Answer is <span>A.
{2, 4}
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1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula
to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer:
.
This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975.
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]
=1795/185.3772
=9.683
The answer is 9.683 yd^3
Answer:
9
Step-by-step explanation:
If first odd number is x
THen next consecutive odd number is x + 2
Next one is x + 4
Now, we can write the word problem as:
![x+x+2+x+4 \leq 33](https://tex.z-dn.net/?f=x%2Bx%2B2%2Bx%2B4%20%5Cleq%2033)
Now we solve:
![x+x+2+x+4 \leq 33\\3x+6 \leq 33\\3x \leq 27\\x \leq 9](https://tex.z-dn.net/?f=x%2Bx%2B2%2Bx%2B4%20%5Cleq%2033%5C%5C3x%2B6%20%5Cleq%2033%5C%5C3x%20%5Cleq%2027%5C%5Cx%20%5Cleq%209)
So, x is less than or equal to 9, so it can be
9, 7, 5 .....
What is the maximum value of the lowest number (x)?? It is 9
ok so he is owing his sister 24 and he gives her 15
so 24-15=9
but as an addition expression it will be
x+15=24
x=24-15
x=9