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Afina-wow [57]
4 years ago
14

What number should be added to the expression x^2 + 14x to change it into a perfect square trinomial? Can you help me with this?

Mathematics
1 answer:
Troyanec [42]4 years ago
6 0
X^2+14x

To make it as perfect square binomial first divide the numerical coefficient of 14 by 2 which is 7. Then square the result[7] which is 49 and add it to the equation
x^2+14x+49
After that think of a number that has a square root of 49 then when u multiply the second term in the perfect square by the first and 2 it results to 14. So the answer is
[x+7]^2
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Aiden walked 2/3 of a mile in 1/5 of an hour. What is his rate in miles per hour?
Tanzania [10]
To get a full hour we need to multiply the quantity (1/5) by 5 because this = 1. Now you would have to also multiply the (2/3) by 5.
10/3 miles or 3 and 1/3 miles
5 0
3 years ago
Idk how to do this without an image honestly
Art [367]

9514 1404 393

Answer:

  (x, y) ⇒ (x -m, y -n)

Step-by-step explanation:

Reverse the arrow and solve for the x and y on the left:

  (x +m, y +n) ⇒ (x, y)

This resolves to two relations:

  x + m ⇒ x

  x ⇒ x - m . . . . . subtract m

and

  y + n ⇒ y

  y ⇒ y - n . . . . . . subtract n

Putting these back together, we have ...

  (x, y) ⇒ (x -m, y -n) . . . . . maps P'Q' to PQ

_____

The original translation was right m and up n. The reverse translation is left m and down n. That is what the rule shows.

6 0
3 years ago
How do you solve 26/57= 849/5x
sergeinik [125]
If you would like to solve 26/57 = 849/5x, you can do this using the following steps:

<span>26/57 = 849/5x          /*(5x)
</span>26/57 * (5x) = 849     /*57
26 * 5x = 849 * 57    /26
5x = 48393/26        /5
x = <span>48393/(26*5)
x = 372.25

The correct result would be </span><span>372.25.</span><span>
</span>
8 0
3 years ago
What is the total area of the regions between the curves y = 6x2 − 18x and y = −6x from x = 1 to x=3?.
kvasek [131]

Using integration, it is found that the area between the two curves is of 22 square units.

<h3>What is the area between two curves?</h3>

The area between two curves y = f(x) and y = g(x), in the interval from x = a to x = b, is given by:

A = \int_{x = a}^{x = b} |f(x) - g(x)| dx

In this problem, we have that:

f(x) = 6x^2 - 18x, g(x) = -6x, a = 1, b = 3.

Hence, the area is:

A = \int_{1}^3 |6x^2 - 12x| dx

A = |x^3 - 6x^2|_{x = 1}^{x = 3}

Applying the Fundamental Theorem of Calculus:

A = |3^3 - 54 - 1^3 + 6|

A = 22

The area between the two curves is of 22 square units.

More can be learned about the use of integration to find the area between the two curves at brainly.com/question/20733870

8 0
3 years ago
HALP im a d.umb person :D
erastova [34]

Answer:

2x-3, so A.

Step-by-step explanation:

you cancel the common factor

8 0
3 years ago
Read 2 more answers
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