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3 years ago

For which equation is (4, 3) a solution? O y=2x-1 Oy=3x-4 Oy=2x-5 Oy= x + 3

Mathematics

2 answers:

Helen [10]3 years ago

5 0

The answer is Y=3x-4

lorasvet [3.4K]3 years ago

5 0

Answer:

Given question is incomplete; here is the complete question.

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?

y = –1/3x + 5

y = –1/3x + 3

y = 3x + 2

y = 3x − 5

Line given in the graph passes through the points (-3, 2) and (0, 1).

Slope of the given line =

m =

Let the equation of a line perpendicular to this line is,

y - y' = m'(x - x') [Given line passes through (x', y')]

By the property of perpendicular lines,

m × m' = -1

() × m' = -1

m' = 3

Equation of the perpendicular line will be,

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 5

Option (4) will be the answer.

Step-by-step explanation:

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3 years ago

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The bag to the right costs $395, it is on sale 30% for Valentine's Day. The tax rate is 8.75%. What is the final price of the ba

Afina-wow [57]

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$301.78

Step-by-step explanation:

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3 years ago

erica is making necklaces and bracelets to se at the craft show. it takes her 3 hours to make a necklace and 2 hours to make a b

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Answer:

Erica should make at least 10 necklaces and 15 bracelets to maximize her profit of P = (18 x + 15 y)

Step-by-step explanation:

Let the number of necklaces made = x

Let the number of bracelets made by Erica = y

Now, the time taken to make each necklace = 3 hrs

⇒The time taken to make x necklaces = x times 3 hours = 3x

Also, the time taken to make each bracelet = 2 hrs

⇒The time taken to make y necklaces = y times 2 hours = 2y

So, total time taken to make x necklace and y bracelets = 3x + 2y

Now selling cost of 1 necklace = $18

Also, selling cost of 1 bracelet = $15

So, total selling price of x necklace and y bracelets = 18 x + 15 y

So according to the question:

x + y = 25 ..... (1)

3x + 2y = 60 .... (2)

Solving the above system substitute y = 25- x in (1)

we get: 3x + 2y = 60 ⇒ 3x + 2(25 -x) = 60

or, x = 10

⇒ y = 25 - x = 25 - 10 = 15, or y = 15

So, she should make at least 10 necklaces and 15 bracelets to maximize her profit of P = (18 x + 15 y)

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3 years ago

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