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Free_Kalibri [48]

3 years ago

11

Find the equation of a line parallel to y - 5x = 10 that passes through the point (5,1)

2 answers:

xenn [34]3 years ago

8 0

Answer:

y=5x-24

Step-by-step explanation:

First step find the slope of y-5x =10

Add 5x on the right side

y=10+5x

Slope is 5

Second step plug in (5,1)into point slope form:

y-y₁=m(x-x₁)

M is 5 cause thats slope

y-1=5(x-5)

distrubte 5

y-1=5x-25

add 1

y=5x-24

weqwewe [10]3 years ago

3 0

Answer:

y = 5x - 24

Step-by-step explanation:

y - 5x = 10

y = 5x + 10

If a line is parallel, it has the same slope. m = 5:

y = 5x + b

You can plug in the (5,1) to find the y-intercept:

1 = 5(5) + b

1 = 25 + b

-24 = b

y = 5x - 24

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Rainbow [258]

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3 years ago

Sasha makes a wooden base for a sculpture with the dimensions shown. The sculpture is too heavy for the base, so she needs to ad

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Step-by-step explanation:

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8 0

2 years ago

write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

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8 0

1 year ago

PLZ HELP! I NEED ANSWER ASAP!!!! I WILL GIVE BRAINLIEST!!!!!!Two members of the Math Competition Team solve 13 problems in 1 hou

zhuklara [117]

Answer:

230

Step-by-step explanation:

4 0

3 years ago

Last year, Kevin had 20,000 to invest. He invested some of it in an account that paid 6% simple interest per year, and he invest

tester [92]

$13,000 was invested at 6% whereas $7,000 was invested at 10% using simple interest approach

What is simple interest?

Simple interest is determined as the amount invested multiplied by the interest rate and the number of years that investment lasts.

I=PRT

I=interest

P=principal

R=rate of return

T=time

Let X be the amount invested at 6%

I at 6%=6%*X*1

I=0.06X

The amount invested at 10% is 20,000-X

total interest=0.06X+0.10*(20000-X)

total interest=1,480

1480=0.06X+0.10*(20000-X)

1480=0.06X+2000-0.10X

1480-2000=0.06X-0.10X

-520=-0.04X

X=-520/-0.04

X=13,000

13,000 was invested at 6%

amount invested at 10%=20,000-X

amount invested at 10%=20,000-13,000

amount invested at 10%=7,000

Find out more about simple interest on:brainly.com/question/20690803

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4 0

1 year ago