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3 years ago

What is the equation of the line that is perpendicular to the

Mathematics

1 answer:

Bas_tet [7]3 years ago

7 0

Answer:

y=3x-5

Step-by-step explanation:

If the new line is perpendicular to the original line, they the slope for the new line should be the reciprocal and opposite of the original line. Since the original line's slope is -1/3, the slope of the new line is 3, which is the coefficient in the new equation representing the new line. Then, you create an equation to solve for "b" in the equation y=mx+b where "b" is the y-intercept. You plug in 3 for x, 4 for y, and 3 for m (you know that 3 is x and 4 is y because it says that the line must past (3,4). So the equation to solve for b should be "4=3(3)+b". Then for b you should get -5.

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ZanzabumX [31]

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4 years ago

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2 years ago

A group of 13 people are going out on a lake. Five of them will fit on one sailboat, and the rest

gulaghasi [49]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Decide if the function is an exponential function. If it is, state the initial value and the base. (5 points)

Irina18 [472]

Answer:

Exponential Function; base = 7; initial value = - 9.3

Step-by-step explanation:

Base is a number/value which has a variable exponent;

Initial value is the value of a function (i.e. y) when the independent variable, i.e. x, is equal to 0.

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3 years ago

Find the volume. 74yd 54yd 84yd 103yd

ahrayia [7]

The volume of the figure in the attachment is 84 cubic yards

<h3>What is the volume of a figure?</h3>

The volume of a figure or a three-dimensional shape is the amount of space inside the figure or the three-dimensional shape

<h3>How to determine the total volume?</h3>

The complete question is added as an attachment.

From the attached figure, we can see that the three-dimensional shape is a frustum

The volume is then calculated using the following formula

V = 1/2 * (Sum of the parallel bases) * height * side length

From the figure, we have:

Parallel bases = 2 yards and 6 yards

Height = 3.5 yards

Side length = 6 yards

Substitute the known values in the above equation

V = 1/2 * (2 + 6) * 3.5 * 6

Evaluate the product in the above equation

V = 1/2 * (2 + 6) * 21

Evaluate the sum in the above equation

V = 1/2 * 8 * 21

Evaluate the product in the above equation

V = 1/2 * 168

Evaluate the product in the above equation

V = 84

Hence, the volume of the figure in the attachment is 84 cubic yards