-x - 7y = 18
4x + 7y = -30
The -7y and 7y cancel by addition.
Thus, 3x = -12
Divide both sides by 3
x = -4
Plug in -4 for x
Thus, -(-4) - 7y = 18
4 - 7y = 18
Subtract 4 to both sides; 4 - 4 - 7y = 18 - 4
Simplify, -7y = 14
Divide both sides by -7; -7y/-7 = 14 / -7
y = -2
Answer:
124
Step-by-step explanation:
To find the surface area, we add the area from all faces or the prism.
the first face, we can put 8 times 2.5, which is 20. There are two of these faces, so we have 40 in our area so far.
next the other face. 4 times 2.5 is 10, and there are two of these faces. 60 in out area.
now the top and bottom faces. 8 times 4 is 32. there are two of these faces, and 60 +64 = 124
(x-3)^2 + (y+5)^2 = 25
remove the ^2's from the left side:
(x-3) +(y+5) = sqrt(25)
(x-3) +(y+5) = 5
radius = 5
now solve for zero 's on the left side:
x-3 = 0 x = 3 (3-3=0)
y+5 = 0 y = -5 (-5 +5=0)
so center = (3,-5) and radius is 5
Answer is last one.
<h3>Answer:</h3>
301.6 cubic meters
<h3>Step-by-step explanation:</h3>
A cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description.
Volume Formula
A circular cylinder has a volume of 
. In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.
Solving for Volume
To solve plug the values into the formula and rewrite the equation.
Next, apply the exponents.
Then, multiply the constants.
Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.
Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.
