Whenever we need to prove something, our first step is to write the given statements and then the second step is to write what we have to prove.
So out of the given two options, the correct option is the first option, that is , given .
Answer:
D
Step-by-step explanation:
First subtract the 1 from both sides. this leaves you with a -2x on one side and a 2 on the other side. Divide the -2, and remember that when you divide a negative number, the sign in the middle flips meaning that the answer would be x is less than or equal to -1.
Answer:
-2 ≤ x ≤ 4
Step-by-step explanation:
|2x - 2| ≤ 6
2x - 2 ≤ 6 or 2x - 2 ≥ -6
2x - 2 ≤ 6
2x ≤ 8
x ≤ 4
2x - 2 ≥ -6
2x ≥ -4
x ≥ -2
Answer:
exponents
Step-by-step explanation:
It is easier to add scientific notation values if they are raised to the same power.
Answer:
y = (-3/4)x - 4
Step-by-step explanation:
The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.
Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.
We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:
y - y1 = m(x - x1)
y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)
y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3
y = (-3/4)x - 3 - 1
y = (-3/4)x - 4