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1 year ago

1. Segment AB has the coordinates given.

Mathematics

1 answer:

denpristay [2]1 year ago

8 0

The first image has a coordinate of A'(1, 6) B'(-3, 7)

<h3>How to calculate the coordinates of an image after a translation?</h3>

Translation can be defined as movement in a straight line.

Given the rule: (x,y) → (x + 3, y - 1) and A(-2,7) B(-6,8)

That means: A(x = -2, y =7) B(x = -6, y = 8)

Thus the translation will be:

A'(-2 +3, 7-1) B'(-6+3, 8-1) = A'(1, 6) B'(-3, 7)

Therefore, the coordinate of the image is A'(1, 6) B'(-3, 7)

Learn more about translation on:

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Solve the inequality y − 6>10

fredd [130]

if y-6 > 10, and 16-6 = 10, then y > 16 since 17-6 = 11, which is greater than 10. Any number greater than 16 can fulfil this inequality.

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3 years ago

Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

3 years ago

If x= 10, find 100/x^3

noname [10]

Step-by-step explanation:

x = 10,

100 / x³

100 / 10³

100 / 1000

1 / 10

0.1

Mark ‼️ it brainliest if it helps you ❤️

4 0

3 years ago

PLEASE HELP ASAP!!!!!

erastova [34]

Answer:

B = (3, 3)

Step-by-step explanation:

Since the line segment is fifteen units long, from the looks of it, chopping ⅓ of A's side, led to the ordered pair of (3, 3).

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

7 0

3 years ago

Perry is buying an I phone that is a sale for 40% off the original price.after he uses a $25 gift card.the total cost before tax

marta [7]

Answer:

$599

Step-by-step explanation:

Given: Discount- 40% off on original price.

Gift card= $25

Total cost before taxes is $334.40

Lets assume the original price be "x".

We know there is 40% on original price and Perry uses $25 gift card.

Remember; Total cost= $Original\ price- discount- gift\ card$

Now, finding the original price of Iphone.

⇒ $x-0.40x-25= 334.40$

⇒ $0.60x-25= 334.40$

Adding both side by 25

⇒ $0.60x= 334.40+25$

⇒ $0.60x= 359.4$

Dividing both side by 0.60

⇒ $x= \frac{359.4}{0.60}$

∴ $x= 599$

Hence, the original price of iphone is $599

5 0

3 years ago