What is the area of the composite figure?
1 answer:
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Answer:
C. 2
Step-by-step explanation:
Cohen's d is a parameter used to express the standardised difference between two means. It is defined as the difference between the means divided by the pooled standard deviation.
In this case, the difference between both means (M2-M1) is 8. As for the pooled standard deviation, simply take the square root of the given pooled variance:
Therefore, the value of Cohen's d (d) is:
Answer:
The coordinates of the turning point are (2, -9)
Step-by-step explanation:
The coordinates of the turning points of the quadratic equation
y = ax² + bx + c, are (h, k), where
- h =
- k is the value of y at x = h
∵ The equation of the curve is y = x² + bx + c
→ By comparing it with the form above
∴ a = 1
∵ The point (0, -5) lies on the curve
→ Substitute x by 0 and y by -5 in the equation to find the value f c
∵ -5 = (0)² + b(0) + c
∴ -5 = 0 + 0 + c
∴ -5 = c
→ Substitute it in the equatin
∴ y = x² + bx - 5
∵ The point (5, 0) lies on the curve
→ Substitute x by 5 and y by 0 in the equation to find the value f c
∵ 0 = (5)² + b(5) - 5
∴ 0 = 25 + 5b - 5
→ Add the like terms in the right side
∴ 0 = 20 + 5b
→ Subtract 5b from bth sides
∵ 0 - 5b = 20 + 5b - 5b
∴ -5b = 20
→ Divide both sides by -5 to find b
∴ b = -4
→ Substitute it in the equatin
∴ y = x² - 4x - 5
∵ a = 1 and b = -4
→ Substitute them in the rule of h above t find it
∵ h = =
∴ h = 2
→ To find k, substitute x by 2 and y by k
∵ k = (2)² - 4(2) - 5
∴ k = 4 - 8 - 5
∴ k = -9
∴ The cordinates of the turning point are (2, -9)