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3 years ago

For the linear equation 5x - y = 2, which of the following has a value of 5?

Mathematics

1 answer:

Step2247 [10]3 years ago

8 0

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

$y=mx+q$

In this form, $m$ is the shape and $q$ is the y-intercept. Your line written in this form is

$y=5x-2$

which implies that the slope is 5 and the y-intercept is -2.

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If two cylinders have the same radius, but one has a height two times larger

sweet [91]

The volume of the large cylinder will be twice the volume of the small cylinder.

<u>Step-by-step explanation:</u>

Let the radius of the cylinder be 'r'

Let the height of the cylinder be'h'

Volume of the small cylinder=π r² h

Volume of the large cylinder= π r² (2h)

Volume of large cylinder/volume of small cylinder= 2/1

The large cylinder volume is twice the volume of the small cylinder.

5 0

3 years ago

write a point-slope equation for the line that passes through the point (6,8) and is parallel to the line given by y=-5x+4

VashaNatasha [74]

Answer:

y -8 = -5(x -6)

Step-by-step explanation:

The point-slope form of the equation for a line is generally written ...

y -k = m(x -h)

for slope m and point (h, k).

The slope of your parallel line is the same as the slope of the reference line, -5. So your equation is ...

y -8 = -5(x -6)

3 0

3 years ago

The vertex of the parabola below is at the point (2,4), and the point (3,6) is

lukranit [14]

Answer:

A. y= 2(x - 2)2 + 4

Step-by-step explanation:

vertex having an x value of 2 means the phrase in paren must be x - 2.

This eliminates B and D

vertex having a y value of 4 is of no help as the remaining two equations will result in 4 if the x term is 2

plugging in x = 3 makes y = 6 in equation A, but not in equation C where y = 10

3 0

3 years ago

Find the 45th term of the arithmetic sequence: −9, −2, 5, 12, ...

Nat2105 [25]

You’ll get your answer by adding +7 to each number.

3 0

3 years ago

Read 2 more answers

There is a fire in the third floor of a building, 22 feet above the ground. The fire truck has a 16-foot tall ladder on top, and

Over [174]

Answer: Yes the ladder will reach the fire

Step-by-step explanation: Please refer to the attached diagram for details.

The fire is at point A, while the top of the truck is at point C. The fire is actually burning at 22 feet off the ground, but because the fire truck itself is already 6 feet off the ground, the point that would serve as the base of the building would be 16 feet from the third floor (which is 22 feet minus 6 feet). Hence, point A to point B is 16 feet. So we need to calculate if line AC (from the truck to the fire at the third floor, labeled as b) shall equal the length of the ladder which is 16-foot long.

The angle of the ladder with the top of the truck is 75 degrees. Therefore,

Sin 75 = opposite/hypotenuse

Sin 75 = 16/b

By cross multiplication we now have

b = 16/Sin 75

b = 16/0.9659

b = 16.56

If the distance from A to C is 16.56 feet, then the 16-foot long ladder would reach the fire.

8 0

3 years ago