Answer:
Step-by-step explanation:
First convert km to meters
143000 km = 143,000,000m = 1.43*10^8 m
Now convert 10 billion to scientific notation1 00
10 billion = 1 * 10^10
What this means is that 1 * 10^10 meters in outer space = 1 meter for the scale model.
Now show what the ratio is for
1.43*10^8
======== Divide by the denominator
1 * 10^10
1.43 * 10^(8 - 10)
1.43 * 10 ^ - 2 meters
Answer: 0.0143m or B
Answer:
16x- 20y=20
Step-by-step explanation:
20y-20y =0
so answer is 16x
<span><span>29, 31, 33, & 25. Those are all odd and if added up equal 128
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Answer:
Any line with slope 1/4 like y=1/4x -5.
Step-by-step explanation:
Parallel lines never cross and therefore have the same exact slope. Since slope intercept form is y=mx+b and m is slope, then y=1/4x+2 has a slope of 1/4. Any line with a slope of 1/4 will be parallel. Example: y=1/4x - 5
Look at the first line in the first problem.
x y
<span>–6 –6
–4 –3</span>
find the slope:
y2-y1 / x2-x1
-3+6 / -4+6
3 / 2
the slope is 3/2. now plug this into point-slope form, along with one of the ordered pairs. i'll use (-4,-3) because the numbers are smaller.
y-y1=m(x-x1)
y+3=3/2(x+4)
y+3=3/2x+6
y=3/2x+3
now do the same for the other line.
<span>x y
0 3
2 6
actually, this one's convenient, because it tells you the y-intercept is 3 (when an ordered pair has a 0 as its x coordinate, that means its on the y axis). so we just have to find the slope.
y2-y1 / x2-x1
6-3 / 2-0
3/2
the line is y=3/2x+3. it's the same line as before. that means there are infinitely many solutions, because there are an infinite amount of points where the lines "cross" each other (since they lie on top of each other).
follow the same procedure for the next problem. if the equations turn out to be the same, it has infinite solutions. if the two lines have the same slope but different intercepts, that means they're parallel, and have no solution since the lines will never intersect. if the lines have different slopes, they will have one solution. and it makes no sense for lines to intersect at two different points, so you can ignore that option altogether.
hope this helps
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