MATHEMATICS HIGH SCHOOL

1. What is the equation of the line that goes through the point and is parallel to the line represented by the equation below?y=-5/6x+3

A. y=-5/6x+4
B. y=-5/6x-6
C. y=-5/6x-4
D. y=-5/6x+6

Which equation produces a line that is perpendicular to the line represented by the function below?
y=2/5x+9

A. 5x+2y=4
B. 2x-5y=8
C. 5x+2y=-3
D.2x+5y=-7

What is the slope of the line that is parallel to the line represented by the equation below?
4x-5y+-1

A 4/5
B -4/5
C 5/4
D -5/4

Answers

Answer 1

Answer:

Answer:

1. Missing the point - unanswerable

2. A and C

3. A

Step-by-step explanation:

Recall the slope of a line is parallel if the same slope and perpendicular if it is the negative reciprocal.

For number 1, each equation has the same slope as the function and will be parallel. Without the point, you cannot determine which one.

For number 2, find an equation that has slope -5/2. Both A and C have this property when converted to slope intercept form.

5x+2y=4 5x+2y = -3

2y=4-5x 2y= -3-5x

y=2-5/2 x y=-3/2 -5/2 x

For number 3, the slope will be the same as the equation for parallel. Convert the equation 4x-5y=-1 to find the slope.

4x-5y=-1

-5y = -1-4x

y=1/5 + 4/5 x

A is the solution.

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The temperature was 3 degrees Celsius it falls by 7 degrees celcuies what temperature is it now?

Answers

Answer:

-4°

Step-by-step explanation:

3-7 = -4

Name the property of real numbers illustrated by the equation.-3(x+4)=-3x-12
A. Distributive Property
B. Associative Property of Addition
C. Associative Property of Multiplication
D. Commutative Property of Addition

Answers

A. Distributive Property

Answer:

A. Distributive Property

Step-by-step explanation:

I'm taking the exam right now. :)

Find the area of each parallelogram.

Answers

Answer:

30 and 21

Step-by-step explanation:

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a radius of 7 inches.two circles touching at one point. Larger circle has radius of 7 inches. Smaller circle has radius of 3 inches.

Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?

Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?

Show all work.

Answers

Let r represent the radius of the smaller circle and R the radius of the larger circle.
Apply ratios: the radius of smaller circle to radius of larger circle, i.e.

r: R = 3 : 7.

I complete rotation = 360 degrees.

Part 1:

For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees

Part 2:
For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios:
The number of rotations = R/r = 7/3 = 2.3 rotations

a total of 300 trees will be planted in a park. there will be 2 pine trees for every 3 maple trees planted plot the poinys that represent the number of pine and mapletrees planted

Answers

If you would like to know how many pine and maple trees will be planted, you can calculate this using the following steps:

2 pine trees + 3 maple trees = 5 trees

300 trees / 5 trees = 300 / 5 = 60

pine trees: 2 * 60 = 120
maple trees: 3 * 60 = 180

The correct result would be 120 pine trees and 180 maple trees.

Answer:

120 pine and 180 maple

Step-by-step explanation:

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