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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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How to set up this problem
HACTEHA [7]

Answer:

The son is five years old

Step-by-step explanation:

Let the son's age be x

A man is five as old as his son, 5x

In five years, he would be three times as old as his son

In five years: son would be x+5

Father 5x+5

3(x+5)=5x+5

3x+15=5x+5

Collect like terms

15-5=5x-3x

10=2x

Divide by 2

10/2=2x/2

x=5

The son is five years old

5 0
3 years ago
factorise the following 1. x²-2x+15.... 2. y²-19y+90​
Marta_Voda [28]

Answer:

1. x²-2x+15

This can't be factored, I've tried multiple ways now, but it just can't be factored.

2. y²-19y+90​

Let's factor y^2−19y+90

y^2−19y+90

The middle number is -19 and the last number is 90.

Factoring means we want something like

(y+_)(y+_)

Which numbers go in the blanks?

We need two numbers that...

   Add together to get -19

   Multiply together to get 90

Can you think of the two numbers?

Try -9 and -10:

   -9+-10 = -19

   -9*-10 = 90

Fill in the blanks in

(y+_)(y+_)

with -9 and -10 to get...

(y-9)(y-10)

Answer:

(y−9) (y−10)

3 0
3 years ago
What is the surface area of a cylinder with base radius 3 and height 6?
Nikolay [14]

Answer:

I think the answer is 169.65

6 0
3 years ago
Read 2 more answers
A grocery store gives a$10 gift card to every 25th customer and a $20 to every 69th customer. Which customer will be the first t
alina1380 [7]

Answer:

First answer:

1725 customer.

Second Answer:

$690

Step-by-step explanation:

What you have to do is find the LCM(Least Common Multiple) of both 25 and 69.

8 0
3 years ago
If the hypotenuse of a right triangle is 10 inches and the side opposite to aq equals 5 inches, what is the measurement of aq ?
amid [387]
I hope this helps you



10^2=|aq|^2+5^2


100-25= |aq|^2


75= |aq|^2


aq= 5 square root of 3



this triangle 30-60-90
5 0
3 years ago
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