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2 years ago

After the point B(2, 3) is translated along the vector <5, 7> the image will be located at ?

Mathematics

1 answer:

schepotkina [342]2 years ago

5 0

Answer:

(7, 10)

Step-by-step explanation:

The vector has an x component of 5 and a y component of 7, so we can add each of these components to the coordinates of B to get its image:

B(2,3)

B'(2 + 5, 3 + 7) = B'(7, 10)

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If 3 to the power y = x then y = ?

Oksanka [162]

Answer:

$y=\log_3(x)$

Step-by-step explanation:

$3^y=x$

$\ln(3^y)=\ln(x)$

$y\ln(3)=\ln(x)$

$y=\frac{\displaystyle\ln(x)}{\displaystyle\ln(3)}$

but if

$f(x)=\frac{\displaystyle\ln(x)}{\displaystyle\ln(3)}$

then since

$f(3)=\frac{\displaystyle\ln(3)}{\displaystyle\ln(3)}=1$

$f(x)=\log_3(x)$

$y=\log_3(x)$

$3^y=x$

$\log_3(3^y)=\log_3(x)$

$y\log_3(3)=\log_3(x)$

$\text{but }\,\log_3(3)=1, \text{so,}$

$y=\log_3(x)$

6 0

2 years ago

Please help p/5 = 3.1; p=

aalyn [17]

P=15.5 would be the answer

3 0

2 years ago

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FIND THE LENGTH OF MP

LekaFEV [45]

Answer:

A 67 is the correct answer sure

6 0

2 years ago

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7 freshmen, 9 sophomores, 8 juniors, and 8 seniors are eligible to be on a committee.

Setler79 [48]

Answer:

i)32C16

ii)1185408

Explanation:

i)Total number of selected/eligible is 7+9+8+8=32

Total ways of selecting dance committee of 16 is

32C16

ii)Total ways of selecting 3 seniors from 8 is 8C3

and Total ways of selecting 6 juniors from 8 is 8C6

ways of selecting 2 sopho from 9 is 9C2

ways of selecting 5 freshman from 7 is 7C5

now, total way of selection come to be

8C3×8C6×9C2×7C5

=56×28×36×21

=1185408

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6 0

3 years ago

The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of th

kondaur [170]

L=16
W=21

Set up a systems of equations:
x=length
y=width

xy=336
x+5=y

Use substitution to solve:
x(x+5)=336
x^2+5x=336

Solve using factoring:
x^2+5x-336=0
(x-16)(x+21)=0
x=16 and x= -21
Since length can't be negative, l=16

To find width, plug length into the first equation:
(16)y=336
y=21

So...
L=16
W=21

7 0

2 years ago

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