K/6 = 15/18 Solve the proportion
2 answers:
Answer: 5
Step-by-step explanation: To solve for <em>k</em> in the given proportion, we use the means-extremes property. The product of the extremes, (k)(18), equals the product of the means, (6)(15).
So we have (k)(18) or 18k = (6)(15) or 90.
Now we have the equation 18k = 90.
Dividing both sides by 18, <em>k = 5</em>.
It's a good idea to check the answer in these types of problems so if we plug a 5 back in for <em>k</em> in the original proportion, we have which is a true statement since 15/18 reduces to 5/6.
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Answer:
y = x -- 2
Step-by-step explanation
We need to fill out the formula y = mx + b.
First, we must find out what each part of that formula means.
mx = slope
b = y-intercept
y = solution (Always unknown)
We already know the slope of the formula, so we can fill that out.
y = x + b
If it has a slope of -3/2, then that means it is moving down 3 points and moving to the right 2 points to find the next line. because rise over run.
If it passes through the point (-4, 4) then from their subtract 3 to 4, and 2 to -4.
This means the next point it will reach is (-2, 1). Once again, subtract 3 from 1, and add 2 to -2.
The next point it will reach is (0, -2) This gives us the y-intercept of the equation.
Now we can fill out the rest of the formula!
y = x -- 2