Answer:
Step-by-step explanation:
As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.
Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; (
), where (
) and (
) are the legs of the right triangle, or the sides adjacent to the right angle. (
) is the hypotenuse or the side opposite the right angle.
Substitute in the given values and solve, note that () represents the unknown leg (side).
Inverse operations,
* eq 1 by 4 and eq 2 by 3 and add
24x-12y=60
21x+12y=30
45x=90
x=2
y=-1
Divide by the constant on the right to put the equation into intercept form.
.. -3x/8 +4y/8 = 1
.. x/(-8/3) +y/2 = 1
The intercepts are (-8/3, 0) and (0, 2).
So combine all the x and the Y on the left side and the coefficients on the right and then multiply the variable (x or Y) by the number needed for both. and then whichever variable you have left (x or y) will equal the coefficient and then divide by the coefficient
Answer:
(f+g)(x)=4x+5
Step-by-step explanation:
Just add the two functions together:
(f+g)(x)=f(x)+g(x)=(10-2x)+(6x-5)=-2x+6x+10-5=4x+5
So (f+g)(x)=4x+5
