Answer:
c. (5, -2)
Step-by-step explanation:
as we can clearly see, the 4th vertex has to be on the positive side of x.
therefore, all answer options with negative x are out.
(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.
that leaves only c as right answer.
FYI - how to get this without predefined answer portions ?
the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.
so, x of D must be 5.
the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.
so, y of D must be -2.
Answer:
Choice A. 3.
Step-by-step explanation:
The triangle in question is a right triangle.
- The length of the hypotenuse (the side opposite to the right angle) is given.
- The measure of one of the acute angle is also given.
As a result, the length of both legs can be found directly using the sine function and the cosine function.
Let 
denotes the length of the side opposite to the 
acute angle, and 
be the length of the side next to this acute angle.
.
Similarly,
.
The longer leg in this case is the one adjacent to the acute angle. The answer will be 
.
There's a shortcut to the answer. Notice that 
. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the angle will be the longer leg. There will be no need to find the length of the opposite leg.
Does this relationship 
holds for all acute angles? (That is, 
?) It turns out that:
Answer:
B. 8x^2-6x-7
Step-by-step explanation:
All you have to do is combine the like terms.
Like terms are the terms that have the same variable and same exponent.
The like terms in this equation are 6x^2 and 2x^2, 11x and -17x, and -3 and -4.
When you add 6x^2 and 2x^2, you get 8x^2
When you add 11x and -17x, you get -6x
When you add -3 and -4, you get -7.
Putting these all in order, your answer is
8x^2 - 6x - 7
The answer would be 1 3/14
;
if
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if
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