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Dmitry_Shevchenko [17]
1 year ago
13

Use translation (x, y) (x - 8, y + 4) to answer the question. What is the image of B(- 1, 5)?

Mathematics
1 answer:
shutvik [7]1 year ago
3 0

Translation involves changing the position of a shape.

The image of B is (-9, 9)

<h3>How to translate a point ?</h3>

If we know the direction and how far the figure should be moved, we can draw the translation in the coordinate plane. P'(x+a,y+b) is used to translate the point P' (x,y) a unit right and b unit up.

Translation involves changing the position of a shape.

The image of B is:

The translation rule is given as:

(x, y) → (x - 8, y + 4)

The point is given as: B(- 1, 5)

Substitute -1 for x and 5 for y

(x, y) → (x - 8, y + 4)

(-1, 5) → (-1 - 8, 5 + 4)

(-1, 5) → (-9, 9)

i.e. B' → (-9, 9)

Hence, the image of B is: (-9, 9)

To learn more about Translations refer,

brainly.com/question/15123583

#SPJ1

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Step-by-step explanation:

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3 years ago
An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p
horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

y=a(x+1)(x-5)=0

This gives

x=-1

y=5

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}

Thus the coordinates of B are:

B=(-1+\frac{2\sqrt{3} }{3},2)

Now this point B lies on the parabola, and therefore it must satisfy the equation  y=a(x+1)(x-5).

Thus

2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)

Therefore

a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}

\boxed{a=-0.3575}

8 0
3 years ago
Beginning in 2000, an orchestra increased its ticket price by a constant amount each year until 2010.
Scilla [17]

Answer:

$35.50

Step-by-step explanation:

55.50-48= 7.5

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2 years ago
James is playing his favorite game at the arcade. After playing the game 333 times, he has 888 tokens remaining. He initially ha
lesantik [10]

Answer:

t(g)= -4g + 20

Step-by-step explanation:

James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays

Solution

Let

g=No. of games James plays

t= No. of tokens James has.

Find the slope using

y=mx + b

Where,

m = Slope of line,

b = y-intercept.

Before James started playing the games, he has a total of 20 tokens.

That is, when g=0, t=20

After James played the games 3 times, he has 8 tokens left

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(x,y)

(0,20) (3,8)

m=y2-y1 / x2-x1

=(8-20) / (3-0)

= -12 / 3

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No. of tokens left depend on No. of games James plays

t is a function of g.

t(g)

t(g)= -4g + 20

3 0
3 years ago
Help me pls pls pls pls​
bogdanovich [222]

Answer:

It has to be 21 2/3,A

8 0
3 years ago
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