Remember that the radicand (the area under the root sign) must be positive or zero for a radical with an even index (like the square root or fourth root, for example). This is because two numbers squared or to the fourth power, etc. cannot be negative, so there are no real solutions when the radicand is negative. We must restrict the domain of the square-root function.
If the domain has already been restricted to
, we can work backwards to add 11 to both sides. We see that
must be under the radicand, so the answer is
A.
You are a rhombus sometimes although not correctly referred to as a diamond
Let's do it step by step. In the first step eliminate the two parenthesis, for which you need to use the rule of multiplication of signs: the multiplication of two equal signs leads to positive sign, the multiplication of two different signs leads to negative sign. So -(-8) = +8 and -(-14) = +14. and 19 -(-8) - (-14) - 19 + 8 + 14 = 41. The answer is the option C. 41<span>.</span>
Answer:
<u>x = 90</u>
Step-by-step explanation:
We know based on the trigonometric identity that :
Here, it's given : tan (x - 45)° = 1
<u>Equating</u>
- tan 45 = tan (x - 45) [both are equal to 1]
- 45 = x - 45
- <u>x = 90</u>
Given that the extended ratio of the lengths of the triangle is given by 1:2:5 and the perimeter is 32ft, the actual length will be as follows:
1+2+5=8
1/8*32=4 ft
2/8*32=8 ft
5/8*32=20 ft
Therefore we conclude that the longest side is 20 ft
