Which expressions are equivalent to 16x4 − 64? Check all that apply. 16x4 + 16x – 16x – 64 16x4 – 8x – 8x – 64 (4x2 + 8)(4x2 – 8
1 answer:
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Answer:
cups of butter should be use to keep the same ratio.
Step-by-step explanation:
Given:
A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.
If you plan to use 5 cups of flour.
Now, to find the butter should be used to keep the same ratio.
So, to get the quantity of butter by using unitary method:
If, cup of flour use then butter should be =
.
So, 1 cup of flour use then butter should be = =
.
Thus, for 5 cups of flour butter should be = =
.
Therefore, cups of butter should be use to keep the same ratio.
Given is triangle with base = 10 cm and perpendicular height = 3 cm.
We know the formula for area of triangle is given by :-
Area = × (Base) × (perpendicular height)
Area = × (10) × (3)
Area =
Area = 15 cm²
So, final answer is 15 cm².
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
- (h, k) is the vertex point
- h =
and k = f(h)
- (h, k) is a minimum point if a > 0 and a maximum point if a < 0
Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = =
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet