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2 years ago

Translate the shape A four squares right and two squares up.

Mathematics

1 answer:

GenaCL600 [577]2 years ago

4 0

If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-3, 6), (-3, 3) and (-1, 3)

<h3>Translation of coordinates</h3>

Translation is a way of changing the position of an object on the xy plane

Given the coordinates of the vertices (1, 4), (1, 1), (3,1)

If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-3, 6), (-3, 3) and (-1, 3)

Note that 4 was subtracted from the x-axis and 2 added to the y-coordinates.

Learn more on translation here: brainly.com/question/12861087

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Mazyrski [523]

Answer:

If, a = 2 and b = 3

It's not equivalent.

<h3>Diego</h3><h3> $4a + 9b = 7a + 5b - 3a + 4b \\ 4(2) + 9(3) = 7(2) + 5(3) - 3(2) + 4(3) \\ 8 + 27 = 14 + 15 - 6 + 12 \\ 35 = 35 \\$ </h3>

It's equivalent.

The correct equation is 4a + 9b.

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3 years ago

The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m

jeka94

9514 1404 393

Answer:

8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

V = 4/3πr^3

V' = 4πr^2·r'

For the given numbers, this is ...

V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

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3 years ago

A bag contains colored eggs.

emmasim [6.3K]

Answer:

.25

Step-by-step explanation:

2 eggs are pink

4 eggs are purple

2 eggs are orange

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

8 total eggs

P( orange) = orange eggs/ total eggs

= 2/8

= 1/4

= .25

3 0

3 years ago

What is the equation for the translation of X^2+y^2=9 four units to the right and three units down

icang [17]

We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)

the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²

see the attached figure

4 0

4 years ago

Identify the natural number that is closest to 14‾‾‾√.<br><br> A 4<br> B 14<br> C 5<br> D 3

WINSTONCH [101]

Answer:

Step-by-step explanation:

$\sqrt{14}$ = 3.74165738677

≈4

the number 7 before de "." being greater than 5 rounds up to the next number, in this case 4

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3 years ago