All categories

2 years ago

Write an equation for the line that passes through the given point and is perpendicular to the graph of the given equation.

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

3 0

Answer:

y + 2 = - 3/2(x - 4)

Step-by-step explanation:

Given line:

y + 4 = 2/3(x - 2)

It has a slope of 2/3.

Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:

m = - 3/2

Find its equation provided it passes through the point (4, - 2):

y - (-2) = - 3/2(x - 4)
y + 2 = - 3/2(x - 4)

You might be interested in

Mike, a Salvation Army bell ringer, has 20% as many quarters as nickels in his cup. If Mike has $6.00 in quarters and nickels, h

weeeeeb [17]

It is 60% which is 3$ and 40% of quarters

3 0

3 years ago

I really need help for this geometry question, I would appreciate any help thank you.

Lynna [10]

Answer:

Step-by-step explanation:

In a 30 60 90 triangle the shortest side is considered to be half the hypotenuse. So in this case, 10 is the hypotenuse and 10/2 = 5.

7 0

3 years ago

1. Manufacturing Process Incorporation plan to produce a new ergonomic chair. Before the company starts producing this chair the

Oduvanchick [21]

Answer:

1. cost per chair: $86.40

2. selling price per chair: $146.88

Step-by-step explanation:

1. The total cost per chair will be the sum of the cost of materials and the overhead cost (equipment, energy, labor, marketing). The cost of materials is ...

$500/(16 chairs) = $31.25/chair

So, the total cost is ...

cost of each chair = material cost + overhead cost

= $31.25 +55.15

cost of each chair = $86.40

2. We assume the markup is 70% of the cost, so will be ...

0.70 · $86.40 = $60.48

Then the selling price of the chair will be ...

selling price = cost + markup

selling price = $86.40 +60.48

selling price = $146.88

3 0

3 years ago

If 8 pieces of rope are cut into 1/3 lengths how many pieces are there?

Luden [163]

8÷1/3=24 so the answer is C

5 0

3 years ago

Read 2 more answers

Write an equation in standard form that is parallel to the line y = 2x - 1 that passes through the point (1, 2). 2x - y = 0 O x

timofeeve [1]

Answer:

2x - y = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 1 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (1, 2) into the partial equation

2 = 2 + c ⇒ c = 2 - 2 = 0

y = 2x ← equation in slope- intercept form

Subtract y from both sides

0 = 2x - y , that is

2x - y = 0 ← equation in standard form

5 0

3 years ago