Answer:
A kilometer is 10⁶ times as large as a millimeter.
Step-by-step explanation:
In the metric system first we have: millimeter, centimeter, decimeter and meter. Each one of these is 10 times the other (1 centimeter is 10 millimeter, 1 decimeter is 10 centimeter, 1 meter is 10 decimeter). Therefore, 1 meter is 10x10x10 millimeter = 1 meter is 1000 millimeters.
But we know that 1 km is 1000 meters,
Therefore, 1 km = 1000 meter = 1, 000,000 milimeter = 10⁶ milimeter
So then, we have that 1 kilometer is 10⁶ as large as a milimeter.
Answer:
The answer to your question is y = 2x + 11
Step-by-step explanation:
Data
Original line y = -(1/2)x + 5
Point (-4, 3)
Process
1.- Get the slope of the new line
- Slope of the original line = -1/2
If the lines are perpendicular, the slopes must be reciprocal
-1/2 reciprocal = 2
2.- Get the equation of the new line
y - y1 = m(x - x1)
y - 3 = 2(x + 4)
- Simplification
y - 3 = 2x + 8
- Solve for y
y = 2x + 8 + 3
y = 2x + 11
Answer:
58.1 and 31.9 degrees
Step-by-step explanation:
x + other angle = 90 because complementary angles add up to 90
x = the angle
x = 26.2 more than the other angle
subtract 26.2 from both sides
x - 26.2 = other angle
x + other angle = 90
plug x - 26.2 for other angle
x + (x-26.2) = 90
2x - 26.2 = 90
add 26.2 to both sides to isolate the variable and its coefficient
2x = 116.2
divide both sides by 2 to find x
x = 58.1
other angle = x - 26.2 = 31.9
Answer:
aₙ = 0.2(-0.3)⁽ⁿ⁻¹⁾
Step-by-step explanation:
The geometric sequence with the first term a, a common ratio r has the nth term given as
Tₙ = arⁿ⁻¹
where Tₙ is the nth term
From the given sequence
a = 0.2
r = -0.06/0.2
= -0.3
Hence the nth term
= 0.2 * -0.3ⁿ⁻¹
The right option is E
