Steve puts an 18-foot ladder against his house. The ladder reaches a height of 15 feet on the house. How far
is the bottom of the ladder from the base of the house? Leave the answer as a simplified square root.

Answer:

B) h=10

Step-by-step explanation:

5sq rt 2=sq rt 50

Pythagorean theorem

(sq rt 50)^2=50

h^2=50^2+50^2=100^2

h=10

Answer:

SEE EXPLANATION

Step-by-step explanation:

Side opposite to larger angle is larger and the side opposite to smaller angle is smaller.

Side opposite to the angle ABH is AH

and side opposite to angle GHB is GB

Since angle ABH > angle GHB..... (given)

Therefore, AH > GB

Answer:

116

Hope this helps you :)

Answer:

D

Step-by-step explanation:

a clockwise rotation 90 degrees results in a transformation like this:

[tex](x,y)[/tex]⇒[tex](y,-x)[/tex]

plz mark me brainliest. :)

Answer: Yes, its right.

Step-by-step explanation:

1/2 / 6=  0.08333...

Answer: Is D

Step-by-step explanation:

I hope I am right if I'm not please correct me

Answer:

B.The rate of change of function A is 2.

The rate of change of function B is 2.

Rate of function A: 2 (coefficient for x)

Rate of function B: 2, because an increment of 1 in x (e.g. 3 to 4) yields an increment of 2 in y (3 to 5)

Have a beautiful day!

Answer:

475 × 1.48^9 or 16182

Step-by-step explanation:

We start with 475. Then to find the number of students after 1 year we mult 475 by 1.48 (48% + 1 because we're increasing in students). But, to get it after 9 years, we raise that 1.48 to the power of 9 which is equal to 1.48 * 1.48 * 1.48 and so on 9 times. This leads us to our final equation of 475 * 1.48^9 or roughly 16,182

Answer:

Step-by-step explanation:

475 4.8

Answer:

Step-by-step explanation:1) Find the domain of the given function. f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.

using a graphical tool    see the attachment  

the answer is C) x ≥ -3, x ≠ 2  

2. Identify intervals on which the function is increasing, decreasing, or constant.

g(x) = 2 - (x - 7)2

using a graphical tool    

see the attachment

the answer is  C) Increasing: x < 7; decreasing: x > 7

3. Perform the requested operation or operations.

f(x) = 4x + 7, g(x) = 3x2

Find (f + g)(x).

(f + g)(x) = f(x) + g(x)

(f + g)(x) = 4x + 7 + 3x^2

(f + g)(x) = 3x^2 + 4x + 7

The answer is  C) 4x + 7 + 3x2

4. Perform the requested operation or operations.

f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)).

f(x)=(x-5)/8    g(x)=8x+5

g(f(x))=8((x-5)/8)+5=x-5+5=x

the answer is  B) g(f(x)) = x  

5. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five.

y=f(g(x))=9/((5x+5) ^1/2)

let do

g(x)=5x+5...........so

f(x)= 9/( x^1/2)

the answer is  A) f(x) = nine divided by square root of x. , g(x) = 5x + 5

6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?

Original size- >4km*4km=16 km2

4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km

Therefore

3km----------------------------- 1 sec

(8km-4km)---------------------x

X=4/3=1.33 sec

The answer is D) 1.33 sec

7. Find the inverse of the function.

f(x) = the cube root of quantity x divided by seven. - 9

to solve, replace f(x) with y , switch x and y, solve for y and replace y with f⁻¹(x)

f(x)=((x/7)-9) ^(1/3)

replace f(x) with y

y=((x/7)-9) ^(1/3)

switch x and y

x=((y/7)-9) ^(1/3)

solve for y

x^3=((y/7)-9)

x^3+9=y/7

y=7(x^3+9)

the answer is C) f-1(x) = 7(x3 + 9)  

