Answer:
b
Step-by-step explanation:
it is to long to explain sorry
Answer:
y = 1/2x + 14
Explanation:
y = 1/2x + 14 is perpendicular to y = -x = 18 and passes through the slope (-6, 11)
Tip:
Desmos (the app) helps a lot with graphing problems.
The second-quadrant angle is
... arctan(3.3/-6.0) ≈ 151°
_____
Your calculator will tell you it is about -28.81°. You need to add 180° to that 4th-quadrant angle to put it in the 2nd quadrant.
The correct answer would be 7! Hope I helped!
Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6