Answer:
y = 2/3x + 6
Step-by-step explanation:
If two lines are parallel, that means their slopes are the same.
Rewrite 2x - 3y = 15 to y = 2/3x - 5
The slope is 2/3, so the answer should have a slope of 2/3 as well.
The equation is now y = 2/3x + b
To find b, substitute (-3,4)
y = 2/3x + b
4 = 2/3(-3) + b
4 = -2 + b
6 = b
So the equation is y = 2/3x + 6
Using the Theorem of Pythagoras (a² + b² = c²)
Put in the values:
12² + 12² = 28²
Is it correct? (solve)
Nope! Because 12² + 12² = 288, and the square root of 288 is about 17, not 28.
The answer is no, 12cm, 12cm, 28cm cannot form a triangle.
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
Answer:
equation d
Step-by-step explanation:
The equation that represents the given data is ![\RM \\f(x) = -\sqrt[3]{-x} ,](https://tex.z-dn.net/?f=%5CRM%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7B-x%7D%20%2C)
Option D is the correct answer.
<h3>What is a Function ?</h3>
It is a statement where two variables , one dependent and one independent are related.
It is given that
a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).
The equation given in the options are
![\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}](https://tex.z-dn.net/?f=%5Crm%20f%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx%7D%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx-1%7D%20%5C%5Cf%28x%20%29%20%3D-%5Csqrt%5B3%5D%7B-x%7D%20-1%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7B-x%7D)
The function goes through (8,2)
Substituting the values
f(x) = -2
f(x) = ![\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D)
f(x) = -3
f(x) = 2
The equation that represents the given data is
Option D is the correct answer.
To know more about Function
brainly.com/question/12431044
#SPJ1
Answer:
The length of AA' = √29 = 5.39
Step-by-step explanation:
* Lets revise how to find the length of a line joining between
any two points in the coordinates system
- If point A is (x1 , y1) and point B is (x2 , y2)
- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]
* Lets use this rule to solve the problem
∵ Point A is (0 , 0)
∵ Point A' = (5 , 2)
∵ (x2 - x1)² = (5 - 0)² = 5² = 25
∵ (y2 - y1)² = (2 - 0)² = 2² = 4
∴ The length of AA' = √(25 + 4) = √29 = 5.39
