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3 years ago

Help me please very confused

Mathematics

1 answer:

CaHeK987 [17]3 years ago

8 0

Read the problem and answer choices. You want to get from ABCD to EFGH, so you need to figure out how to do that with reflection, translation, and dilation—in that order.

The reflection part is fairly easy. ABC is a bottom-to-top order, and EFG is a top-to-bottom order, so the reflection is one that changes top to bottom. It must be reflection across a horizontal line. The only horizontal line offered in the answer choices is the x-axis. Selection B is indicated right away.

The dimensions of EFGH are 3 times those of ABCD, so the dilation scale factor is 3. This means that prior to dilation, the point H (for example), now at (-12, -3) would have been at (-4, -1), a factor of 3 closer to the origin. H corresponds to D in the original figure, which would be located at (0, -2) after reflection across the x-axis.

So, the translation from (0, -2) to (-4, -1) is 4 units left (0 to -4) and 1 unit up (-2 to -1).

The appropriate choice and fill-in would be ...

... B. Reflection across the x-axis, translation 4 units left and 1 unit up, dilation with center (0, 0) and scale factor 3.

_____

You can check to see that these transformations also map the other points appropriately. They do.

You might be interested in

Han spent 75 minutes practicing the piano over the weekend. Tyler practiced the clarinet for 64% as much time as Han practiced t

prisoha [69]

Answer: Priya practiced for 189 minutes

Tyler practiced for 123 minutes

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

The Explanation: Now, Han spent 75 minutes practicing the piano over the weekend

Then, Priya practiced the violin for 152% as much time as Han practiced the piano.

Priya = 152% of 75 minutes + 75 minutes

= 152/100 × 75 + 75

= 1.52 × 75 + 75

= 114 + 75

= 189 minutes

Finally, Priya practiced for 189 minutes

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

Tyler practiced the clarinet for 64% as much time as Han practiced the piano.

Tyler = 64% of 75 minutes + 75 minutes

= 64/100 × 75 minutes + 75 minutes

= 64 / 100 × 75 + 75

= 0.64 × 75 + 75

= 48 + 75

= 123 minutes

Lastly, Tyler practiced for 123 minutes

8 0

2 years ago

Help please! Calculate the exact value of cos (a-b) given that sin a= 12/13 with pi/2

zloy xaker [14]

Answer:

56/65

Step-by-step explanation:

First, we know that cos(a-b) = cos(a)cos(b) + sin(a)sin(b)

We know what sin(a) and sin(b) are, and to get cos(a), we can take the equation sin²a + cos²a = 1

Thus,

(12/13)² + cos²a = 1

1 - (12/13)² = cos²a

1- 144/169 = cos²a

cos²a = 25/169

cos(a) = 5/13

Similarly,

(3/5)² + cos²b = 1

1 - (3/5)² = cos²b

1 - 9/25 = cos²b

cos²b = 16/25

cos(b) = 4/5

Our answer is

cos(a-b) = cos(a)cos(b) + sin(a)sin(b)

cos(a-b) = (5/13)(4/5) + (12/13)(3/5)

cos(a-b) = 20/65 + 36/65

cos(a-b) = 56/65

4 0

3 years ago

John pays $0.25 per minute plus $7 per month for a long distance phone plan. Which expression represents this scenario. Then fin

anyanavicka [17]

Answer:

Step-by-step explanation:

because you have to add them

5 0

3 years ago

Factor X squared minus 2X -80

Alja [10]

Answer:

(x - 10)(x + 8)

Step-by-step explanation:

x² - 2x - 80

Consider the factors of the constant term (- 80) which sum to give the coefficient of the x- term (- 2)

The factors are - 10 and + 8 , since

- 10 × 8 = - 80 and - 10 + 8 = - 2 , then

x² - 2x - 80 = (x - 10)(x + 8)

3 0

3 years ago

Graph the lines y=4*+2 and y=-x+7 on the graph below then find their point of intersection and record the solution

Elza [17]

Answer:

The Graph for Both is attached below.,

For line , y = 4x + 2 ......Red color Line on Graph

For line , y = -x + 7 ............Purple color Line on Graph.

Point of Intersection is ( 1 , 6 ) ....Orange Color

Step-by-step explanation:

Assume, y = 4x+2

Given:

For y = 4x + 2

$y=4x+2$

Let the points be point A, and point B

To Find:

Point of Intersection of Two given lines= ?

Solution:

For Drawing a graph we require minimum two points but we will have here three points.

For y = 4x + 2

For point A( x₁ , y₁)

Put x = 0 in the given equation we get

y=4(0) + 2 =2

y=2

∴ y = 2

∴ point A( x₁ , y₁) ≡ ( 0 ,2)

For point B( x₂ , y₂)

Put y= 0 in the given equation we get

0= 4x+2

$x=\dfrac{-1}{2}$

∴ point B( x₂ , y₂) ≡ $(\dfrac{-1}{2},0)$

Therefore,

The two points for the line 2x - 4y = 20 are

point A( x₁ , y₁) ≡ ( 0 ,-5)

point B( x₂ , y₂) ≡ (2 , 0)

Similarly,

For y = -x + 7

Put x = 0 in the given equation we get

y=-(0) + 7 =7

y=7

∴ y = 7

∴ point C( x₁ , y₁) ≡ ( 0 , 7)

For point D( x₂ , y₂)

Put y= 0 in the given equation we get

0= -x+7

∴ x = 7

∴ point D( x₂ , y₂) ≡ ( 7 , 0 )

For line , y = 4x + 2 ......Red color Line on Graph

point A( x₁ , y₁) ≡ ( 0 ,2) .....Green color point on graph

point B( x₂ , y₂) ≡ $(\dfrac{-1}{2},0)$ ..........Blue color point on graph

For line , y = -x + 7 ............Purple color Line on Graph

point C( x₁ , y₁) ≡ ( 0 , 7 ) .....Black color point on graph

point D( x₂ , y₂) ≡ ( 7 , 0 ) ...Red color point on graph

Point of Intersection is ( 1 , 6 ) ....Orange Color

Download pdf

6 0

3 years ago