Answer:
![\large\boxed{x=8\sqrt2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D8%5Csqrt2%7D)
Step-by-step explanation:
![\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2](https://tex.z-dn.net/?f=%5Cbold%7BMETHOD%5C%201%7D%5C%5C%5C%5C%5Ctext%7BUse%20the%20Pythagorean%20theorem%3A%7D%5C%5C%5C%5Cleg%5E2%2Bleg%5E2%3Dhypotenuse%5E2%5C%5C%5C%5C%5Ctext%7BWe%20have%7D%5C%20leg%3D8%2C%5C%20leg%3D8%2C%5C%20hypotenuse%3Dx.%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5Cx%5E2%3D8%5E2%2B8%5E2%5C%5C%5C%5Cx%5E2%3D2%288%5E2%29%5Cto%20x%3D%5Csqrt%7B2%288%5E2%29%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Ccdot%5Csqrt%7Bb%7D%5C%5C%5C%5Cx%3D%5Csqrt2%5Ccdot%5Csqrt%7B8%5E2%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%7Ba%5E2%7D%3Da%5C%5C%5C%5Cx%3D8%5Csqrt2)
![\bold{METHOD\ 2}\\(look\ at\ the\ picture)\\\\\text{We have}\ a=8.\ \text{Therefore}\ a\sqrt2=8\sqrt2](https://tex.z-dn.net/?f=%5Cbold%7BMETHOD%5C%202%7D%5C%5C%28look%5C%20at%5C%20the%5C%20picture%29%5C%5C%5C%5C%5Ctext%7BWe%20have%7D%5C%20a%3D8.%5C%20%5Ctext%7BTherefore%7D%5C%20a%5Csqrt2%3D8%5Csqrt2)
Answer:
y = -2/3 + 18
Step-by-step explanation:
2x + 3y = 18 ----- here is the equation...
-2x - 2x ----- bring the 2x to the other side
3y = -2x + 18 ----- now you have to divide everything by 3 to get y by itself
y = -2/3 + 18 ----- Done!
Answer:
80 m²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A =
h (a + b)
where h is the perpendicular height between bases and a, b are the bases
Here h = 8, a = 14 and b = 6, thus
A =
× 8 × (14 + 6) = 4 × 20 = 80 m²
Answer:
area = 92 yd²
Step-by-step explanation:
13x8 = 104
3x8x0.5 = 12
104 - 12 = 92 yd²
the next term is 1 because 64 divide by 16 is 4 which means the geometric sequence is decreasing by 4