All categories

3 years ago

28. (-2,-2) perpendicular to -5x + 2 = 3y - 9

1 answer:

4 0

So the gradient is the negative reciprocal of the question so first you have to rearrange the equation into the form y = mx + c so you get 3y = - 5 x + 11 and then y = -5/3 x + 11/3. Now to find the gradient of the line perpendicular to it you do the negative reciprocal and get 3/5 x so now you have the equation y = 3/5 x + c . Now simply substitute your coordinate into the equation to get -2 = 3/5 x -2 + c and 3/5 x -2 is -1.2 so now you have 2 = -1.2 + c so c is 3.2 so your final equation is y = 3/5 x + 3.2 hope this helps :)

You might be interested in

Can someone actually help me please?

Tamiku [17]

D and B is the anwser

5 0

3 years ago

How would you solve this? help.

Eddi Din [679]

Answer:

Center: (3,3)

Radius: $2\sqrt{5}$

Step-by-step explanation:

Midpoint and Distance Between two Points

Given two points A(x1,y1) and B(x2,y2), the midpoint M(xm,ym) between A and B has the following coordinates:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The distance between both points is given by:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Point (5,7) is the center of circle A, and point (1,-1) is the center of the circle B. Given both points belong to circle C, the center of C must be the midpoint from A to B:

$\displaystyle x_m=\frac{5+1}{2}=\frac{6}{2}=3$

$\displaystyle y_m=\frac{7-1}{2}=\frac{6}{2}=3$

Center of circle C: (3,3)

The radius of C is half the distance between A and B:

$d=\sqrt{(1-5)^2+(-1-7)^2}$

$d=\sqrt{16+64}=\sqrt{80}=\sqrt{16*5}=4\sqrt{5}$

The radius of C is d/2:

$r =4\sqrt{5}/2 = 2\sqrt{5}$

Center: (3,3)

Radius: $2\sqrt{5}$

8 0

3 years ago

Use long division to find the quotient below.

lawyer [7]

The answer is c I might be wrong

7 0

3 years ago

Read 2 more answers

X + y = k

Nadusha1986 [10]

We are given with two equations X + y = k and x - y = k. to find the solution of the system of linear equations, we can use elimination by adding the equations to eliminate y. hence the third equation is 2x= 2k ; x = k, hence y is equal to zero. Answer is C

4 0

3 years ago

Read 2 more answers

Given d is the midpoint of ab, e is the midpoint of bc, and ac = 24 units. which of the following statements must be true?

yan [13]

Answer:

Step-by-step explanation:

I am pretty sure but get another answer just to be sure.

7 0

3 years ago