3. No it is not on the graph.
because: y=2x+5 insert (5,6)
6=2x5 +5 is wrong
4. C
Answer:
a,d
Step-by-step explanation:
The product is 60.
We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have
x²+24²=30²
x²+576=900
Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324
Take the square root of each side:
√x²=√324
x=18
We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:
720=(1/2*18*24)y
720=216y
Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y
This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
That would be 1/8 times 288, so the answer would be 36 part time workers.
