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Lisa [10]
3 years ago
13

A rectangular picture frame has a length that is 6 cm greater than the width. The total perimeter is 36

Mathematics
1 answer:
Elan Coil [88]3 years ago
3 0

Answer:

Step-by-step explanation:

width= x

length= x+6

perimter  = 2x+ 2(x+6)

36= 2x+ 2x+ 12

36= 4x + 12

36-12= 4x

4x= 24

x= 6

therefore width= 6cm

length= 6+6 = 12

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If F(x)=x^3+5x and G(x) =2x+1, find F(5) + G(6)​
schepotkina [342]

Answer:

F(5)+G(6)=163

Step-by-step explanation:

We were given that:

F(x)=x^3+5x and G(x)=2x+1

When x=5

F(5)=5^3+5*5

F(5)=125+25=150

When x=6

G(6)=2*6+1

G(6)=12+1=13

This implies that:

F(5)+G(6)=150+13=163

3 0
4 years ago
Write the equation of the graph which is the reflection of y=−|x−1|−1 about the origin
Norma-Jean [14]

Answer:

f(x) = |x + 1| + 1

Step-by-step explanation:

A reflection over the y-axis followed by a reflection over x-axis is equivalent to a reflection about origin.

f(x) = -|x-1| -1

reflection over the x-axis:

-f(x) = (-1)*(-|x-1| -1) = |x-1| +1

reflection over the y-axis of the previous function:

-f(-x) = |-x-1| +1 = |x + 1| + 1

which is the reflection of f(x) about the origin

6 0
3 years ago
Rearrange the equation so b is the independent variable 4a+b=−52
Andrej [43]

Answer:

b=-4a-52 or -b=4a+52

Step-by-step explanation:

because you can subtract 4a to the other side or you can subtract 52 to the other side then subtract b to get the second equation.

hope this helps :)

8 0
3 years ago
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Jason buys 10 of the 30 raffel tickets. What is the probibility that Jason will win all three prizes if once a raffel ticket win
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I well try to help you
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Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)?
tiny-mole [99]

Answer:

x = 0

Step-by-step explanation:

-2(2 − 2x) = 4 − 8(1 − x)

Apply the distributive property:

−2(2 − 2x) = 4 − 8(1 − x)

(−2)(2) + (−2)(−2x) = 4 + (−8)(1) + (−8)(−x)

−4 + 4x = 4 + (−8) + 8x

Combine like terms:

4x − 4 = (8x) + (4+−8)

4x − 4 = 8x + (−4)

4x − 4 = 8x − 4

Subtract 8x from both sides:

4x − 4 − 8x = 8x − 4 − 8x

−4x − 4 = −4

Add 4 to both sides:

−4x − 4 + 4= −4 + 4

−4x = 0

Divide both sides by -4:

-4x/-4 = 0/-4

<u>x = 0</u>

6 0
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