What is the slope of the line that is perpendicular to the line y=1

1 answer:

5 0

Using the slope-intercept form, the slope is 12 1 2 . m=12 m = 1 2.
m=12.
The equation of a perpendicular line to y=x2−6 y = x 2 - 6 must have a slope that is the negative reciprocal of the original slope.

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a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12

TiliK225 [7]

Answer:

The water level is dropping at a rate of 0.24 ft/s

Step-by-step explanation:

Here, we simply want to calculate the change in depth (height of the cone) , given the volume change

Mathematically, we have the volume of a cone as;

V = 1/3 * π * r^2 * h

we are given dv/dt as 12 ft^3/m

dv/dh = 1/3 * π * r^2

Substituting the value for the radius, we have

dv/dh = 1/3 * 22/7 * 4^2 = 50.29

dh/dt = dh/dv * dv/dt

dh/dv = 1/(dv/dh) = 1/50.29

Thus,

dh/dt = 1/50.29 * 12

dh/dt = 0.24 ft/s

3 0

3 years ago

Which number line correctly shows 4. 5 + 2. 5? A number line going from 0 to 4. 5 in increments of 0. 5. An arrow goes from 0 to

sesenic [268]

So none of the options is actually correct from the given operation of:

4.5 + 2.5

This actually would be represented with a line that goes from 0 to 4.5, and then from 4.5 to 7.

The number line should start at 0 and then move to the first number (because of the commutative property of the sum, it can move to any one of the two numbers).

Once there, it moves accordingly to the other number.

So it moves first from 0 to 4.5, then the second number is 2.5, then it moves another 2.5 units to the right until the:

4.5 + 2.5 = 7

Concluding, it moves from 0 to 4.5, then from 4.5 to 7.

Notice that none of the options represent this, this may be because the sign of one of the two numbers is incorrect or something like that.

For example, if we had the operation:

4.5 - 2.5

Then the line starts at 0 and then goes to 4.5, then moves left 2.5 units to 4.5 - 2.5 = 2

In this case, the correct option should be:

"An arrow goes from 0 to 4. 5 and then backwards from 4. 5 to 2."

If you want to learn more about number lines, you can read:

brainly.com/question/13189025