The Answer is A because it is proportion to the numbers
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.
In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90
Simplify by dividing the two out.
h^2 + 6h - 45 = 0.
Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.
After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.
In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68
Hope this helps :)
7. Answer: +4, x ≥ 16
<u>Step-by-step explanation:</u>
x - 4 ≥ 12
Add 4 to both sides (to isolate the variable):
x - 4 <u>+ 4</u> ≥ 12 <u>+ 4</u>
x ≥ 16
Graph has a closed dot with an arrow pointing to the right of 16.
16 ·------------→
9. Answer: x ≤ 9
<u>Step-by-step explanation:</u>
x - 20 ≤ -11
Add 20 to both sides of the equation:
x -20 +20 ≤ -11 +20
x ≤ 9
Graph has a closed dot with an arrow pointing to the left of 9.
←----------· 9
Answer:
y=1/3x-3
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
Use the two points: (0,-3) (3,-2)
slope = (-3+2)/(0-3)
slope = -1/-3 = 1/3
y intercept = -3
Equation: y=1/3x-3
Answer:
x = 5
Step-by-step explanation:
GE is the angle bisector of quadrilateral DEFG,
Thus, by angle bisector property:
9x°= (5x + 20)°
9x = 5x + 20
9x - 5x = 20
4x = 20
x = 20/4
x = 5
