The axis of symmetry of f(x) is:
On a coordinate plane, a vertical dashed line at (2, 0) is parallel to
the y-axis ⇒ 2nd answer
Step-by-step explanation:
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where
- (h , k) are the coordinates of its vertex point
- The axis of symmetry of it is a vertical line passes through (h , 0)
- The minimum value of the function is y = k at x = h
∵ f(x) = a(x - h)² + k
∵ f(x) = (x - 2)² + 1
∴ a = 1 , h = 2 , k = 1
∵ The axis of symmetry of f(x) is a vertical line passes through (h , 0)
∴ The axis of symmetry of f(x) is a vertical line passes through (2 , 0)
∵ Any vertical line is parallel to y-axis
∴ The axis of symmetry of f(x) is a vertical line parallel to y-axis and
passes through (2 , 0)
The axis of symmetry of f(x) is:
On a coordinate plane, a vertical dashed line at (2, 0) is parallel to
the y-axis
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Answer:
The answer to your question is: 20°
Step-by-step explanation:
Data
m∠XZY = 40
m∠XZB = 20
Process
1.- Find the measure of ∠ XAB
∠XAB = 40° because AB ║ YZ
2.- Find the measure of ∠ZAB
∠ZAB + ∠XAB = 180
∠ZAB = 180 - ∠XAB
∠ZAB = 180 - 40
∠ZAB = 140°
3.- Find the measure of ∠ABZ
The sum of the internal angles in a triangle equals 180°
∠AZB + ∠ZAB + ∠ABZ = 180
20° + 140° + ∠ABZ = 180
∠ABZ = 180 - 20 - 140
∠ABZ = 20°
Answer:
1) N = 2. 2) -7/3
Step-by-step explanation:
1)
6 = 3n
6/3 = n
2 = n
n = 2
2)
-3 = 3t + 4
3t + 4 = -3
3t = -3 - 4
3t = -7
T = -7/3
Answer:
3 < x < 17
Step-by-step explanation:
Given 2 sides then the possible range of the third side x is
difference of 2 sides < x < sum of 2 sides , that is
10 - 7 < x < 10 + 7
3 < x < 17
Answer:
10 years and 10 months.
Step-by-step explanation:
The annually interest rate (ia) can be converted by monthly (im) by the equation:
(1 + im)¹² = 1 + ia
(1 + im)¹² = 1 +0.01
(1 + im)¹² = 1.001 (putting ln in both sides)
ln(1 + im)¹² = ln1.001
12*ln(1 + im) = 1.0x10⁻³
ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)

1 + im = 1.00083
im = 0.00083 = 0.083%
For a investimenting, the final amount (A) can be calculated by:

Where R is the amount invested per month, i is the interest, and n the number of months:
160000 = 400 *
= 400
1.00083ⁿ - 1 = 0.332
1.00083ⁿ = 1.332 (applying ln in both sides)
n*ln1.00083 = ln1.332
8.3x10⁻⁴n = 0.2867
n = 345.4 months
345.4 months *1 yea12 months = 10 years and 10 months.