Switch\:sides
-9s<-72
\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}
\left(-9s\right)\left(-1\right)>\left(-72\right)\left(-1\right)
\mathrm{Simplify}
9s>72
\mathrm{Divide\:both\:sides\:by\:}9
\frac{9s}{9}>\frac{72}{9}
Simplify
s > 8
Answer:
Step-by-step explanation:
Check the attached diagram... since they are parallel lines, those angles should be equal. now as per the theorem of opposite angles, (3x + 10)° should be equal to 70° .
(3x + 10)° = 70°
3x = 60°
x = 20
Q1
I like to use the standard form to write the equation of a perpendicular line, especially when the original equation is in that form. The perpendicular line will have the x- and y-coefficients swapped and one negated (remember this for Question 3). Thus, it will be
... 5x - 2y = 5(6) - 2(16) = -2
Solving for y (to get slope-intercept form), we find
... y = (5/2)x + 1 . . . . . matches selection C
Q2
The given equation has slope -3/6 = -1/2, so that will be the slope of the parallel line. (matches selection A)
Q3
See Q1 for an explanation. The appropriate choice is ...
... B. 4x - 3y = 5
Q4
The given line has slope -2, so you can eliminate all choices except ...
... D. -2x
Q5
The two lines have the same slope (3), but different intercepts, so they are ...
... A. parallel
Answer:
a right angle?
Step-by-step explanation:
