d =sqrt ((x2-x1)^2 +(y2-y1)^2)
sqrt((12-2)^2 +(7--3)^2)
sqrt(10^2+10^2)
sqt(100+100)
sqrt(200)
sqrt(100)sqrt(2)
10sqrt(2)
Choice B
Answer:
Daisies: Clear vase
Carnations: Red vase
Sunflowers: Blue vase
Step-by-step explanation:
Your using all the objects and is is in all the combinations.
Given QR is congrent to LN and QR = 4x + 2 and LN = x + 7.
So, QR = LN
Hence, we can set up an equation as following:
4x + 2 = x + 7
4x + 2 - x = x + 7 - x Subtract x from each sides.
3x + 2 = 7 By simplifying.
3x + 2 - 2 = 7 - 2 Subtract 2 from each sides.
3x = 5
Divide each sides by 3 to isolate x.
So, ![x=\frac{5}{3}](https://tex.z-dn.net/?f=%20x%3D%5Cfrac%7B5%7D%7B3%7D%20)
Next step is to plug in
in QR = 4x+2 to get length of QR.
So, ![QR = 4(\frac{5}{3})+2](https://tex.z-dn.net/?f=%20QR%20%3D%204%28%5Cfrac%7B5%7D%7B3%7D%29%2B2%20)
Since 2 can be written as 2/1.
By multiplying the second fraction by the common denominator 3.
By simplifying the second fraction.
![=(\frac{26}{3})](https://tex.z-dn.net/?f=%20%3D%28%5Cfrac%7B26%7D%7B3%7D%29%20)
So, ![QR=\frac{26}{3}](https://tex.z-dn.net/?f=%20QR%3D%5Cfrac%7B26%7D%7B3%7D%20)