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2 years ago

Find the midpoint of the line segment with end coordinates of:(-4,-2) and (-2, -10)

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

6 0

Step-by-step explanation:

let the midpoint be (x,y) so

(x,y)= (-4-2/2, -2-10/2)

= (-3 -6)

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A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models

polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

$x_2$ is the second point in the function

$x_1$ is the first point in the function

$f(x_2)$ is the function evaluated at the second point

$f(x_1)$ is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so $x_1=1$ and $x_2=10$ . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

$Av=\frac{150-[69]}{9}$

$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

$Av=9$

Since $f(x)$ represents the number of pounds per acre and $x$ the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

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3 years ago

Two blocks are initially at rest with a compressed spring between them. When the spring is released, the 2m block moves to the l

choli [55]

The statement that best describes the blocks after the spring is released is the total momentum is zero.

<h3 /><h3>Law of conservation of momentum</h3>

From the law of conservation of momentum, the initial momentum of the system, M equals the final momentum of the system M'

M = M'

<h3>Momentum of blocks</h3>

Now, since both blocks are initially at rest, the initial momentum M = 0.

Since the initial momentum equals the final momentum after the blocks are released,

M = M' = 0

So, the total momentum after the blocks are released is zero.

So, the statement that best describes the blocks after the spring is released is the total momentum is zero.

Learn more about total momentum here:

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1 year ago

What’s the measure of POQ?

slava [35]

Answer: 70 degrees 35 times 2

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2 years ago

Evaluate. 33 + 11 - 10 ÷ 2 × 4 w = a0

Veronika [31]

Answer:

Step-by-step explanation:

33 + 11 - 10 ÷ 2 × 4

Division is first.

33 + 11 - 5 × 4

Multiplication.

33 + 11 - 20

Add or subtract.

44 - 20

= 24

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2 years ago

Triangle ABC has vertices A(1,4), B(-1,5), and C(1,-4). Triangle ABC is dilated and

Dovator [93]

Answer:

-12

Step-by-step explanation:

The coordinates of B' are just 3 times the coordinates of B, so the multiplier in the dilation is 3.

C' is the point with coordinates 3 times the coordinates of C, making C'(3, -12).

The y-coordinate is -12.

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2 years ago

Find the midpoint of the line segment with end coordinates of:(-4,-2) and (-2, -10)​

Find the midpoint of the line segment with end coordinates of:(-4,-2) and (-2, -10)