Answer:
The answer is (-5/24, -7.5).
Step-by-step explanation:
There are two methods to solving a system of equations - substitution or elimination. In this example, we can use elimination since the coefficients of 'x' are opposite signs. To complete elmination, we simply add the equations together:
-12x - 5y = 40
<u>+ 12x - 11y = 80</u>
-16y = 120
Use inverse operations to solve for 'y' by dividing both sides by -16 to get y = -7.5.
Next, plug in the value of 'y' into one of the equations and solve for 'x':
-12x - (5)(-7.5) = 40 or -12x + 37.5 = 40, now subtract 37.5 from both sides: -12x + 37.5 - 37.5 = 40 - 37.5 or -12x = 5/2. Lastly, divide both sides by -12 to solve for x, x = -5/24.
Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
Answer:
he will ride 81 miles in 5 hrs
Step-by-step explanation:
if he rides 18 miles in 2hrs then multiply 18x4 which is 72
then for the last hour split 18 in half which is 9.
then 72 + 9= 81 miles in 5 hrs
Answer:
157394
Step-by-step explanation:
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