The equation of a line that goes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
so, given the point (-2,8)
x1=-2
y1=8
y-8=m(x-(-2))
y-8=m(x+2)
the equation is y-8=m(x+2) where m is the slope
or you could rewrite it to get y=mx+2m+8
Answer:
x = 1 11/15
Step-by-step explanation:
Using ratios of similar triangles
3 5.2
-------- = ----------
4 (5.2 + x)
Using cross products
3 * (5.2 + x) = 5.2 * 4
Distribute
15.6 + 3x = 20.8
Subtract 15.6 from each side
15.6-15.6 + 3x = 20.8 -15.6
3x =5.2
Divide each side by 3
3x/3 = 5.2/3
x = 5.2/3
x=52/30
x = 26/15
x = 1 11/15
Answer:
40 cm^2.
Step-by-step explanation:
Area = the sum of the 2 triangles
= 1/2 * 6 * 8 + 1/2 * 4 * 8
= 24 + 16
= 40 cm^2.
Answer:
138.2degrees
Step-by-step explanation:
178.2 - 40 = 138.2
Answer:
x=-4
Step-by-step explanation:
First, write the expression and distribute.
-2(2x+11)=5x+14
-4x-22=5x+14
Add one of the variables to the other side (it makes solving a lot easier). I'll add 4x to both sides because it won't result in a negative x.
-4x-22=5x+14
<u>+4x +4x</u>
-22=9x+14
Now, subtract 14 on both sides.
-22=9x+14
<u>-14 -14</u>
-36=9x
Divide both sides by 9.
-36=9x
<u>/9 /9</u>
-4=x or x=-4 (they both mean the same thing)
Have a wonderful day! I hope this helped :3
