Answer:
50°
Step-by-step explanation:
An inscribed angle is half the measure of its intercepted arc. Here, arc AC is ∠B's intercepting arc. Arc AC is 100°, and 100/2 = 50, so ∠B is 50°.
The time taken for the ball to fall a distance of 10feet is 1.25secs
Given the function modeled by the height expressed as:
f(t) =-16t² + 35
In order to determine the time taken by the all to fall a distance of 10 feet, hence;
f(t) = 10
10 = -16t² + 35
-16t² = 10 - 35
-16t² = -25
-t² = -25/16
t² = 25/16
t = √25/16
t = 5/4
t = 1.25secs
Hence the time taken for the ball to fall a distance of 10feet is 1.25secs
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Yes.
You can’t do that anymore and you don’t need
The linear equation that models the value of the investment in the year x is y = 574x + 2700
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let y be the value of the investment in the year x, where x = 0 represents 1992
An investment is worth $2700 in 1992 (x = 0). By 1997 (x = 5) it has grown to $5570, hence:
y - 2700 = [(5570 - 2700)/(5 - 0)](x - 0)
y = 574x + 2700
The linear equation that models the value of the investment in the year x is y = 574x + 2700
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It takes some trial and error
To find the factored form, you know that the format will look like
(x^n +/- a) (x^n +/- b)
Since the expanded form has x^4, the first part of each expression in parentheses will be x^2 because x^2 * x^2 will give you x^4
Then you have to figure out, how will you get -9 in the expanded form? The "a" and "b" parts of each expression will have to multiply to equal -9.
Factors of -9 will be -3*3 or -1*9 or -9*1
Also, consider the 8x^2 part - as it relates to finding the factors of 9. The parts of the expression that result in 8x^2 in the expanded form ...
a*x^2 + b*x^2 = 8x^2
If you think about this, you know the a and b will = -1 and 9 because you also have to add the expressions with x^2 to get 8x^2, and 3 and 3 would not give you the 8x^2 and neither would nor would -9 and 1.
Final factored form is
(x^2 - 1) (x^2 + 9)
