Answer:
A. 693
Step-by-step explanation:
The question is asking you to input 7 into both functions and then multiply them together.
First insert 7 into f(x) = 7 + 2x, 7 times 2 is 14, plus 7 = 21
do the same with g(x) = 5x - 2, 5 times 7 is 35, minus 2 = 33
fg(7) is saying to multiply fg together as a variable next to another variable does. leaving the answer as 693.
The reflected points would be (-3,-7)
The x coordinate would stay the same but the y-coordinate would be the opposite
Using volume of ball bearings, a manufacturer makes 10 ball bearings from 5.2 cm³ of molten steel to make ball bearings that each have a diameter of 1 centimeter.
According to the question,
It takes 5.24 cubic centimeters of molten steel to make ball bearings that each have a diameter of 1 centimeter.
Radius = 1/2 = 0.5 cm
volume V of one ball bearing is: V=(4/3)*π*r³
= 4/3 * π * (0.5)³
=0.524 cm³
In order to find number of ball bearings out of molten steel only if we divide the volume of steel by the volume of the ball bearing
5.24/0.524=10.
Hence, using volume of ball bearings, a manufacturer makes 10 ball bearings from 5.2 cm³ of molten steel to make ball bearings that each have a diameter of 1 centimeter.
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Area = ½bh
The answer is D. 49.0 units ²
Circle geometry rule: Tangent to circle makes right angle with the radius
Please refer to the diagram below for the working out of each angle