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Alekssandra [29.7K]
4 years ago
7

What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y=x/3−1 ?

Mathematics
1 answer:
vredina [299]4 years ago
7 0

Answer:

y = -3x + 14

Step-by-step explanation:

y=x/3−1

The slope of the perpendicular line is the reciprocal of the given equation.

Given is 1/3x. Perpendicular slope is m=-3x

Substitute the perpendicular slope and the point (4,2) in an equation

y = mx + b

2 = -3(4) + b

2 = -12 + b

Find b by isolating

b = 2+12

b = 14

Substitute the slope -3x and b=14 to find the equation of the line.

y = mx + b

y = -3x + 14

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If y= 1/5 when x=3, find y when x=4, given that y varies directly with x
lisov135 [29]

Answer:

<h2>y =  \frac{4}{15}</h2>

Step-by-step explanation:

To find y when x=4, we must first find the relationship between them

The statement

y varies directly with x is written as

<h3>y  \:  \:  \:  \alpha  \: \:   \: kx</h3>

where k is the constant of proportionality

From the question

when y = 1/5

x = 3

Substitute the values into the above formula and solve

That's

<h3>\frac{1}{5}  = 3k \\ 15k = 1 \\ k =  \frac{1}{15}</h3>

So the formula for the variation is

<h3>y =  \frac{x}{15}</h3>

From the question

when x = 4

<h3>y =  \frac{4}{15}</h3>

Hope this helps you

5 0
3 years ago
ANYONE GOOD AT MATH NEED HELP ON THIS QUESTION?!!
Dvinal [7]

Answer:

There are a total of twelve possible outcomes. This is because flipping a coin has two possible outcomes (either heads or tails) and rolling a number cube has 6 of them (1-6) so 2 times 6 is 12.

If you want to draw a tree diagram, first split your tree into two branches, one for heads and one for tails. Then, split both branches into 6 sub-branches each, so each branch has a full set of numbers from 1-6.

Or you can do it the other way around, first split your tree into 6 branches, then split all branches into 2 sub-branches each.

hope this helps :)

7 0
2 years ago
Seven more than double a number one is equal to five less than triple that number. What is that number?
Inga [223]

Answer:

-\frac{2}{5}

Step-by-step explanation:

7+2n=5-3n

2n+3n=5-7\\5n=-2\\n=-\frac{2}{5}

6 0
3 years ago
What is 1/4 ÷ 1/ 8?<br>​
Tcecarenko [31]

Answer:

2

Step-by-step explanation:

To divide fractions, <em>skip, flip, and multiply</em>:

\frac{1}{4} / \frac{1}{8}=\frac{1}{4}*\frac{8}{1}

To multiply fractions, multiply the tops and bottoms:

\frac{1}{4}*\frac{8}{1} = \frac{1*8}{4*1} =\frac{8}{4} =2

8 0
3 years ago
Suman made a cardboard box in the form of a cube without lid if the total surface area of this box was 180 square cm what are th
Arisa [49]

Answer:

6cm

The dimensions are 6cm x 6cm x 6cm

Step-by-step explanation:

Surface area of a cube = 6a²

where a = edge

but because this cube isn't covered, the sides would by 5 and not 6

5a² = 180cm²

divide both sides by 5

a² = 36cm²

Find the square root of each side

a = 6cm

The dimensions are 6cm x 6cm x 6cm

6 0
3 years ago
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