Answer:
<em>66°</em>
Step-by-step explanation:
mJK = ( 6x - 45 )°
mJH = ( x + 20 )°
mJK = mJH
6x - 45 = x + 20
5x = 65
x = 13
mHK = ( x + 20 )° + ( 6x - 45 )°
<em>mHK =</em> 2 × 33° = <em>66 </em>°
The answer
the complement of the question is
<span>
Find the interval on the real number line for which the radicand is nonnegative (greater than or equal to zero)</span><span> so that the radical sqrt(8 x - 8) defines a real number. Leave answer in interval notation.
</span>
sqrt(8 x - 8) is definite function if <span>8 x - 8 ≥0, </span>
8 x <span><span> ≥ 8</span> and x </span>≥ 8/ 8 = 1, x <span>≥ 1, so the interval solution is [1, infinity[</span>
<span>
</span>
Answer:
-3x +8
Step-by-step explanation:
Apparently, you want to simplify the expression. That means you want to "collect terms", or "combine like terms."
"Like terms" are ones with the same variable structure. Here, the three terms in the expression are (-2x), (-x), and (+8). The ones that both have x as a variable are (-2x) and (-x). The way we combine these is to add the coefficients of the variable:
(-2x) +(-x) = x(-2) +x(-1)
= x(-2 -1)
= x(-3)
= -3x
So, the two "x" terms combine to give -3x. The constant term (+8) is not combined with anything. The simplified expression is then ...
-3x +8
_____
<em>Additional comments about writing and combining terms</em>
When math symbols are written next to each other, it means they are multiplied. -2x means (-2) × (x). It can be written several ways, including ...
- -2x
- (-2)x
- x(-2)
- (x)(-2)
- (-1)(2x)
Usually, the coefficient is written in front of the variable. In the above, we have chosen to write the coefficient after the variable so that the expression shows some parallelism with the usual expression of the <em>distributive property</em>:
a(b +c) = ab +ac
x(-2 -1) = x(-2) +x(-1)
Answer:
9000000001
Step-by-step explanation:
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