In each case, you can use the second equation to create an expression for y that will substitute into the first equation. Then you can write the result in standard form and use any of several means to find the number of solutions.
System A
x² + (-x/2)² = 17
x² = 17/(5/4) = 13.6
x = ±√13.6 . . . . 2 real solutions
System B
-6x +5 = x² -7x +10
x² -x +5 = 0
The discriminant is ...
D = (-1)²-4(1)(5) = -20 . . . . 0 real solutions
System C
y = 8x +17 = -2x² +9
2x² +8x +8 = 0
2(x+2)² = 0
x = -2 . . . . 1 real solution
Answer:
106 : 84
Step-by-step explanation:
53 : 42 = 106 : 84
The ratio is already in lowest terms so found I an equivalent ratio by multiplying both terms by 2.
A = {0, 1, 2, 3}
C = {0, a, 2, b}
A ∩ C = {0, 2} → E)
A set of the same elements from the set A and the set C.
Answer
A, C, and D
Step-by-step explanation:
You are trying to find the y value in (x,y) form. Therefore, it has to be A, C, and D because they all have a 6 in the y value.
Answer:
13√2
Step-by-step explanation:
The areas of the larger triangle, and the smaller triangle (formed when the larger triangle was cut by the parallel line) are similar. Therefore we can compare their areas:
Area1/Area2 = (Length1)^2/(Length2)^2,
x/2x = (Length1)^2/(26)^2,
1/2 = (Length1)^2/676,
(Length1)^2 = 676/2 = 338
Length1 = √1352 = 13√2
