Answer:
Step-by-step explanation:
If 3⁄4 gallons of water come out of a hose in 15 minutes, to calculate the rate of water that comes out in an hour (60 minutes), we will use the expression;
3/4 gallons = 15 minutes
x gallons = 60minutes
cross multiply
15x = 3/4 * 60
15x = 180/4
15x = 45
x = 45/15
x = 3/1
x = 3:1
Hence the water rate in gallons per hour is 3 gallons per hour
Answer:
y = (x + 9)² + 9
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
given a parabola in standard form : ax² + bx + c : a ≠ 0
the the x-coordinate of the vertex is
= - 
y = x² + 18x + 90 is in standard form
with a = 1, b= 18 and c = 90
= - 
= - 9
to find the corresponding y-coordinate substitute x = - 9 into the equation
y = (- 9)² + 18(- 9) + 90 = 81 - 162 + 90 = 9
⇒ y = (x + 9)² + 9 ← in vertex form
Answer:
C
Step-by-step explanation:
Please mark brainliest
Answer:
x+11-14
Step-by-step explanation:
The temperature rose by 11 and fell by 14 so you add 11 and subtract 14 from the original number.
Answer:
z would equal 20°
Step-by-step explanation:
This means ACB and EFD are 2 similar triangles
They have the same shape but different size
In ACB because 3 corner of a traingle must = 180° so in this case, corner BAC would = 180 - 65 - 55 = 60°
As you can see, BC is 3 times as large as DF, this means triangle ACB is larger than triangle EFD 3 times, this would lead to corner BAC is larger than corner DEF 3 times.
Corner DEF would = corner BAC / 3
= 60° / 3
= 20°
SO z would equal 20°
Hope this helped :3
