Answer:
y = -1/8 x² + 5
Step-by-step explanation:
Parabola opens vertically and vertex (h,k) = (0,5), pass point (4,3)
basic formula: y = a(x - h)² + k
y = a (x-0)² + 5
y = ax² + 5 pass (4,3)
3 = 16a + 5
a = (3-5)/16 = -1/8
equation: y = -1/8 x² + 5
check: pass another point (-4,3)
-1/8 * (-4)² + 5 = -2 + 5 = 3
Answer:
1/5 or 0.2
Step-by-step explanation:
-5(p+3/5)=-4
Let's convert 3/5 to decimal form:
-5(p+0.6)=-4
Expand parentheses:
-5p-3=-4
Add -3 to both sides:
-5p=-1
Divide both sides by -5:
p=1/5 or 0.2
Hope this helps!
Answer:
∠ GDH = 67.5°
Step-by-step explanation:
The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
∠ GDH = 
(GH + EF) = (90 + 45)° = 0.5 × 135° = 67.5°
You can either do this on the calculator, or in your head. As its a larger number, it is worth doing it on the calculator.
413/14= 29.5
The alternative method is to list all of the tens multiples, and the smaller multiples when you're getting close to the answer, and this will be able to help you.
14x10= 140
14x20=280
14x30= 420 (which is slightly too big)
14x29= 406 (slightly too small)
14x29.5= 413
Hope this helps :)
Answer:
a ∥ b
Step-by-step explanation:
The symbol "∥" means parallel lines.
Taking a look at the figure above, we have 2 parallel lines, labelled a and b.
A and B are two points on line "a", forming segment AB. However, segment AB is part of line "a".
Same applies to line "b", which has 2 points forming segment CD.
Therefore, the correct label if the parallel lines is a ∥ b
