Answer:
4 1/4
Step-by-step explanation:
Complementary angles add up to 90 degrees.
Thus if 12q - 9 and 8q + 14 are complementary,
12q - 9 + 8q + 14 = 90.
Combining like terms, we get:
20q + 5 = 90
20q = 85
Thus, q = 85/20, or 17/4, or 4 1/4
Finding the axis of symmetry.
1) Identify a, b, and c in the equation
f(x) = 4x² - 1 ⇒ a = 4 ; b = 0 ; c = -1
g(x) = x² - 8x + 5 ⇒ a = 1 ; b = -8 ; c = 5
h(x) = -3x² - 12x + 1 ⇒ a = -3 ; b = -12 ; c = 1
2) Formula of the axis of symmetry
x = -b/2a
f(x) ⇒ x = -0/2(4) = 0
g(x) ⇒ x = -(-8)/2(1) = 8/2 = 4
h(x) ⇒ x = -(-12)/2(-3) = 12/-6 = -2
Rank from least to greaters: -2, 0, 4 ⇒ h(x) ; f(x) ; g(x) CHOICE D
Answer:
x = -5
Step-by-step explanation:
The equation y = x^2+10x+25 can be factored to (x+5)^2
when (x+5)^2 = 0
x = -5
meaning the equation has a line of symmetry at x = -5
Answer:
Material one (2:25)
Step-by-step explanation:
Given that:
Lycra:Other material
2:25
3:40
Now, change it to the form of 1:n:
2:25 = 1:12.5
3:40 = 1:13.33
Now write proportions for each of them:
1:12.5 = 1/13.5
1:13.33 = 1/14.33
Now compare:
1/13.5 > 1/14.33
Hope this helps good luck