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3 years ago

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4 times the measure of the complement of an angle is equal to / the measure of the original angle's supplement. What is the meas

ure of the angle? 18° 48° 72° 108°

1 answer:

WINSTONCH [101]3 years ago

6 0

72 degrees if its 2/3

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Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163

larisa86 [58]

To solve this we are going to use the average rate of change formula: $A(x)= \frac{f(b)-f(a)}{b-a}$
where
$A(x)$ is the average rate of change of the function
$f(a)$ is the position function evaluated at $a$
$f(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so $a=3$ and $b=6$ . Lets replace those values in our formula:
$A(x)= \frac{f(b)-f(a)}{b-a}$
$A(x)= \frac{f(6)-f(3)}{6-3}$
$A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}$
$A(x)= \frac{-32-(-8)}{3}$
$A(x)= \frac{-32+8}{3}$
$A(x)= \frac{-24}{3}$
$A(x)=-8$

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>

3 0

3 years ago

Read 2 more answers

GIVING BRAINIEST!!!!!!!!

Sav [38]

Answer:

look at the horizontal line in the picture. the degree measure of any line is 180° given there's a perpendicular ray through that horizontal line it's therfore split into two sides both with angle measure of 90°.

given f is 71° then g can be found knowing that both g and f must add to 90°. 71+g=90. g=19°

now look at f again. f and d are what's known as vertical angles and that means that they're angle measures are congruent. therfore the measure of d is 71° d=71°

Finally to find e we notice that angle d and e form a straight line which means both angles measures must add to 180°. therefore e can be found by computing d+e=180

aunaitituitmg our information we know 71+e=180 then e must equal 109° e=109°

3 0

3 years ago

On a coordinate plane, 2 cube root functions are shown. Function f (x) goes through (negative 3, negative 1.5), has an inflectio

Strike441 [17]

Using translation concepts, it is found that the equation that represents the graph of g(x) is:

$g(x) = \sqrt[3]{x + 2}$ .

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

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:

$f(x) = \sqrt[3]{x}$

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

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

5 0

2 years ago

Brainly please show steps

Alex Ar [27]

Answer:

47.145

Step-by-step explanation:

formula for total surface area of a cylinder is 2×3.143×radius

7 0

2 years ago

What is the sum of (1.3 × 10-7) and (-3.8 × 10-3)?

SVETLANKA909090 [29]

b. -2.5 × 10-4 is the answer

3 0

3 years ago