Multiply top equation by -2, then add equations so b drops out....solve for a...plug in a to get b
<span>f(5)= 2+5 = 7
</span><span>g(5)= 5^2+5 = 25 +5 = 30
</span><span>(f - g) (-5) = 7 - 30 = -23
answer is </span><span>D.-23</span>
Answer:
<h2> P = 98 cm</h2>
Step-by-step explanation:
Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.
Perimeter:
P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98
You can set this up as a system of equations.
x + y = 19
10x + 25y = 3.70
Your answer would be 31.42 dimes and -12.42 quarters.
Answer:
V = 1250π/3 mm³
V = 1309 mm³
Step-by-step explanation:
The composite figure is made up of a cylinder with radius 5 mm and two hemispheres of radius 5 mm. The height of the cylinder is
20 mm - 5 mm - 5 mm = 10 mm
The two hemispheres make up a full sphere of radius 5 mm.
V = πr²h + (4/3)πr³
V = π(5 mm)²(10 mm) + (4/3)π(5 mm)³
V = [(25 mm²)(10 mm) + (4/3)(125 mm)³]π
V = [250 mm³ + 500/3 mm³]π
V = 1250π/3 mm³
V = 1309 mm³
