There would be no answer because if you expand the 8(x-5), your equation would be 8x-40=8x+40. since both of these have the same x value (including coefficient) and different y-intercepts, there is no possible way to get an x value
Answer:
(- 3, - 6 ) , (1, 2 )
Step-by-step explanation:
2y = 4x ( divide both sides by 2 )
y = 2x → (1)
x² + y = 3 → (2)
Substitute y = 2x into (2)
x² + 2x = 3 ( subtract 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Substitute theses values into (2) for corresponding values of y
x = - 3 : y = 2(- 3) = - 6 ⇒ (- 3, - 6 )
x = 1 : y = 2(1) = 2 ⇒ (1, 2 )
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
Their is 16 ounces in each pound so that 16 x 2= 32+9
You're answer is 41
Answer: A, B, D, E
Arc PQ is congruent to arc SR.
The measure of arc QR is 150°
Arc PS measures about 13.1 cm.
Arc QS measures about 15.7 cm.
Step-by-step explanation:
