Solve for x. 3.3x = 29.04 es A) 8.0 B) 8.2 . 8.6 D) 8.8

How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Arturiano [62]

Answer:

$y = \frac{2}{3} x + 2$

Step-by-step explanation:

Start by finding the slope of the given line.

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Slope of given line

$= \frac{5 - ( - 1)}{ - 2 - 2}$

$= \frac{5 + 1}{ - 4}$

$= \frac{6}{ - 4}$

$= - \frac{3}{2}$

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

$- \frac{3}{2} m = - 1$

$m = - 1 \div ( - \frac{3}{2} )$

$m = - 1 \times ( - \frac{2}{3} )$

$m = \frac{2}{3}$

$y = \frac{2}{3}x + c$ , where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

$\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}$

Midpoint of given line

$= ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )$

$=( \frac{0}{2} , \frac{4}{2} )$

= (0, 2)

$y = \frac{2}{3} x + c$

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is $y = \frac{2}{3} x + 2$ .

7 0

3 years ago

A cylinder has a radius of 8 cm and a height of 14 cm. What is the volume of the cylinder?

sdas [7]

The volume of a cylinder is represented by the following equation...

V=πr^2 x h

Volume = π(64)(14)

Your volume is 896π

6 0

3 years ago

What is the value of this expression 18+3(10-2)

Alina [70]

Answer:

42

Step-by-step explanation:

First subtract 10 by 2

18+3(8)

Now multiply 3 and 8

18+24

now add 18 and 24

18+24=42

Hope this helps! : )

6 0

3 years ago

Your parents are buying a house for $187,500. They have a good credit rating, are making a 20% down payment, and expect to pay $

NeX [460]

. Let me do my best.
$187,500 is cost of house. 
20%, or $37,500 is the down payment. 
The loan amount would be $187,500 - $37,500 = $150,000. 

If we assume the annual rate of the loan is 4.65% 
Then the monthly rate would be 4.65%/12 = 0.3875% 

If the loan is $150,000, the interest is 0.3875% 
The interst for the first month is $150,000 * 0.3875% = $581.25. 

You stated that their payment is $1,575. 
So the amount that pays off the loan is $1,575 - $581.25 = $993.75. 

At the end of the month, they owe $150,000 - $993.75 = $149,006.25 

For the second month, the amount of the payment that goes towards interst is 
$149,006.25 * 0.3875% = $577.40. and the amount that goes towards the loan is $997.60. 

At the end of the second month they owe $148,008.65. 

Regarding realized income, we recommend a monthly loan payment not to exceed 28% of the monthly income. So if a payment of $1,575 is 28% of Gross, then the math is : $1,575 = 0.28*Gross. 
Gross = $5,625 monthly. 
About $67,500 annually. 
About $33.75 an hour.

7 0

3 years ago

PLEASE ANSWER THE 3 QUESTIONS IN THE PICTURES BELOW

nexus9112 [7]

1)

the answer is C

2)

The answer is B

3)

The answer is D

Hope this helps :)

4 0

4 years ago