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3 years ago

Which graph shows the result of dilating this figure by a factor of 4 about the origin?

Mathematics

2 answers:

Sati [7]3 years ago

8 0

Answer:

$A(-2,2);B(6,2);C(6,-2);D(-2,-2)$

Step-by-step explanation:

If the given figure is dilated by a scale factor of 4, that means the figure will be four times bigger.

We can get the coordinates of the dilated ifigure by using the scale factor on each coordinate.

The given figure has coordinates: $A'(-0.5, 0.5)$ , $B'(1.5,0.5)$ , $C'(1.5, -0.5)$ and $D'(-0.5,-0.5)$

So, the dilated coordinates are

$A(-2,2);B(6,2);C(6,-2);D(-2,-2)$

ipn [44]3 years ago

5 0

Answer:

Step-by-step explanation:

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How do you decide where to put a point when you are graphing?

elena55 [62]

Step-by-step explanation:

When deciding where to put an ordered pair on a graph its important to understand how ordered pairs work.

An ordered pair is split up into to pieces

(x,y) or number example (3,5)

When graphing the x coordinate will fall on your horizontal line or the line that looks like the horizon.

When graphing the y coordinate it will fall on your vertical line or the line that goes right up into the sky like a rocket.

To graph (3,5)

Go to the right 3 and up 5

Sometimes helps to use both fingers to keep your spot. Slide both fingers until they collide and that's where you would plot your point!

Hope this helps if you have an questions just comment and ill try to explain further.

4 0

3 years ago

Cos^2x+cos^2(120°+x)+cos^2(120°-x)<br>i need this asap. pls help me

o-na [289]

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Using the addition formulae for cosine

cos(x ± y) = cosxcosy ∓ sinxsiny

---------------------------------------------------------------

cos(120 + x) = cos120cosx - sin120sinx

= - cos60cosx - sin60sinx

= - $\frac{1}{2}$ cosx - $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos² (120 + x)

= $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------

cos(120 - x) = cos120cosx + sin120sinx

= -cos60cosx + sin60sinx

= - $\frac{1}{2}$ cosx + $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos²(120 - x)

= $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------------

Putting it all together

cos²x + $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x + $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

= cos²x + $\frac{1}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ (cos²x + sin²x) = $\frac{3}{2}$

5 0

3 years ago

Find center and radius<br> (x-3)^2+y^2=8

Flauer [41]

Answer:

<h2>Center: (3, 0)</h2><h2>Radius: 2√2</h2>

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the equation:

$(x-3)^2+y^2=8\to(x-3)^2+(y-0)^2=(\sqrt8)^2$

Therefore

the center: $(3,\ 0)$

the radius: $r=\sqrt8\to r=\sqrt{4\cdot2}\to r=\sqrt4\cdot\sqrt2\to r=2\sqrt2$

4 0

3 years ago

The owner of a bike shop would like to analyze the sales data to determine if the business is growing, declining, or remaining f

igomit [66]

The sales growth is = $25,000

<h3>The analysis of sales data</h3>

The revenue generated from a business like that of the owner of a bike shop is by multiplying the number of sales and the sales price or average service price.

The sales Revenue for Last Year =$125,000

The Sales Revenue for Current Year = $150, 000

Therefore the sales growth can be gotten by subtracting the current year from the previous year. Which is,

$150, 000 - $125,000 = $25,000

Learn more about revenue here:

brainly.com/question/25623677

7 0

2 years ago

Read 2 more answers

Does anyone know the answer to this?

pishuonlain [190]

Answer: