Answer:
16 + 3n
Step-by-step explanation:
a = 19 ; common difference = 22 - 19 = 3
a(n) = a + (n -1 ) *d
= 19 + (n-1)*3
= 19 + 3n - 3
= 16 + 3n
Answer:
y = 3
Step-by-step explanation:
-7 = -4y + 5
Subtract 5 from both sides to isolate variable y:
-7 - 5 = -4y + 5 - 5
-12 = -4y + 0
-12 = -4y
Divide both sides by -4 to isolate variable y:
-12 ÷ -4 = -4y ÷ -4
(Negative ÷ Negative = Positive)
3 = 1y
3 = y
Check your work:
-7 = -4(3) + 5
Use PEMDAS:
-7 = -12 + 5
-7 = -7
Correct!
105/5 = $21 per hour
21 * 11 = $231 for 11 hours
x - 5y = -5, -5x - 25y = 25
First, you'll need to get the x variable by itself.
x - 5y = -5<u>
</u><u> +5 +5</u><u>
</u> x = 0
So x is plotted on the 0.
For the second part of the first equation, you'll be looking for what the y variable represents.
x - 5y = -5
<u>-x -x</u><u>
</u> <u>-5y</u> = <u>-5</u><u>
</u><u> 5 5</u><u>
</u> y = 1
So y is plotted on the 1 on the vertical line above the 0.
For the first part of the second equation, you'll do the same thing as in the first equation.
-5x - 25y = 25
<u> +25 +25</u><u>
</u> <u>-5x</u> = <u>50</u><u>
</u> 5 5
x = 10
So the x for this equation is plotted on 10 on the horizontal line.
For the second part of the second equation, you will do the same thing as in the first equation.
-5x - 25y = 25
<u>+5 +5</u><u>
</u> <u>-25y</u> = <u>30</u><u>
</u> 25 25
y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.
<h2>
Answer: B) Perpendicular</h2>
Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.
Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.
Intersecting means the lines may or may not be of equal length but will touch each other.
Answer:
x = 3.2
Step-by-step explanation:
5x + 8 = 24
5x = 16
5+5+5+1
1 is a 1/5 or .2 of a 5
x = 3.2
So, therefore, x would be 3.2
