Answer:
Step-by-step explanation:
You have to find the slope
Slope= y₂ - y₁ / x₂-x₁
A(3, -3), B(2, 1)
Slope of AB m₁ = 1-[-3] / 2-3 = 1+3 / -1 = 4/-1 = -4
B(2, 1) ; C(7, -2)
slope of BC m₂= -2-1 / 7-2 = -3/5
A(3, -3) ; C(7, -2)
Slope of AC m₃ = -2-[-3] / 7-3 = -2+3 / 4 = 1/4
m₁ * m₃ = -4 * (1/4) = -4/4 = -1
When the product of slope is (-1), then two lines are perpendicular.
So AB and AC are perpendicular. Δ ABC is a right-angled triangle
![f(x) = 2x + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%20%2B%203)
![y = 2x + 3](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%203)
Subtract the sides of the equation minus 3
![y - 3 = 2x](https://tex.z-dn.net/?f=y%20-%203%20%3D%202x)
Divided the sides of the equation by 2
![\frac{y - 3}{2} = x \\](https://tex.z-dn.net/?f=%20%5Cfrac%7By%20-%203%7D%7B2%7D%20%3D%20x%20%5C%5C%20%20)
So ;
![{f}^{ - 1}(x) = \frac{x - 3}{2} \\](https://tex.z-dn.net/?f=%20%20%7Bf%7D%5E%7B%20-%201%7D%28x%29%20%3D%20%20%5Cfrac%7Bx%20-%203%7D%7B2%7D%20%5C%5C%20%20%20)
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
16.6%
Step-by-step explanation:
A button with a circumference of 7.38 cm will need a buttonhole with the size of 2.35 cm.
Since the circumference is equivalent to 7.38 cm, the formula can be displayed as follows:
7.38 cm = 2<span>πr
r = 7.38cm/2</span><span>π
r= 1.1751592 cm
diameter = 2r
= 2.3503184 cm or approximately 2.35 cm</span>
Answer:
x=109 degrees
Step-by-step explanation:
so 33+39+x=180 degrees because of sum of angles in a triangle theorem. Then now you solve because of algebra