Answer:
y=-4x+2
Step-by-step explanation:
slope intercept form: y=mx+b
parallel lines have the same slope (-4 in this case)
plug in the point (0,2) to the new equation y=-4x+b
2=-4(0)+b --> b=2
final answer: y=-4x+2
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
Step-by-step explanation:
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Answer: A.) Critical values: r= ± 0.514, no significant linear correlation
Step-by-step explanation:
r = 0.105
n = 15
The level of significance for a two-tailed test is 0.05
The degrees of freedom = n - 2 = 15 - 2 = 13
Using the pearson product moment correlation Coefficient table ; The critical value for the correlation Coefficient is ±0.513977
When the correlation coefficient (for a sample of 15 drawn from the same population) is less than ±0.514 (critical value), that means no significant linear correlation exists.
If you need an equation, than it would be 100 x 9+4