8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9

using a graphical tool     see the attachment  the answer is C) Shift the graph of y = x2 right 14 units and then down 9 units  

9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '

f(x)=(x-9) ^1/2  g(x)=(x+5) ^1/2

using a graphical tool     see the attachment

the answer is C) Shift the graph of f left 14 units

10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.

f(x) = -16x5 - 7x4 – 6

The answer is B) Degree: 5; leading coefficient: -16

11. Write the quadratic function in vertex form.y = x2 + 4x + 7

Complete the square on the right side of the equation

Use the form ax2+bx+cax2+bx+c, to find the values of a, b, and c.

a=1,b=4,c=7

Consider the vertex form of a parabola.

a(x+d)2+e

Find the value of dd using the formula d=b/2a

d=4/(2*1)=2

Find the value of e using the formula e=c−b2/4a

e=7−4=3

Substitute the values of a, d, and e into the vertex form a(x+d)2+e

(x+2)2+3

The answer is A) y = (x + 2)2+ 3

12. Find the zeros of the function.

f(x) = 3x3 - 12x2 - 15x

using a graphical tool   (see the attachment)x1=-1

x2=0

x3=5

The answer is C) 0, -1, and 5

13. Find a cubic function with the given zeros.7, -3, 2

X1=7

X2=-3

X3=2

f(x)=(x-7)(x+3)(x-2)=(x2-4x-21)(x-2)=x3-6x2-13x+42

the answer is C) f(x) = x3 - 6x2 - 13x + 42  

14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3

f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946

 The answer is the B) 946

15.  Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24

The constant term of () is -24

The leading coefficient is 1.

We have to only consider the factors of the constant (leading coefficient = 1)

The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24

The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

Answer:

A E F

Step-by-step explanation:

I just did it on a calculator and saw if was a recurring

Answer:

I think D the function has a maximum value of -61

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

46% of 100 is 46

Answer:

A

Step-by-step explanation:

So it is 5+15<75 is the anwer

Answer:

15 AND 150

Step-by-step explanation:

7.50/5

1.5

multiply by 10

15

1.5

multiply by 100

150

Answer:

Step-by-step explanation:

All of the answer choices are wrong lol. The answer choice is supposed to be (173+124) divided by 3. Total students divided by student per seat. Your closest answer choice is going to be (175+125) divided by 3. Hope this helped!

Answer:

A lot

Step-by-step explanation:

First, we determine the speed of the ferry by dividing the distance by the time it took to cover that certain distance.

speed = (1/6) / (3/7)

speed = 7/18

Then, the distance it will travel for an hour is calculated through the procedure below.

distance = (7/18hour) x (1 hour)

distance = 7/18

Therefore, after an hour, the ferry will be able to travel 7/18 of the distance between two ports.

Answer:

0.0357

Step-by-step explanation:

Answer:

$87.50

Step-by-step explanation:

you do 12.50(hourly wage) times 7 (the number of hours worked)

Answer:

4

Step-by-step explanation:

2% of 100 is 2 then you do 2x2 for 4

Answer:

$104

Step-by-step explanation:

Compound interest is an interest on an interest. By that I mean you have $8 and 50% interest. 50% of 8 is 4, so 8+4=12. Then add on another 50%, half of 12 is 6. So 12+6 is 18, and so on.

Andrea has $100. 2% interest not compunded.

2% of 100 is 2.

So, 100+2 is 102.

Since it's not compounded, we just add another $2.

100+2+2=$104

Answer:

B.

Step-by-step explanation:

4*s = 4s

4*3 = 12

Use the property of distribution

hope this helps :)

Answer: 4 (s + 3)

Step-by-step explanation:

Answer:

Thx for points

Step-by-step explanation:

Answer:

aukrfgauvkauvbafgvaaw

Step-by-step explanation:

Answer: subtract 10

Step-by-step explanation: 25 - 10 =15

Answer: 1 1/12 feet

Step-by-step explanation: