x=3
multiply 2 to both sides to cancel denominator
subtract 8x from both sides and then divide by 2
Step-by-step explanation:
The solutions are 2 and 5
Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:
x^2 = 7x - 10
Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.
x^2 + 10 = 7x
Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.
x^2 - 7x + 10 = 0
Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.
(x - 2)(x - 5) = 0
You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.
x - 2 = 0
x = 2
One of the solutions is 2, because you add 2 to x to get 0.
x - 5 = 0
x = 5
The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.
2^2 = 7(2) - 10
4 = 14 - 10
So 2 is definitely a solution.
5^2 = 7(5) - 10
25 = 35 - 10
5 is also a solution.
Hope that helps :]
Answer:
y = (x-3)^2 -16
Step-by-step explanation:
y = x^2 -6x-7
We need to complete the square
b= -6
b/2 = -6/2 = -3
(b/2) ^2 = (-3)^2 =9
Add 9 then subtract 9 to balance the equation
y = x^2 -6x +9 -9 -7
y = (x^2 -6x+9) -16
The terms in parentheses is (x-b/2)^2
y = (x-3)^2 -16
This is in vertex form
The vertex is (3,-16)
Answer:
Dividing the number of balloon animal per the time he takes to make them you get an average of how many animals per minute Fred the clown can make.20/15=1,3 animals per minuteSince 0,3 is not a complete animal, the correct answer would be "Fred the clown can make 1 animal in 1 minute
Answer:
All you have to do is graph both the linear functions on a calculator or on paper and the point where both lines intersect is the solution. So that means if it intersects at a point, your solution would be a coordinate.
