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tino4ka555 [31]
2 years ago
11

NEED ASAP:

Mathematics
1 answer:
k0ka [10]2 years ago
7 0

Step-by-step explanation:

the area of this rectangle is

(10 + 2x)(8 + 2x) = 168

80 + 20x + 16x + 4x² = 168

4x² + 36x = 88

because for the whole length you need to add x twice (left and right). the same for the width (top and bottom).

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Plot the vertex, focus, and directrix for the parabola represented by this equation. X=-1/12(y-2)^2+1
alukav5142 [94]

The vertex of the parabola is (1, 2), focus of the parabola is  (-2, 2), and directrix x = 4.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a parabola equation:

\rm x = -\dfrac{1}{12}(y-2)^2+1

The standard form of the parabola:

\rm x = \dfrac{1}{4(f-h)}(y-k)^2+h

(h, k) is the vertex of the parabola and (f, k) is the focus.

\rm x = \dfrac{1}{4(-2-1)}(y-2)^2+1

h = 1, k =2, and f = -2

The directrix is x = 4

Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

5 0
2 years ago
This is the question ​
AnnZ [28]

Answer:

cool question I love it

3 0
3 years ago
Read 2 more answers
which of the following best describes 4^2/3? a. sq root of 16, b. cube root of 4, c. sq root of four, d. cube root of 16
son4ous [18]

Answer: D) cube root of 16

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

Explanation:

The rule we use is

x^{m/n} = \sqrt[n]{x^m}

In this case, x = 4, m = 2 and n = 3.

So,

x^{m/n} = \sqrt[n]{x^m}\\\\\\4^{2/3} = \sqrt[3]{4^2}\\\\\\4^{2/3} = \sqrt[3]{16}\\\\\\

Showing that the original expression turns into the cube root of 16.

4 0
3 years ago
The second step in solving problems using order of operations is solving the
inna [77]
PEMDAS.....parenthesis, exponents, multiplication/division, addition/subtraction

so step 2 is solving the exponents <==
6 0
3 years ago
Read 2 more answers
If h(x) = 2x - 1 and g(x) = 3x + 1, what is (h o g)(2)?
alukav5142 [94]

Answer:

Step-by-step explanation:

g(2) = 3(2) + 1 = 6 + 1 = 7

h(7) = 2(7) - 1 = 14 - 1 = 13

4 0
3 years ago
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