Answer:
Hello,
Step-by-step explanation:
![A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\](https://tex.z-dn.net/?f=A%3D%281%2C2%29%5C%5CB%3D%280%2C-1%29%5C%5C%5Coverrightarrow%7BAB%7D%3D%28%280%2C-1%29-%281%2C2%29%3D%28-1%2C-3%29%5C%20%7C%7C%5Coverrightarrow%7BAB%7D%7C%7C%5E2%3D1%2B9%3D10%5C%5C%5Coverrightarrow%7BBC%7D%3D%28%283%2C-2%29-%280%2C-1%29%3D%283%2C-1%29%5C%20%7C%7C%5Coverrightarrow%7BBC%7D%7C%7C%5E2%3D9%2B1%3D10%5C%5C%5C%5CTriangle%5C%20is%5C%20isosceles.%5C%5C%5C%5C%5Coverrightarrow%7BAB%7D.%5Coverrightarrow%7BBC%7D%3D%28-1%2C-3%29%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%5C%5C-1%5Cend%7Barray%7D%5Cright%5D%20%3D-3%2B3%3D0%5C%5C%5C%5CTriangle%20%5C%20is%5C%20right.%5C%5C%5C%5C)
Answer:
186.5 + 2x
Step-by-step explanation:
First, radify 25. Luckily it's a perfect square so it will be 5.
Second, divide within the parentheses. You're expression should look like this.
(93-5+x+42/8)2
Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.
Third, solve within the parentheses from left to right. Right now you're expression should look like this:
(93-5+x+5.25)2
Add all like terms
93-5+5.25=93.25
Fourth, multiply. Right now the expression should look like this:
(93.25 + x) 2
186.5 + 2x
72cm
you multiply the outside length (6cm each) by how many there are
Answer:
(
,
)
Step-by-step explanation:
For this you use the midpoint formula
the points would be (2,1) and (5,2)
The midpoint would be (,)
Answer:
23.24 feet
Step-by-step explanation:
Use the pythagorean theorem: a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.
In this situation, the ladder is the hypotenuse of the triangle, and the distance from the base of the building is the long leg.
Plug in the ladder length as c and plug in the distance from the base of the building as a:
a² + b² = c²
(6²) + b² = (24)²
36 + b² = 576
b² = 540
b = 23.24
So, the ladder reaches approximately 23.24 feet up the wall
