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son4ous [18]
3 years ago
15

Jose has 4 times as many trading scares as Philippe. After Jose gave away 50 cards to his little brother and Philippe gave 5 car

ds to his friend for his birthday, they each had an equal amount of cards. Write a system to describe the situation and solve the system.
Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

jose's cards: x

philippe's cards: y

5x=y

5x-50=y-5

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7 0
2 years ago
Solve by factoring. p⁴=-25p²​
3241004551 [841]

Answer:

p=5i

Step-by-step explanation:

(p^(4)=-25p^(2))/p^(2)

p^(2)=-25

Square root both sides

p=5i

i is the square root of -1, so 5i is five times that much.

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5 0
3 years ago
Write functions for each of the following transformations using function notation. Choose a different letter to represent each f
kupik [55]

Answer:

(a)\ T_{a,b} =(x +a,y+b)

(b)\ F_{y\ axis} = (-x,y)

(c)\ F_{x\ axis} = (x,-y)

(d)\ R_{o,90^o} = (-y,x)

(e)\ R_{o,180^o} = (-x,-y)

(f)\ R_{o,270^o} = (y,-x)

Step-by-step explanation:

Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

When a function is translated b units up, the number of units will be added to the y coordinate.

So, we have:

T_{a,b} =(x +a,y+b)

Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

F_{y\ axis} = (-x,y)

Solving (c): Reflect across x-axis

When a function is translated across the x-axis, the y coordinate gets negated.

So, we have:

F_{x\ axis} = (x,-y)

Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

R_{o,90^o} = (-y,x)

Solving (e): 180 degrees rotation counterclockwise

When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

R_{o,180^o} = (-x,-y)

Solving (f): 270 degrees rotation counterclockwise

When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.

So, we have:

R_{o,270^o} = (y,-x)

6 0
3 years ago
A rectangle has a perimeter of 36 inches and a width of 10 inches. What is the length of the rectangle?
leonid [27]

Answer:

8

Step-by-step explanation:

8 0
2 years ago
When I divide 58.4 by 9.6, I get the digits 6 0 8 3Explain how you can use estimation to correctly place the decimal point. Be s
Anastaziya [24]

Answer:

See below

Step-by-step explanation:

58.4/9.6 can be rewritten as 58/10=5.8, so the decimal point will go between the first and second digits. Therefore, 58.4/9.6=6.083

6 0
3 years ago
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