9514 1404 393
Answer:
3x +5y = -30
Step-by-step explanation:
The parallel line can have the same x- and y-coefficients. You can find the value of the new constant by using the given point for x and y:
3x +5y = 3(-5) +5(-3) = -30
3x +5y = -30
Consider the expression ![n^2+16n-64.](https://tex.z-dn.net/?f=n%5E2%2B16n-64.)
Since
![D=b^2-4ac=16^2-4\cdot (-64)=256+256=512,\\ \\\sqrt{D}=16\sqrt{2},](https://tex.z-dn.net/?f=D%3Db%5E2-4ac%3D16%5E2-4%5Ccdot%20%28-64%29%3D256%2B256%3D512%2C%5C%5C%20%5C%5C%5Csqrt%7BD%7D%3D16%5Csqrt%7B2%7D%2C)
then
![n_1=\dfrac{-16+16\sqrt{2}}{2}=-8+8\sqrt{2},\ n_2=\dfrac{-16-16\sqrt{2}}{2}=-8-8\sqrt{2}.](https://tex.z-dn.net/?f=n_1%3D%5Cdfrac%7B-16%2B16%5Csqrt%7B2%7D%7D%7B2%7D%3D-8%2B8%5Csqrt%7B2%7D%2C%5C%20n_2%3D%5Cdfrac%7B-16-16%5Csqrt%7B2%7D%7D%7B2%7D%3D-8-8%5Csqrt%7B2%7D.)
Therefore, the factored form of
is ![(n+8-8\sqrt{2})(n+8+8\sqrt{2}).](https://tex.z-dn.net/?f=%28n%2B8-8%5Csqrt%7B2%7D%29%28n%2B8%2B8%5Csqrt%7B2%7D%29.)
Answer:
a translation and a rotation
Translation (-2,-3), rotation 90° CW (in either order)
Answer:
Step-by-step explanation:
hey watch it fatty
Answer:
m = slope
the Δ y / Δ x
Δ = change in
Step-by-step explanation: