Need whole page 20 points worth

laiz [17]

Answer:

44x +56y = 95

Step-by-step explanation:

To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.

The midpoint is the average of the coordinate values:

((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)

The differences of the coordinates are ...

(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)

Then the perpendicular bisector equation can be written ...

Δx(x -h) +Δy(y -k) = 0

5.5(x -0.25) +7(y -1.5) = 0

5.5x -1.375 +7y -10.5 = 0

Multiplying by 8 and subtracting the constant, we get ...

44x +56y = 95 . . . . equation of the perpendicular bisector

8 0

3 years ago

Ten times the sum of half a number and 6 is 8

Nookie1986 [14]

10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4

8 0

4 years ago

How would you express the area of the rectangle using the Distributive Property?

Vsevolod [243]

Answer:

C. 3(x+5)

Step-by-step explanation:

hope this helps

3 0

3 years ago

Edwin and Anthony are building a rectangular deck in their backyard.The Longer side is 2 more than 1/3 the perimeter. The shorte

vlada-n [284]

Answer: The perimeter is 30ft.

Step-by-step explanation:

Let's define:

L = length of the longer side.

S = length of the shorter side.

P = perimeter

we know that for a common rectangle:

P = 2*S + 2*L

We aso know that:

L = 2ft + (1/3)*P

S = (1/10)*P

L = S + 9ft.

So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)

First, we can replace the third equation in the first equation, now we have a system with only two equations:

S + 9ft = 2ft + (1/3)*P

S = P/10

Now we can replace the second equation in the first equation, and get:

P/10 + 9ft = 2ft + P/3

Now let's solve this for P.

9ft - 2 ft = P/3 - P/10

7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)

(30/7)*7ft = P = 30ft.

The perimeter is 30ft.

5 0

3 years ago

Solve the question on the picture if it is wrong

romanna [79]

Given:

Cost of 1 digital song = $1.05

Cost of 2 digital song = $2.10

Cost of 5 digital song = $5.25

To find:

The equation and the cost of 25 downloaded digital songs.

Solution:

Let us take two points (1, 1.05) and (2, 2.10).

Here $x_1=1, y_1=1.05, x_2=2, y_2=2.10$

Slope:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{2.10-1.05}{2-1}$

m = 1.05

Using point-slope formula:

$y-y_1=m(x-x_1)$

$y-1.05=1.05(x-1)$

$y-1.05=1.05x-1.05$

Add 1.05 on both sides, we get

$y=1.05x$

Here x is the independent variable and c is the dependent variable.

So that substitute x = n and y = c.

$c=1.05n$

The equation is c = 1.05 n.

Substitute n = 25 in the equation.

$c=1.05(25)$

$c=26.25$

The cost of 25 songs is $26.25.

8 0

3 years ago