All 3 angles of a triangle must equal to 180. You can simply set up an equation to solve this and set it equal to 180.
Angle 1 - 50 + x
Angle 2 - x
Angle 3 - 2x -10
50+x+x+2x-10=180
4x+40=180
4x=140
x=35
Angle 1 = 50+35= 85
Angle 2 = 35
Angle 3 = 2(35) - 10 = 60
60+35+85=180
Answer:
y=7x - 2
Step-by-step explanation:
Slope- intercept form is - y=mx+b
In this equation, you would start off by isolating y.
So, you would move 7x to the right side like so-
7x -y =2
-7x -7x
Now you have
-y= -7x +2
Next step is to divide all number by -1 since you have -1y
-y=-7x+2
/-1 /-1 /-1
Now you have
y = 7x -2
Answer:
x1 y1 x2 y2
3 -1 -8 0
ΔY 1
ΔX -11
slope= - 1/11
B= - 8/11
Step-by-step explanation:
Take the derivative of <em>F</em> :
<em>F(x)</em> = <em>x</em>³ <em>f(x)</em> + 10 → <em>F'(x)</em> = 3 <em>x</em>² <em>f(x)</em> + <em>x</em>³ <em>f'(x)</em>
The tangent line to <em>F(x)</em> at <em>x</em> = 1 passes through the point (1, <em>F</em> (1)) and has slope equal to <em>F' </em>(1) :
<em>F</em> (1) = 1³ <em>f</em> (1) + 10 = 2
<em>F</em> '(1) = 3 • 1² <em>f</em> (1) + 1³ <em>f'</em> (1) = -12
Use the point-slope formula to find the equation of the line:
<em>y</em> - <em>F</em> (1) = <em>F'</em> (1) (<em>x</em> - 1) → <em>y</em> = -12 <em>x</em> + 14