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3 years ago

How u solve this problem 7x-y=6 -7x+y=-6

1 answer:

4 0

$\underline{+\left\{\begin{array}{ccc}7x-y=6\\-7x+y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=0\\\\\text{Infinitely many solutions}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=7x-6\end{array}\right$

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Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?.

stellarik [79]

The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,

[ 0 12 12 0]

[ 0 0 12 6]

<h2>We have to determine</h2>

Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?

<h3>According to the question</h3>

The vertices of the triangle are

The scale factor is 3.

<h3>The vertices of the triangle are scaled with the factor of 3 so the vertices are get multiplied by 3.</h3>

Therefore,

The vertices of the rectangle after scaled by the factor of 3 are,

$\rm (0, 0), (4, 0), (4, 4) \ and\ (0, 2)\\\\ (0\times 3, 0\times 3), (4 \times 3, 0 \times 3), (4 \times 3, 4 \times 3) \ and \ (0 \times 3, 2 \times 3) \\\\ (0, \ 0), (12, \ 0), (12, \ 12), \ (0,\ 6 )$

The vertices of the rectangle after it are scaled by a factor of 3.

Therefore,

The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,

[ 0 12 12 0]

[ 0 0 12 6]

To know more about Matrix click the link given below.

brainly.com/question/2489305

8 0

2 years ago

The table shows the temperatures in degrees Celsius, y, inside a shed at x hours past noon. The maximum and minimum temperatures

kolbaska11 [484]

Answer:

y = 3 cos (pi/12x - pi/4) + 17

Step-by-step explanation:

First find the average temperature which is 20 + 14/2 = 17

Find the amplitude

20 - 17 = 3

This means that that at noon, the shift is 3hrs past

the best equation that represents this scenario is $y = 3 cos (\frac{\pi}{12}x - \frac{\pi}{4}) + 17$

5 0

2 years ago

Write a linear equation that passes through the point (2,-9) and has a slope of -5

Doss [256]

Answer:

y=-5x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-5(x-2)

y+9=-5x+10

y=-5x+10-9

y=-5x+1

3 0

3 years ago

On the graph below are three points X, Y, and Z. Write the coordinates for the given dilation.

Julli [10]

ANSWER

$( - \frac{3}{2} , - 1)$

EXPLANATION

From the graph, the coordinates of Y are:

$(3,2)$

We want to find the image of this point after a dilation by a scale factor of -½ about the origin.

The rule for the dilation is :

$(x,y)\to( - \frac{1}{2} x, - \frac{1}{2} y)$

To find the coordinates of Y', we plug the coordinates of Y.

$Y(3,2)\to \: Y'( - \frac{1}{2} (3), - \frac{1}{2}(2) )$

$Y(3,2)\to \: Y'( - \frac{3}{2}, - 1)$

The first choice is correct.

6 0

3 years ago

What are the measures of 1 and 2? 37.1 1 2 17.30 121.8°

Lady_Fox [76]

Answer:

Option 2 : m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

Lets find the measure of angle 2 first:

180° - 17.3° - (180° - 121.8°) = Angle 2

↑

Angle of the straight line = 180°

The angle should be 180 - 121.8

Angle 2 = 104.5

At this point the only answer that works is the second option, but let's still work out Angle 1

Angle 1 :

Theory of opposite angles state that the opposite angles inside a triangle = the exterior angle

in this case:

Angle 1 + 37.1 = Angle 2

Since we know angle 2 = 104.5, lets solve

Lets say angle 1 = x

x + 37.1 = 104.5

x = 104.5 - 37.1

x = 67.4

If my answer is incorrect, pls correct me!

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-Chetan K

8 0

2 years ago

Read 2 more answers