Answer:
The answer is 9.
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
Area of a parallelogram = base times height
Given area = 40
Given height = 4
Given = x + 6
Thus,
40 = 4 * (6 + x )
Step 1 distribute the 4
4 * 6 = 24
4 * x = 4x
we now have 40 = 24 + 4x
step 2 subtract 24 from each side
40 - 24 = 16
24 - 24 cancels out
now we have 16 = 4x
step 3 divide each side by 4
4x / 4 = x
16 / 4 = 4
we're left with x = 4
To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.
(x + 6) * 4
* substitute 4 for x *
(4 + 6) * 4
4 + 6 = 10
10 * 4 = 40
40 = 40
Hence x = 4
the slope of the line is y = -1/2x -2
<3
<span>an equation for the line in point-slope form and general form is :
y = ax+b a : </span>slope ; the <span>Passing through (x' ; y')
</span>y' = ax'+b
y-y' =a(x-x') and : x' =-5 y' =6
calculate a :
let : y = ax+b .....(D)
....<span>y=7x-1...</span>.(D')
.(D) perpendicular to(D') : slope (D) × slope (D') = -1
slope (D') = 7
slop(D)×(7 = -1
slope (D) = -1/7
equation for the line : y-y' =a(x-x')
y-6 =(-1/7) (x+5)
Just trying to get points hope you find the answer