The math translation is: x^2-4x=12
So then you can subtract 12 from both sides and solve as a quadratic equation.
X^2-4x-12=0
This factors into:
(X-6)(x+2)=0.
So then the answer would be 6 or -2.
From the description given for the triangle above, I think the type of triangle that is represented would be a right triangle. This type of triangle contains a right angle and two acute angles. In order to say or prove that it is a right triangle, it should be able to satisfy the Pythagorean Theorem which relates the sides of the triangle. It is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse or the longest side and a, b are the two shorter sides.
To prove that the triangle is indeed a right triangle, we use the equation above.
c^2 = a^2 + b^2
c^2 = 20^2 = 10^2 + (10sqrt(3))^2
400 = 100 + (100(3))
400 = 400
Answer:
Answers for 19, 20, 22, 24, and 25.
Step-by-step explanation:
19. 23x - 16 + 8x - 21 = 180
x = 7
23 (7) - 16 = 7y - 23
y = 24
20. 10x -17 = 8x + 1
x = 9
6y + 29 + 73 = 180
y = 13
22. 8x - 35 + 6x - 5 + 3x - 1 = 180
x = 13
24. m<R is 74
m<Q is 32
25. m<E is 37
m<G is 37
I didn't know the answers for all, but I hope this helps in some way!
Since q+d=19, we can re-write this as d=19-q. Using the second equation 0.25q+0.1d=4 we can multiply both sides by 100. So we get 25q+10d=400. So now we can plug d=19-q into 25q+10d=400. So now we get, 25q+190-10q=400. Subtracting both sides by 190, we get 15q=210 and that q=14 plugging that in d=5
Answer:
subtracting 40 from both sides of the equation
Step-by-step explanation:
