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Alexandra [31]
1 year ago
10

Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin. Use the polygon tool to graph

the triangle.

Mathematics
1 answer:
Olenka [21]1 year ago
5 0

The triangle is illustrated below.

<h3>How to explain the triangle?</h3>

The first thing you should find are the new vertices:

(x, y) ---> (2x, 2y) ---> (x', y')

(0, 0) ---> (2 (0), 2 (0)) ---> (0, 0)

(-4, 4) ---> (2 (-4), 2 (4)) ---> (-8, 8)

(-4, -2) ---> (2 (-4), 2 (-2)) ---> (-8, -4)

Then, you must join the ordered pairs and graph the new triangle.

See the attached graph.

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

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A famous basketball player scored 97 points in a high scool game, breaking a national record. She made 43 more 2-point baskets t
ziro4ka [17]
X - 3pt  baskets  (he reaches 3x points)
y - 2pt baskets  (he reaches 2y points)

We know, that  y=x+43

97 - 1 free throw = 97 - 1 = 96
Sum of points:  96

3x + 2y = 96.   Substitute  to "y"  an expression "x+43" :

3x + 2(x+43)=96
3x+2x+86=96
5x=10    |:5
x=2 

So y=x+43=2+43=45 

He has made 2  three points baskets and 45 two points baskets
8 0
3 years ago
Identify as a direct variation, inverse variation or neither. The number of tons of coal burned by an old coal burning locomotiv
pochemuha
Answer: it is a direct variation.

Justification:

In a direct variation the variables are related by a proportionality constant in this way:

y = k x

Tthan means that the value of y is always the product of a constant times the value of x.

The situation discribed for the coal may be written as:
number of tons of coal burned: c

number of hours: h

⇒ c = k × h

Which is that you can calcualte the number of tons of coal burned at any time, once you know the proportionality constant k.




5 0
3 years ago
Find the point on the plane 2x+5y+z=8 that is nearest to​ (2,0,1).
Svetach [21]

Answer:

(2.2, 0.5, 1.1)

Step-by-step explanation:

The parametric equation of the line normal to the plane and through point (2, 0, 1) can be written ...

... L = (2, 0, 1) + t(2, 5, 1)

We want to find the value of t (and the corresponding point) that makes L satisfy the equation of the plane.

... 2(2+2t) +5(0 +5t) +1(1+t) = 8 . . . . . put values from L in for x, y, z in plane

... 5 + 30t = 8 . . . . . simplify

... t = (8 -5)/30 = 0.1 . . . . solve for t (subtract 5, divide by 30)

For this value of t, L is ...

... (2, 0, 1) + 0.1(2, 5, 1) = (2.2, 0.5, 1.1)

5 0
3 years ago
What number multiplied by itself three times equals 128?
LekaFEV [45]
This is an easy one!

Three times a number = 128

3x = 128

x = 128/3

x = 42.66666.

Hope this helps!
4 0
3 years ago
Find the missing value 3/8 = _____ to 72
Morgarella [4.7K]

Answer:

27

Step-by-step explanation:

First, you need to find the factor that coverts 8 to 72. I look as these problems as 3 to x and 8 to 72. To do this, divide 72 by 8, and that's what you'd multiply 3 with.

72/8 = 9

9 x 3 = 27

3 0
3 years ago
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