x = 6 , x = -4 are the 2 solutions for the given equation
Step-by-step explanation:
Step 1 :
Given equation = (x-3)² - 40=9
Simplify this equation by expanding (x-3)² using the identity
(x-y)² = x² + y² - 2xy
here x = x and y = 3
Substituting we have,
x² + 9 -6x -40 = 9
=> x²-6x-40 = 9-9
=> x²-6x-40 = 0
Step 2:
We can see that the above simplified equation is quadratic equation as the power of x is 2
When we solve for x, we will get 2 values for x , which means this equation is true for 2 values of x. Hence this equation has 2 solutions.
Step 3 :
Solving for x²-6x-40 = 0
=> (x-6)(x+4) = 0
=> x-6 = 0 x +4 = 0
=> x = 6 , x = -4
Step 4 :
Answer :
x = 6 , x = -4 are the 2 solutions for the given equation
Answer:
Step-by-step explanation:
18). 3x + 2 ÷ 3x = 
Since, 3x + 2 ÷ 3x = 3x +
Therefore, right hand side of the equation will be = 3x +
20). 
Since, 
= 
Therefore, right hand side of the equation should be .
The problem statement above is simply a conversion problem. We need to convert the volume given from liters to milliliters. To do this, we need a conversion factor. <span>Conversion
factors are relation of the certain units that would allow us to convert from
one system to another. It relates the original unit to another unit. It is used
by multiplying or dividing the factor to the original value. For this, we use the 1000 mL is equal to 1 L. We do as follows:
</span><span>37,854,120 L ( 1000 mL / 1 L ) = </span><span>37,854,120, 000 mL or 3.79x10^10 mL</span>
Solution: x=5, top angle=80, bottom angle=100
Step by step solution:
Since they are same side interior angles they are equal to 180 so we can set up an equation.
19x+5+17x-5=180
36x=180
x=5
Then plug in the x value in the original equations
19(5)+5=20(5)=100
17(5)-5=16(5)=80
Hope that helps :)
