THE vertices of ABC are A(-2,2,B(6,2,and c(0,8). The perimeter of ABC is

1 answer:

4 0

Using the distance formula:

AB^2 = (-2-6)^2 = (2-2)^2
      = 64
    AB = 8 units
BC^2 = (6-0)^2 + (2-8)^2
      = 36 + 36
= 72
BC = 6 root 2
AC^2 = (-2-0)^2 + (2-8)^2
= 4 + 36
= 40
AC = 2 root 10

Perimeter = 8 + 6 root 2 + 2 root 10
   = 2 (4 + 3 root 2 + root 10) units

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A group of four people share 1/2 pound of almond how many pounds of almonds does each person gets choose any Quetion you can use

sergij07 [2.7K]

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1/8 a pound of almond milk per person

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3 years ago

A canoe rental shop is being built near a river. An equation of the line representing the river is y=14x+8. Each unit in the coo

julsineya [31]

Answer:

412.3 feet

Step-by-step explanation:

A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).

Solution:

The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.

Given a point ( $x_1,y_1$ ) and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:

$d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }$

Given the equation of the line y = 1/4 x + 8

y - 1/4 x - 8 = 0

Therefore A = -1/4, B = 1 and C = -8

The point is (-3,3), therefore $x_1=-3,y_1=3$

$d=\frac{|-1/4(-3)+(1*3)+(-8)|}{\sqrt{(-1/4)^2+1^2} }\\\\d=4.123\ unit\\\\but\ 1\ unit=100\ feet\\\\ d=4.123\ unit*1\ feet=412.3\ feet$

8 0

3 years ago

Read 2 more answers

4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play

ioda

$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales