Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Hey!
So you have a net of the figure. It's broken into several 2D shapes. What you an do it find the area of each shape and add it together.
Triangles:
A = (b*h)/2
A= (5 * 3) / 2
A = 15/2
same thing for the second one
15/2 * 2 = 15
Don't forget, there are 2 triangles so it's really 15 for both
Rectangles:
A=b*h
A= 7*5
A=35
A=7*5
A=35
A=3*7
A=21
35+35+21=91
Now add the sum of the area of the triangles and the sum of the area of the rectangles
91+15 = 106
106 is the surface area
Hope this helps!
Answer:
10x^3 + 6x^2 + 5x + 3
Step-by-step explanation:
F(x)=(5x+3)(2x^2+1)
= 5x*2x^2 + 5x*1 + 3*2x^2 + 3*1
= 10x^3 + 5x + 6x^2 + 3
= 10x^3 + 6x^2 + 5x + 3
Answer:
x ≈ 42.5
Step-by-step explanation:
We use tan∅ to solve this:
tanx° = 11/12
x° = 
x = 42.5104°
Answer:
4
Step-by-step explanation:
hi! let's divide -24 and -6 to simplify this. this is the same answer as 24/6 since two negatives that are divided by each other equal a positive number, and 24 divided by 6 is 4, so the answer is 4.
