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eduard
3 years ago
11

What are the coordinates of J'?

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

F'(-\frac{10}{3},-\frac{8}{3})

or

F'(-3.33,-2.67)

Step-by-step explanation:

we know that

The coordinates of point F are (-5,-4) (see the figure)

In this problem

A dilation with a scale factor 2/3 about the origin is described using the following notation:

(x,y) ----> (\frac{2}{3}x,\frac{2}{3}y)

so

Applying the rule of the dilation to point F

F(-5,-4) ----> F'(\frac{2}{3}(-5),\frac{2}{3}(-4))

F(-5,-4) ----> F'(-\frac{10}{3},-\frac{8}{3})

F(-5,-4) ----> F'(-3.33,-2.67)

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The sum of two rational numbers is what
ludmilkaskok [199]

Answer:

Is rational

Step-by-step explanation:

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

7 0
2 years ago
Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to find the largest or smallest possible values fo
12345 [234]

9514 1404 393

Answer:

  smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

  largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

  • ax -b = c
  • dy +e = f

Then the values of x and y are ...

  x = (c +b)/a

  y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

<h3>Smallest sum</h3>

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

  • 8x -3 = 4   ⇒   x = 7/8
  • 1y +9 = 2   ⇒   y = -7

For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

<h3>Largest sum</h3>

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

  • 1x -9 = 8  ⇒   x = 17
  • 2y +3 = 7   ⇒   y = 2

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

<em>Additional comment</em>

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

8 0
3 years ago
Read 2 more answers
a farmer plowed 35 acres which yielded 5691 bushels of corn. if he plants the same type of corn in 42 acres, how many bushels sh
DENIUS [597]

Answer:

6829 bushels should be expect go harvest

7 0
2 years ago
The ratio of blue jays to Robin's was 6 to 7. If there were 84 Robins, how many blue jays were there?​
Paul [167]

Answer:

72

Step-by-step explanation:

<em>Since the ratio of blue jays to robin's was 6 to 7 then if there were 84 robins how many blue jays were there.</em>

<em>6 to 7 can also be express as 6/7</em>

<em>Thus, we can set up a proportion</em>

<em>6/7 = x/84</em>

<em>Now, we have to solve for x</em>

<em>x = 72</em>

<em>Hence, if there were 84 robin there would be 72 blue jays.</em>

<em />

<u><em>~lenvy~</em></u>

3 0
2 years ago
Y=2x+4<br> y=x=6<br> i need help solving the system of equations
Temka [501]

Answer:

X = 6

Y = 6

Step-by-step explanation:

y = x = 6

we won’t pay attention to the first equation because this equation says that:   “y = x” and “x = 6”

so, if x = 6, so will be y

3 0
3 years ago
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