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3 years ago

Which table represents a direct variation

Mathematics

1 answer:

Arisa [49]3 years ago

5 0

The direct variation is Table B, since
12÷4 = 18÷6. The variables are proportional to each other because every outcome is x3

Meanwhile, Table A lacks any sense of order or proportion, and Table C doesn't appear to have any outcome to prove a proportional relationship between x and y.

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It would take an hour for plane A to meet plane B which is flying towards it. If the distance between them will be 200 miles aft

sammy [17]

Let a = speed of the plane A, and b = speed of plane B.
(Assume that the net effect of the wind is negligible.)
From the first sentence, the distance between A and B after each travels for 1 hour is a + b miles. From the second sentence, after 45 minutes, or 0.75 hour, the distance between A and B is 200 miles. Plane a has traveled 0.75a, while plane B has traveled 0.75b.
Hence a + b = 0.75a + 0.75b +200
==> 0.25(a + b) = 200.
==> a + b = 800.
Therefore planes A and B are 800 miles apart now.

3 0

3 years ago

Read 2 more answers

If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?

vesna_86 [32]

Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

$(x, y)\rightarrow(x-4,y+3)$

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

→ B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

6 0

2 years ago

You are enclosing a rectangular garden with 180 feet of omamental fencing. The area of the garden is 1800 square feet. What are

Brut [27]

Answer:

Step-by-step explanation:

Perimeter is

P = 2L + 2W. We are given the perimeter as 180 feet, so

180 = 2L + 2W. Solve this for either L or W. I chose W, no reason...

180 - 2L = 2W so

90 - L = W Hold that thought. We'll come back to it in a minute.

Area is

A = LW. We are given the area as 1800 square feet, so

1800 = LW. Sub in 90 - L for W:

1800 = L(90 - L). Distribute to get a quadratic:

$1800=90L-L^2$

Get everything on one side and solve for the length by factoring:

$-L^2+90L-1800=0$

Factor this however you like to factor quadratics, to get the length of

L = 30 and L = 60. First off, the length is longer than the width in general, so if we want to solve for the width, plug in 60 as L in the equation in bold print:

90 - 60 = W and

30 = W

So L = 60 and W = 30

4 0

3 years ago

25/23 writen as a decimal and in simplist form.

kolezko [41]

The decimal is about 1.1 and you can’t simplify it

7 0

3 years ago

Read 2 more answers

Find the determinant of the nxn matrix A with 5's on the diagonal, l's above the diagonal, and O's below the diagonal. det (A) =

Vilka [71]

Answer:

n times 5

Step-by-step explanation:

A matrix Anxn of this way is called an upper triangular matrix. It can be proved that the determinant of this kind of matrix is

$a_{11}+a_{22}+...+a_{nn}$

In this case, it would be 5+5+...+5 (n times) = n times 5

We are going to develop each determinant by the first column taking as pivot points the elements of the diagonal

$det\left[\begin{array}{cccc}5&a_{12}&a_{13}...&a_{1n}\\0&5&a_{23}...&a_{2n}\\...&...&...&...\\0&0&0&5\end{array}\right] =5+det\left[\begin{array}{ccc}5&a_{23}...&a_{2n}\\0&5&a_{3n}\\...&...&...\\0&0&5\end{array}\right]=5+5+...+det\left[\begin{array}{cc}5&a_{n-1,n}\\0&5\end{array}\right]=5+5+...+5+5\;(n\;times)$

6 0

3 years ago