Solution to the equation-4|-2x+6|=-24

Sorry to be annoying again I just really suck at math and I haven't slept yet

Vesna [10]

Answer:

50.33 mi.

Step-by-step explanation:

GIVEN :-

Coordinates of :-

Home = (0 , 0)
School = (4 , 3)
Pizza place = (-8 , 2)
Movie Theater = (-4 , -6)
Park = (7 , -5)

TO FIND :-

Total distance travelled on Friday & Saturday.

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say there are two points A & B on a cartesian plane whose coordinates are (x₁ , y₁) & (x₂ , y₂).

Distance between A & B = $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

SOLUTION :-

According to question ,

On Friday , you -

leave school and go to pizza palace. Distance travelled from school to pizza palace = $\sqrt{(4 -(-8) )^2 + (3 - 2)^2} = \sqrt{(12)^2 + (1)^2} = \sqrt{145}$ ≈ 12.04 mi.
go to movie theater after pizza palace. Distance travelled from pizza palace to movie theater = $\sqrt{[(-4) -(-8)]^2 + (-6 - 2)^2} = \sqrt{(4)^2 + (-8)^2} = \sqrt{80}= 4\sqrt{5}$ ≈ 8.94 mi.
come back to your home after the movies. Distance travelled from theater to home = $\sqrt{[0-(-4)]^2 + (0 - 6)^2} = \sqrt{(4)^2 + (-6)^2} = \sqrt{52} = 2\sqrt{13}$ ≈ 7.21 mi.

⇒ On Friday , total distance travelled = 12.04 + 8.94 + 7.21 = 28.19 mi.

On Saturday , you -

go to park from your home. Distance travelled from home to park = $\sqrt{(7 -0 )^2 + (-5 - 0)^2} = \sqrt{(7)^2 + (-5)^2} = \sqrt{74}$ ≈ 8.6 mi.
go to school after going to park. Distance travelled from park to school = $\sqrt{(4 -7 )^2 + [3 - (-5)]^2} = \sqrt{(-3)^2 + (8)^2} = \sqrt{73}$ ≈ 8.54 mi.
go to home after playing basketball in school. Distance travelled from school to home = $\sqrt{(0 -4 )^2 + (0 - 3)^2} = \sqrt{(-4)^2 + (-3)^2} = \sqrt{25}$ = 5 mi.

⇒ On Saturday , total distance travelled = 8.6 + 8.54 + 5 = 22.14 mi.

∴ Total distance travelled on Friday & Saturday = 28.19 + 22.14 = 50.33 mi.

3 0

3 years ago

Positive or negative depositing $85 in a bank account.Is that a positive or negative

Novosadov [1.4K]

Negative because you take the money out

7 0

4 years ago

The distance between points (x1, y1) and (x2, y2) is the square root of (x2 - x1)2 + (y2 - y1)2.

dusya [7]

The distance formula as shown below:

4 0

3 years ago

A participant in a medical study walked 10,388 steps per day. If their

JulijaS [17]

Answer:

55.4068881439

Step-by-step explanation:

Lets first find the feet they walk per day, multiply the steps by the feet/step:

$10,388*2.5=25970$

Now lets find the feet/week by multiplying that value by 7:

$25970*7=181790$

Now lets convert the feet to km:

$181790/3281=55.4068881439$

Resulting in approximately 55 kilometers

7 0

2 years ago

A health inspector must visit 44 of 1414 restaurants on monday. in how many ways can she pick a first comma second comma third c

ira [324]

Let's make clear the question, because it may be confusing:
"A health inspector must visit 4 of 14 restaurants on Monday. In how many ways can she pick a first, second, third, and fourth restaurant to visit?"

In order to solve the problem, you need to use permutations: you have 14 possible restaurants to choose as first, the second one will be chosen among the 13 restaurants left, the third one among the remaining 12 and the fourth one will be one of the remaining 11.

Therefore, the total number of possibilities is:
14 × 13 × 12 × 11 = 24024

There are 24024 possible ways to choose the four restaurants to visit.

4 0

3 years ago