The variable x is equal to 3
Answer:
x = 8/7
Step-by-step explanation:
log (X + 8) = log x + log 8
We know that log a + log b = log ab
log (X + 8) = log 8x
Raise each side to base 10
10^log (X + 8) = 10^log 8x
x+8 = 8x
Subtract x from each side
x+8-x = 8x-x
8 = 7x
Divide by 7
8/7 = 7x/7
8/7 =x
Answer:Function
Step-by-step explanation:Because each x variable is pointing to a diffrent range
The longer an object, the longer the shadow they cast at a given time of the day and vice versa. This is called direct proportionality. At the same time,
If 15 foot flagpole ---- casts 11 foot shandow
28 foot tree -------- casts ?? foot shadow
The proportion would therefore be:
Length of shadow cast by tree = (28/15)*11 = 20.533 foot.
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.
