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lisabon 2012 [21]
2 years ago
6

Find the slope of a line parallel to the line whose equation is 3Y- 5x =15

Mathematics
1 answer:
Vanyuwa [196]2 years ago
4 0

Answer:

The slope is 5/3

Step-by-step explanation:

3y-5x=15 turned into a slope intercept form is y=5/3x+5.

5/3 is the slope part of this equation.

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Katelyn is training for a marathon. This week she ran 6 miles less than 2 times the number of miles she ran the previous week. S
Kobotan [32]

Answer:

The system of Equations =

r = 2p - 6........ Equation 1

r + p = 42 ........Equation 2

Hence:

the number of miles she ran this week = r = 26 miles

the number of miles she ran the previous week = p = 16 miles

Step-by-step explanation:

Let the number of miles:

the number of miles she ran this week = r

the number of miles she ran the previous week = p

Katelyn is training for a marathon. This week she ran 6 miles less than 2 times the number of miles she ran the previous week.

r = 2 × p - 6 miles

r = 2p - 6........ Equation 1

She ran a total of 42 miles in the two weeks.

r + p = 42 miles

r + p = 42 ........Equation 2

Which system of equations can be used to find the number of miles she ran this week, r, and the number of miles she ran the previous week,p?

The system of Equations =

r = 2p - 6........ Equation 1

r + p = 42 ........Equation 2

We substitute 2p - 6 for r in Equation 2

2p - 6 + p = 42

3p = 42 + 6

3p = 48

p = 48/3

p = 16 miles

Solving for r

r = 2p - 6........ Equation 1

r = 2(16) - 6

r = 32 - 6

r = 26 miles

Hence:

the number of miles she ran this week = r = 26 miles

the number of miles she ran the previous week = p = 16 miles

7 0
3 years ago
Find m<br> …………….. ………….. …………..
xz_007 [3.2K]

Answer:

Hope this helps I'm not sure if its correct though, it must be correct anyway. So yea.

7 0
3 years ago
HELP!!!!!! I believe its B but I am not sure! :(
n200080 [17]

Answer:

A

Step-by-step explanation:

When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

e^{4x-1} =3

We begin by applying the natural logarithm to each side.

ln(e^{4x-1}) =ln(3)

Log rules allow use to rearrange the exponent as multiplication in front of the log.

(4x-1)ln(e) =ln(3)

ln e as an inverse simplifies to 1.

(4x-1)(1)=ln(3)

We now apply the inverse operations for subtraction and multiplication.

4x-1+1=1+ln(3)\\4x=1+ln(3)\\\frac{4x}{4} =\frac{1+ln3}{4} \\x =\frac{1+ln3}{4}

Option A is correct.

5 0
3 years ago
Simplify the expression: 4(10 + 6u)
Marianna [84]

Answer:

24u + 10

Step-by-step explanation:

first rearrange the terms

4(10+6u)

4(6u+10)

then distribute the 4

4(6u) = 24u

4(10) = 10

then you get 24u + 10

7 0
3 years ago
Read 2 more answers
What is the equation to find the slope <br> m=
DiKsa [7]

Answer:

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

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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