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Artist 52 [7]
4 years ago
15

Passing through (-6,-1) and parallel to y=-2/3x +1

Mathematics
1 answer:
zheka24 [161]4 years ago
5 0

Hello!

To find the line parallel to the line y = -2/3x + 1 and passing through the point (-6, -1), we will need to know that if two lines are parallel, then their slopes are equivalent to each other.

Since we are given the slope, we need to find the y-intercept of the line. We can find the y-intercept by substituting the point (-6, -1) into a new equation with the slope of m = -2/3. Remember that slope-intercept form is y = mx + b.

y = -2/3x + b (substitute the ordered pair)

-1 = -2/3(-6) + b

-1 = 4 + b (subtract 4 from both sides)

-5 = b

Therefore, the equation of the line passing through the point (-6, -1) and parallel to y = -2/3x + 1 is y = -2/3x - 5.

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A record club has found that the marginal​ profit, Upper P prime (x )​, in​ cents, is given by Upper P prime (x )equals negative
Oduvanchick [21]

Answer:

The total profit when 240 members are enrolled is:

3,587,212.8 cents

Step-by-step explanation:

First of all, the total profit function is gotten by integrating the marginal profit function.

Integrate thus:

Total Profit = P(x) = [-0.0008x^4 ÷ 4] + [0.35x^3 ÷ 3] + [45.5x^2 ÷ 2]

P(x) = 0.0002x^4 + 0.1167x^3 + 22.75x^2

Next, substitute 240 for x, in the total profit function.

P(x) = 0.0002[240]^4 + 0.1167[240]^3 + 22.75[240]^2

P(x) = 663552 + 1613260.8 + 1310400

P(x) = 3,587,212.8 cents

Equivalent to $35,872.128

3 0
3 years ago
Landen used 1 1/2 gallons of paint to paint 3/4 of a room. At this same rate, how many gallons will it take to paint the whole r
bearhunter [10]

Answer:

2 gallons

Step-by-step explanation:

(1.5 gallons)/(3/4 Room) = 2 gallons/Room

5 0
2 years ago
4. A triangle has vertices A(4, 2), B(3, 7), and C(–4, –5).
Alex

To draw the median of the triangle from vertex A, the mid point of BC must be determined. The median of the vertex A is given at (-1/2, 1). See explanation below.

<h3>How you would draw the median of the triangle from vertex A?</h3>

Recall that B = (3, 7)

and            C = (-4, -5).

  • Note that when you are given coordinates in the format above, B or C = (x, y)
  • Hence the mid point of line BC is point D₁ which is derived as:
    D₁ [ (\frac{3-4}{2}) , (\frac{7-5}{2}) ]
  • hence, the Median of the Vertex A = (-1/2, 1).

Connecting D' and A gives us the median of the vertex A. See attached graph.

<h3>What is the length of the median from C to AB?</h3>

Recall that
A → (4, 2); and

B → (3, 7)

Hence, the Midpoint will be

[(\frac{4+3}{2} ), (\frac{2+7}{2} )]

→  (\frac{7}{2}, \frac{9}{2} )

Recall that

C → (-4, 5)

Hence,

\overline{C D_{2} } =  \sqrt{[(-4 -\frac{7}{2} })^{2}  + (-5-\frac{9}{2} )^{2} ]

Simplified, the above becomes


= √(586)/2)

= 24.2074/2

= 12.1037

The length of the Median from C to AB ≈ 12

Learn more about Vertex at;
brainly.com/question/1435581
#SPJ1

5 0
2 years ago
You and your friend collect 180 cans for a food drive. The ratio of cans you collected to cans your friend collected is 4 to 5.
Alina [70]

Answer:

44

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
30) Find the 29th term of the following sequence. <br><br> 27, 24, 21, 18, . . .
zheka24 [161]
Using the arithmetic formula a1 + (n-1) d, a1 being the first term, n being the number you’re looking for and d being the common difference, you will get the answer of -57.

Here’s the work:

27 + (29 - 1) -3
27 + (28) -3
-57
6 0
3 years ago
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