Answer:
8w-2=6
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
First of all, we know that 5x^2+ ax+7x +5=0 only has one root. That means that b^2 - 4ac=0, and we can use this to find the discriminant, ax + 7x.
Now, if we simplified 5x^2+ ax+7x +5=0, by dividing it all by 5, it would be x^2+(a+7)/5x + 1 = 0.
After, we can plug what we know into the formula, b^2 - 4ac=0. It would be:
(a+7)^2 / 25 - 4 = 0
(a+7)^2 / 25 = 4
(a+7)^2 = 100
Since this is a square root, a+7 can be both negative or positive.
a+7= 10, or a+7 = -10
a=3, or a=-17
The question asks for the sum of a, which is 3 + (-17) = -14
Therefore, the answer is -14.
:) have fun with your rsm problems, assuming you got this from the portal.
I believe it might be 107.9 after if that’s what your asking-like taking off 10% of $108.
Distance from focus to vertex=distance from vertex to directix
from (6,2) to y=1, the distance is 1
the focus is 1/2 higher than the vertex
vertex=(6,1.5)
for
(x-h)^2=4p(y-k)
vertex=(h,k)
p=distance from vertex to directix
vertex=(6,1.5)
ditance=0.5
(x-6)^2=4(0.5)(y-1.5)
(x-6)^2=2(y-1.5) is the equation
or
y=0.5x^2-6x+19.5 or
y=0.5(x-6)^2+1.5
The figure is missing. There are several problems with same wording but different numbers
Here, we can use:
- Horizontal distance: 258 feet
Answer:
- Slope = 56.0 ft / 258 ft ≈ 0.217
Explanation:
The <em>slope</em> measures how the rate of change of the vertical distance (vertical fall) with respect to the horizontal distance.
There are several forms to express this with words, which represent the same formula. Here are some of them:
- Slope = rise / run
- Slope = vertical change / horizontal change
- Slope = change in y / change in x
- Slope = Δy / Δx
- Slope = (y₂ - y₁) / (x₂ - x₁)
As said, all those forms mean the same; they are equivalent.
Here, we have vertical fall = 56.0 feet, and horizontal distance = 258 feet, and by specifications of the problem (in the hint) the slope must be positive. Thus, you get:
- Slope = vertical fall / horizontal distance = 56.0 feet / 258 feet ≈ 0.217
