Answer:
The ordered pair that describes the location of K' is (5,4).
Step-by-step explanation:
Reflection over the x-axis:
When a point is reflected over the x-axis, it's x-coordinate stays the same, while the signal of the y-coordinate is changed. So
(x,y) -> (x,-y)
In this question:
Point K(5,-4)
Reflection over the x-axis:
(5,-4) -> (5,-(-4)) -> (5,4)
The ordered pair that describes the location of K' is (5,4).
Y = a sin b x
amplitude = a
period = 2π /b.
<span>y = 6 sin x
a = 6
b = 1
</span>
a, the amplitude, represents the highest point a graph reaches;
a = 6
The period represents the length of a cycle-
the period = 2π /b = 2π/1 = 2π
-1 - 8 / 2 + 1 = -9 / 3 = -3
-1 = -3(2) + b
-1 = -6 + b
Add 6 to both sides.
5 = b
y = -3x + 5
Answer: Choice B) 3 years
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Explanation:
The simple interest formula is
i = P*r*t
where,
i = interest
P = principal
r = interest rate in decimal form
t = time in years
In this case,
i = 840
P = 7000
r = 0.04 (move the decimal point 2 spots to the left go to from 4% to 0.04)
t = unknown; we'll leave it as t
Plug the given values above and solve for, or isolate, t
i = P*r*t
840 = 7000*0.04*t
840 = 280*t
840/280 = 280*t/280
3 = t
t = 3
It will take 3 years
4(28) = 4(20) + 4(8)
The answer is 8
Because 28 is 20 and 8
