Answer:
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Answer:
3rd and 4th options are correct that is 24 hours per day and 7 days per week.
Step-by-step explanation:
We need to find the conversion factors that can be used to find number of hours in a week.
We know that,
Number of hours in a day = 24
and
Number of days in a week = 7
So, Number of hours in 7 days = 24 × 7 = 168.
Therefore, 3rd and 4th options are correct that is 24 hours per day and 7 days per week.
Well,
If the slope of the lines are the same, then the lines are parralel.
We need to manipulate 2y - 10x = 4 into y = mx + b form.
Add 10x to both sides
2y = 10x + 4
Divide both sides by 2
y = 5x + 2
Do the same thing with the other equation.
Add 2 to both sides
y = 5x + 2
y = 5x + 2
It appears that, not only are they parallel, but they lie on exactly the same line! If this was a System of Simultaneous Linear Equations, then there would be an infinite number of solutions!<span />
Answer:
steps below
Step-by-step explanation:
1. use ruler to draw a segment of 4 units AB
2. center the compasses needle at A and draw arc with radius of 5 and intersect with another arc centered at B with radius of 3 at point C
3. center the compasses needle at B and draw arc with radius of 4.5 and intersect with another arc centered at A with radius of 2.5 at point D
4. connect BC, CD and AD to form quadrilateral ABCD
The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.
In order to find that, we need to start by taking our x intercept values and setting them equal to zero.
x = 6 ----> subtract 6 from both sides
x - 6 = 0
x = -4 ----> add 4 to both sides
x + 4 = 0
Now that we have both of these zero terms, we can multiply them to get a standard form.
f(x) = (x - 6)(x + 4)
And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.
f(x) = 5(x - 6)(x + 4)
f(x) = 5(x^2 - 6x + 4x - 24)
f(x) = 5(x^2 - 2x - 24)
f(x) = 5x^2 - 10x - 120
