Answer:
slope of perpendicular line - m = -1/2
passing through (-2,3)
thus,
y-3 = -1/2 (x+2)
or y = -1/2x +2
Answer: 245 degrees
Step-by-step explanation:
Answer:
8 cm
Step-by-step explanation:
Let x cm be the length of the base, then the length of the height is x+7 cm. Use formula for the area of the triangle:
![A_{triangle}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}](https://tex.z-dn.net/?f=A_%7Btriangle%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20%5Ctext%7Bbase%7D%5Ccdot%20%5Ctext%7Bheight%7D)
In your case,
![60=\dfrac{1}{2}\cdot x\cdot (x+7),\\ \\120=x(x+7),\\ \\x^2+7x-120=0,\\ \\D=7^2 -4\cdot 1\cdot (-120)=49+480=529,\\ \\x_{1,2}=\dfrac{-7\pm\sqrt{529}}{2\cdot 1}=\dfrac{-7\pm 23}{2}=-15,\ 8](https://tex.z-dn.net/?f=60%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20x%5Ccdot%20%28x%2B7%29%2C%5C%5C%20%5C%5C120%3Dx%28x%2B7%29%2C%5C%5C%20%5C%5Cx%5E2%2B7x-120%3D0%2C%5C%5C%20%5C%5CD%3D7%5E2%20-4%5Ccdot%201%5Ccdot%20%28-120%29%3D49%2B480%3D529%2C%5C%5C%20%5C%5Cx_%7B1%2C2%7D%3D%5Cdfrac%7B-7%5Cpm%5Csqrt%7B529%7D%7D%7B2%5Ccdot%201%7D%3D%5Cdfrac%7B-7%5Cpm%2023%7D%7B2%7D%3D-15%2C%5C%208)
Since the base cannot have negative length, then x=8 cm.
Answer:
every pair is being multi by the next number
Step-by-step explanation:
2 x 3 =6
3 x 4 = 12 so the second number goes up one every time