Hi there!
Here are all the steps into solving this equation into the y-intercept form:
y <u>- 6</u> = 1/2(x - 2)
Add 6 on each side of the equation
y = <u>1/2(x - 2)</u> + 6
Multiply the whole parentheses by 1/2
<u>1/2 × x</u> = 1/2X
<u>1/2 × -2</u> = -1
y = 1/2x <u>- 1 + 6</u>
Add the similar terms together
y = 1/2x + 5 → ANSWER
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
-4
Step-by-step explanation:
From the qquadratic formula
x1 = [ -b +√(b² - 4ac) ] / 2a
x2 = [ -b -√(b² - 4ac) ] / 2a
When added together the ± square root cancels out leaving
(-b/2a) + (-b/2a) = -b/a
For 2x² + 8x -3 = 0
-b/a = -8/2
-b/a = -4
She makes 20 observations in all, because there are 5 groups with 4 students in each group. 5x4=20
Answer:
42 units
Step-by-step explanation:
If R is the midpoint of QS, then by definition, QR = RS. Since QR = 8x - 51 and RS = 3x - 6, set these equal to solve for x:
QR = RS
8x - 51 = 3x - 6
5x = 45
x = 9
Now that we know x = 9, we can plug this back into one of the expressions for QR or RS to find its length:
QR = 8x - 51 = 8 * 9 - 51 = 72 - 51 = 21
Since half of QS is 21, then the whole of QS is twice that:
2 * 21 = 42
The answer is thus 42 units.
<em>~ an aesthetics lover</em>
The first one is $240, and the second one is $235.20
