Answer:
The length of BC is √105 cm or 10.2 cm.
Step-by-step explanation:
You have to apply Pythagoras Theorem, c² = a² + b² where c represents hypotenuse, a and b are the sides :
Answer:
x =- 6, x = 7
Step-by-step explanation:
Given
g(x) = (x - 7)x + 6)
To find the zeros let g(x) = 0, that is
(x - 7)(x + 6) = 0
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 7 = 0 ⇒ x = 7
2 3/5 = 1 5/6 + x
x = 2 3/5 - 1 5/6 = 23/30 hours he spent on oral competition
Answer:
Solution: (-6,-3) See graph attached.
Step-by-step explanation:
Solve by graphing means to graph each equation and find the intersection.
The first equation y=2x+9 is already in y=mx+b. To graph, find 9 on the y-axis and mark a point. This is b and the y-intercept. Then from 9 count up 2 units and to the right 1 unit. The slope 2 determines this point. Mark the point at (11,1). Connect the two points.
To graph the second, convert to y=mx+b using inverse operations to solve for y.
5x-10y=0
-10y=-5x
y=1/2 x
Start at (0,0) and mark a point. This is the y-intercept. To find the next point count up 1 unit and to the right 2 units. The slope is 1/2 and tells us this direction. Mark the point at (1,2). Connect the points.
The solution is the (x,y) point where they intersect. The point is (-6,-3).