Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
Quadratic formula is x=(-b+-sqrt(b^2-4ac))/(2a)
a= 1, b=-4, and c=3
Therefore, x=(-(-4)+-sqrt((-4)^2-4(1)(3))/(2(1))
Solve for both the plus and minus equations; the answers will be the roots to the quadratic equation.
Answer:
-5/9 ≥ 5k
Step-by-step explanation:
no less than means greater than or equal to because -5/9 is the lowest it can go (nothing less than), meaning that number or higher. 5 times a number k is just 5 times k, which is 5k to the inequality is
-5/9 ≥ 5k
Given:
The points are (-3, 2) and (2, -13).
To find:
Slope-intercept form of the equation.
Solution:
Here 
.
Slope of the line:
m = -3
Using point-slope formula:
Add 2 on both sides.
Slope-intercept form of the equation is y = -3x - 7.
