Answer:
Step-by-step explanation:
There is a y² term, so the parabola is horizontal.
Vertex-form equation for a horizontal parabola:
x = a(y-k)² + h, where (h,k) is the vertex
If a>0, then
the parabola opens to the right
focal length p = 1/(4a)
focus (h+p,k)
directrix: x=h-p
endpoints of latus rectum: (h+p,k±2p)
Put equation into vertex form.
x = (1/12)y²
vertex (0,0)
focal length p = 1/(4·1/12) = 3
focus (0+p,0) = (3,0)
directrix: x = 0-p = -3
endpoints of latus rectum: (3,±6)
Okay so 1 ton is equal to 2,000 pounds... So first you times 1500 by 3 to get 4500. Since 1 ton equals 2,000 you can fit 2 full tons and there's half left over. So your answer is 2 1/2 tons! hope that helps!! :)
Answer:
8x^2 + 6x + 36xy^2 + 24y^2
Step-by-step explanation:
First, multiply the two terms inside the second set of parentheses by-2x; we get 8x^2 + 6x.
Next, multiply the same two terms by -9y^2; we get 36xy^2 + 24y^2.
Now add these products together:
8x^2 + 6x + 36xy^2 + 24y^2 This is the desired product.
Answer:
150
Step-by-step explanation:
Answer:
57.8º
Step-by-step explanation:
According to the law of sines
=
=
.
In this triangle we have two sides with two of their angles.
Let's make 8 cm side a with 38º as its angle, and 11 cm side b with x as its angle.
=
Now we multiply both sides by 11 to get rid of the denominator on the left.
sinx = ![\frac{11sin38}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B11sin38%7D%7B8%7D)
To find x, we use inverse sine.
x = sin⁻¹ (11sin38/8)
Plug this into a calculator, and you will get 57.837.
Round this to 57.8º
Hope this helps!