You will get paid $323.75 if you work 35 hours and get paid $9.25 per hour
Answer:
(x +5)²/4 +(y +8)²/36 = 1
Step-by-step explanation:
The equation of an ellipse with center (h, k) and semi-axes "a" and "b" (where "a" is in the x-direction and "b" is in the y-direction) can be written as ...
((x -h)/a)² +((y -k)/b)² = 1
Here, the center is at (h, k) = (-5, -8), and the semi-minor axis is a=2, while the semi-major axis is b=6.
The equation can be written as ...
((x +5)/2)² +((y +8)/6)² = 1
More conventionally, it is written ...
(x +5)²/4 +(y +8)²/36 = 1
Answer: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since, 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11, you can form a triangle with side lengths 11 mm, 21 mm, and 16 mm.
Step-by-step explanation:
Answer:
The correct option is B.
Step-by-step explanation:
It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.
Let the original price of board game be x.
Multiply both sides by 10.
Divide both sides by 7.
The original price is 20. Therefore the correct option is B.
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.