Two lines are perpendicular if the product of their slopes is -1. The slope of the line in the picture is $7\over 6$ , so we should find a line with slope of $-6\over 7$ .

Note that the slope of the line in the last option is $-7\over 6$ .

4 0

2 years ago

PLEASE HELP I've tried everything 30 points!

Luda [366]

Answer:

(x+2)1x-8)=0

x=-2 or x=8

Step-by-step explanation:

The given quadratic expression is

$2 {x}^{2} - 12x - 32$

We equate this expression to zero to get:

$2 {x}^{2} - 12x - 32 = 0$

Let us divide through by 2 to get:

${x}^{2} - 6x - 16 = 0$

Split the middle term to get:

${x}^{2} - 8x + 2x - 16 = 0$

Factor

${x}(x - 8) + 2(x - 8) = 0$

Factor further to get

$(x - 8)(x + 2) = 0$

The solution are

$x = - 2 \: and \: x = 8$

7 0

2 years ago

500th term of 24,31,38,45,52

tensa zangetsu [6.8K]

This looks like a simple arithmetic series. Each term is 7 greater than the previous term.

Therefore, the Nth term is 17 + 7N.

For example, the first term is 17 + 7*1 = 17 + 7 = 24.

The second term is 17 + 7*2 = 17 + 14 = 31

etc...

And the 500th term is 17 + 7 * 500 = 17 + 3500 = 3517

3 0

3 years ago

Very very very long essay on the topic of mom​

Very very very long essay on the topic of mom