It will take them 4.24 hours together to paint the area together
Step-by-step explanation:
If Emily takes eight hours to paint the area then she will paint 1/8 of the house in one hour
Similarly, if Mike can paint the same area in 9 hours, then he will paint 1/9 of the same area
Let x be the number of hours in which they will together paint the area.
If x hours are taken by them to paint the area then 1/x of the area will be painted in one hour
So,

It will take them 4.24 hours together to paint the area together
Keywords: Linear equation, Variables
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Reflect over x-axis rule: (x,y) -> (x,-y)
(-5,3) --> (-5,-3)
(-2,-6) --> (-2,6)
(-4,-8) --> (-4,8)
A. 10g4h9
-5gh4(-2g3h5)
(-5 x -2)= 10
(g x g3)=g4
(h4 x h5)= h9
= 10g4h9
I'll just factor the above equation.
x² + 18x + 80
x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair
(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80
x+8 = 0
x = -8
x+10 = 0
x = -10
x = -8
(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0
(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0
I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
Answer:
The length of AC is 10 units
Step-by-step explanation:
In the given circle O
∵ AOCB is a rectangle
∵ OB and AC are the diagonals of the rectangle AOCB
∵ Diagonals of the rectangle are equal in lengths
→ That means OB and AC are equal in lengths
∴ OB = AC
∵ O is the center of the circle
∵ B is a point on the circle
∴ OB is a radius of the circle O
∵ The radius of the circle is 10 units
∴ OB = 10 units
∵ OB = AC
∴ AC = 10 units
∴ The length of AC is 10 units