6/8 divide by 8/12 A. 9/2 B. 8/9 C. 9/8 D. 9/32
1 answer:
Answer:
C. 9/8
Step-by-step explanation:
Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:
multiply the numerator together:
6 × 12 = 72
multiply the denominator together:
8 × 8 = 64
now the fraction is:
simplify further by dividing both numbers by 8:
72 ÷ 8 = 9
64 ÷ 8 = 8
so the fraction is 9/8
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Ok so we'll go ahead and solve for y first - we just need to get it alone on one side of the equal sign
Step 1: subtract 2x from each side
2x - 7y - 2x = 19 - 2x
This cancels out the 2x on the left, giving us
-7y = 19 - 2x
Step 2: divide both sides by -7
=
+
This gives us
y = -19/7 + 2x/7
That should be your answer for the first question. Now solving the next parts are easy. All you need to do is plug in x.
When x = -3
y = -19/7 + 2x/7
y = -19/7 + 2(-3)/7
y = -19/7 - 6/7
y = -25/7
When x = 0
y = -19/7 + 2x/7
y = -19/7 + 2(0)/7
y = -19/7
When x = 3
y = -19/7 + 2x/7
y = -19/7 + 2(3)/7
y = -19/7 + 6/7
y = -13/7
Hope that helps! Feel free to ask if I can help with anything else :)
Answer:
<h2>y - 6 = 2(x - 7)</h2>Step-by-step explanation:
The point-slope of an equation of a line:
m - slope
The formula of a slope:
We have the poinys (-1, -10) and (5, 2). Substitute:
Put the value of the slope and the coordinateso f the point (5, 2), to the equation of a line:
In the question we have y - 6 = ...
Therefore
<em>subtract 4 from both sides</em>
<em>use the distributive property</em>
<em>distributive</em>