Answer:
y = (2/5) OR y = (6/5)
Step-by-step explanation:
The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:
4 - 5y = 2 OR 4 - 5y = -2
5y = 2 OR 5y = 6
y = (2/5) OR y = (6/5)
If we plug both of these answers back into the equation we can see that they both check out.
Answer:
x- 3y - 7=0
Step-by-step explanation:
the line in the slope-intercept form:
m= 1/3 and point given (1, -2) by using which we find y-intercept:
- b= y-1/3x
- b= -2- 1/3*1= - 7/3
General form of a line is: ax+by+c= 0
converting:
- y= 1/3x- 7/3 ⇒ 3y= x- 7 ⇒ x- 3y - 7=0
Answer:
Final answer is c. 15
Step-by-step explanation:
We need to find about what is the first term in the sequence for which d = -2 and a7 = 3
We will use nth term formula of arithmetic sequence.
we have been given a7 that means 7th term is 3
so plug n=7, d=-2 and a_n=3 into above formula
Hence final answer is c. 15
Answer:
79°
Step-by-step explanation:
A triangle has 180° in it so 180 - 82 =98- 19=79
9=n+3
Subtract 3 on each side
n=6
