Answer:
x = 12
Step-by-step explanation:
Answer:
D. (–3, –6) and (5, 10)
Step-by-step explanation:
The system has equations:
...(1)
and
...(2)
Equate both equations;

Rewrite in standard form:

We factor to obtain:

By the zero product principle;


When x=-3, y=2(-3)=-6
This yields the ordered pair (-3,-6).
When x=5, y=2(5)=10
This yields the ordered pair (5,10).
The correct choice is D.
To make the input-output table, we need to plug in the given vaues of x's in the equation to get their corresponding values of y.
Let's plug in x = -2 in y = 6x +5. So,
y = 6( -2) + 5 = -12 + 5 = -7
Similarly for x = 0, y= 6(0) + 5 = 5
For x = 1, y = 6(1) + 5 = 6 + 5 = 11
For x = 4, y = 6(4) + 5 = 24 + 5 = 29
For x= 5, y = 6(5) + 5 = 30 + 5 = 35.
I am attaching the input -output table from the above result.
Hope this helps you!
y = −2x + 1
4x + 2y = −1
Replace Y in the second equation with the value of Y in the first one.
4x + 2(-2x +1) = -1
Distributive Property:
4x + -4x + 2 = -1
Combine like terms:
2 = -1 which is not true, so there are no solutions.
Let x = the length of the triangle's hypotenuse
using proportions, this is what the equation looks like:
cross multiply to get:
divide both sides by 45 to get
x=12