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2 years ago

What is the slope of the line that passes through the points (-4, 6) and (2, 4)?

Mathematics

2 answers:

Tpy6a [65]2 years ago

6 0

Your answer will be a

joja [24]2 years ago

3 0

That would be the difference in y values / corresponding difference in x values
= (4 - 6) / (2 - - 4)
= -2 / 6
= -1/3

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Part B

Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is $4.6\ miles$

Part B) The length of a straight line between the school and the hospital is $2.1\ miles$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and C(4.3,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(4.3)^{2}}$

$d=4.6\ miles$

Part B) we have that

The hospital is 3.1 miles west of the fire station

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and D(1.2,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(1.2)^{2}}$

$d=2.1\ miles$

7 0

2 years ago

Ronald finished his daily jog and wants a drink. In his refrigerator there are 2 cans of energy drink, 9 cans of soda, and 11 bo

Yuliya22 [10]

Answer:

P(water)=11/22=1/2

Step-by-step explanation:

The number of bottles with water is 11

The total number of bottles is 11 +9+2=22

Sothe probability that Ronald chooses a bottle of water is

P(water) =N(water)/N(total)=11/22=1/2

4 0

2 years ago

Each day Julian gives his dog, Banjo, 3 liters of water and 500 grams of food. Julian wants to track the total amount of the foo

Masteriza [31]

Answer:

The correct answer would be option C.

Step-by-step explanation:

Since he gives the dog 3 liters of water and 500 grams of food a day we know that on the fifth day the dog will have gotten 15 liters of water and 2,500 grams of food.

4 0

2 years ago

Read 2 more answers

F is between e and g, EF=7 and FG=6. find EG

irina [24]

------- (EF)
------ (FG)
------ + ------- =
6 + 7 =
13

7 0

2 years ago

What inverse operation is used to solve the equation 2x=10

Jlenok [28]

It’s c multiply by 2 on both sides

5 0

2 years ago

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