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3 years ago

The diagram shows a wedge in the shape of a prism.

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

3 0

To 3 significant figures:
19.3 cm

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PLATO USERS!

Maurinko [17]

Answer:

see below

Step-by-step explanation:

cos(420°) = cos 60 = 1/2

sin(450°) = sin 90 = 1

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3 years ago

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Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.

Ann [662]

Given:

Consider the given function is:

$f(x)=x^2-8x+13$

To find:

The average rate of change of the function over the interval $-1\leq x\leq 6$ .

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

$m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

We have,

$f(x)=x^2-8x+13$

At $x=-1$ ,

$f(-1)=(-1)^2-8(-1)+13$

$f(-1)=1+8+13$

$f(-1)=22$

At $x=6$ ,

$f(6)=(6)^2-8(6)+13$

$f(6)=36-48+13$

$f(6)=1$

Now, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is:

$m=\dfrac{f(6)-f(-1)}{6-(-1)}$

$m=\dfrac{1-22}{7}$

$m=\dfrac{-21}{7}$

$m=-3$

Therefore, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is -3.

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3 years ago

Factor the given quadratic function x2 + 9x = 36.

Gennadij [26K]

Answer:

(x + 12)(x - 3)

Step-by-step explanation:

${x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0$

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3 years ago

Explain what x^(2/3) means using radicals and integer exponents.

Evgesh-ka [11]

The cube root of x^2.

If you look at a regular square root of a number, that would be the same as x^(1/2) See the pattern?

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3 years ago

HELP PLS WILL MARK BRAINLY!!!!

Ber [7]

I’m most sure that the answer is A.

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3 years ago

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