Answers:
- x = 21.25
- y = 22.5
- z = 23.75
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Work Shown:
AP = arithmetic progression, which is the same as arithmetic sequence
d = common difference
- x = 20+d
- y = 20+2d
- z = 20+3d
Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.
So that must mean 25 is the same as 20+4d
20+4d = 25
4d = 25-20
4d = 5
d = 5/4
d = 1.25
and therefore,
- x = 20+d = 20+1.25 = 21.25
- y = 20+2d = 20+2*1.25 = 22.5
- z = 20+3d = 20+3*1.25 = 23.75
We could convert these to fraction form, but I find decimal form is easier in this case.
The required equation is y=8×(
Step-by-step explanation:
Given,
The two points are (1,2) and (0.5,4)
To find the exponential equation of these given points.
Formula
The general form of exponential equation is y =
where, A and B are any real number.

Now, the points satisfy the equation.
So,
2 =
------- (1) and
4 =
------ (2)
Now (1) ÷ (2) we get,
= 
or,
= 
or, b =
[ by squaring we get]
Now, from (1) we get,
2 = a×
or, a = 8
Hence,
The equation is y=8×(
Answer:
(x - 3)² + (y + 3)² = 9
Step-by-step explanation:
x–y = 6 y = x - 6
y intercept x = 0 y = -6 (0 , -6)
x intercept y = 0 x = 6 (6 , 0)
if circle center is on line x - y = 6 and tangent to both x and Y axis
the distance from center to X axis and Y axis should be equal, it's the mid-point of segment of x intercept and y intercept
center (h , k) h = (0 + 6) / 2 = 3 k = (0 + (-6)) / 2 = -3
center (3 , -3) radius = 3
Equation of circle: (x - h)² + (y - k)² = r² (x - 3)² + (y + 3)² = 9
Answer:
Step-by-step explanation:
a + b = 3b
a = 3b - b
a = 2b
a/b = 2/1
a:b = 2:1