Answer:
35triangles
Step-by-step explanation:
Given
Total distinct points = 7
If we are to form triangles using the dots,
Total points in a triangle = 3
Using the combination rule;
number of triangles formed = 7C3
7C3 = 7!/(7-3)!3!
7C3 = 7!/4!3!
7C3 = 7*6*5*4!/4!3!
7C3 = 7*6*5/6
7C3 = 7*5
7C3 = 35
Hence the amount of triangles that can be formed is 35triangles
Answer:
9 degrees
Step-by-step explanation:
The temperatire was -3 and then rose by 12, -3 + 12 = 9
Answer:
Invertible functions
Step-by-step explanation:
An inverse of a function is one that reverses the operation of the function such that the result of the function on a variable, is reversed back to the initial variable
Therefore, when we have the the result of the function, f on x as y given as follows;
f(x) = y
The inverse of the function, g on the result, y gives the initial variable, x as follows;
g(y) = x
Example of invertible functions includes;
f(x) = x²
An example of a non-invertible function includes;
f(x) = 2·x².
Step-by-step explanation:
problem → 2^x = 4, solve for x
⇒2^x=4
⇒2^x=2^2
⇒x=2
Answer: C. (-4, -2)
<u>Step-by-step explanation:</u>
First, eliminate one of the variables and solve for the remaining variable:
2x - 5y = 2 → 3(2x - 5y = 2) → 6x - 15y = 6
3x + 2y = -16 → -2(3x + 2y = -16) → <u> -6x - 4y = 32</u>
-19y = 38
y = -2
Next, replace "y" with -2 into either of the original equations to solve for x:
2x - 5y = 2
2x - 5(-2) = 2
2x + 10 = 2
2x = -8
x = -4
x = -4, y = -2
<u>Check:</u>
Plug in the x- and y-values into the other original equation:
3x + 2y = -16
3(-4) + 2(-2) = -16
-12 + -4 = -16
-16 = -16 
