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scoray [572]
2 years ago
8

Please help i will give brainliest

Mathematics
1 answer:
iragen [17]2 years ago
7 0

Answer:

b. y = x + 4

Step-by-step explanation:

So we know at x = 0, or the middle black line, the red line is touching 4 so y = 4. 4 is the y intercept so the equation should say "+ 4"

Then, we can see that when the red line increases up by 1 value, it also increases 1 value to the right so that would be 1/1 which equals to 1x.

Therefore the correct answer is y = x + 4

Please mark brainliest if this was helpful :)

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Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (2, -1)
jek_recluse [69]

Answer:

The equation of the line is 2x - 3y = 7 ⇒ answer A

Step-by-step explanation:

* Lets revise the relation between the parallel lines

- If two lines are equal then their slopes are equal

- We can make an equation of a line by using its slope and

 a point on the line

- If the slope of the line is m and passing through the point (x1 , y1),

 then we can use this form [y - y1]/[x - x1] = m to find the equation

* Lets solve the problem

- The line is parallel to the line 2x - 3y = 5

∴ the slope of the line = the slope of the line 2x - 3y = 5

- Rearrange the terms of the equation to be in the form

  y = mx + c to find the slope of it

∵ 2x - 3y = 5 ⇒ subtract 2x from both sides

∴ -3y = 5 - 2x ⇒ divide two sides by -3

∴ y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3

∴ The slop of the line is 2/3

∵ The line passes through point (2 , -1)

* Lets use the rule to find the equation of the line

∵ y - (-1)/x - 2 = 2/3

∴ y + 1/x - 2 = 2/3 ⇒ by using cross multiplication

∴ 3(y + 1) = 2(x - 2) ⇒ open the brackets

∴ 3y + 3 = 2x - 4 ⇒ put x an d y in one side

∴ 2x - 3y = 3 + 4

∴ 2x - 3y = 7

* The equation of the line is 2x - 3y = 7

8 0
3 years ago
377. Dawn wants to compare the volume of a basketball with the
olchik [2.2K]

Answer:

V = \frac{4}{3} \pi R^{3} and

v = \frac{4}{3} \pi r^{3}

Step-by-step explanation:

Dawn wants to compare the volume of a basketball with the  volume of a tennis ball.

Now, if the radius of the basketball is R and that of the tennis ball is r, then the formula that can be used to determine the volume of each ball will be

V = \frac{4}{3} \pi R^{3} and

v = \frac{4}{3} \pi r^{3}

Now, dividing V by v we can compare the volume of the basketball and the tennis ball. (Answer)

3 0
3 years ago
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