They equal the same amount (3) but are written out in different ways.
Answer:
389.89879489
Step-by-step explanation:
1. Multiply
(5.68^3 × 8.14= 1491.65851648)
94100 × √38.2 / 1491.65851648
<u>2</u><u>.</u><u> </u><u> </u><u>evaluate root</u>
(√38.2 = 6.18061485)
94100 × 6.18061485 / 1491.65851648
<u>3</u><u>.</u><u> </u><u> </u><u>multiply </u>
(94100 × 6.18061485 = 581595.85796324)
581595.85796324 / 1491.65851648
<u>4</u><u>.</u><u> </u><u> </u><u>divide</u>
(581595.85796324 / 1491.65851648 = 389.89879489)
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Answer:
z = 66
Step-by-step explanation:
RS = z
QT = z - 33
Based on the midsegment theorem, QT = ½(RS)
Plug in the values
z - 33 = ½(z)
Multiply both sides by 2
2(z - 33) = z
2z - 66 = z
Add 66 to both sides
2z = z + 66
Subtract z from both sides
2z - z = 66
z = 66
