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vodka [1.7K]
4 years ago
8

Find the number that should be added to the expression to make a perfect square k^2+11k

Mathematics
1 answer:
Alja [10]4 years ago
5 0
<span>k^2+11k has 11 as the coefficient of the first power of the variable (k).

To complete the square:

Take HALF of this coefficient.  In other words, take HALF of 11, obtaining 11/2.

Square this (11/2):  (121/4)

Add this 121/4   to  </span><span>k^2+11k 

Result:     </span><span>k^2+11k + 121/4

This is a perfect square:    </span>k^2+11k + 121/4  = (k + 11/2)^2

Answer:  The number to be added to k^2 + 11k to make it a perfect square is  (121/4).
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What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x/4+5 ?
worty [1.4K]

Answer:

y = -4x+15

Step-by-step explanation:

y=x/4+5 may be presented as y = 1/4 x + 5, where a=1/4, b=5

swapping numerator and denominator and inserting an opposite sign in a=1/4, we have:

1/4 --------> 4/1 -------> -4/1 = -4

y = -4x+n

Point (2,7) means that x=2, y=7 substitute it to the equation y=-4x+n, calculate "n":

7=-4*2+n ------>    7=-8+n ------->   7+8 = n -------> 15=n

substituting n=15 to the equation y=-4x+n, we get finally y=-4x+15


8 0
4 years ago
A 4-oz. filet of salmon contains 500 mg of potassium. The daily recommended amount of potassium is 3,500 mg. If you ate a 6-oz.
Lyrx [107]
The answer is 21% because a 6-oz fillet of salmon contains about 750 mg of potassium. 3500-750 equals 2750, meaning that whichever percent closest to that answer is correct. 3500 - 21% = 2760 which is the closest number to the correct percentage therefore A. Is the answer.
5 0
2 years ago
Can someone please explain to me how to get the answer for the question is the picture? I don't get it at all, and the internet
AlekseyPX

Answer:

The original price of the item is $28.

Step-by-step explanation:

So to find the original price, we have to divide the sale price by the result of one minus the discount in percentage form.

So:

First convert 25% to a decimal, 0.25.

OP(original price) = 21 ÷ 1 - 0.25 =

1 - 0.25 = 0.75

21 ÷ 0.75 = 28.

5 0
3 years ago
If B has the points, (-2,0) and (3,4), use the point slope formula to calculate the equation of the line.
pogonyaev
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3 years ago
41 kilometers to meter
g100num [7]

Answer:

41000 meters

Step-by-step explanation:

multiply the length value by 1000

4 0
4 years ago
Read 2 more answers
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