It is known that 5 3x+2
1 answer:
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Answer:
Step-by-step explanation:
As long as the indices are the same for all the radicals, you can multiply them together. Our index for each of these is 2 (square root) so we multiply them all together and put it under 1 square root sign (radical):
The largest perfect square in 150 is 25, and the 6th power on the x needs just to be rewritten in terms of an exponent of 2 to give us:
and pull out the perfect squares to get
Answer:
Step-by-step explanation:
The area of a triangle is given by
where
b is the base
h is the height
Here we have an equilateral triangle, which has the 3 sides of the same length.
Let's call L the length of one side.
We know that the perimeter of the triangle is
p = 9 in
The perimeter is the sum of the three sides, so:
Therefore, we find the length of the side:
Therefore the length is the base of the triangle,
The height can be calculated by considering half triangle: the hypothenuse is equal to L, while one side is equal to half the base (b/2), therefore the height is given by Pythagorean's theorem:
Therefore, the area of the triangle is: