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charle [14.2K]
3 years ago
11

Need help with question 15

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

68 degrees

Step-by-step explanation:

triangle = 180 degrees

<BFD = 180 - 90 - 22 = 68 degrees

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When solving a system of equations of A and B, we get no solution. When solving B and C, the solution is (0,3). When solving A a
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Step-by-step explanation:

How do we set about finding the points in which two graphs y = f(x) and y = g(x) intersect?

We already know how to find where the graph of f(x) cuts the x−axis. That’s where y = 0. We calculate it by solving the equation  f(x) = 0 .

When the graphs of y = f(x) and  y = g(x)  intersect , both graphs have exactly the same x and y values. So we can find the point or points of intersection by solving the equation  f(x) = g(x). The solution of this equation will give us the x value(s) of the point(s) of intersection. We can then find the y value by putting the value for x that we have found into one of the original equations. That is by calculating either f(x) or g(x).

Example 1 

Calculate the point of intersection of the two lines f(x) = 2x − 1 and g(x) = x + 1.  First let’s look at a graph of the two functions. We can see the point of intersection is (2, 3).



We calculate the point of intersection by solving the equation f(x) = g(x). That is:

    2x − 1 = x + 1

    2x − x = 1 + 1

            x = 2

The y coordinate can now be found by calculating f(2):

    f(2) = 2×2 − 1 = 3

The point of intersection is (2, 3).

The example shows that we can find the point of intersection in two ways.

Either graphically, by drawing the two graphs in the same coordinate system, or algebraically by solving the equation such as the one in the above example.

Solving an equation graphically is easy with a graphical calculator or a computer program such as Excel.

Some equations cannot be solved algebraically but we can find solutions that are correct to as many significant figures as we want by using computers and calculators

4 0
2 years ago
Read 2 more answers
If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the m
zaharov [31]
12,5,13 are Pythagorean triplets..

so, missing side will be 12 inches

hope it helps


Hyp^2 = Base^2 + perpendicular^2
4 0
3 years ago
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How many years (approximately) will it take $6,000 to amount $8,000 if it is invested at an annual rate of 9.0% compounded conti
quester [9]

Answer:

It should take roughly 3.5 years

Step-by-step explanation:


6 0
3 years ago
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Which of the following functions has the largest value when x = 4?
kotegsom [21]
Answer:The function v(x) has the largest value when x = 4.
Solution:
x=4;
e(4) = 4^2 + 6×4 + 21=16+24+21=61
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v(4)>e(4)>m(4)
Therefore,The function v(x) has the largest value when x = 4.
7 0
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