We know that :

From the figure, We can notice that :
↔ Opposite side of Angle Q is 9 units
↔ Hypotenuse is 15 units


Answer:
y=1/2x+6
Step-by-step explanation:
Change to slope intercept form: y=1/2x-2
Take out the b term
Plug in point (-8, 2)
Get b as 6
Plug in b
Get y=1/2x+6
Answer:
Step-by-step explanation:
Compound inequality has been given as,
12(2x - 10) + 24 ≥ 48 Or 6x + 15 - 9x ≥ 6
By simplifying it further,
12(2x - 10) + 24 ≥ 48

(2x - 10) + 2 ≥ 4
(2x - 10) + 2 - 2 ≥ 4 - 2
2x - 10 ≥ 2
2x - 10 + 10 ≥ 2 + 10
2x ≥ 12

x ≥ 6
6x + 15 - 9x ≥ 6
(6x - 9x) + 15 ≥ 6
(-3x) + 15 ≥ 6
-3x + 15 - 15 ≥ 6 - 15
-3x ≥ -9
3x ≤ 9
x ≤ 3
We have to plot the inequality on a number line
x ≥ 6 Or x ≤ 3
Y intercept is -6
Y= 5x^2-X-6
Y= 5(0)^2-0-6
Y= 0-0-6
As we know
area of triangle = 1/2 *height*base
32=1/2*8*base
32=4*base
8 =base