Answer:
It would take them 6 hours to fill an empty tank.
Step-by-step explanation:
Add the amount of time it takes Pipe A and Pipe B to fill an empty tank together (5 + 7) and then divide your sum by two. You should get 12 / 2 = 6.
<em>Hope This Helps!</em>
Set them into slope-intercept forms of equations then set those equations equal to each other and solve for x and y. y = 34x - 5 and y = -14x+3. Set those equal to each other, solve for x to get x = 1/6. Sub in that x value to get y = 2/3. The point where they intersect is the solution of the system; in other words, where on both lines we have the exact same (x, y) value.
Answer:
3/8 + 1/4 is 5/8 and 1/10+4/5 is 1
Step-by-step explanation:
convert 1/4 to 2/8 and add to 3/8 to get 5/8
convert 4/5 to 9/10 and add to 1/10 equals 10/10 which is also 1
Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
<em>
</em>
Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) =
= 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) =
= 0.866
b = (8)(0.866)= 6.928
By simple substitution on the left side and on the right side of the given equation, we have to
For <span>coordinates (-3,-9)
-9</span><span>=−8|-3+3|−9
-9</span><span>=−8|0|−9
</span> -9=−9
Therefore, it is demonstrated that<span> the coordinates of the vertex is
(-3,-9)</span>