Answer:
it is 8 times as much
Step-by-step explanation:
I really don't how to explain this
Answer:
see attached
Step-by-step explanation:
The first application of the Pythagorean theorem is used to find the diagonal of one face. That is called 'a' in this problem. Then the second application of the Pythagorean theorem uses that value of 'a' along with the remaining prism dimension to find the space diagonal 'c'.
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You don't actually have to find 'a', because you only need the value of a². Using the first equation to substitute into the second equation gives ...
6² +8² +12² = c²
Answer:
1= 5x and 7x
2= 3x and 2x
Step-by-step explanation:
its hard to explain you just add them or minus them
Answer:
<h2>y = 7</h2>
Step-by-step explanation:
We know that the sum of the measures of angles on one side of the parallelogram is 180°.
We have the equation:
(6x - 12) + (132 - x) = 180
6x - 12 + 132 - x = 180 <em>combine like terms</em>
(6x - x) + (-12 + 132) = 180
5x + 120 = 180 <em>subtract 120 from both sides</em>
5x = 60 <em>divide both sides by 5</em>
x = 12
Opposite angles in the parallelogram are congruent.
Therefore:
6y + 18 = 6x - 12
Put the value of x to the equation and solve it for y:
6y + 18 = 6(12) - 12
6y + 18 = 72 - 12
6y + 18 = 60 <em>subtract 18 from both sides</em>
6y = 42 <em>divide both sides by 6</em>
y = 7
(x^2 - 9)(x + 2) = 0
(x - 3)(x + 3)(x + 2) = 0
As any of the 3 above factors can equal zero the solutions are
x = 3, -3 , -2.
So the answer is E.