Which equation represents the line that passes through the point (7, -12) and is perpendicular to the y-axis?
1 answer:
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Answer: 75/7 or 10.71 (rounded)
Step-by-step explanation:
Mean = Average
To find the average you should add all the numbers together and then divide it by the amount of numbers.
In this question, the formula is
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The list of the first 7 odd prime numbers:
3, 5, 7, 11, 13, 17, 19
Now, add them together
3+5+7+11+13+17+19=75
Divide the sum by 7
75÷7=75/7=10.71 (rounded)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
I suspect it can = 0 when the roots are solved for.
x = 10.44 which is the only positive root. There is another one, but I think it gives a minus number for the white area.
Step-by-step explanation:
There are two areas that are possible given the dimensions of the two rectangles. The trick is to find both of them. and compare.
Step One
Find the area of the inside rectangle (unshaded area)
Area = (2x - 1)*x Use the distributive property to find the area
Area = 2x^2 - x
Step Two
Find the area of the outside of the frame
Area = (x + 5)(x + 3) Remove the brackets using FOIL
Area = x^2 + 5x + 3x + 15
Area = x^2 + 8x + 15
Step Three
Find the area of the shaded region
Area shaded = x^2 + 8x + 15 – (2x^2 – x) Remove the brackets
Area shaded = x^2 + 8x + 15 – 2x^2 + x Combine like terms
Area shaded = x^2 + 9x + 15 - 2x^2
Area shaded = -x^2 + 9x + 15
Step Four
Find the roots of the quadratic.
a = -1
b = 9
c = 15
Using the quadratic formula, and substituting for a b and c, we get
There is only 1 value that works for this problem and that is when x = 10.44
