Hello from MrBillDoesMath!
Answer:
(1/3) x <= -6 when x >= 18
Discussion:
Solve the inequality:
-(1/3)x < = -6
Add +(1/3)x and + 6 to both sides:
- (1/3)x + (1/3x) + 6 <= -6 + (1/3)x + 6 =>
0 + 6 <= (1/3)x => (multiply both sides by 3)
6*3 <= 3 (1/3) x =>
18 <= x
Regards,
MrB
Answer:
Scalene and obtuse
Step-by-step explanation:
obtuse cuz 132 is greater than 90
scalene cuz all three sides have different lengths
Answer:
See below (Siéntete libre de traducir al inglés)
Step-by-step explanation:
Given the parabolic equation is in the form of (y-k)²=4p(x-h), this is a horizontal parabola with a vertical directrix at x=h-p where (h,k) is the vertex and the focus is (h+p,k). Since p=2, then the directrix is x=3-2=1. The vertex would be (h+p,k) -> (3+2,2) -> (5,2). Refer to the graph.
If this is a true or false question, than this is true.
The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
<h3>How to solve the variables?</h3>
<u>(1) y/3 + 6 = -3/2</u>
Multiply through by 3
y + 18 = -9/2
Subtract 18 from both sides
y = -18 - 9/2
Take LCM
y = (-18 * 2 - 9)/2
Evaluate
y = -45/2
<u>(2) -2r/3 - 3 = 3</u>
Multiply through by 3
-2r - 9 = 9
Add 9 to both sides
-2r = 18
Divide by 2
r = -9
<u>(3) 2/3 - 2x = x</u>
Multiply through by 3
2 - 6x = 3x
Add 6x to both sides
2 = 9x
Divide by 9
x = 2/9
<u>(4) 7x/2 + -5/2 = 9/2</u>
Multiply through by 2
7x - 5 = 9
Add 5 to both sides
7x = 14
Divide by 7
x = 2
Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
Read more about fractions at:
brainly.com/question/11562149
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