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Papessa [141]
3 years ago
9

on a coordinate plane, line segment AB has a length of 12 units. AB is translated 5 units up, resulting in line segment A’B’. Wh

at is the length of A’B’?
Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

Answer:

  • 12 units

Step-by-step explanation:

<u>Given</u>

  • Line segment AB = 12 units

Translation of AB → A'B' by the rule T(x +0, y+5)

This translation won't change the length of A'B' as the difference in (x2-x1) and (y2-y1) stays same because x-coordinate stays as is and y-coordinate's change cancelled when subtracting

So A'B' = 12 units

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aul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt
vodomira [7]

Set up a system of equations:


\text{Total shirts bought}

x + y = 9


\text{Total cost}

10x + 7y = 72


x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.


For the first equation, subtract y from both sides to get x by itself:


x = 9 - y


We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:


10(9-y) + 7y = 72


Distribute the 10 to both terms in parentheses:


10 \times 9 = 90

10 \times -y = -10y


90 - 10y +7y = 72


Combine like terms:


-10y + 7y = -3y

90 - 3y = 72


Subtract 90 from both sides:


-3y = -18


Divide both sides by -3 to get y by itself:


y = 6


6 long sleeve shirts were bought.


Now you have a value for y. Input this value into the first equation:


x + 6 = 9


Subtract both sides by 6 to get x by itself:


x = 3


3 tee shirts were bought.


The answer is B. 3 tee shirts and 6 long sleeve shirts.

4 0
3 years ago
Read 2 more answers
What is the sum of the series? Write in expanded form making sure to show all steps used to find the sum
pantera1 [17]

Answer:

-16

Step-by-step explanation:

k = 3

-2(3) + 5 = -1

k = 4

-2(4) + 5 = -3

k = 5

-2(5) + 5 = -5

k = 6

-2(6) + 5 = -7

(-1) + (-3) + (-5) + (-7)

= -16

3 0
2 years ago
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2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
shepuryov [24]

Answer:

Step-by-step explanation:

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= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}

7 0
2 years ago
What is 1/3 multiply by 5​
Irina-Kira [14]

Answer:

\frac{5}{3}

hope that helps uhh :)

3 0
2 years ago
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Which inequality is represented by this graph? A number line going from 1 to 9. A closed circle is at 4. Everything to the right
Fofino [41]

Answer:

x ≥ 4

Step-by-step explanation:

Since there is a closed circle at x = 4, this indicates that x can be equal to 4

The line to the right is shaded indicating values of x greater than 4

Thus x ≥ 4 ← is the inequality represented in the number line

4 0
2 years ago
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