The figure gives a dimension for the hypotenuse of 19
the height is given as 17, using the Pythagorean theorem we can find the base of the triangle:
19^2 = 17^2 + base^2
Simplify:
361 = 289 + base^2
Subtract 289 from both sides:
72 = base^2
Take the square root of both sides:
Base = 8.49 Round to 8.5
There are two identical triangles on each sides, so 8.5 x 2 = 17
The length of the two triangle bases is 17
The total base of the object is 31, so the length of the rectangular part in the middle would be 31 - 17 = 14
And X would be the same length as the bottom rectangle.
Therefore x = 14
Given
How to factor
Solution
Step 1
Multiply the first and last costant
Step 2
Write out all the pair factors of -6x^2
Step 3
Check for the pair, such that when you add you will get -x
Step 4
Replace -x with -3x+2x in the equation
Step 5
Put them into brackets Since + is at the center no stress.
Step 6
Factor out what is common in the bracket
Step 7
What is in the bracket are the same, pick one
F(x)=2x³+x-3
f(-2)=2(-2)³+(-2)-3
f(-2)=2(-8)-2-3
f(-2)=-16-2-3
f(-2)=-18-3
f(-2)=-21. As a result,C is your final answer. Hope it help!
This is what the graph looks like hope this helps:)
