Answer:
The answer is
<h2>
![\sqrt{349} \: \: units](https://tex.z-dn.net/?f=%20%5Csqrt%7B349%7D%20%20%5C%3A%20%20%5C%3A%20units)
</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
<h3>
![d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7Bx1%20-%20x2%7D%29%5E%7B2%7D%20%2B%20%20%28%7By1%20-%20y2%7D%29%5E%7B2%7D%20%20%7D%20%20%20%5C%5C%20)
</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-7,-2) and (11,3)
The distance between the points is
<h3>
![d = \sqrt{ ({ - 7 - 11})^{2} + ({ - 2 - 3})^{2} } \\ = \sqrt{ ({ - 18})^{2} + ({ - 5})^{2} } \\ = \sqrt{324 + 25} \\](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7B%20-%207%20-%2011%7D%29%5E%7B2%7D%20%2B%20%20%28%7B%20-%202%20-%203%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%28%7B%20-%2018%7D%29%5E%7B2%7D%20%2B%20%20%28%7B%20-%205%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B324%20%2B%2025%7D%20%20%5C%5C%20%20)
</h3>
We have the final answer as
<h3>
![\sqrt{349} \: \: units](https://tex.z-dn.net/?f=%20%5Csqrt%7B349%7D%20%20%5C%3A%20%20%5C%3A%20units)
</h3>
Hope this helps you
Answer:
nothing can be further done with this topic. please check the expression entered or submit a picture for futher understanding
Step-by-step explanation:
Step-by-step explanation:
10 gallons of gas is $29.50
10 gallons of gas = $29.50
10 gallons of gas / 10 = $29.50 / 10
1 gallon of gas = $2.95
Per x gallons of gas,
1 gallon of gas * x = $2.95 * x
x gallons of gas = $2.95 * x
Answer:
y = 1/2x - 3
Step-by-step explanation:
the slope:
![m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-4-%28-1%29%7D%7B-2-4%7D%20%3D%5Cfrac%7B-4%2B1%7D%7B-6%7D%20%3D%5Cfrac%7B-3%7D%7B-6%7D%20%3D%5Cfrac%7B3%7D%7B6%7D%20%3D%5Cfrac%7B1%7D%7B2%7D)
the equation:
with the point (4, -1)
![y-(-1)=\frac{1}{2} (x-4)](https://tex.z-dn.net/?f=y-%28-1%29%3D%5Cfrac%7B1%7D%7B2%7D%20%28x-4%29)
![y+1=\frac{1}{2}x-2](https://tex.z-dn.net/?f=y%2B1%3D%5Cfrac%7B1%7D%7B2%7Dx-2)
![y=\frac{1}{2} x-2-1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%20x-2-1)
![y=\frac{1}{2} x-3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%20x-3)
I hope this help you
Answer:
There are 15 combinations.
Step-by-step explanation:
A restaurant is offering a dinner special that includes one starter and one entree.
Starter: bread-sticks, soup, salad
Entree: beef, fish, chicken, shrimp, pork
So, we have 3 starters and 5 entrees.
To know the possible dinner special combinations we will simply multiply the two.
![3\times5=15](https://tex.z-dn.net/?f=3%5Ctimes5%3D15)
Therefore, there are 15 combinations.