If y represents the additional lifespan of the goldfish, then 8+y will represent its total lifespan. We expect that value to be less than the longest lifespan on record, so we have
... 8 + y ≤ 41
The solution to this is found by subtracting 8 from both sides of the equation. Doing that gives you
... y ≤ 33
This almost corresponds to selection ...
... a. 8 + y ≤ 41; y = 33
Answer:
Step-by-step explanation:
The work form of this upside down parabola is

It's VERY important that you remember that the negative value there in front of the absolute value of a just means that the parabola is upside down. a itself will not be negative (and we know that because of the absolute value symbols there!). Filling in the x, y, h, and k values we were given allows us to solve for the |a|:
and
and
and
and
3 = -|a|
Again, the negative simply tells us the parabola is upside down, so the absolute value of a = 3, choice c.
We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α =

cos β =

We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
Answer:
<u>Point-slope form</u>: y - 8 = -9/2(x + 4)
Step-by-step explanation:
Given points (-4, 8) and (-2, -1)
In order to determine the point-slope form of the line, we must first solve for its slope by using the following formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (-4, 8)
(x2, y2) = (-2, -1)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (-1 - 8)/ [-2 (-4)]
m = -9/(-2 + 4)
m = -9/2
Therefore, the slope is m = -9/2.
Next, using the slope, m = -9/2, and one of the given points, (-4, 8), substitute these values into the point-slope form:
y - y1 = m(x - x1)
y - 8 = -9/2[x - (-4)]
y - 8 = -9/2(x + 4)
Please mark my answers as the Brainliest, if you find this solution helpful :)
Answer:
I think it'll be D
Step-by-step explanation:
srry if wrong
hope this helps