Answer:

oopsie delete this

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

4*5= 20

6/3 = 2

9+5= 14

20+2+14= 36

Answer:

still

Step-by-step explanation:

still thinking sorry

Answer:

there could be more than one answer...

Step-by-step explanation:

Answer:

Retirement Checking Savings

Step-by-step explanation:

in that order(khan said so)

Answer:

y=15

Step-by-step explanation:

Answer:

y=15

Step-by-step explanation:

To find y:

8y=120 –––Divide both sides by 8 so you can get y alone

y=15

Answer:

its the fortnite man can i get brainlest plsss

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

We plug in 4 for m and 1/2 for n.

[tex]\frac{4}{8(\frac{1}{2}) }[/tex] = [tex]\frac{4}{4}[/tex] = 1

Hope this helped!

Answer:

the answer is 4 × (17 - 9)

difference = 17 - 9

product 4 times

Here is my answer. I hope this is helpful.

Answer: 19.2%

Step-by-step explanation:

APR= (2(n)(r))/(n+1)

APR= 2(6)(0.112)/(6+1)

APR= 19.2

n= number of monthly payments (6)

r= the rate (11.2% or 0.112)

The solution is Option C.

The annual percentage rate of Penny is 22.4 %

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.

An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.

Given data ,

Let the annual percentage rate be represented as A

Now , the value of A is

The simple interest rate R of Penny = 11.2 %

The time period of Penny n = 6 months

The annual percentage rate is calculated by = ( 12 x R ) / n

Substituting the values in the equation , we get

The annual percentage rate A = ( 12 x 11.2 ) / 6

The annual percentage rate A = 2 x 11.2

The annual percentage rate A = 22.4 %

Therefore , the value of A is 22.4 %

Hence , the annual percentage rate is 22.4 %

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Answer:

5

Step-by-step explanation:

( 2 + 4 + 6 + 8) / 4  = 5

Step-by-step explanation:

2+4+6+8=20

numbers of digits=4

average=sum of observation/numbers of observation

average=20/4=5

MARK ME AS A BRAINLIST, sister

Answer:

W + 1.4 = 2.7

Step-by-step explanation:

W + 1.4 = 2.7

W and 1.4 are on one hand and 2.7 is on the other hand

Answer:

18

Step-by-step explanation:

Answer:

x y

12 100

13 70

14 40

Step-by-step explanation: