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egoroff_w [7]
3 years ago
9

The equation of line AB is y = 5x + 1. Write an equation of a line parallel to line AB in slope-intercept form that contains poi

nt (4, 5).
y = 5x − 15

y = 5x + 15

y = 1 over 5x + 21 over 5

y = 1 over 5x − 29 over 5
Mathematics
2 answers:
Andreas93 [3]3 years ago
8 0
Y = 5x + 1...the slope here is 5...a parallel line will have the same slope.

y = mx + b
slope(m) = 5
(4,5)...x = 4 and y = 5
now we sub and solve for b, the y int
5 = 5(4) + b
5 = 20 + b
5 - 20 = b
-15 = b
so ur parallel equation is : y = 5x - 15

dezoksy [38]3 years ago
5 0
The equation of the line y = 5x + 1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).

y - 5 = 5(x-4)
y = 5x - 20 + 5
y = 5x -15

Therefore, the correct answer is the first option.
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Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of​ time, the first p
Usimov [2.4K]

Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

==============================================================

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles

6 0
3 years ago
Emerson struck out 112 times in 350 at bats complete the proportion to represent the percent of strike outs per at bats
Mrac [35]

Answer:

Percent of strike outs per-bat = 32%

Step-by-step explanation:

Given:

Number of balls strike out = 112

Total number of ball played = 350

Find:

Percent of strike outs per-bat

Computation:

Percent of strike outs per-bat = [112/350]100

Percent of strike outs per-bat = [0.32]100

Percent of strike outs per-bat = 32%

3 0
2 years ago
Lupe has 14 stickers that she wants to give to 2 friends.
Olegator [25]
A. You would divide it between the two
4 0
2 years ago
The amount of chlorine in a swimming pool varies directly with the volume of water. the pool has 2.5 milligrams of chlorine per
djverab [1.8K]

Answer:

Find out the  how much chlorine is in the pool .

To prove

As given

The amount of chlorine in a swimming pool varies directly with the volume of water.

The pool has 2.5 milligrams of chlorine per liter of water.

i.e

2.5 milligrams of chorine = 1 litre of water

There are 8000 gallons of water in the swimming pool.

As 1 gallons = 3.78541 litre (Approx)

Now convert 8000 gallons of water in litres.

8000 gallons = 8000 × 3.78541 litre

                      = 30283.28 litres

Now calculate chlorine in the pool for 30283.28 litres  of waters.

As

2.5 milligrams of chlorine = 1 litre of water

2.5 × 30283.28 milligrams of chlorine = 30283.28 litre of water

75708.2 milligrams of chlorine for 30283.28 litre of water .





3 0
2 years ago
Read 2 more answers
Carol is cross country skiing the table shows the distance traveled after various numbers of minutes what is the rate of change
MatroZZZ [7]

Answer:

Option D 3/16

Step-by-step explanation:

Carol is cross-country skiing.

With the help of the given table we have to calculate the rate of change.

If we draw a graph for distance traveled on y-axis and tins at x-axis we find two points, ( 2, 1/6) and (3, 17/48).

Then slope of the line connecting these points will be the rate of change.

8 0
3 years ago
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