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Sav [38]
3 years ago
14

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2,4)?

Mathematics
1 answer:
pav-90 [236]3 years ago
7 0

Answer:

y=-5/2x-1

Step-by-step explanation:

change the equation to slope intercept form

y=-5/2x+6

graph the point (-2, 4)

use the slope of the equation to find the y intercept

y intercept = -1

write equation of the parallel line using the same slope of the first line

-5/2x

and the y intercept of the new parallel line -1

y=-5/2x-1

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In a random sample of 40 teenagers, 18 enjoy reading for fun, and in a random sample of 40 adults, 12 enjoy reading for fun. Do
Savatey [412]

Answer: Yes. The data provides convincing evidence.

Step-by-step explanation:

In a random sample of 40 teenagers, 18 enjoy reading for fun. The percentage of teenagers who enjoy reading for fun will be:

= 18/40 × 100

= 45%

In a random sample of 40 adults, 12 enjoy reading for fun. The percentage of adults who enjoy will be:

= 12/40 × 100

= 30%

Therefore, the proportion of adults who enjoy reading for fun is less than that of teenagers. Therefore, the data provides convincing evidence.

5 0
3 years ago
Seetha drove to work at 30 miles per hour. How fast would she need to drive home for the average speed for her round trip commut
Sophie [7]

Answer:

40

Step-by-step explanation: Total distance = 60 miles

Total time = 30 / 30 + 30/60 = 3/2

Avg. speed = 40.

8 0
3 years ago
Isolate I for the literal equation V = IR
Anit [1.1K]

In order to isolate any term from an equation we need to clear out any different variable or numbers different from the one we want

V=IR

in this case I is being multiplied by R, so we need to do the opposite which is divide in order to eliminate

V=\frac{IR}{R}

But since this is an equality we must do it on both sides so de equation does not get altered

\frac{V}{R}=\frac{IR}{R}

Then we simplify the equation

I=\frac{V}{R}

3 0
1 year ago
,,,,,,,,,,,,,,,,,i want the answer
marysya [2.9K]

Answer:

120 Degrees

Step-by-step explanation:

As the set up says the two angles (m<A and m<C) are the same so you would simply just divide 240 by 2 (240/2) to find your answer of 120.

3 0
3 years ago
Read 2 more answers
Algebraically find three consecutive positive integers such that the square of the first is equal to the third.
dexar [7]
Your numbers are 2, 3, 4.

The three consecutive numbers are x, x+1, x+2
The square of the first equals the third so x^2=x+2
Solve this quadratic as x^2-x-2=0
Factor into (x+1)(x-2)=0
So your answers are x=-1 and x=2
Since the question says they’re positive integers, use x=2
So the numbers are 2, 3, 4
7 0
3 years ago
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