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Molodets [167]
3 years ago
8

What is the equation of a line that contains the point (2,-5) and is parallel to the line y=3x-4

Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer:

\large\boxed{y=3x-11}

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===================================\\\\y=3x-4\to m_1=3\\\\\text{Therefore}\ m_2=3.\\\\\text{We have the equation:}\ y=3x+b.\\\\\text{Put the coorsdinates of the point (2, -5) to the equation of the line}\\\\-5=3(2)+b\\-5=6+b\qquad\text{subtract 6 from both sides}\\-11=b\to b=-11

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the doctor recommended that Matt increase the number of calories you consume from 2000 to 2800 by what percent did the number of
nikdorinn [45]

Answer:

40% number of calories have increased

Step-by-step explanation:

Old Value ( Calories consume before)  = 2000

New Value (increase in Calories consumed) = 2800

We need to find by what percent did the number of calories increase ​

To find percent increase, the formula used is:

Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100%

Putting values in formula and finding percent increase

Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100\%\:\\Percent\: increase=\frac{2800-2000}{2000}\times 100\%\: \\Percent\: increase=\frac{800}{2000}\times 100\%\: \\Percent\: increase=0.4\times 100\%\: \\Percent\: increase=40\%

So, 40% number of calories have increased

8 0
3 years ago
In this graph what is the slope of the line?
sashaice [31]

Answer:

The slope of the line is 10

Step-by-step explanation:

To find the slope, simply identify 2 points on the line. I chose: (1,10) and (2,20)

20-10=10

2-1=1

The slope of the line is 10

To check this answer, just multiply X with 10 and you will always get Y!

7 0
3 years ago
Elvira is comparing prices between two different suppliers of fresh lettuce. Val’s Veggies charges $250 for delivery plus $1.50
ad-work [718]

Answer:

61 bags of lettuce

Step-by-step explanation:

Let's create two equations representing the cost of bags of lettuce:

Val's Veggies: 250 + 1.50x = V

Sally's Salads: 100 + 4.00x = S

If you buy 60 bags of lettuce from either store, the answers will be equivalent:

If x = 60

250 + 1.50x = V

250 + 90 = V

340 = V

100 + 4.00x = S

100 + 240 = S

340 = S

Now that both equations are equivalent, all we need to do to tip the balance and make Val's Veggies cheaper is purchase one more bag of lettuce:

x = 61

250 + 1.50x = V

250 + 91.50 = V

341.50 = V

100 + 4.00x = S

100 + 244 = S

344 = S

Since V represents the price of a bag of lettuce at Val's Veggies and V is now less than S (Sally's Salads), Val's Veggies is now the cheaper option.

Therefore, 61 bags of lettuce must be purchased in order for Val's Veggies to be the cheaper option.

7 0
3 years ago
The difference of five times a number and one is 24 find the number
dimaraw [331]
<h2>Answer:</h2><h2>let number be x</h2><h2>Step-by-step explanation:</h2><h2>5x - 1 = 24</h2><h2>5x = 25</h2><h2>x = 5</h2>
3 0
3 years ago
A protective cover for a wireless tablet has a height of 8 inches and base of 7 inches. What is the area of the cover?
RUDIKE [14]
So to find the answer of the area, you have to multiply 7 and 8 which would equal to 56.
6 0
3 years ago
Read 2 more answers
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