We know that
Triangle Inequality Theorem establishes that the sum of the lengths of any two sides of a triangle<span> is greater than the length of the third side
</span>so
case <span>A. 5M, 11M, 7M
5+11 > 7----> ok
11+7 > 5 ---> ok
5+7 > 11----> ok
case </span><span>B.10 m, 4 m, 5 m
5+4 > 10-----> is not ok
case </span><span>C.8 m, 4 m, 4 m
4+4 > 8----> is not ok
case </span><span>D.6 m,11 m, 5 m
6+5 > 11-----> is not ok
the answer is
</span><span>A. 5M, 11M, 7M</span>
Here is the answer for prove that cos theta by 1 minus tan theta + sin theta by 1 minus cot theta equal to sin theta + cos theta
It is true because if a is perpendicular to b and b is perpendicular to c therefore a has to be perpendicular to c also they said that all three lines are coplanar therefore the statement must be true
I hope this helped you out :)
The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .
For this case we have the following quadratic equation:
The solutions will be given by:
Where:
Substituting the values we have:
We have two roots:
ANswer:
