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IgorC [24]
3 years ago
15

The vertices of a rectangle are given in the columns of the matrix (picture 1).

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

∵ The vertices of the rectangles are:

  (0 , 0) , (0 , 6) , (6 , 6) , (6 , 0)

∵ 3 × \left[\begin{array}{ccc}0&1\\-1&0\end{array}\right] × R

∴ That is mean The rectangle rotate 270° around the origin

  (270° anti-clockwise or 90° clockwise)

  and enlargement by scale factor 3

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3y-6=3x and y+2x=5 solve the system of linear equations by graphing PLEASE SHOW WORK​
Dmitry_Shevchenko [17]

Answer:

  (x, y) = (1, 3)

Step-by-step explanation:

The "work" of solving by graphing is typing the equations into a graphing calculator and highlighting the point of intersection.

___

If you're graphing these by hand, there are a couple of strategies you can use. One is to make use of the intercepts of the line. For each of these, you need to rearrange the equation to a suitable form.

  <u>3y -6 = 3x</u>

To put this into "intercept form", put the variable terms on one side of the equal sign and the constant on the other. Then divide by the constant and express the resulting variable coefficients as denominators.

  3x -3y = -6

  x/(-6/3) +y/(-6/-3) = 1

  x/(-2) + y/2 = 1 . . . . . . The x-intercept is -2; the y-intercept is 2.

Plot the intercept points and draw a line through them.

  <u>y +2x = 5</u>

The intercepts for this one are found by dividing by 5:

  x/(5/2) + y/5 = 1 . . . . . . The x-intercept is 2.5; the y-intercept is 5.

The other strategy you can use for this one is to rearrange the equation to slope-intercept form and make use of those numbers.

  y = -2x + 5

The y-intercept is 5 (as we already found above), and the slope is -2. That means the line drops 2 units for each unit it goes to the right. Apart from the y-intercept, other points on this line will be (1, 3), (2, 1), (3, -1).

  <u>Solution</u>

When you plot these lines, you find they intersect at (1, 3). That is the solution to the system of equations, the values of x and y that satisfy both equations.

7 0
3 years ago
Does anyone know how to do simple interest for 7th grade math? I need a tutorial or an example please, thanks. A question exampl
lions [1.4K]

Answer:

750/100 X 7 = 52.50

52.50 X 3 = $157.50

Step-by-step explanation:

divide principal amount by 100 then multiply by interest percentage. this gave 52.50

now multiply the interest amount by number of years

in this case 3

52.50 X 3 = $157.50

3 0
3 years ago
What equation is equal to 11×-12
Nimfa-mama [501]
_______-12 x 11________
3 0
3 years ago
Read 2 more answers
katie has 4 grapes candies and 3 cherries candies. The ratio of the number of grapes candies to the total number of candie is
Tom [10]

Answer: 7 I think its adding but if its multiplying it is 12

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In the diagram, line a is the perpendicular bisector of km. what is the length of km?
sleet_krkn [62]

Answer:

80

Step-by-step explanation:

From the given diagram;

KN = NM

9x - 5 = 7x + 7

9x - 7x = 7 + 5

2x = 12

x = 12/2

x = 6

Since KM= 2KL

KM = 2(6x+4)

KM = 12x + 8

KM = 12(6)+8

KM = 72+8

KM = 80

Hence the length of KM is 80

6 0
3 years ago
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