I'd Point A is located at (9,2) on a coordinate plane and point B is located at (-9,10), what is the distance between the two points?

(This is a little difficult but I've got it)

((x - 45)/12) + 20 = 5(32 - x)

(I made the equation a little more complex than I should have but that equation should still work if you were to solve for x)

Hey there!!

Let's get this step by step

x is decreased by 45 = x - 45

Result is divided by 12 = ( x - 45 ) / 12

Then, 20 is added to the result

[ ( x - 45 ) / 12 ] + 20

Result =

Five times the difference of 32 and x = 5 ( 32 - x )

Hence, the equation

[ ( x - 45 ) / 12 ] + 20 = 5 ( 32 - x )

( x - 195 ) / 12 = 160 - 5x

Multiply 12 on both sides

x - 195 = 12 ( 160 - 5x )

x - 195 = 1920 - 60x

Add 60x on both sides and add 195 on both sides

61x = 2115

divide by 61 on both sides

x = 34.67

x = 34.7

Hence, the required answer is 34.7 this can be rounded to 35

Hope my answer helps!

Answer:

C. ++ ++ ++ ++

Step-by-step explanation:

Note that the numbers are positive 4 & positive 2 (which explains the + signs).

The answer can be two ways. 4 groups of 2, or 2 groups of 4.

C. ++ ++ ++ ++ is your answer, for it is 4 groups of 2. Note that A is not the answer, for that would be for adding, in which you have one group of 4 and one group of 2.

~

Answer:

c

Step-by-step explanation:

im smart

For 1 and 2, you plot both lines, and wherever they intersect is the solution to the system. Given the equation of a line, I think the easiest way to plot it is to find two points on the line, then draw a line through them. For example, if , then when , you get ; when , you get . So plot the points (0, -1) and (1, 4), then strike a line through.

1. Notice that dividing both sides of by 2 returns , same as the first equation. So the system of equations reduces to one equation, which can have an infinite number of solutions. (This is because for any choice of or , you can always find a corresponding value for the other variable.)

2. See attached image. is given by the purple line.

For 3-6, you have several options. The two simplest methods of solving them are by substitution or elimination.

3. Like with (1), notice that dividing both sides of the first equation by 2 gives , so there will be an infinite number of solutions.

4. (by substitution) Since , we can replace in the second equation:

but this is false, so there are no solutions to this system.

5. (by substitution) Since , in the first equation we have

Then back in the second equation we find

So (-4, -3) is the only solution here.

6. (by substitution) Notice that the left hand sides of both equations are the same, so we end up with 7 = 12, but this is false, so no solution exists.