4 + 2h < -3
2h < -7
h < -3.5
x ∈ (-∞, -3.5)
To find the slant height we must take apart the pyramid first. Let us cut it in half. There we can easily see that the slant height is really just the hypotenuse of the triangle formed by half the base and the altitude.
Half the base length would be 6 cm.
Using the Pythagorean therom:
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
c = 10
The slant height should be 10 cm. Hope this helps!
Answer:
1.
Step-by-step explanation:
We have been given a graph of a scatter-plot and we are asked to find the correct expression than can be solved to find the slope of the trend line in the scatter-plot.
Since we know that slope of a line can be found by dividing the difference of the y-coordinates of 2 points on a line by difference of the x-coordinates of these same points.
We can see that (2,79) and (12,24) are two given points of our trend line. So let us substitute x and y-coordinates of our given points in slope formula to find the our desired expression.





Therefore, the expression
can be solved to find the slope of the trend line in the scatter-plot and 1st option is the correct choice.
Hello!
If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.
To give you a visual, this is what I mean.

That means we'll want to find
with the first point we're given: 



Which means our equation is:

Now, let's plug in the
and
from the other point to find
.


Hope this helps!