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Ira Lisetskai [31]
2 years ago
6

The minute hand on MS. Scott’s clock is 22 inches long, from the center of the clock to its edge. Approximately how far does the

minute hand travel around the clock in one hour?
Mathematics
1 answer:
GaryK [48]2 years ago
5 0

Answer:

one thousand three hundred twenty inches

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Two airplanes are flying to the same airport. Their positions are shown in the graph. Write a system of linear equations that re
wariber [46]

Answer:

Airplane #1 equation: y=5/13x+42/13

Airplane #2 equation: y=1/3x+14

Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be  y=1/3x+14.

Hope this helps

6 0
3 years ago
(- 1/2 + 3/4 ) 1/5
marta [7]
I hope this helps you



(-2/4+3/4).1/5


1/4.1/5


1/20
4 0
2 years ago
What is the equation of the line passing through the points (3,6) and (2,10)
andrezito [222]

Answer: y= - 4x+18

Step-by-step explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

m=\frac{y2-y1}{x2-x1}

3= x1

2= x2

6= y1

10=y2

m=\frac{10-6}{2-3}= \frac{4}{1}= -4

m=-4

Now we have y=-4x+b , so let's find b.

You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:

   (3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.

   (2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.

Equation of the line: y=-4x+18

3 0
3 years ago
Item 9 a flight averages 460 miles per hour. the return flight averages 500 miles per hour due to a tailwind. the total flying t
Ksenya-84 [330]

Let us say that the variables for flight is designated by 1, while the return flight by 2, since the distance travelled are equal, therefore:

v1 t1 = v2 t2

or

460 t1 = 500 t2

 

Since t1 + t2 = 4.8, therefore: t1 = 4.8 – t2

460 (4.8 – t2) = 500 t2

2208 – 460 t2 = 500 t2

960 t2 = 2208

t2 = 2.3

 

t1= 4.8 – t2 = 4.8 – 2.3

t1 = 2.5

 

Answer:

The flight took 2.5 hours while the return flight took 2.3 hours.

8 0
3 years ago
Estimate the isoelectric point of a ser–his dipeptide. explain why this value is only an estimate.
uranmaximum [27]
A dipeptide bond connects two amino acids. Ser stands for Serine while His stands for Histidine. Isoelectric point is when all charges of the two amino acids cancel out. This can be estimated by finding the average of the isoelectric points (pI) of the two amino acids.

Serine: pI = 5.68
Histidine: pI = 7.59

Average pI = (5.68 + 7.59)/2 =<em> 6.635

</em>
<em />This is only a rough estimate because an arithmetic average will not coincide with the biochemistry of the amino acids. The true value of the isolectric point is determined through experimentation. However, it would be more ore less around 6.635.<em>
</em>
3 0
3 years ago
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