Answer:
t≥-25
Step-by-step explanation:
this is becuaset ≥ -25 shows that it can not fall under -25, but can be equal to -25.
Answer:
The line of symmetry is x = 8
Step-by-step explanation:
To find the line of symmetry in an absolute value function, look to the base formula.
f(x) = alx - hl + k
In this equation, h is the line of symmetry. Therefore, we know it to be 8
The sum of the measures of angles in the polygon with n angles is
180°(n - 2)
We have an octagon → n = 8.
The sum of the measures of angles in an octagon is
180°(8 - 2) = 180°(6) = 1080°
The equation:
x + 139 + 140 + 125 + 116 + 152 + 2x + 143 = 1080
3x + 815 = 1080 <em>subtract 815 from both sides</em>
3x = 265 <em>divide both sides by 3</em>
<h3>x = 88 1/3</h3>
Answer:
x < -3
Step-by-step explanation:
The domain in which the function is increasing or getting bigger is from x is negative infinity to is -3
x < -3
Answer:
![\huge\boxed{\sqrt{25-10\sqrt3+3}=5-\sqrt3}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csqrt%7B25-10%5Csqrt3%2B3%7D%3D5-%5Csqrt3%7D)
Step-by-step explanation:
![\sqrt{25-10\sqrt3+3}=(*)\\\\25=5^2\\3=(\sqrt3)^2\\10\sqrt3=(2)(5)(\sqrt3)\\\\(*)=\sqrt{5^2-(2)(5)(\sqrt3)+(\sqrt3)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(5-\sqrt3)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|5-\sqrt3|=5-\sqrt3\\\\^{\text{because}\ 5>\sqrt3\to5-\sqrt3>0}](https://tex.z-dn.net/?f=%5Csqrt%7B25-10%5Csqrt3%2B3%7D%3D%28%2A%29%5C%5C%5C%5C25%3D5%5E2%5C%5C3%3D%28%5Csqrt3%29%5E2%5C%5C10%5Csqrt3%3D%282%29%285%29%28%5Csqrt3%29%5C%5C%5C%5C%28%2A%29%3D%5Csqrt%7B5%5E2-%282%29%285%29%28%5Csqrt3%29%2B%28%5Csqrt3%29%5E2%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5C%5C%5C%5C%3D%5Csqrt%7B%285-%5Csqrt3%29%5E2%7D%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%5Csqrt%7Ba%5E2%7D%3D%7Ca%7C%5C%5C%5C%5C%3D%7C5-%5Csqrt3%7C%3D5-%5Csqrt3%5C%5C%5C%5C%5E%7B%5Ctext%7Bbecause%7D%5C%205%3E%5Csqrt3%5Cto5-%5Csqrt3%3E0%7D)