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Galina-37 [17]
3 years ago
8

The function f is defined by f(x)=3x+k, where k is a constant. Find k, if the graph of f passes through the point (−1,8).

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

k = 11

Step-by-step explanation:

f(x)=3x+k,

We know the input is -1 so replace x with -1 and the output is 8 so replace f(x) with 9

8 = 3(-1) +k

8 = -3+k

Add 3 to each side

8+3 = -3+3+k

11= k

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A triangle is inside a circle where the triangle's base is on the circle's diameter as shown. What is the area of the shaded reg
mr Goodwill [35]
I think the shaded region for this problem will the part of the circle that is not covered by the triangle. First, determine the area of the circle by the equation,
                                   A = πD²/4
Substituting the given diameter,
                                  A = π(16 ft)²/4 = 200.96 ft²
Then, determine the area of the triangle with the equation,
                                    A = bh/2
Since the base of the triangle is the diameter, b = 16 ft. Then, its height will be half the height and that will be equal to 8 ft. Substituting,
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5 0
4 years ago
Read 2 more answers
Find m∠7 if m∠8 = 119°<br> m∠7 = ???
natka813 [3]

Answer:

119

Step-by-step explanation:

it will be the same as 8 because they are adjacent..

8 0
3 years ago
A magic square is a square array of numbers arranged so that the numbers in all​ rows, all​ columns, and the two diagonals have
ioda

Answer:

strategies used are : identifying a sub-goal and Guess and check

Step-by-step explanation:

To create a 3 by 3 magic square using nine of the ten numbers

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In order to achieve a 3 by 3 magic square table we will pick Nine consecutive numbers out of the ten numbers given and apply the format below

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4 years ago
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adelina 88 [10]
This is a lesson in order of operations...

PEMDAS- parentheses, exponents, multiplication, division, addition, and subtraction... That is the order in which you have to proceed during any math problem..

Your question gives an excellent example of why.

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in this question, we would do multiplication then addition for the answer...

24 + 4 = 28

Now the other one

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in this expression, we would do what is inside the parentheses first, the addition.  Then we would multiply...

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28 vs 56
6 0
3 years ago
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Alexxandr [17]

Answer:

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Step-by-step explanation:

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5 0
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