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3 years ago

The table shows the values of a function f(x).

Mathematics

1 answer:

ANTONII [103]3 years ago

7 0

Answer:

-5

Step-by-step explanation:

To find the average rate of change, take the point on either end of the table (-2,25) and (3,0). Find the difference in y values and the difference in x values. Write it as a fraction vertical over horizontal.

(25 - 0) = 25

-2 - 3 = -5

25/-5 = -5

The average rate of change is -5.

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Help ASAP with these

Fittoniya [83]

Answer:

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.

Step-by-step explanation:

Given:

AD ≅ BC and AD || BC

To Prove:

ABCD is a Parallelogram

Proof:

Alternate Interior Angles Theorem :

"When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Here AD || BC and the transversal is AC

Statement Reasons

1. AD ≅ BC . 1. Given

2. AD || BC 2. Given

3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.

4 0

3 years ago

An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a

chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0

3 years ago

What is the value of the function at x = 3?<br><br> Enter your answer in the box.

butalik [34]

Answer:

Step-by-step explanation:

Recall a linear function, is a line on a graph made up of an infinite amount of points which satisfy the relationship. That means at x=3 there is a specific point on the line with an output. The value of a function at x=3 asks, what is the output y value for the input x value?

To find it, we locate 3 on the x-axis. We draw a vertical line directly to the line following the grid line. We mark the point on the line. We then draw a horizontal line directly to the y-axis following the grid line. The point we hit on the y-axis is the value of the function.

Here it is 4.

3 0

3 years ago

solve for x. if anyone could explain how exactly I solve this question, it would be greatly appreciated!!! thank you

Gennadij [26K]

Answer:x=29

Step-by-step explanation:

You want to add all the like terms together so in this case 2x and x

29,30,20,8

3x=87

Divide 3 by both sides

X=29

5 0

3 years ago

Two non-common sides of adjacent supplementary angles form a _____ angle.

mel-nik [20]

Answer:

C. straight

Step-by-step explanation:

A Linear Pair is two adjacent angles whose non-common sides form opposite rays.

If two angles form a linear pair, the angles are supplementary.

A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.

In the figure given in attachment, AB and BC are two non common sides of ∠ABD and ∠DBC.

∠1 and ∠2 form a linear pair.

The line through points A, B and C is a straight line.

∠1 and ∠2 are supplementary.

Thus two non-common sides of adjacent supplementary angles form a <u>straight</u> angle.

8 0

2 years ago