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3 years ago

The coordinates of then vertical of parallelograms WXYZ are W(-2,3) , X(-1,0) , Y(5,2) and Z (4,5) the slope of

Mathematics

1 answer:

Anit [1.1K]3 years ago

6 0

Answer:

The slope of WX and WY

Step-by-step explanation:

For us to have a rectangle, the angles at the edges equal 90

What this mean is that the width and the length are at 90 degrees

Hence, we can say that they are perpendicular to one another

Thus, we can calculate the slopes of both to drive home our point

Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle

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Dawson rakes leaves in his neighborhood. The equation y = 10x represents the amount of money he earns. What is the constant of p

Valentin [98]

The constant of proportionality is equal to k in y=kx. In y=10x, the k value is 10.

Final answer: C. 10

3 0

3 years ago

18 bikes, 9 have gears (G), 11 have suspension (S) and 5 with both,What is the probability that a bike with suspension or gears?

vichka [17]

Answer:

Step-by-step explanation:

Total number of bikes = 18
Bikes with gears S = 9
Bikes with suspension S = 11
Bikes with both GS = 5

From the information above we have:

Bikes with gears only = 9 - 5 = 4
Bikes with suspension only = 11 - 5 = 6

Sum of the above two gives us the number of bikes with suspension or gears:

4 + 6 = 10

Probability of selected bike be G or S is:

P(G or S) = 10/18 = 5/9

4 0

3 years ago

1)A System of equations is shown below . What is the solution to the system of equations? 5x+2y=-15 2x-2y=-6

meriva

Answer:

x= -3 and y= 0

Step-by-step explanation:

5x+2y=-15

2x-2y=-6

7x =-21

x= -3

Putting value of x in equation 1

5(-3) +2y=-15

-15+2y= -15

2y= 0

y= 0

This can be solved with the help of matrices

In matrix form the above equations can be written in the form

$\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ = $\left[\begin{array}{ccc}-15\\-6\\\end{array}\right]$

Let

$\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right]$ = A $\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ = X and $\left[\begin{array}{ccc}-15\\-6\\\end{array}\right]$ = B

Then AX= B

or X= A⁻¹ B

where A⁻¹= adj A/ ║A║ where mod A≠ 0

adj A= $\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right]$

║A║= ( 5*-2- 2*2)= -10-4= -14≠0

X= A⁻¹ B

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ =- 1/14 $\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right]$ $\left[\begin{array}{ccc}-15\\-6\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ =- 1/14 $\left[\begin{array}{ccc}-2*-15&+ -2*-6\\-2*-15&+ 5*-6\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ =- 1/14 $\left[\begin{array}{ccc} 30&+12\\30&+-30\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ =- 1/14 $\left[\begin{array}{ccc}42\\0\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ = $\left[\begin{array}{ccc}-42/14\\0/-14\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ = $\left[\begin{array}{ccc}-3\\0\\\end{array}\right]$

From here x= -3 and y= 0

Solution Set = [(-3,0)]

3 0

3 years ago

What is the volume of the figure?

FromTheMoon [43]

It’s going to be the area of the triangle on the side times the length, so 0.5 x 36 x 15 x 48 = 12960

7 0

4 years ago

THE number of bass and pike in a lake are estimated to be in the ratio of 5:3. There are approximately 500 fish in the lake.

lawyer [7]

The bass are 5
and the pike are 3

5 0

3 years ago