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lisov135 [29]
3 years ago
13

PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (80pts)

Mathematics
2 answers:
wariber [46]3 years ago
6 0

Answer:

PQ = 20

QR = 15

Step-by-step explanation:

PQ^2 = 16^2 + 12^2

PQ^2 = 400

PQ = √400 = 20

QR^2 = 12^2+9^2

QR^2 = 225

QR = √225 = 15

Firlakuza [10]3 years ago
6 0

HeY TheRe!

PQ = 20 cm

QR = 15 cm

\\

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I just want to know if I’m right
Svetradugi [14.3K]

Answer:

correct

Step-by-step explanation:

supplementary is when 2 angles add up to 180

8 0
3 years ago
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What is the surface area of the triangular prism?
Elanso [62]

Answer:

135 square feet

Step-by-step explanation:

area of base and top=2(1/2×6×2.5)=15 square feet.

area of three faces=(2.5+6+6.5)×8=15×8=120 ft

total surface area=15+120=135 square feet.

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2 years ago
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PLEASE!!! NEED HELP ASAP!!! 50 PTS AND BRAINLIEST!!!
noname [10]

1) Inverse function: f^{-1}(x)=g(x)=\frac{x+4}{3}

2) f(1) = -1, g(-1) = 1

3) f(g(x))=g(f(x))=x

Step-by-step explanation:

1)

In this first method, we want to find the inverse function of f(x).

The original function is:

f(x) = 3x-4

We rewrite it as

y=3x-4

We swap the name of the variables:

x=3y-4

Adding +4 on both sides:

x+4=3y-4+4\\x+4=3y

And dividing by 3 on both sides:

y=\frac{x+4}{3}

which is identical to g(x):

g(x)=\frac{x+4}{3}

2)

In this second method, we want to use the output of one function as input to the other function, and show that the output value is equal to the imput value.

We start using the function

f(x)=3x-4

We choose x=1. We find:

f(1)=3(1)-4=3-4=-1

Now we use this output value as input in the function

g(x)=\frac{x+4}{3}

Substituting x=-1,

g(-1)=\frac{-1+4}{3}=\frac{3}{3}=1

So, the final output value (1) is equal to the input value (1).

3)

Here we want to verify that the two are inverse functions by showing that

f(g(x))=x

We have

f(x)=3x-4\\g(x)=\frac{x+4}{3}

Substituting g(x) into f(x),

f(g(x))=3g(x)-4 = 3(\frac{x+4}{3})-4=(x+4)-4=x

Viceversa, we want to show that

g(f(x))=x

Substituting g(x) into f(x), we get

g(f(x))=\frac{f(x)+4}{3}=\frac{(3x-4)+4}{3}=\frac{3x-4+4}{3}=\frac{3x}{3}=x

So, the two functions are one the inverse of the other.

Learn more about inverse functions:

brainly.com/question/1632445

brainly.com/question/2456302

brainly.com/question/3225044

#LearnwithBrainly

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3 years ago
(HELP) A Boeing 747 airplane carries approximately 467 passengers. How many trips would it take the airplane to transport 100,00
Finger [1]
215. If you divide 100,000 by 467 you get 214.132. Since you can’t have .132 of a person you need to round up to 215
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2 years ago
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Leonardo da vinci's mona lisa is 21 inches wide and 30.25 inches tall. what is the area of the painting in square centimeters?
VMariaS [17]
1 inch =2.5cm
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width = 21×2.5=52.5cm
area of painting = 75.625×52.5=3970.3125cm²
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3 years ago
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