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3 years ago

Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point

1 answer:

7 0

Y - 3x = -8
y = 3x - 8...slope here is 3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/3.

y = mx + b
slope(m) = -1/3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b

so ur perpendicular equation is : y = -1/3x + 3

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Mrs Nu paid $2083 for 2 smiler laptops and 3 similar earphones. Each laptop cost of each earphones?

tresset_1 [31]

The information given is incomplete :

Answer:

x = 1/2(2083 - 3y)

y = 1/3(2083 - 2x)

Step-by-step explanation:

Let

Laptop cost = x

Earpiece cost = y

Number of laptops= 2

Number of earpiece = 3

2x + 3y = $2083

The cost per laptop :

2x = 2083 - 3y

Divide both sides by 2

x = (2083 - 3y) / 2

x = 1/2(2083 - 3y)

3y = 2083 - 2x

y = (2083 - 2x) / 3

y = 1/3(2083 - 2x)

3 0

3 years ago

What is the answer for -4.8n=13

Shtirlitz [24]

[] Answer []

$\boxed{N \ = \ -\frac{65}{24} }$

[] Explanation []

-4.8n = 13

====================

Multiply Both Sides By 10:

-4.8n * 10 = 13 * 10

Refine:

-48n = 30

Divide Both Sides By -48:

$\frac{-48n}{-48}$ = $\frac{130}{-48}$

Simplify:

N = $-\frac{65}{24}$

$\boxed{[] \ Eclipsed \ []}$

8 0

3 years ago

What is the equation of the following line written in general form?

stiks02 [169]

Answer:

The correct answer is b) x - y + 1 = 0

Step-by-step explanation:

In order to find this, start by finding the slope using the two points given.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - 2)/(4 - 1)

m = 3/3

m = 1

Now that we have the slope, we can plug into point slope form along with either point. Then we can solve for 0 to see which equation is correct.

y - y1 = m(x - x1)

y - 2 = 1(x - 1)

y - 2 = x - 1

-x + y - 2 = -1

-x + y - 1 = 0

x - y + 1 = 0

4 0

3 years ago

Find "both" answers

Eva8 [605]

Answer:

Please check the explanation!

Step-by-step explanation:

Finding the slope:

Taking two points to find the slope of the linear function

(2, 10)

(3, 13)

Slope = m = y₂-y₁ / x₂-x₁

= (13-10) / (3-2)

= 3 / 1

= 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

= 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

RESULT

From the above calculations, we conclude that:

Slope = 3

The common difference between consecutive terms of the arithmetic sequence = 3

The difference between the terms a₂ and a₄ = 6

The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3

8 0

3 years ago

Find the GCF of 38, 76, and 114.

valentina_108 [34]

Answer:

GCF = 38

Step-by-step explanation:

38 = 2×19

76 = 4×19 = 2²×19

114 = 2×3×19

GCF = 2×19 = 38

3 0

3 years ago