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rusak2 [61]
3 years ago
11

The triangle is dilated with scale factor 1/2 and center O. What

Mathematics
1 answer:
shtirl [24]3 years ago
6 0

Answer:

C; (-2,2) , (1,2) and (0,1)

Step-by-step explanation:

Here, we want to get the coordinates of the triangle after dilation by a factor of 2

What we simply do here is to multiply each of the coordinates value of every point by 1/2

thus, we have it that;

D(-4,4) becomes (-2,2)

E (2,4) becomes (1,2)

F (0,2) becomes (0,1)

So we have the answer as;

(-2,2) , (1,2) and (0,1)

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Graph the line y=5/3x on the axes below using two points.
Oxana [17]

Answer:

I don't know the two coordinates but this would be the graph according to your equation.

Step-by-step explanation:

8 0
3 years ago
Calculate the axis of symmetry in the equation Y = (x+1) (x-4)
algol [13]

Answer:

<em>Every </em><em>parabola </em><em>has </em><em>a </em><em>turning</em><em> point</em><em> </em><em>called </em><em>the </em><em>axis</em><em> of</em><em> symmetry</em><em>,</em><em>so </em><em>for </em><em>this </em><em>question</em><em> </em><em>you </em><em>just</em><em> </em><em>have </em><em>to </em><em>find </em><em>the </em><em>turning</em><em> </em><em>points</em>

<em>x </em><em>turning</em><em> </em><em>point</em><em>=</em><em> </em><em>-b/</em><em>2</em><em>a</em><em>,</em><em>and </em><em>the </em><em>y </em><em>turning</em><em> </em><em>point</em><em> </em><em>is </em><em>gotten</em><em> </em><em>by </em><em>replacing</em><em> </em><em>the </em><em>value </em><em>of </em><em>x </em><em>in </em><em>the </em><em>equation</em>

<em>y=</em><em>(</em><em>x+</em><em>1</em><em>)</em><em>(</em><em>x-4)</em>

<em> </em><em> </em><em>=</em><em>x^</em><em>2</em><em>-</em><em>3</em><em>x</em><em>-</em><em>4</em>

<em>a </em><em>is </em><em>1</em><em>,</em><em>b </em><em>is </em><em>-</em><em>3</em><em> </em><em>and </em><em>c </em><em>is </em><em>-</em><em>4</em>

<em>x=</em><em> </em><em>-</em><em>(</em><em>-</em><em>3</em><em>)</em><em>/</em><em>2</em><em>(</em><em>1</em><em>)</em>

<em> </em><em> </em><em>=</em><em>1</em><em>.</em><em>5</em>

<em>and </em><em>y=</em><em>x^</em><em>2</em><em>-</em><em>3</em><em>x</em><em>-</em><em>4</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>1</em><em>.</em><em>5</em><em>^</em><em>2</em><em>-</em><em>3</em><em>(</em><em>1</em><em>.</em><em>5</em><em>)</em><em>-</em><em>4</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>-</em><em>6</em><em>.</em><em>2</em><em>5</em>

<em>therefore</em><em> </em><em>the </em><em>axis </em><em>of</em><em> symmetry</em><em> is</em><em> (</em><em>1</em><em>.</em><em>5</em><em>,</em><em>-</em><em>6</em><em>.</em><em>2</em><em>5</em><em>)</em>

<em>I </em><em>hope </em><em>this </em><em>helps</em>

6 0
3 years ago
A store owner buys cell phones for $40 and marks up the price by 25 percent. Explain how to find the price at which she sells th
vladimir1956 [14]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

In order to find the price at which the store owner sells the cell phone, we must first establish by how much the price is changing.

As the problem states that the price of the cell phones is marked up by 25 percent, we must simply find 25 percent of the original price which the cellphones were purchased at and then add the amount to the original price.

Essentially this means we will do the following:

Let selling price = x

Let original price purchased at = $40

Let mark up = 25% = 0.25

x = Original price purchased at × ( 1 + mark up )

x = 40 × ( 1 + 0.25 )

x = 40 × 1.25

x = $50

FINAL ANSWER:

Therefore, the price which the store owner sells the cell phones at is $50.

Hope this helps! :)
Have a lovely day! <3
7 0
3 years ago
AB is a common external tangent to circles D and C. The points of tangency are at A and B. DC = 13, BC = 2 and AD = 7.
lesya692 [45]

Based on the calculations, the length of side AB is equal to 13.93 units.

<h3>How to find the length of AB?</h3>

Since the points of tangency are at A and B, we would determine the side length of the point lying between side A and D as follows:

AM = AD - BC

AM = 7 - 2

AM = 5 units.

Now, we can determine the length of side AB by applying Pythagorean's Theorem:

AB² = BM² + AM²

AB² = 13² + 5²

AB² = 169 + 25

AB = √194

AB = 13.93 units.

Read more on Pythagorean theorem here: brainly.com/question/23200848

#SPJ1

6 0
2 years ago
Y = 4/5x - 3/5<br><br>|||||​
adoni [48]
The answer is in the screenshot

7 0
4 years ago
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