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Rasek [7]
2 years ago
9

Find the missing dimension of the triangle. 1.5 in. base Area = 2 in. squared h = ? in.

Mathematics
1 answer:
Feliz [49]2 years ago
3 0

Answer:

Fraction form:

h = 4/1.5 in

Decimal form:

2.667 in

Step-by-step explanation:

I've attached my work

The formula use is usually use to find the area of a triangle but allowed us to work backward after inputing given values

Hope it helps, Let me know if yoy have any more questions/concerns !

Have a nice rest of your day :)

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Danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with Danika? Explain
arsen [322]
We cannot agree with Danika. Why? Well, The reasoning is given as follows:

Two functions are inverses of each other if and only if it is true that the composition function is given by:

f(g(x))=x

Everything is ok up to this point, right?. But let's prove that this is not fulfilled for these functions, then:

f(x)=\left | x \right | \\ \\ g(x)=-x \\ \\ f(g(x))=\left| -x \right |=\left | -1 \right | \left | x \right |=\left | x \right |  \\ \\ \therefore f(g(x))=\left | x \right | \neq x
<span>
As you can see we did not obtain the function that matches the definition of </span>inverse functions. For that reason <em>we can't agree with Danika</em>.
5 0
3 years ago
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Which point is an x-intercept of the quadratic function f(x)=(x-4)(x+2)
Mademuasel [1]

Answer:

x = - 2 or x = 4

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

The x- intercepts are at x = - 2, x = 4

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Step-by-step explanation:

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maks197457 [2]

Answer:

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Simplify and express the result in power notation with positive exponent
Molodets [167]

Answer:

3²

Step-by-step explanation:

Given expression:

\sf (3^{-3} \div 3^{-10}) \times 3^{-5}

Following the <u>order of operations</u>, carry out the calculations inside the parentheses first.

\textsf{Apply the quotient exponent rule} \quad a^b \div a^c=a^{b-c}:

\implies \sf 3^{-3-(-10)} \times 3^{-5}

\implies \sf 3^{-3+10} \times 3^{-5}

\implies \sf 3^{7} \times 3^{-5}

\textsf{Apply the product exponent rule} \quad a^b \times a^c=a^{b+c}:

\sf \implies 3^{7+(-5)}

\sf \implies 3^{7-5}

\sf \implies 3^2

Learn more about exponent rules here:

brainly.com/question/27959936

brainly.com/question/24947526

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