Answer:
A) (3, 12)
Step-by-step explanation:
For such a problem, I like to use a graphing calculator. It shows the answer quickly without a lot of fuss.
_____
If you want to solve this analytically, set the difference in y-values equal to zero and solve the resulting quadratic in the usual way. This will give the x-value at which the y-values are equal. (After we find x, we still need to find y.)
... y - y = 0
... x² -2x +9 -4x = 0
... x² -6x +9 = 0 . . . . . . collect terms. Recognize this as a perfect square.
... (x -3)² = 0
... x = 3 is the solution to this
... y = 4x = 4·3 = 12
The point on each of the given curves is (x, y) = (3, 12). The line is tangent to the parabola there, so there is only one point of intersection.
the percentage = area(parallelogram)/area(rectangle).100
so
percent = (4.7)/(6.10).100 = 140/3= 46.6
Answer:
x = -3
Step-by-step explanation:
4x + 2 = x - 7
3x = -9
x = -3
Answer
IS 2/4
Step-by-step explanation:
1/3 = 4/12 1/4 = 3/12 4/12+3/12= 6/12 = 2/4
Answer:
10y mm
Step-by-step explanation:
We would need to know the conversion of cm to mm.
We know
1 cm = 10 mm
If we are given a certain amount of centimeters (cm), to get the answer in millimeters (mm), we multiply that by 10. Example:
1 cm = 10 mm
4 cm would be 4 * 10 = 40 mm
23 cm would be 23 * 10 = 230 mm
Now, we are given "y" centimeters.
So, we multiply by "10" to get the answer in millimeters.
Hence,
y * 10 = 10y millimeters (mm)
The line is 10y mm