Answer:
-10w -20
Step-by-step explanation:
5(-2w-4)
Distribute the 5
5*-2w -5*4
-10w -20
Answer:
The vertex of the graph is located at the point (3,6)
Step-by-step explanation:
Here, we want to know where the vertex of the equation if plotted will be
To get this, what we have to do is to equate the expression that we have in the absolute value to zero
After this, we then proceed to solve for the value of x
We have this as;
x -3 = 0
hence;
x = 0 + 3
x = 3
to get the y-value of the vertex, we look at the value at the side of the absolute value
This value is 6 and thus, the y-value of the vertex point is 6
So the coordinates of the vertex is (3,6)
Answers:
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Explanation:
Part (a)
Lines LN and PN have the point N in common. This is the intersection point.
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Part (b)
To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.
I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.
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Part (c)
Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K
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Part (d)
Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.
We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.
Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.
1) 0.927184
2) 0.615661
3) 0.383864
Answer:
yes it is a 75% decrease
Step-by-step explanation:
since 80-20=60
60/80=6/8=3/4
3/4=75%
