Answer:
No
Step-by-step explanation:
Substitute the coordinates of the point into the left side of the inequality, evaluate and compare.
4(- 4) + 5(2) = - 16 + 10 = - 6 > - 7
Thus (- 4, 2 ) is not a solution
Answer:
y = -2x + 1.
Step-by-step explanation:
2y = x - 1
y = 1/2y - 1/2
If line X is perpendicular to line Y (the line where y = 1/2y - 1/2), the slope will be the negative reciprocal of line Y. That means that there will be a negative sign instead of positive, and the 1/2 will be flipped to become 2/1, which is 2.
So, the slope will be -2.
We now have y = -2x + c.
To find c, simply put in -1 for x and 3 for y.
3 = -2 * -1 + c
c + 2 * 1 = 3
c + 2 = 3
c = 1
So, the equation of the line is y = -2x + 1.
Hope this helps!
Answer:
x=10
Step-by-step explanation:
3(4x-12) = 84
Divide each side by 3
3/3(4x-12) = 84/3
4x-12 =28
Add 12 to each side
4x-12+12 = 28+12
4x= 40
Divide each side by 4
4x/4 = 40/4
x = 10
Answer:
n = 9
Step-by-step explanation:
Step 1: Write equation
-4(9n + 9) = -12(4n - 6)
Step 2: Solve for <em>n</em>
<u>Distribute:</u> -36n - 36 = -48n + 72
<u>Add 48n to both sides:</u> 12n - 36 = 72
<u>Add 36 to both sides:</u> 12n = 108
<u>Divide both sides by 12:</u> n = 9
Step 3: Check
<em>Plug in n to verify if it's a solution.</em>
-4(9(9) + 9) = -12(4(9) - 6)
-4(81 + 9) = -12(36 - 6)
-4(90) = -12(30)
-360 = -360
Answer:
is 21
Step-by-step explanation:
becuase 7-6 (the lCM) is 1 and 20 + 1 = 21
