Answer: Choice C) no solution
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Explanation:
The first equation says that y and 3x-4 are the same thing.
So we can replace every copy of "y" in the second equation with "3x-4" like so
9x - 3y = 14
9x - 3(3x-4) = 14
9x - 9x + 12 = 14
0x + 12 = 14
0 + 12 = 14
12 = 14
The last equation is false because we get different values on either side. Because the last equation is false, it means the equation 9x-3y = 14 is false when y = 3x-4.
In short, the overall systems of equations is inconsistent and that leads to no solution (choice C).
If you were to graph each equation, you should find that both lines are parallel. Parallel lines never intersect. The solution is the intersection point of any graphed system.
Answer:
0.5 i think
Step-by-step explanation:
Sounds as tho' you have an isosceles triangle (a triangle with 2 equal sides). If this triangle is also a right triangle (with one 90-degree angle), then the side lengths MUST satisfy the Pythagorean Theorem.
Let's see whether they do.
8^2 + 8^2 = 11^2 ???
64 + 64 = 121? NO. This is not a right triangle.
If you really do have 2 sides that are both of length 8, and you really do have a right triangle, then:
8^2 + 8^2 = d^2, where d=hypotenuse. Then 64+64 = d^2, and
d = sqrt(128) = sqrt(8*16) = 4sqrt(8) = 4*2*sqrt(2) = 8sqrt(2) = 11.3.
11 is close to 11.3, but still, this triangle cannot really have 2 sides of length 8 and one side of length 11.
The answer would be A) The product of a constant factor of four and a factor with the sum of two terms.
The expression 4(y + 6) is the product of two factors: 4 and (y + 6).
4 is a constant factor; the value will remain as 4 regardless of the y value.
The second factor, (y + 6), represents a sum of two terms: y and 6.
Therefore, A is the correct answer.
Answer:
x^2(x-4) + 3(x-4)
(x^2 + 3)(x-4)
Step-by-step explanation:
