Your answer would be 4x-7=-3(3+4x) because it only has one solution which is x= -1/8
Answer: 16 minutes and 40 seconds
Step-by-step explanation:
1.) Divide 10 minutes by 3 laps in order to find out how long it takes her to run a single lap. (it ends up being 3 minutes and 20 seconds per lap)
2.) Multiply this number by 5, you get 16 minutes and 40 seconds.
NOTE: remember that you’re using intervals of 60 (seconds in a minute) rather than intervals of 100.
<em>Answer</em>
D) 1
<em>Explanation</em>
A perpendicular line makes a angle of 90° with a line or a plane.
If a line is to be drawn from a point to a line or a plain it can only be one. In this case a line is to be drawn through a point A to a plane P. If the line is to be perpendicular, then is is only one.
From the choices, the appropriate answer is D) 1
Answer:
A: 779 cm²
B: 1837 cm²
Step-by-step explanation:
For both problems, use the formula for surface area of a cylinder:
SA = 2πr² + 2πrh
2πr² is the two bases.
2πrh is the curved surface.
<u>PROBLEM A</u>
"the cylinder is 60 cm long" is h = 60.
If given diameter, you can find "r" by dividing it by 2. d = 2r
Given d = 4, then r = 2.
SA = 2πr² + 2πrh
SA = 2π2² + 2π2(60)
SA = 8π + 240π Add
SA = 248π Exact answer
SA ≈ 779.114978 Answer on calculator
SA ≈ 779 Rounded answer
Remember to include the units.
The surface area is about 779 cm².
<u>PROBLEM B</u>
"80 cm long" h = 80.
"circumference of 22 cm". C = 22. Remember C = 2πr. Find "r".
C = 2πr
22 = 2πr
11 = πr
r ≈ 11/π
SA = 2πr² + 2πrh
SA = 2π(11/π)² + 22(80) Substitute 2πr with the circumference.
SA ≈ 1837.030992 Answer on calculator
SA ≈ 1837 Rounded answer
Remember to include the units.
The surface area is about 1837 cm².
Answer: e^2 - 21
Step-by-step explanation:
e squared will e^2
twenty one will be 21.
The diffrence is the same as subtraction .
e^2 - 12
