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finlep [7]
2 years ago
15

Points S, L, and P on this grid represent the locations of the school, the library, and the park

Mathematics
1 answer:
Vlad [161]2 years ago
4 0

The distance, in units, from the school to the library and then the distance from the library to the park is 15 units.

<h3>What is the length of any line on the graph?</h3>

The distance or length of any line on the graph,

D = √{(x₂ - x₁)² + (y₂ - y₁)²}

where,

d = distance/length of the line between point 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

The distance from school to the library is SL, therefore,

\rm SL = \sqrt{(4-0)^2 + (1-4)^2} = 5\ units

The distance from library to the park is LP, therefore,

\rm LP = \sqrt{(-4-4)^2 + (-5-1)^2} = 10\ units

Now, the distance, in units, from the school to the library and then the distance from the library to the park is 15 units (10 units + 5 units).

Learn more about the Length of the line:

brainly.com/question/16904935

#SPJ1

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Step-by-step explanation:

The first one

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2 years ago
Average of 2721 2557 2999 2278 4339
victus00 [196]

Answer:

Step-by-step explanation:

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7 0
3 years ago
Chase has 3 gallons of a solution that is 30% antifeeze that he wants to use to winterize his car. How much pure antifreeze shou
makvit [3.9K]

Let  x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.

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3 gallons - 100%,

a gallons - 30%,

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\dfrac{3}{a}=\dfrac{100}{30},\\ \\a=\dfrac{3\cdot 30}{100}=0.9\ gallons.

Now in new solution there will be x+0.9 gallons of pure antefreeze.

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\dfrac{x+3}{x+0.9}=\dfrac{100}{65},\\ \\65(x+3)=100(x+0.9),\\ \\65x+195=100x+90,\\ \\35x=105,\\ \\x=3\ gallons.

Answer: he should add 3 gallons of pure antifreeze.

8 0
3 years ago
Which best explains how you know that P(2, 7) is on the same line as Q(7, 4) and R(12, 1)?
Helen [10]

Answer:

See explanation below

Step-by-step explanation:

The best explanation is noticing that in order to get from the point R (12, 1) to the point Q (7, 4) we move 5 units to the left and 3 units up. And to go from point Q (7, 4) to point P (2, 7) we do exactly the same: move 5 units to the left and 3 units up. That means that these points are all connected via the same rate of change:  - 3/5, which is in fact the slope of the line the three points belong to.

4 0
3 years ago
HELP PLEASE 80 POINTS
alexgriva [62]

Answer:

  • x = 15/p
  • x = -3

Step-by-step explanation:

<h3>Given</h3>
  • 4(px + 1)=64
<h3>Find</h3>
  • Solve for x
  • Find x when p = -5
<h3>Solution</h3>
  • 4(px + 1) = 64
  • 4(px + 1)/4 = 64/4
  • px + 1 = 16
  • px = 15
  • x = 15/p

<u>When p = -5, substitute p:</u>

  • x = 15/p
  • x = 15/(-5) = -3
4 0
3 years ago
Read 2 more answers
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