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monitta
2 years ago
6

Given the lines AB and CD, determine the slope of line CD. Type a numerical answer in the space provided. If necessary, use the

/ key to represent a fraction bar.
Mathematics
1 answer:
adell [148]2 years ago
8 0

Answer:

The answer is Slope of CD = -5/4.

Step-by-step explanation:

The question is missing important information like the values for which the slope has to be find

Points A(0,-1), B(5,3), C(2,3), D(6,-2) is missing in the question

Formula for slope:

                        Slope = (y_{2}- y_{1})/(x_{2} -x_{1})

C(2,3), is  (x_{1},y_{1})

D(6,-2) is (x_{2},y_{2}). for slope of CD.

Putting values in the formula.

                          Slope = (-2-3) / (6-2)

                          Slope = -5/4

This formula can be used for for finding slope for  values of A and B similarly.

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Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is model
NeTakaya
In this item, it is assumed that we are to determine the speed at which the car will have the best gas mileage. This can be done by deriving the equation and equating it to zero.

       M(s) = -1/28s² + 3s - 31

Deriving,
    dM(s) = (-1/28)(2s) + 3 = 0

                     s = 42

Hence, the speed at which the best mileage is achieved is mi/h. 
5 0
2 years ago
Which expression can be used to find the sum of the polynomials? (9 – 3x2) (–8x2 4x 5)
SIZIF [17.4K]

For this case we have:

Polynomial 1: P (x) = 9-3x ^ 2

Polynomial 2: Q (x) = - 8x ^ 2 + 4x + 5

Sorting the polynomials:

Polynomial 1: P (x) = - 3x ^ 2 + 9

Polynomial 2: Q (x) = - 8x ^ 2 + 4x + 5

Adding term to term (similar) we have:

P (x) + Q (x) = (- 3-8) x ^ 2 + (0 + 4) x + (9 + 5)\\P (x) + Q (x) = - 11x ^ 2 + 4x + 14

Answer:

A (x) = P (x) + Q (x) = - 11x ^ 2 + 4x + 14


7 0
2 years ago
Read 2 more answers
Nevaeh's coffee shop starts the day with $50 in the cash register. The shop earns $25 each hour for the 8 hours it is open. Usin
guajiro [1.7K]

Answer:

b

Step-by-step explanation:

6 0
1 year ago
Kronos Industries bought a desktop for $3,000. It is expected to depreciate at a rate of 10% per year. What will the value of th
kolbaska11 [484]

Answer:

$1968

Step-by-step explanation:

It will depreciate by 10% 4 times, which means that the result in the end will be <em>$3000 * (100% - 10%) * (100% - 10%) * (100% - 10%) * (100% - 10%)</em>, or, put simply, <em>x = $3000 * (0.9)⁴</em>.

Power: x = $3000 * 0.6561

Multiply: x = 1968.3 ≈ $1968

4 0
2 years ago
Mr. And Mrs. Harper are planning to install a deck and a garden. Help them determine which of the two choices below is most effi
Iteru [2.4K]

Answer:

Plan A

Step-by-step explanation:

To find the better plan, you must find which plan has a bigger area.

First, we're going to find Plan A using the area formula (A = L * W)

A = L * W

A = 18 * 25

A = 450

Now we must find the area of the garden.

A = 9 * 12

A = 108

Add both areas together to get the area of Plan A.

450 + 108 = 558. Plan A has an area of 558 feet.

Second, Now we're going to find Plan B's area using the circle formula and area formula.

To find the area of the deck, use the formula.

A = L * W

A = 16 * 20

A = 320  

Now we will find the area of the garden.

Since the garden is a circle and we are given the radius, we will use the formula A = πr²

A = 3.14 * 5²

A = 3.14 * 25

A = 78.5

Now add both areas together.

78.5 + 320 = 398.5. Plan B has an area of 398.5 feet.

558 > 398.5, so <u>Plan A is more efficient, judging solely on size.</u>

4 0
1 year ago
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