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borishaifa [10]
3 years ago
15

Given the graph of a line y=−x. Write an equation of a line which is parallel and goes through the point (−8,2)

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

The parallel line would be y = -x - 6

Step-by-step explanation:

In order to find the parallel line, we must first start with the slope. The slope of parallel lines must be equal. The first line has a slope of -1. Using this and the new point in slope intercept form, we can solve for the intercept.

y = mx + b

2 = -1(-8) + b

2 = 8 + b

-6 = b

Now we can model the equation using that slope and the intercept.

y = -x - 6

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Given the equation 5 + x - 14 = x - 7.
Yanka [14]

Answer:

x=0

Step-by-step explanation:

combine like terms on both sides of the equal sign

-9+x= x-7

move similar terms to the same side

-2=0x

divide both sides by x

x=0

7 0
2 years ago
A wire 30 feet long is stretched from the top of a flagpole to the ground at a point 15 feet from the base of the pole. How high
sweet-ann [11.9K]

Answer:

28.3

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the answer. 10^2 + x^2 = 30^2

7 0
3 years ago
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Keisha swims 18 ft from one side of her circular pool to the other, swimming straight through the center. She then swims one tim
elena-s [515]

Answer:

Swimming one time around the pool is 56.5 ft

Step-by-step explanation:

Swimming 18 ft from one side of her circular pool to the other, swimming straight through the center means the circular swimming pool has a diameter of d=18 ft.

The circumference of the circle is calculated using:

c = \pi \: d

where d=18 is the diameter and π=3.14 as given.

We substitute the values to get:

c = 3.14 \times 18

c = 56.52

We approximate to the nearest tenth to get:

c = 56.5ft

6 0
3 years ago
Can someone double check my work for this problem? I got 38°??
scoundrel [369]
We need to use Law of sine.

sin A/a = sin C/c
sin A/|CB| = sin C/|AB|

sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20

A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
4 0
3 years ago
In order to get an A in science, Jack must get at least a 92% on his next test. If test has 30 questions,what is the minimum num
Neko [114]
Jack must score 28 problems correct. To get a 92% he must answer 92% of the 30 questions right. which means 0.92*30=27.6, but it is not possible to score 0.6 of a problem right so you would round to 28, which guarantees Jack scores a 92 because if we round down, Jack would score less than a 92
7 0
3 years ago
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