Answer:
4x^2 + 8x - 20
Step-by-step explanation:
Amir subtracted a quantity
Let quantity = y
... from the polynomial 3x^2+8x−16
y - (3x^2+8x−16)
and produced the expression x^2−4
= x^2−4
What quantity did Amir subtract?
y - (3x^2+8x−16) = x^2−4
Solving for y;
y = x^2−4 + (3x^2+8x−16)
y = x^2−4 + 3x^2+8x−16
y = 4x^2 + 8x - 20
Answer:
-3
Step-by-step explanation:
The product (the result of a multiplication) of 4 and a number. Let x be the unknown number:
4 · x = 4x
Plus 17:
4x + 17
Is 5:
4x + 17 = 5
Solve:
4x = 5 - 17
4x = -12
x = -12 ÷ 4
x = -3
In this question, AE is the length of half of one diagonal in the rectangle. DB is the length of the other diagonal. 2(4x-12) would be the total length of the other diagonal, AC. You can set 2(4x-12) equal to 7x-18 and solve for x.
2(4x-12)=7x-18
8x-24=7x-18
x-24=-18
x=6
Answer:
339.3 mi^2
Step-by-step explanation:
The formula for the surface area of a cylinder: 2pi*rh + 2pi*r^2
substitute the radius and height into this formula, and remember that radius is half of the diameter.
Answer:
1. Yes
2. They could change the 60° angle into a different one.
Step-by-step explanation:
1. Two triangles are the same if they share two side lengths with the same angle between them.
2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.