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ohaa [14]
3 years ago
12

Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0
The A"B"C" is the red triangle.  What happened is it was a 90 degree rotation around the 0, then an enlargement.  The correct answer is D.  

Hope I helped.  
Murljashka [212]3 years ago
4 0

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

(x,y)\rightarrow (-y,x)

The corresponding sides of image A"B"C" are smaller than the preimage ABC.  

k=\frac{A"B"}{AB}=\frac{3}{6}=\frac{1}{2}

Since k<0, therefore the transformation shows the reduction. The dilation rule is

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

A(-3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(-3))\rightarrow (0,-1.5)

B(3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(3))\rightarrow (0,1.5)

C(0,5.2)\rightarrow (-\frac{1}{2}(5.2),\frac{1}{2}(0))\rightarrow (-2.6,0)

Option B is correct.

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Find the degree of the polynomial<br> 2x^4y^2+9x^2y^5-3x^4y^4
coldgirl [10]

Answer:

the polynomial has degree 8

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term  2\,x^4\,y^2  contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6

2) term  9\,x^2\,y^5  contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7

3) term  -3\,x^4\,y^4  contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8

This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.

8 0
3 years ago
Read 2 more answers
Please help this is hard math
Rainbow [258]

Answer:

y=-4x+2

Step-by-step explanation:

  • First we find the slope of the line AB passing through the point (2,0)
  • line AB is perpendicular to the line y=\frac{1}{4}x-3 , this equation is slope intercept for, which is y=mx+b so our m or slope is \frac{1}{4}
  • Since the slope of line AB is perpendicular to m=\frac{1}{4} then we use the equation slope of line1\times slopeofline2=-1 , so what do we multiply \frac{1}{4} by to get -1? -4 right, so that's the slope of line AB with the point (2,0)
  • Now line CD is parallel to line AB, that means it has the same slope as AB, so slope of CD is -4
  • So we make the equation y-y_1=m(x-x_1) so m= -4 and our point is (-1,6)
  • y-(6)=-4(x-(-1)\\y-6=-4x-4\\y=-4x-4+6\\y=-4x+2 thats the equation of line side CD
6 0
2 years ago
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In which quadrant of the coordinate graph does point F lie? Quadrant I Quadrant II Quadrant III Quadrant IV
Inga [223]

Answer:

it is c

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Btw John makes 9$ an hour and amber makes 8$ an hour. REMEMBER TO ANSWER IN MINUTES NOT HOURS.
yarga [219]
Hello there! Provided the information, we know that the nearest multiple of 8 and 9 has to be greater than 50. 8 and 9 do not go into 50.

$9 • 6 hours = $54

$8 • 7 hours = $56

There are 60 minutes in an hour, so we can multiply accordingly:

60 minutes • 6 hours = 360 minutes

60 minutes • 7 hours = 420 minutes

Your final answers are:

It will take John 360 minutes to earn $50.

It will take Amber 420 minutes to earn $50.

(P.S. It takes Amber one more hour to earn $50 than it does for John to earn $50.)

Hope this helps!
8 0
2 years ago
Determine if y=-2x-7 and -y=2x+13 are parallel, perpendicular, coincide or none of these
Goryan [66]
If you move the negative on the left side of the second equation over to the right side, then we can see that the equation is equivalent to y={-2x} - 13.

Remember that an equation y = mx + b represents a line with slope m and y-intercept b. Since both equations given have a slope of -2, but have different y-intercepts, they are parallel.
4 0
2 years ago
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