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3 years ago

Triangle DEF, shown below, is reflected over the y-axis to form triangle D'E'F'. What are

Mathematics

1 answer:

vovikov84 [41]3 years ago

8 0

Answer:

(-6, -4).

Step-by-step explanation:

When you reflect coordinates over the y-axis, the x-coordinates remain the same, but the y-coordinates become their additive inverse.

The original coordinates for F are (6, -4).

The new coordinates for F would be F' (-6, -4).

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The price of a cup coffee was 2.40 yesterday. Today, the price fell to 2.15 find the percentage decrease. Round the answer to th

irakobra [83]

ANSWER

The percentage decrease is 10.4%.

EXPLANATION

To calculate percentage decrease, use the formula,

Percentage decrease

$= \frac{new \: price - old \: price}{old \: price} \times 100\%$

Yesterday the price of coffee was 2.40. This is the old price.

Today the price is 2.15. This is the new price.

$= \frac{2.15 - 2.40}{2.40} \times 100\%$

$= \frac{ - 0.25}{2.40} \times 100\%$

$= - 0. 10416667 \times 100\%$

$= - 10.416667\%$

To the nearest tenth, we have:

$- 10.4\%$

Therefore the percentage decrease is 10.4%.

8 0

3 years ago

Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5). What are the coordinates after the two transformations: Translati

igor_vitrenko [27]

Given :

Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5).

To Find :

The coordinates after the two transformations:

a) Translation (x, y) --> (x - 2, y - 1) .

b) Rotation: 90 degrees counterclockwise at the origin.

Solution :

Applying transition a) , we get :

R'(2-2,3-1) , S'(-2-2,1-1) , T'(-1-2,5-1)

R'( 0, 2) , S'( -4 , 0), T'( -3, 4)

Now , When any point ( h , k ) is rotated 90° counterclockwise about the origin, the new points are (-k , h) .

So , R''( -2, 0) , S''( 0, -4 ) , T''( -4 , -3 ) .

Therefore , the coordinates after transformations are

( -2, 0) ,( 0, -4 ) , ( -4 ,-3 ) .

Hence , this is the required solution .

6 0

3 years ago

You leave your house and drive 7 miles north, then turn left and drive 24 miles west. How far are you from your house?

raketka [301]

Answer:
25 miles

Explanation:
We can use Pythagoras’ theorem for this

3 0

2 years ago

Don’t answer if you don’t know, plz. Thanks.

horrorfan [7]

B. I did this test too.

7 0

3 years ago

Evaluate b-(-1/8)+c where b=2 and c=-7/4

tatiyna

Answer:

3/8

Step-by-step explanation:

Evaluate b - -1/8 + c where b = 2 and c = -7/4:

b - (-1)/8 + c = 2 - (-1)/8 - 7/4

Put 2 + 1/8 - 7/4 over the common denominator 8. 2 + 1/8 - 7/4 = (8×2)/8 + 1/8 + (2 (-7))/8:

(8×2)/8 + 1/8 - (7×2)/8

8×2 = 16:

16/8 + 1/8 - (7×2)/8

2 (-7) = -14:

16/8 + 1/8 + (-14)/8

16/8 + 1/8 - 14/8 = (16 + 1 - 14)/8:

(16 + 1 - 14)/8

16 + 1 = 17:

(17 - 14)/8

| 1 | 7

- | 1 | 4

| 0 | 3:

Answer: 3/8

8 0

3 years ago