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Maksim231197 [3]
3 years ago
10

Write the equation in slope-intercept form of a line that has a slope of - and passes through the point (-6,0).

Mathematics
1 answer:
Archy [21]3 years ago
6 0

Answer:

y - 0 = -(x + 6)

y = x - 6

answer is a

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A car approaches a stop sign going 10 m/s before coming to a stop. If it takes 5 seconds to
Levart [38]

Answer:

The acceleration is: a = -2 m/s²

The negative sign indicates that velocity is decreasing with time.

Step-by-step explanation:

Given

  • Initial velocity u = 10 m/s
  • Final velocity v = 0
  • Time taken t = 5 seconds

To determine

Acceleration a = ?

Using the formula to determine the acceleration

a = (v - u) / t

substituting u = 10 m/s, v = 0 and t = 5

a = (0 - 10) / 5

a = -10 / 5

a = -2 m/s²

Thus,

The acceleration is: a = -2 m/s²

The negative sign indicates that velocity is decreasing with time.

4 0
3 years ago
A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans
malfutka [58]

Answer:

Part A)  Is a directly proportional

Part B) The constant of proportionality is k=0.25

Part C) The equation is y=0.25x

Part D) 62.5  acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k

Let

x-----> the number of acres of corn

y---->  the number of acres of soybeans

so

y/x=k  

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

y/x=k

k=50/200

k=0.25

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

y/x=k

we have

k=0.25

substitute

y/x=0.25

y=0.25x

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

y=0.25(250)=62.5 -----> acres of soybeans

7 0
3 years ago
Mr. Mendoza invests in five stocks. The table shows the growth in stock prices in dollars at the end of a trading day.
Morgarella [4.7K]

Answer:

The correct answer is C, as growth on stock E is bigger from the growth of stock B

Step-by-step explanation:

In order to resolve this problem, we must have in mind that the negative numbers are smaller when they are more distant from 0, and that positive numbers are bigger when they are more distant from 0. So, the biggest number of growth is the one that is more distant from 0.

The correct answer is C, as growth on stock E is bigger from the growth of stock B.

8 0
3 years ago
Read 2 more answers
What is -3x-32=-2(5-4x)
san4es73 [151]

Answer:

x=−2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3x−32=−2(5−4x)

−3x+−32=(−2)(5)+(−2)(−4x)(Distribute)

−3x+−32=−10+8x

−3x−32=8x−10

Step 2: Subtract 8x from both sides.

−3x−32−8x=8x−10−8x

−11x−32=−10

Step 3: Add 32 to both sides.

−11x−32+32=−10+32

−11x=22

Step 4: Divide both sides by -11.

−11x

−11

=

22

−11

5 0
3 years ago
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What is the period of a wave if the wavelength is 100 m and the speed is 200 m/s?
Iteru [2.4K]
It is A because I did 100 times 200 and I got 200,000
5 0
3 years ago
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