The solutions to system of equations are the point of intersection of the graphs of the equations.
The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) is not a solution to the system of equation.
Hi there there's several ways this could be proven one way us to consider the allied angle theory where two angles formed between parallel lines are supplementary which in this case can be proven by
2(45)+90=180⁰ ✔
or 3(45)+45=180⁰✔
this would not be the case if it wasn't parallel
Consequently, you can also use the alternate angle theory where you essentially extend one of the lines and you'll see two equal alternate angles
Answer:
(-4x - 2)(-5x) + (-4x - 2)(3)
Step-by-step explanation:
Your polynomial is
(-4x - 2)(-5x + 3)
The distributive property states that
a(b + c) = ab + ac
Let a = -4x - 2. Then
(-4x - 2)(-5x + 3) = a(5x + 3) = a(-5x) + a(3)
Substitute the value of a.
a(-5x) + a(3) = (-4x - 2)(-5x) + (-4x - 2)(3)
You have just distributed the first binomial (-4x - 2) among the terms of the second binomial.
250 = 167.93 + x
[She needs $250, she has $167.93, and she needs x more. x represents the amount of money she still needs in order to get 250]
250 = 167.93 + x Subtract 167.93 on both sides
250 - 167.93 = 167.93 + x - 167.93
250 - 167.93 = x
82.07 = x
She needs $82.07 more
Or you could have done:
250 - 167.93 = 82.07
Answer:
5/4
Step-by-step explanation:
If the equation is

then the slope is the number multiplying x, so
slope = 5/4.