Answer:
![d=2\sqrt{17}\approx8.2462](https://tex.z-dn.net/?f=d%3D2%5Csqrt%7B17%7D%5Capprox8.2462)
Step-by-step explanation:
To find the distance between two points, use the distance formula.
The distance formula is:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2)
Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:
![d=\sqrt{(5-3)^2+(4--4)^2](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285-3%29%5E2%2B%284--4%29%5E2)
Simplify:
![d=\sqrt{(2)^2+(8)^2](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282%29%5E2%2B%288%29%5E2)
Square:
![d=\sqrt{4+64}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B4%2B64%7D)
Add:
![d=\sqrt{68}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B68%7D)
Simplify:
![d=\sqrt{4\cdot17}=\sqrt4\cdot\sqrt{17}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B4%5Ccdot17%7D%3D%5Csqrt4%5Ccdot%5Csqrt%7B17%7D)
Simplify:
![d=2\sqrt{17}\approx8.2462](https://tex.z-dn.net/?f=d%3D2%5Csqrt%7B17%7D%5Capprox8.2462)
Answer:
A decimal is a fraction written in a special form. ... Decimal comes from the Latin word decimus, meaning tenth, from the root word decem, or 10. The decimal system, therefore, has 10 as its base and is sometimes called a base-10 system. Decimal can also specifically refer to a number in the decimal system.
Step-by-step explanation:
According to google
Answer:
There will be 4 blue marbles
Step-by-step explanation:
Yellow to blue marbles is in a ratio of:
5:10
the representative sample is:
2:x
simplee cross multiplication can be aplied
5x = 2*10
5x = 20
divide both sides by 5
x = 4
there should be four blue marbles
Answer:12
Step-by-step explanation:
12x9=108
108-7=101
Your welcome
Answer:
X= -1 or X= -3 . Probably the first one
Step-by-step explanation: