X^2+7x-7x-49
Simplified = x^2-49
Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
Answer:
the desired equation is y = (-1/5)x - 5.
Step-by-step explanation:
Parallel lines have the same slope. Here that slope is -1/5.
Let's use the slope-intercept form of the equation of a straight line:
y = mx + b
We know this new line passes through (-10, -3). Substitute -3 for y in y = mx + b, as well as -10 for x and -1/5 for m:
-3 = (-1/5)(-10) + b and solve for b:
-3 = 2 + b. Then b = -5, and the desired equation is y = (-1/5)x - 5.