Y - y1 = m( x - x1); where m = (y2 - y1)/(x2 - x1);
We have m = (6-0)/(7-5) = 6 / 2 = 3 ;
The equation of the line is: y - 0 = 3(x-5);
Finally: y = 3x - 15.
Answer:
Step-by-step explanation:
<u>The side of the square is w/2, then its area is:</u>
<u>The shaded area is the difference of areas of the rectangle and the square:</u>
<u>This can be simplified:</u>
- 56w - w² = 336
- w² - 56w + 336 = 0
Answer:
n=8
Step-by-step explanation:
6(n-4)=3n
6n-24=3n
-24=-3n
n=8
Answer:
x = -1
Step-by-step explanation:
-4(3x-7) =40
Divide each side by -4
-4(3x-7)/-4 =40/-4
3x-7 = -10
Add 7 to each side
3x-7+7 = -10+7
3x = -3
Divide each side by 3
3x/3 = -3/3
x = -1
We evaluate b^2 - 4ac. If the answer is positive, then there are two real solutions. If it is zero, there is one real solution. If it is negative, there are 2 complex solutions. In this equation, a = 1, b = 5, c = 7. Now we plug in the numbers.

Because this answer is positive, there are two real solutions.