2x^2 + 10x = 0
we can take out x from both terms and we get:
x(2x + 10) = 0
now either x has to be equal to 0 or 2x + 10 has to be equal to zero in order for equation to be equal to 0.
one solution is x=0 as stated above
other is:
2x + 10 = 0
2x = -10
x = -10/2 = -5
Answers are x=0 and x = -5.
Answer:
15
Step-by-step explanation:
Since a square has 4 sides, that means that each side is equal to the other three sides because it is a square. If so, we do 60/4 to get is 15. To check the answer 15x4 is equal to 60.
Visualize the problem. We will have to use the distance formula:
d = √(x₂ - x₁)² + (y₂ - y₁)²
Let the unknown point be (x,y). The solution is as follows:
Distance between A and the point.
3 = √(4 - x₁)² + (8 - y₁)²
9 = 16 - 8x₁ + x₁² + 64 - 16y₁ + y₁² --> eqn 1
Distance between point and B
1 = √(14 - x₁)² + (10 - y₁)²
1 = 196 - 28x₁ + x₁² + 100 - 20y₁ + y₁² --> eqn 2
Subtract eqn 2 from eqn 1:
8 = -180 + 20x₁ - 36 + 4y₁
8 = -216 + 20x₁ + 4y₁
224 = 20x₁ + 4y₁
56 = 5x₁ + y₁ --> eqn 3
The last equation would be the linear equation using points A and B.
m = (10-8)/(14-4) = 1/5 = (8 - y₁)/(4 - x₁)
4 - x₁ = 5(8 - y₁)
4 - x₁ = 40 - 5y₁
-36 = x₁ - 5y₁ --> eqn 4
Solve equations 3 and 4 simultaneously:
x₁ = 9.38
y₁ = 9.08
<em>Therefore, the closest answer is letter B.</em>
Answer: ↓↓
Step-by-step explanation:
Fred, Ben, and George bought a pizza. George's sister and her friends ate some of the pizza, they left 1/2 of the whole pizza. Fred decided that they should share the remaining pizza equally. How much of the pizza will they each get?
1/2 ÷ 3 = 1/6
The three boys will each get 1/6 of the pizza.
Hope this is good! :3
4w-7k=28
-4w -4w
-7k=-4w + 28
/-7 /-7
k=0.57 + 4