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2 years ago

Find the area of this shape

Mathematics

1 answer:

cestrela7 [59]2 years ago

6 0

Answer:

28ft^2

Step-by-step explanation:

you only need 2 things to find the area of the triangle, base and height. The formula for finding the area is 1/2(base x height)

if we plug the numbers we are given into the formula we find

1/2(7x8)

1/2(56)

we find that the area of this triangle is 28ft^2

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State of the given functions are inverses

bonufazy [111]

Answer:

1) They are not inverses

2) They are inverses

Step-by-step explanation:

We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.

1)

Let's find f[g(x)] and simplify.

$f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}$

$f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}$

$f[g(x)]=\frac{7}{2}-\frac{3}{4}x$

As f[g(x)] is not equal to x, these functions are not inverses.

Let's find f[g(x)] and simplify.

$f[g(n)]=\frac{-16+(4n+16)}{4}$

$f[g(n)]=\frac{-16+4n+16}{4}$

$f[g(n)]=\frac{4n}{4}$

$f[g(n)]=n$

Now, we need to find the other composition function g[f(x)]

Let's find g[f(x)] and simplify.

$g[f(x)]=4(\frac{-16+n}{4})+16$

$g[f(x)]=-16+n+16$

$g[f(x)]=n$

Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.

I hope it helps you!

3 0

2 years ago

3x+1=8x-24 helpppppppp

Irina18 [472]

3x+1 =8x -24

3x -8x +1 = -24

-5x +1 = -24

-5x = -24 -1

-5x = -25

x = -25/-5 = 5

x = 5

4 0

3 years ago

Read 2 more answers

What is the greatest common factor of 3a^2+30a

Lisa [10]

Answer:

Step-by-step explanation:

3 is a prime number so other than 3x1 3 does not have any other factors

6 0

3 years ago

The distance between the points (12,9) and (0,4) is A) 14 units B) 13 units C) 15 units D) 16 units

Juliette [100K]

Answer:

Option B 13 units is correct.

Step-by-step explanation:

The formula used to find distance between 2 points is:

$d(P1,P2)=\sqrt{(x_{2} -x_{1})^2 + (y_{2} -y_{1})^2 }$

x₁ = 12 x₂ = 0 y₁= 9 and y₂=4

Putting values in the formula:

$=\sqrt{(0-12)^2+(4-9)^2}\\=\sqrt{(-12)^2+(-5)^2}\\=\sqrt{144+25} \\=\sqrt{169} \\=13$

So, Option B 13 units is correct.

6 0

2 years ago

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Doyle Company issued $500,000 of 10-year, 7 percent bonds on January 1, 2018. The bonds were issued at face value. Interest is p

mezya [45]

Answer:

Step-by-step explanation:

6 0

2 years ago