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Sholpan [36]
3 years ago
5

In which quadrant will the triangle be located after this series of transformations? Does the size of the triangle change after

the series of transformations? 1. Translate (x, y) → (x + 1, y + 2) 2. R (origin, 90° clockwise) 3. Translate (x, y) → (x + 2, y - 3)
Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

1. Translate (x, y) → (x + 1, y + 2)

The x coordinate will be translated 1 units horizontally and the y coordinate will be translated up 2 units vertically but they are still locate in the 1st quadrant

2. R (origin, 90° clockwise)

It still locate in the 1st quadrant because after rotating it will create an angle 90°

3. Translate (x, y) → (x + 2, y - 3)

The x coordinate will be translated 2 units horizontally but the the y coordinate will be translated down 3 units vertically, so:

-  It will remain in the first quadrant.

- There is no size of the triangle will change.

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Given 2x² = -8, x is ____
IrinaVladis [17]

Answer:

2x² = -8

x² = -4

The answer is no real solutions (x ∉ R) because a perfect square cannot be negative.

5 0
3 years ago
Read 2 more answers
Question<br> Find the surface area of the prism.<br><br><br><br><br> m2
Art [367]

Answer:

324 square meters

Step-by-step explanation:

Hey there!

The surface area of a shape is the area of all the surfaces added up

The side surface area is 48 since 16 x 3 is 48. Since there are two side areas, we need to multiply 48 x 2 is 96

Now we need to do this for the other sides

the bottom and top areas are 96 square meters each so we multiply 96 by 2 which is 192

The front and back faces have an area of 18 square meters so we multiply 18 by 2 since there are two faces which are 36

Now we add all the values: 96+192+36 which is 324

So the surface area of the prism is 324 square meters

5 0
2 years ago
Express 13,040,000 in scientific notation
ser-zykov [4K]
1.304 *  10^{7}
8 0
3 years ago
Read 2 more answers
(HELP ASAP!!) An exterior angle of a triangle is 152°. If the non-adjacent angles are congruent, then what are the measures of a
tresset_1 [31]

Answer:

  c) 28°, 76°, 76°

Step-by-step explanation:

The two remote interior angles sum to 152°. Since they are congruent, their measures are 152°/2 = 76°. The adjacent interior angle is the supplement of 152°, so is 180°-152° = 28°.

The interior angles are 28°, 76°, 76°.  . . . .  matches choice C

4 0
3 years ago
Jada's sister works in a furniture store.
Bingel [31]

Answer:

1) $16.35

2) 75%

3) $245  

Step-by-step explanation:

1) Jada earns = $15 per hour

  9% increase = 15 * 9/100 = $1.35

  Increased Jada's pay = 15+1.35 = $16.35

2) Markup = selling price - cost= $350 - 200= $150

   Markup % = \frac{sale price - cost }{cost}*100 \

                      = \frac{150}{200}*100 = 75%

3) Jada's sister commission is 3.5% of $7000

          = \frac{3.5}{100}* 7000

           = $245  

5 0
3 years ago
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