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denis-greek [22]
2 years ago
14

Step by step explanation

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
8 0

Answer:

only a is the right triangle

Step-by-step explanation:

only a is the right triangle because it satisfies the pythagorean theorem.

a.)

c ^{2}  = a ^{2}  + b ^{2}  \\ 63 = 25 + 38\\ 63 = 63 \\ true

while b,

b.)

c ^{2}  = a ^{2}  + b ^{2}  \\ 60 = 25 + 38 \\ 60 = 63 \\ false

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Marat540 [252]
187/9= 20.7
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Which of the following statement(s) describes the rate of change of f over the interval 1.5 ≤ x ≤ 3? Select all that apply.
Vesnalui [34]

2 Answers: Choice B and Choice C

The rate of change is 2.

The rate of change is constant.

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

Explanation:

The first point on the left is when x = 1.5 and it has a height of y = 1

The point (1.5, 1) is on the line.

So is the point (3,4) for similar reasoning.

Compute the slope between those points

m = (y2-y1)/(x2-x1)

m = (4-1)/(3-1.5)

m = 3/(1.5)

m = 2

The slope is 2, which is the same as saying the rate of change is 2. This only applies when x > 1 of which the interval 1.5 ≤ x ≤ 3  is a part of.

Since the slope stays at 2 on the interval 1.5 ≤ x ≤ 3, this means we consider the slope to be constant. If the curve bended at all on this interval, then it wouldn't be a constant slope.

6 0
2 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
dalvyx [7]

Matching each equation of the plecewise function represented in the graph will be:

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<h3>How to illustrate the information?</h3>

It should be noted that a domain simply means the set of inputs that are accepted by the function.

In this case, the equation of the piecewise function represented is given.

The graph is attached.

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a_sh-v [17]

We have been given the function

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We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.

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Now, we simplify this step by step.

First of all 3^4=81\text{ and }3^2=9. Thus, we have

f(3)=2\times 81 -8\times 9+5(3)-7

Now, we can easily simplify it by PEMDAS

f(3)=162-72+15-7

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