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pickupchik [31]
3 years ago
12

1. Find the slope of the line. 2. Find the rate of change.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:

the slope of the line is 2 over 1 which means the answer is 2

the rate of change is c

To find the slope of the line you have to go rise over run.

to find the rate of change you have to see how much does the numbers in y go by.

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Is a 78 degree angle a right,straight,obtuse or acute angle
aleksley [76]
Acute. 90 degrees is a right angle, 180 degrees is a straight angle, obtuse angles are greater than 90 degrees, while acute are less than 90 degrees.
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3 years ago
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What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?
Marrrta [24]

Answer:

C. (-2,4)

Step-by-step explanation:

We have been given a function f(x)=|x+2|+4 and we are asked to find the vertex of our absolute value function.

The rules for the translation of a function are as follows:  

f|x-h|=\text{Graph shifted to right by h units}

f|x+h|=\text{ Graph shifted to left by h units}

f|x|+h=\text{ Graph shifted upward by h units}

f|x|-h=\text{ Graph shifted down by h units}

Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.

Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

f(x)=|x--2|+4

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.

4 0
3 years ago
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BlackZzzverrR [31]

Answer:

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6 0
3 years ago
How do you solve 32 - 6x = 53?
katrin2010 [14]

\large\boxed{x=-\frac{7}{2}}

To solve for x, we need to isolate it on one side of the equation.

The most important part of this is knowing that whatever we do to one side of the equation, we must also do to the other.

Subtract 32 from both sides of the equation.

\begin{aligned}32-32-6x&=53-32\\-6x&=21\end{aligned}

Divide both sides of the equation by -6.

\begin{aligned}\frac{-6x}{-6}&=\frac{21}{-6}\\x&=\boxed{-\frac{7}{2}}\end{aligned}

7 0
2 years ago
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muminat

Answer:

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Step-by-step explanation:

A ramp is easier for a person to go up or down on because it is just higher sloped ground. For a person with crutches, a ramp does not have any abnormal steps for them to try and get over with one leg.

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3 years ago
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