Question 10
10 pts
Miguel wants to repair his home. He places a 17-foot ladder against the side of the house 8feet
from the base of the house. What is the height of Miguel's home, x, from the ground to the top of
the ladder at the roof, to the nearest tenth of a foot?

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Sides of similar figures are proportional, so ...

  AB/FE = BC/EC

  x/6 = 10/5

  x = 6·(10/5) . . . multiply by 6

  x = 12

Answer:

y = 2x + 2

Hope you have a great day!

[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ Inverse \ of \ the \ given \ function \ is \ x^2+2x-4 .}}}[/tex]

A function is given to us , and we need to find its inverse. So the function is ,

[tex]\bf\implies f(x) = \sqrt{x + 5 } - 1 [/tex]

So , firstly replace x with y in the given function and then solve for y to get its inverse . Taking the given function ,

[tex]\bf \implies f(x) = \sqrt{x+5}-1\\\\\bf\implies y = \sqrt{x+5}-1 \\\\\bf\implies x = \sqrt{y+5}-1 \:\:\bigg\lgroup \red{\sf Replacing \ x \ with \ y .} \bigg\rgroup \\\\\bf\implies x + 1 = \sqrt{y+5}\\\\\bf\implies y+5 = (x+1)^2 \\\\\bf\implies y+5 = x^2+1 +2x \\\\\bf\implies y = x^2+1-5+2x \\\\\bf\implies y = x^2-4+2x \\\\\bf\implies \boxed{\red{\bf f^{-1}(x)= x^2+2x - 4 }}[/tex]

Here I have also attached the graph of , x² + 2x - 4 and √(x+5) - 1. Here blue graph is of √(x+5) - 1 & red of x²+2x-4.

what is the answer to 26=t-19 ?

Answer:

t = 45, okay

Step-by-step explanation:

=》t - 19 = 26

=》t = 26 + 19 ( by adding 19 on both sides )

=》t = 45

Answer:

(x-y)/z

Step-by-step explanation:

Answer:

It would be the 1st answer, y= 3/2x + 2.

Step-by-step explanation:

The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps

Answer:

i think its 75

Step-by-step explanation:

bend your head to the right and compare to a 90 degree square

it's acute

Answer: 75°

Step-by-step explanation:

m∠BGC + m∠AGB + m∠AGE = 180°

m∠BGC + 31 + 74 = 180°

m∠BGC + 105 = 180°

m∠BGC = 75°

Answer:

7/12 revolutions per second

The wheel makes revolutions per second is 7/12.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a wheel makes 35 revolutions per min.

Here,

35/1 minute × 1 minute/60 seconds

= 35/60

= 7/12 revolution per second

Therefore, the wheel makes revolutions per second is 7/12.

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Answer:

101.5 m

Step-by-step explanation:

What you have to do is 50.2 + 15.6 which equals 65.8, and then you add another 35.7 and the answer would be 101.5 m

Let Width (inches)  = X

Let Length (inches) = 3x + 2

40 = (x) + (3x + 2) + (x) + (3x +2)

40 = 8x + 4

-4           -4

36 = 8x

/8     /8

4.5 = x (width)

Length = 3x + 2

length = 3(4.5) + 2

length = 13.5 + 2

length = 15.5 inches

CHECK

40 = 15.5 + 4.5 + 15.5 + 4.5

40 = 20 + 20

40 = 40

Answer:

Step-by-step explanation: if he puts 3 drops in a 12 ounce glass of water he should be using 4 ounces per drop 12 ounces divided by 3 drops gives you 4 ounces per drop

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

Explanation:

"Per drop" means "per 1 drop" or "for each 1 drop".

We start off with the ratio of

3 drops: 12 ounces

Divide both parts of that ratio by 3 so that "3 drops" turns into "1 drop"

Doing so gets us the new ratio of

1 drop: 4 ounces

So he uses 4 ounces per drop.

Answer:

30

Step-by-step explanation:

5*2*3-2*0 ( when we multiply any number with zero then the result is also zero)

30-0

30

Answer:

It is a proportional relationship

Step-by-step explanation:

Here, we want to know if the relationship is proportional or not

Looking at the table, we can see that every value of x multiplied by 4 will

give y

In simpler terms;

y = 4x

Hence, we have established that there is a proportional relationship between the x and y values

Answer:

25 x

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

The total number of  text messages he received for two days is  10y+20t

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Mario received y text messages each minute for 10 minutes yesterday and received t text messages each minute for 20 minutes today.

Number of  text messages for yesterday = 10y

Number of  text messages for today = 20t

Total = 10y+20t

Hence, The total number of  text messages he received for two days is  10y+20t

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Answer:

.....

..

Step-by-step explanation:

umm.

ok free points if

Answer:

Step-by-step explanation:

The degrees of the terms in the order given are 2, 4, 1, 3, 0. The second-highest of these numbers is 3, and the corresponding term is ...

 B: -g^3

(3g+5)(2g-7)

(3g+5)(2g-7)=6g²-21g+10g-35 = 6g²-11g-35

Answer:

32

Step-by-step explanation:

3 x 8 = 24, 24 + 8 = 32

Answer: y = 91

Step-by-step explanation:

y = -7(-13)

y = -7 x -13

y = 91

Answer: 17x+5

Combine 10x to the 9x which would be 19x then subtract the 2x which gives you 17x+5

Answer: 17x+5

Step-by-step explanation:

10x+5-2x+9x

10x-2x+9x+5

17x+5

Answer:

Vertical compression

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Answer:

b. 40m+0.25=25m+0.45

Step-by-step explanation:

Step one:

given data

First Rate Rental

Charges $40 a day plus $0.25 per mile.

let the number of days be m

and the total charges be y

y= 40+0.25m---------------------1

Star Rental

charges $25 a  day plus $0.45 per mile.

y= 25+0.45m-----------------------2

Step two:

equate 1 and 2 above we have

40+0.25m= 25+0.45m