Answer:
70
Step-by-step explanation:
so divide 350 into 5 groups, which equals 70.
70*5 is 350, so we didn't make a mistake.
It says 1/5, so the answer is 70.
If it was 2/5, we do 70*2 which equals 140.
Is the expansion of a Binomial Square . Perfect Square Trinomials have first and last terms that are positive perfect squares.
Given A = {1, 3, 5}, B = {2, 4, 6} and C={1, 2, 3, 4, 5, 6}, then A ∪ (B ∩ C)
Serggg [28]
B ∩ C is an intersection, which means only values that are present in both B and C are picked. So...
B ∩ C = {2, 4, 6}
A ∪ (B ∩ C) is a union, which means you combine all values, but discard duplicates. So...
A ∪ (B ∩ C) = {1, 2, 3, 4, 5, 6}
Answer:
x = 11
Step-by-step explanation:
Lines are parallel. 5x + 10 and 10x + 5 are supplements of each other.
Move 5x+ 10 to the corresponding position on the figure. It will be next to 10x + 5 and form a linear pair with 10x + 5. A linear pair form a straight angle or two supplementary angles. Supplementary angles = 180°
Therefore 5x +10 + 10x + 5 = 180°
15x + 15 = 180°
15x = 180 - 15
15x = 165
x = 11
Answer:
y = (x - 10)^2 / 100 + 1
Step-by-step explanation:
given:
A suspension footbridge has two 2-meter vertical supports 20 meters apart so the cable connecting 'em will be a convex parabola
The lowest point of the cable, which is the vertex, 1 meter above the path.
y-axis represents the left support and the other vertical support is at x=20
by symmetry, the vertex is mid-pt between the two supports, @ x=20/2=10
so vertex is at (10,1)
vertex form of parabola is y = a(x - h)^2 + k, where (h, k) is the vertex
so y = a(x-10)^2 + 1
at y-axis, x=0, y=2
2 = a(0-10)^2 + 1
2 - 1 = 100a
a = 1/100
so the eqn is y = (x - 10)^2 / 100 + 1
