Answer:
x= 14/27
Step-by-step explanation:
hope that helped :)
Answer:
(2,1)
Step-by-step explanation:
We can see that the given triangle.
The coordinates of A are (-1,5) .
The coordinates of B are (-1,-3).
The coordinates of C are (5,-3).
Distance formula: ![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
AB=
units
BC=
units
AC=
units
Pythagoras theorem:![(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2}](https://tex.z-dn.net/?f=%28Hypotenuse%29%5E2%3D%28Base%29%5E2%2B%28Perpendicular%5C%3Bside%29%5E2%7D)
![AB^2+BC^2=8^2+6^2=100](https://tex.z-dn.net/?f=AB%5E2%2BBC%5E2%3D8%5E2%2B6%5E2%3D100)
![AC^2=(10)^2=100](https://tex.z-dn.net/?f=AC%5E2%3D%2810%29%5E2%3D100)
Therefore, ![AC^2=AB^2+BC^2](https://tex.z-dn.net/?f=AC%5E2%3DAB%5E2%2BBC%5E2)
When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.
Hence, the given triangle is a right triangle.
We know that circum-center of right triangle is the mid point of hypotenuse.
Mid-point formula:![x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2Cy%3D%5Cfrac%7By_1%2By_2%7D%7B2%7D)
Using this formula then, we get
Mid-point of hypotenuse AC is given by
![x=\frac{-1+5}{2}=2,y=\frac{5-3}{2}=1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-1%2B5%7D%7B2%7D%3D2%2Cy%3D%5Cfrac%7B5-3%7D%7B2%7D%3D1)
Hence, the circum-center of triangle is (2,1).
Answer:
8
Step-by-step explanation:
your welcome hope this helps :)
Mark would $76.00 off his commissions
What is the total sales revenue of 19 flags?
The fact that the commission of 8% is dependent on the sales amount, we need to first of all determine the total sales revenue earned by selling 19 flags
total sales revenue=19*$50
total sales revenue=$950
commission on sales=8%*sales revenue
commission on sales=8%*$950
commission on sales=$76.00
Find out more about sales commission on:https://brainly.in/question/5649849
#SPJ1
Answer: 3.5 pounds
Step-by-step explanation:
3 s + 7 h = 32 s = shoes h= hand grenades
6 s + 2 h = 22 Multiply first equation by -2 and add to second equation to get :
-12 h = -42
h = 3.5 pounds
sorry if this was late