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Katarina [22]
4 years ago
8

What number must be added to the expression below to complete the square? X^2+5x

Mathematics
2 answers:
zavuch27 [327]4 years ago
8 0

Answer:

6.25

Step-by-step explanation:

Find b, b= 5

Need (b/2)^2 = (5/2)^2 = 6.25

x^2+5x +6.35 =6.25

Then you can factor...

                                                                                                              With love,

                                                                                                                 Hope :)

Leno4ka [110]4 years ago
7 0

Answer:

25/4

Step-by-step explanation:

x^2 +5x

To complete the square we take (b/2)^2

b =5

(5/2)^2

25/4

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Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
4 years ago
What is five times that quantity​
yawa3891 [41]

Answer:

basically multiplication, (that quantity) times 5

Step-by-step explanation:

6 0
3 years ago
Which of the following pairs of functions are inverses of each other ​
Ghella [55]

Option (A) represents the function and its inverse of a function option (A) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function and inverse of a function shown in the picture.

Checking for option (A):

\rm f(x) = \dfrac{x}{4}+10 \ \ \ and \  \ \ g(x)  = 4x -10

Taking f(x):

\rm f(x) = \dfrac{x}{4}+10

To find the inverse of a function interchange the x and y variables:

f(x) → x

x  → g(x)

\rm x = \dfrac{g(x)}{4}+10

Solving:

4x = g(x) + 10

g(x) = 4x - 10

Similarly, we can find the inverse of a function.

Thus, option (A) represents the function and its inverse of a function option (A) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

8 0
2 years ago
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A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
beks73 [17]

Slope = (2 + 1) / (-5 - 10) = -3/15 = - 1/5

Equation

y - 2 = -1/5 (x + 5)

y - 2 = -1/5 x - 1

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Answer

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6 0
4 years ago
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Use the terms below to create a linear equation with a solution of x = 10<br> Terms: x 2 4 5
yulyashka [42]

Answer:

x = \frac{4 * 5}{2}

Step-by-step explanation:

x = 10

x = 20 / 2

x = 4*5 / 2

5 0
4 years ago
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