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zhuklara [117]
3 years ago
9

What is the point slope form of Y=1/2X-2

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0
Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)

We have the next equation of line:
y=1/2 x-2  (slope-intercept form y=mx+b)

the slope of this line is 1/2  (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2  (0,-2)

Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)

Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)
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4 years ago
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When Sophia runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard devia
alukav5142 [94]

Answer: 90% of the time.

Step-by-step explanation: This is because you can add the two different times and the standard time of 75 seconds, divide it all by 3 leaving you with 75.2 and that is 0.2 away from the original between those times all together. Take that 0.2 and subtract it from the 1.1 deviation and you’ll get 0.9 times that by 100 and you get it in a percentage; 90%.

3 0
4 years ago
Taivon is training for a duathlon, which is a race that consists of running and cycling. The cycling leg is longer than the runn
Zina [86]

Answer:

A. Taivon runs 0,285 miles for every mile he rides his bike.

B. Yes

C. No

Step-by-step explanation:

So, Taivon is running 4 miles for every 14 miles he rides his bike. We can identify a ratio of 4:14. However, both numbers have a common multiple and can be reduced to 2:7; saying that taivon runs 4 miles for every 14 miles he rides his bike is the same to say he runs 2 miles for every 7 miles he rides his bike. To find the value of this ratio, we simply divide 2 miles that Taivon runs between 7 miles he rides his bike. The value of the ratio of miles he runs for miles he rides his bike is 0,285.

Once Taivon finished his training the ratio between the of total number of miles he ran to total number of miles he cycled was 80: 280. This is consistent with his training schedule, because if we divide 80 between 280, we obtain the same value of ratio previously calculated: 0,285. This means also that the total number of miles he ran and the miles he runs on one session are multiples; the same applies for the total number of miles he rode and the miles he rides on one session. If we divide 80 between 4, we obtain 20. Furthermore, if we multiply 20 times 14, we obtain 280.  We can conclude then that Taivon trained 20 days in preparation to the Duathlon.

In one training session, Taivon ran 4 miles and cycled 7 miles. The ratio of the distance he ran to the distance he cycled in this session changes and for this session is 0,571. This training session does not represent an equivalent ratio of the distance he ran to the distance he cycled, since he actually fell short in the cycling by 7 miles to his usual 14 miles riding the bike.

3 0
3 years ago
Subtraction with renaming 9 3/8 - 8 7/8 <br> please help me
BaLLatris [955]
Converting 9 3/8 to an improper fraction is 75/8. Converting 8 7/8 to an improper fraction is 71/8. Subtracting these, we get 75/8 - 71/8 = 4/8 = 1/2.
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Hope this helps!
7 0
3 years ago
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