Answer:
- geometric sequence with initial value 20 and common ratio 1/2
- average rate of change on [1, 3] = -7.5
Step-by-step explanation:
(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.
(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...
... (2-1, 10/(1/2)) = (1, 20)
Thus, we have enough information to determine the average slope between n=1 and n=3.
... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5
Answer:
6 units
Step-by-step explanation:
Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.
To find: Length of GH.
Sol: EC = CH = 9 (Radius of the same circle are equal)
Now, GC = GH + CH
GC = GH + 9
Now In ΔEGC, using pythagoras theorem,
......(ΔEGC is a right triangle)
Now, Let GH = <em>x</em>
On rearranging,
So x = 6 and x = - 24
∵ x cannot be - 24 as it will not satisfy the property of right triangle.
Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.
Complete Question
What is the area of the parallelogram?
Slant Height = 21 cm
Height = 15 cm
Base = 20 cm
Answer:
300cm²
Step-by-step explanation:
The formula for the area of the parallelogram = Base × Height
Base = 20cm
Height = 15cm
Area = Base × Height
= 20cm × 15cm
= 300 cm²
Therefore, the area of the parallelogram is 300 cm²
Answer:
48 (i might be wrong)
Step-by-step explanation:
180-66-66=48
The equation is base area x height so is 11/4 x 4 x 3 1/4 = 35.75
