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3 years ago

Which is an equation of the line through (-1,-4) and parallel to the line 3x + y = 5?

Mathematics

1 answer:

Mariulka [41]3 years ago

3 0

Answer: y = -3x -7 or 3x + y = -7

Step-by-step explanation:

For two lines to be the same, they need to have the same slopes but different y-intercepts. First convert the equation 3x+y =5 into slope intercept form.

3x + y = 5 subtract 3x from both sides

-3x -3x

y = -3x + 5 in this case we know that the slope is -3 and the y-intercept is 5.

Now since they will have the same slope input the x and y coordinates and find the equation that will be parallel to it.

-4 = -3(-1) + b

-4 = 3 +b

-3 -3

b= -7

Since the y intercept is -7 the equation will be y = -3x -7 or 3x + y = -7

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Triangle PQR has vertices , , and . It is translated according to the rule . What is the y-value of ?

steposvetlana [31]

Answer:

-10 is the correct answer to the given question .

Step-by-step explanation:

Missing information:

Following question is incomplete there is no information about the vertices and the rules .Following are the complete question that is mention below

Triangle PQR has vertices $P(-2, 6), \ Q(-8, 4), and\ R(1, -2).$ It is translated according to the rule $(x, y)\ -> \ (x\ - \ 2, y\ - 16)$ . What is the y-value of P'?

Now coming to the solution as already mention in the question

The translated rule is $(x, y)\ -> (x - 2, \ y -16).$

Now calculated the vertices P value according to the rule of translated

$P(-2, 6)\\Now \ apply \ the\ translated\ rule \ in\ P\ vertices\\P(-2, 6)->P1(-2-2,\ 6-16)\\P1->(-4,-10)$

So -10 is the value of y in P vertices .

6 0

4 years ago

Read 2 more answers

Mrs Vargas is 4 years less than 4times her daughter anas age. Mrs Vargas son Leo is 3years more than two times Ana's age.If Ana

shusha [124]

Answer: 2a - 7

<u>Step-by-step explanation:</u>

Ana: a

Mrs Vargas: 4a - 4

Leo: 2a + 3

Mrs Vargas - Leo

= (4a - 4) - (2a + 3)

= 4a - 4 -2a - 3

= 2a - 7

5 0

3 years ago

Find the value of PT PT = 5x + 3 and TQ 7x - 9

77julia77 [94]

Is there anything more to this question? Like are PT and TQ equal?

5 0

3 years ago

Read 2 more answers

Yolanda is buying supplies for school. She buys n packages of pencils at $1.10 per package and m pads of paper at $2.30 each. Wh

Nikitich [7]

The first answer is C
The second answer is C
The third answer is B

Hope this helps!

8 0

3 years ago

If a,b, and c are prime numbers, do (a+b)(a+b) and cc have a common factor that is greater than 1?

Tanya [424]

Answer:

1. Information is not sufficient

2. Information is not sufficient

Step-by-step explanation:

Question Modified

If a,b, and c are prime numbers, do (a+b) and c have a common factor that is greater than 1?

(1) a,b, and c are all different prime numbers

(2) c≠2

Explanation

1. Let's assume values of 1,3 and 5 to a, b, and c respectively

a + b = 1+3 = 4

4 and 5 do not have any common factor aside 1

Let's assume values of 1,3 and 2 to a,b and c respectively

a + b = 1+3 = 4

4 and 2 have a common factor of 2

So, the available information is not sufficient

Let's assume values of 2,7 and 3 to a b and c response

a + b = 2 + 7 = 9

9 and 3 have a common factor of 3

Also, let's assume values of 2,7 and 5 to a, b and c

a + b = 2 + 7 = 9

9 and 5 do not have a common factor

So, the available information is also not sufficient to answer the question.

3 0

4 years ago

Which is an equation of the line through (-1,-4) and parallel to the line 3x + y = 5? ​

Which is an equation of the line through (-1,-4) and parallel to the line 3x + y = 5?