Answer:
Step-by-step explanation:
2(2x+7) = 6x-8
4x + 14 = 6x - 8
2x = 22
x = 11
m<XYZ = 58
m<XYW = 29
No they don't lie on the same line because all coordinate points would be at different distances from the origin. The only way a point could be at the same line as the others would be they would have to have the same x- or y- axis points. (For example: 6,5; 3,5; and 2,5 would all be on the same line, horizontally, because the 5 in all three coordinates refers to the y- axis aka the horizontal axis
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
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Answer: 10.16 centimeters are in 4 inchs
Step-by-step explanation:
