Answer:
7√2
Step-by-step explanation:
Knowing that the angle is 45° (or π/4 radians) and the opposite leg has a length of 7, you can find the length of b with:
7 / b = sin(π / 4)
7 / (sin(π / 4)) = b
b = 7 / (1 / √2)
b =7√2
A simpler way to get the answer is to note that a right triangle with one 45° angle must be an isoceles right triangle, so both legs are the same length. Using the Pythagorean Theorem:
a² + 7² = b²
Since we know a = 7,
7² + 7² = b²
b = √(2 * 49)
b = 7√2
first , set the function equal to zero
now we can use this expression to factor
![x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where a is 6, b is 1 and c -2
so, replacing
![\begin{gathered} \frac{-(1)\pm\sqrt[]{1^2-4(6)(-2)}}{2(6)} \\ \\ \frac{-1\pm\sqrt[]{1+48}}{12} \\ \\ \frac{-1\pm\sqrt[]{49}}{12} \\ \\ x=\frac{-1\pm7}{12} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B-%281%29%5Cpm%5Csqrt%5B%5D%7B1%5E2-4%286%29%28-2%29%7D%7D%7B2%286%29%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B-1%5Cpm%5Csqrt%5B%5D%7B1%2B48%7D%7D%7B12%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B-1%5Cpm%5Csqrt%5B%5D%7B49%7D%7D%7B12%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-1%5Cpm7%7D%7B12%7D%20%5Cend%7Bgathered%7D)
x has two values
we have the two roots now we chang the sign and make the factor expression
S + l. = 34
11s + 21l= 514
-11s - 11l= -374
11s + 21l = 514
10l = 140
l = 20 long sleeve shirts
s + 20 = 34
s = 14 short sleet shirts
Answer: Pearl
Step-by-step explanation:
In step 2, she justified her step by the definition of vertical angles. However, angles AKL and GKB do not share a common side, meaning they are not adjacent angles.
When you compare two functions f(x) and g(x), you're looking for a special input 
such that
Since you have the table with some possible candidates for , you simply have to choose the row that gives values for f(x) and g(x) that are as close as possible (the exact solution would give the same value for f(x) and g(x), so the approximate solution will give values for f(x) and g(x) that are close to each other).
In your table, the values for f(x) and g(x) are closer when x=-0.75
