Supplementary angles because because angle 1 + angle 2 = 180° so they form a line
Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
A hot air balloon is descending at a rate of 287 feet per minute.
Thus, the rate of change m = -287
The negative sign indicates that a hot air balloon is descending.
Let y be elevation.
Let x be the time (in minutes)
As there is no mentioning of the initial height.
Thus, the y-intercept b = 0
now substituting m = -287 and b = 0
y = mx + b
y = -287x + 0
y = -287x
In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.
Thus, the total change in elevation of the balloon in 4 minutes will be:
y = -287x
y = -287(4)
y = -1148 feet
The negative sign indicates that that the elevation is decreasing.
Answer: the amount of interest that she would earn is $192.
Step-by-step explanation:
We would apply the formula for determining simple interest which is expressed as
I = PRT/100
Where
I represents interest paid on the amount of money deposited.
P represents the principal or amount of money deposited.
R represents interest rate on the deposit.
T represents the duration of the deposit in years.
From the information given,
P = $800
R = 4%
T = 6 years
Therefore,
I = (800 × 4 × 6)/100
I = $192
Let the original fraction be

Now let's increase both numerator and denominator by 2:

This produces a 1/12 increase:

The left hand side can be rearranged as

Invert both sides:

Solve the quadratic equation:

So, in the first case, the original fraction is

In the second case, we have

Considering that 12 is a root of the function, the value of coefficient Q is of 12.
<h3>What does it means that x is a root of a function f(x)?</h3>
It means that f(x) = 0.
In this problem, the function is given by:
f(x) = x² - 13x + q.
Since 12 is a root, we have that f(12) = 0, hence:
12² - 13 x 12 + q = 0
q - 12 = 0.
q = 12.
More can be learned about functions at brainly.com/question/25537936
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