2) -7x + 5y=10 4x - 5y=-10
2 answers:
To solve this, the problem is solvable by elimination. So you see how the 5y and -5y cancel out? You basically add those two and you add the -7x and 4x and 10 and -10 leaving you with -3x=0. Dividing by each side gives you x=0. Then, plug 0 in for x in -7x+5y=10. Giving you
-7(0)+5y=10.
0+5y=10
5y=10
Divide by 5 on each side giving you y=2. So your answer is (0,2).
-7(0)+5y=10.
0+5y=10
5y=10
Divide by 5 on each side giving you y=2. So your answer is (0,2).
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Answer:
<h2>The obtuse angle is 120°.</h2><h2>The acute angle is 60°.</h2>Step-by-step explanation:
This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.
We can form the expression
Where is an acute angle and
is an obtuse angle.}
Using all the given information, we have
Solving for , we have
Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.
Answer:
V = πr²h
To determine the volume of a cylinder you have to multiply the area of the base by the height of the cylinder.
Step-by-step explanation:
The base of a cylinder is a circle. So we must find the area of the circle first. (Which is πr²)
Then we multiply the height by the area of the circle.
V = π·r²·h
This can be used in different ways as well,
if we don't know the radius but know everything else we could use the formula:
(r = √(V/πh))
If we don't know the height we use this formula:
(h = V/(πr²))