Does a plane have one dimension, length

Choose the point-stope form of the equation below that represents the line that passes through the point (-1, 6) and has a slope

Keith_Richards [23]

Answer:

y-6 = -3(x+1)

Step-by-step explanation:

The point-slope form of a line is the following:

y-yo = m(x-xo), where 'm' is the slope and (xo, yo) is any point where the line passes through.

In this case, m=-3 and (xo, yo) = (-1, 6).

Therefore: y-yo = m(x-xo) = y-6 = -3(x+1)

In conclusion, the point-slope form of the equation that represents the line that passes through the point (-1, 6) and has a slope of -3 is:

y-6 = -3(x+1)

6 0

3 years ago

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Michael drove 210 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 413 miles?

Mkey [24]

Answer:

210x=3717

x-3717/210

x=7.7 gal1

Step-by-step explanation:

3 0

2 years ago

How many integers satisfy -4 ≤ 2x + 1 ≤ 6?

andrey2020 [161]

I think there are 3 integers!
Hope this Helps!!

7 0

2 years ago

Read 2 more answers

A linear function has a slope of Negative StartFraction 7 Over 9 EndFraction and a y-intercept of 3. How does this function comp

dem82 [27]

It has the same slope and the same y-intercept, that is, option a is the right choice.

A linear function in the slope-intercept is written as y = mx + b, where m represents the slope of the line and b represents the y-intercept.

We are given two linear functions and are asked to compare them.

First linear function:

Slope (m) = -7/9.

y-intercept (b) = 3.

Therefore, the linear function is: y = (-7/9)x + 3.

Second linear function:

Function given: y + 11 = (-7/9)(x - 18)

or, y + 11 = (-7/9)x + (-7/9)(-18)

or, y = (-7/9)x + 14 - 11 = (-7/9)x + 3.

Therefore, slope (m) = (-7/9)

y-intercept (b) = 3.

Therefore, we can say that it has the same slope and the same y-intercept, that is, option a is the right choice.

Learn more about linear functions at

brainly.com/question/15602982

#SPJ10

7 0

1 year ago

A cone has radius 9 and a height 12. A frustum of this cone has height 4.

Anettt [7]

Answer:

Part A)

The lower base has a radius of 9 units, and the upper base has a radius of 6 units.

Part B)

5 units.

Part C)

75π or about 235.62 square units.

Step-by-step explanation:

Please refer to the figure below.

The cone has a radius of 9 units and a total height of 12 units.

A frustum of the cone has a height of 4 units.

Part A)

The lower radius of the frustum will simply be 9 units.

For the upper radius, we will use the properties of similar triangles. We will compare the smaller upper triangle to the overall larger triangle. This yields:

$\displaystyle \frac{12}{8}=\frac{9}{x}$