<span>A.
x 7 14 28 35
y 1 2 4 5
There is a rule of y = x ÷ 7. (:
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It is biased, the personal opinion of the person making the inquiry is tainting the views and responses of the students.
Answer:
P(-3) = -1
Step-by-step explanation:
So just substitute the value of x in the equation:
Value of x is (-3)
So:
P(x) = -2(1 - x)2 +5
P(-3) = -2(1-(-3)) 2 + 5
P(-3) = -2(4) 2 + 5
P(-3) = -8 + 2 + 5
P(-3) = -6 + 5
P(-3) = -1
Answer:
Option D. 8 units
Step-by-step explanation:
The given question is incomplete: here is the complete question.
Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, GJ, is drawn from the right angle to the hypotenuse.
What is the length of GJ?
A. 2 units
B. 4 units
C. 6 units
D. 8 units
ΔFGH in the figure attached, is a right isosceles triangle.
m∠G = 90° and hypotenuse FH = 16 units
GI is an altitude drawn from point G to the hypotenuse.
Since this triangle is an isosceles right triangle, measure of ∠F and ∠H will be equal.
m∠F + m∠G + m∠H = 180°
m∠F + 90° + m∠F = 180°
2m∠F = 180°- 90°
2m∠F = 90°
m∠F = 45°
GJ is an altitude which will divide the hypotenuse in two equal parts. (By the property of a right isosceles triangle)
FJ ≅ GJ ≅ 8 units
Now in right triangle GJH,
tan H = 
tan 45° = 
1 = 
GJ = 8 units
Therefore, length of altitude GJ will be 8 units.
Answer:
Please see the attached image for detailed step by step reasoning.