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malfutka [58]
1 year ago
15

Use slopes and y-intercepts to determine if the lines 10x+3y=−3 and 5x−4y=−3 are parallel.

Mathematics
1 answer:
kvasek [131]1 year ago
4 0

Answer:

They are not parallel

Step-by-step explanation:

original equation

10x + 3y = -3

subtract 10x

3y = -10x - 3

divide by 3

y = -10/3x - 1

original equation

5x - 4y = -3

subtract 5x

-4y = -5x-3

divide by -4

y = 5/4x + 3/4

the slopes are not equal to each other (5/4x and -10/3x) so they are not parallel

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How to convert 3.248 repeating decimal with 48 repeating into a simplified fraction
Sonja [21]

Answer:

x=\frac{536}{165}

Step-by-step explanation:

Let X be the value of 3.2484848.... infinite times

Multiply by 100

x=3.24848....\\100x = 324.8484.....

Subtract to get

100x-x = 324.8484...-3.248484....\\99x = 321.60\\x=\frac{321.6}{99} \\x=\frac{1072}{330} \\x=\frac{536}{165}

Thus the number 3.248 repeating decimal with 48 repeating in fraction form is

\frac{536}{165}

7 0
3 years ago
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How to get the answer for2x-12y=7,x=6y+9 substitution method
beks73 [17]

Answer:

step 1. you see in the problem x = 6y + 9 substitue the equation for the x variable in the first equation. so it will be 2(6y+9) - 12y = 7

step 2. solve for y. butttt in this case it looks like it can't be solved .

Step-by-step explanation:

option 3. in the steps i provided  substituted x for x equals 6y + 9 which leads you to solve y. if you want you can rearrange 2x-12y=7 to solve for y so it would be  7-2x/-12 = 7

7 0
3 years ago
What is the equation of a line with a slope of -2 that passes the point (6,8)
Musya8 [376]

Answer:

y - 8 = -2(x - 6)

Step-by-step explanation:

Given the slope and one point on the line, we should use the point-slope formula:

y - k = m(x - h), where (h, k) is the point and m is the slope.

Here, we have y - 8 = -2(x - 6)

4 0
3 years ago
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Jovan is 15 years old. His sister is 6 years older than one-third his age. How old is Jovan’s sister?
jek_recluse [69]

Answer:

11.

Step-by-step explanation:

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Hope this helps.

4 0
3 years ago
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Two fifth graders solved 400,000 divided by 800. Carter said the answer is 500, while Kim said the answer is 5,000.
mestny [16]

Answer:

a. Carter is correct. (See explanation).

b. The quotient is 500 (The quotient of 400,000 divided by 800 and the quotient of  is 4,000,000 divided by 8,000 are equal).

Step-by-step explanation:

a. Carter is correct.

The dividend 400,000  and the divisor 800 have two zeros in common, so we can eliminate those zeros. Then:

4,000\div8

We know that the quotient obtained by dividing 40 and 8 is 5:

40\div8=5

 Since4,000 has two more zeros than 40, we must place two zeros in the quotient. Then:

=500

b. The dividend 4,000,000  and the divisor 8,000 have three zeros in common, so we can eliminate those zeros. Then:

4,000\div8

Notice that this is the same as the exercise "a". So the quotient will be the same.

Let's check. We know that:

40\div8=5

 Since4,000 has two more zeros than 40, we must place two zeros in the quotient. This is:

=500

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3 years ago
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