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marishachu [46]
3 years ago
10

A train travels 200 miles in 4 hours at a constant rate. What is the constant rate of change for the train in miles per hour? A.

100 miles per hour B. 50 miles per hour C.300 miles per hour D. 2 miles per hour
I need help bad
Mathematics
2 answers:
AveGali [126]3 years ago
7 0
If the train is going the same speed during the 4 hours than the rate of change should be 50 miles per hour.
Sav [38]3 years ago
6 0

Answer:50 miles

Step-by-step explanation:

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Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x
egoroff_w [7]

Answer:

y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

y = 1 -2x

Rearrange into slope-intercept form:

y = -2x+1

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of \displaystyle\frac{1}{2}. Plug this into y=mx+b:

y=\displaystyle\frac{1}{2} x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle\frac{1}{2} x+b

Plug in the given point (1,3) and solve for <em>b</em>:

3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}

Therefore, the y-intercept is \displaystyle \frac{5}{2}. Plug this back into y=\displaystyle\frac{1}{2} x+b:

y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}

I hope this helps!

8 0
2 years ago
What is the slope if you have (1,1) and (-3,-2)?
Serga [27]

Given two points (X1,Y1) and (X2,Y2) on a line, the slope =(Y2 - Y1) /(X2 - X1).

You are given the points (1,3) and (3,-2). Implying X1 =1 , Y1 =3, X2=3, Y2=-2

Use the formula for the slope above to answer the question. If you still have problems getting the correct answer, ask for more help.

Your answer should be a negative fraction or decimal if you are using a calculator.

3 0
2 years ago
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URGENT!
Alina [70]
4.125 x 14 = 57.75 So 57.75 is the answer and I have to show my work
4 0
3 years ago
Round 1,627,187 to nearest ten​
MrRa [10]

Answer:1,627,190

Step-by-step explanation:

5 0
2 years ago
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119. Beatrice decides to deposit $100 per month at the end of every month in a bank with an annual interest rate of 5.5% compoun
sveta [45]

Answer:

Beatrice will accumulate $1230.72 at the end of the year.

Step-by-step explanation:

We can write:

(1+\frac{0.055}{12})=z

100=C for deposits

The first month would have only the deposit reflected in her balance, then, expanding some steps of the calculation would yield:

S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C

A geometric series is given by:

1+x+...+x^{m}=\frac{x^{m+1}-1}{x-1}

Translating our series to the short form:

S_{n}=C(\frac{z^{n}-1}{z-1} )

plugin in the values for the 12 month gives:

S_{12}=100(\frac{(1+\frac{0.055}{12})^{12} -1}{\frac{0.055}{12}})=1230.7169

3 0
3 years ago
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