Pythagorean theorem= a^2 + b^2= c^2
The sides are a & b and the hypotenuse is c.
a= 9ft
b= 12ft
c= ?
a^2 + b^2= c^2
(9)^2 + (12)^2= c^2
81 + 144= c^2
225= c^2
take the square root of 225 and c
15= c
ANSWER: c= 15 feet
Hope this helps! :)
A relation is a relationship between sets of values. In math, the relation is between the x-values and y-values of ordered pairs. The set of all x-values is called the domain, and the set of all y-values is called the range.
In this image, we can see that the domain consists of the x-values from each ordered pair. The range consists of the y-values from each ordered pair. The brackets are used to show that the values form a set. It is important to not repeat values in the domain and range sets (notice that two of the ordered pairs have the number 2 as the y-value, but 2 is listed only once in the range). In this example, the values in the domain and range are listed numerically. While this is common practice, it is not essential.
Well, anything that's rotated (turned), reflected (flipped), or translated (moved) is still the same shape of the same size, so the new figures would be congruent with the originals. Dilation, however, is when the shape stays the same but the size changes, so when a figure is dilated, it's not congruent, just similar. 2 out of the 4 are dilated, so those ones would be the answer.
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The value of uqpv is 1.
In order to find this, it is important to note the associative property of multiplication. This states that we can group numbers in any order of multiplying and it still equals the same. Therefore, we can assume:
uqpv = (pq)(uv)
We also have values for pq and uv. So we plug in and solve.
(pq)(uv) = uqpv
(23)(1/23) = uqpv
1 = uqpv
