Answer: The area is 15 square units
Step-by-step explanation: It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.
Use the differences in x-values of points C & A to get the length of the base: 2-(-3) is 5
Use the differences in y-values of points B & C to get the height:
4-(-2) = 6
Area = bh/2
A = 5×6/2 = 30/2
A = 15 square unts
The factors are 3x, 4x^2-3 and 5x+2
So, Option B, C and F are correct.
Step-by-step explanation:
We need to find factors of the expression 
Solving the expression: 
Taking 3x common:

Now, factor by grouping, the terms inside the bracket.



So, the factors are 3x, 4x^2-3 and 5x+2
So, Option B, C and F are correct.
Keywords: Finding Factors
Learn more about finding factors at:
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An equilateral triangles has 3 equal sides and 3 equal angles.
All the angles of an equilateral triangle have a measure of 60 degrees.
Using the Pythagorean theorem, the length of the hypotenuse squared is the length of one leg squared plus the length of another leg squared.
Here's the equation for the Pythagorean theorem.
Let c be the length of the hypotenuse.
Let a and b be the length of the two legs.
a^2 + b^2 = c^2
Have an awesome day! :)
Step-by-step explanation:
Given:
Function 'f' with two variables 'x' and 'y'.
To find:
Function rule if the parent function 'f' is rotated by 270° clockwise.
Solution:
A function given with two variables 'x' and 'y',
f(x,y) → (x, y)
If this function is rotated by 270° clockwise, the function rule will become,
f(x, y) → (-y, x)
Therefore, Option A will be the correct option.