Answer:
( z - 5 ) ( z - 5 )
Step-by-step explanation:
z² − 10z + 25
= z² − 5z - 5z + 25
= z ( z - 5 ) - 5 ( z - 5 )
= ( z - 5 ) ( z - 5 )
Answer:
<h3>The answer is 17.5 units</h3>
Step-by-step explanation:
Using the distance formula
<h3>
![d = \sqrt{ ({x2 - x1})^{2} + ({y2 - y1})^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7Bx2%20-%20x1%7D%29%5E%7B2%7D%20%2B%20%20%28%7By2%20-%20y1%7D%29%5E%7B2%7D%20%20%7D%20)
</h3>
the distance between (-10, 12) and (5, 3) is
<h3>
![d = \sqrt{ ({5 + 10})^{2} + ({3 - 12})^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7B5%20%2B%2010%7D%29%5E%7B2%7D%20%20%2B%20%20%28%7B3%20-%2012%7D%29%5E%7B2%7D%20%7D%20)
</h3><h3>
![d = \sqrt{ {15}^{2} + ( { - 9})^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%7B15%7D%5E%7B2%7D%20%20%2B%20%28%20%7B%20-%209%7D%29%5E%7B2%7D%20%7D%20)
</h3><h3>
![d = \sqrt{225 + 81}](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B225%20%2B%2081%7D%20)
</h3><h3>
![d = \sqrt{306}](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B306%7D%20)
</h3><h3>
![d = 3 \sqrt{34}](https://tex.z-dn.net/?f=d%20%3D%203%20%5Csqrt%7B34%7D%20)
</h3>
d = 17.492855
We have the final answer as
<h3>d = 17.5 units to the nearest tenth</h3>
Hope this helps you
Answer:
-11
Step-by-step explanation:
To evaluate an expression with variables, replace the variables with what the question tells you to.
Replace "x" with 3. Replace "y" with -2.
-x + 4y
= -(3) + 4(-2) Multiply 4 and -2 first to get -8
= (-3) + (-8) Add normally. -3 + (-8) is the same as (-3) - 8.
= -11 Answer
Therefore the solution is -11.
Answer: the original price of the shorts was $25
Step-by-step explanation:
Let x represent the original price of the shorts.
The store is having a sale in which all items are reduced by 20%. This means that the amount of discount on the shorts is
20/100 × x = 0.2x
The price of the shorts would be
x - 0.2x = 0.8x
If the sales tax is 5%, then the amount of sales tax charged is
5/100 × 0.8x = 0.04x
The final cost of the shorts would be
0.8x + 0.04x = 0.84x
Including tax, Jennifer paid $21 for a pair of shorts. This means that
0.84x = 21
x = 21/0.84
x = 25
Ask your teacher that’s all you have to do.