Answer:
- 19. y = x + 1
- 20. y = -2/3x - 5
- 21. y = -1/2x + 7
- 22. y = 4x - 3
Step-by-step explanation:
19. Passing through (2, 3) and PARALLEL to y = x - 4
<u>Parallel lines have equal slopes:</u>
<u>Use given point to find b:</u>
<u>The line is:</u>
20. Passing through (-6, -1) and PARALLEL 2x + 3y = 3
<u>Rewrite in the slope-intercept form:</u>
- 2x + 3y = 3
- 3y = -2x + 3
- y = -2/3x + 1
<u>The line have same slope:</u>
- y = -2/3x + b
- -1 = -2/3(-6) + b
- -1 = 4 + b
- b = - 5
<u>The line is:</u>
21. Passing through (-2, 8) and PERPENDICULAR to y = 2x + 5
Perpendicular lines have negative-reciprocal slopes
<u>The line has the form:</u>
Find the y-intercept:
- 8 = -1/2*(-2) + b
- 8 = 1 + b
- b = 7
<u>The line is:</u>
22. Passing through (-2, -11) and PERPENDICULAR to x + 4y = 8
Perpendicular lines have negative-reciprocal slopes
<u>Rewrite in slope-intercept form:</u>
- x + 4y = 8
- 4y = -x + 8
- y = -1/4x + 2
<u>The line has the form:</u>
<u>Find y-intercept:</u>
- -11 = 4(-2) + b
- -11 = -8 + b
- b = -3
<u>The line is:</u>
Answer:
jus draw a m-f trapizod from googl-e
Step-by-step explanation:
3 - 2a > 7
We need to solve for a
First, let's subtract 3 on both sides to have the variables on a side and the numbers on another side:
3 - 2a > 7
3 - 2a - 3 > 7 - 3
- 2a > 4
Let's divide both sides by -2 to have a on side and its value on the other side:
-2a > 4
(-2a)/(-2) > (4/-2)
a < -2 (In a case of an inequality, we change the sign when we divide by a negative number to its opposite).
So 3 - 2a > 7 when a < -2 (answer c)
Hope this helps! :D
Answer:
7
Step-by-step explanation:
if the number is x then you know 2x-9=5
2x=14
x=7
so the number is 7