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ioda
2 years ago
15

Find the inverse of f(x) = -3 -4/5x

Mathematics
1 answer:
Alenkinab [10]2 years ago
3 0

Answer:

-5/4x -15/4 = y

Step-by-step explanation:

y = -3 - 4/5x

To find the inverse, exchange x and y

x = -3 - 4/5 y

Solve for y

Add 3 to each side

x+3 = -4/5y

Multiply each side by -5/4

-5/4(x+3) = -5/4 * -4/5(y)

-5/4x -15/4 = y

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In a triangle find the Remote exterior angle given the remote interior angles are 27 and 53
Varvara68 [4.7K]

Answer:We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

We know this is true, because the sum of the angles inside a triangle is always 180 degrees. What is w? We don't know yet. But, we may observe that the measure of angle w plus the measure of angle z = 180 degrees, because they are a pair of supplementary angles. Notice how Z and W together make a straight line? That's 180 degrees. So, we can make a new equation:

w + z = 180

Then, if we combine the two equations above, we can determine that the measure of angle w = x + y. Here's how to do that:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Interesting. This tells us that the measure of the exterior angle equals the total of the other two interior angles. In fact, there is a theorem called the Exterior Angle Theorem which further explores this relationship:

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

Let's try two example problems.

Example A:

If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x.

First example of finding an exterior angle

To solve, we use the fact that W = X + Y. Note that here I'm referring to the angles W, X, and Y as shown in the first image of this lesson. Their names are not important. What is important is that an exterior angle equals the sum of the remote interior angles.

6 0
3 years ago
What would be the answer to g+3=17
andrew-mc [135]

Answer:

g = 14

Step-by-step explanation:

g + 3 = 17

minus 3 from both sides

g = 14

8 0
3 years ago
Work out the sum of the interior angles of any quadrilateral​
goldenfox [79]

Answer:

19

Step-by-step explanation:

5 0
2 years ago
Which of the following values could the number 500,000 be composed of?
OverLord2011 [107]

50000 tens

5000hundreds

How?

  • 1ten=10

50000 tens:-

\\ \sf\longmapsto 50000(10)=500000

  • 1hundred=100

5000hundreds

\\ \sf\longmapsto 5000(100)=500000

8 0
3 years ago
Read 2 more answers
What will be the result of substituting 2 for x in both expressions below?
Thepotemich [5.8K]
It’s the first answer, both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

1/2 of x +4
=1/2(2)=1.
1+4= 5

2+6=8
1/2(2)=1.
8-1=7
7-2=5
8 0
3 years ago
Read 2 more answers
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