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vodka [1.7K]
3 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]3 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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scoundrel [369]
7x - y= -5. Standard form is when it is written with x and y on the same side, but x is not negative or a fraction. To find the slope and y intercept, you must change the first two equations to slope intercept. You get y=7x-5 for the first one and y=11/3x+5 for the seccond equation. Take the 5 as your y intercept and the 7 as your slope and you get y=7x+5. Now you need to change it into standard form. When all is said and done, your final answer should be 7x - y = -5. 
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There is only one angle measure , ∡JHF , which is 34 degrees . I have to find the measure of angle ∡FJH .
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the assumption here being that both lines JH and FH are tangent lines to the circle, if that's the case the external angle of 34° is the angle made by the equal tangents, meaning the triangle is an isosceles with twin sides.

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2 years ago
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Maria is draining her hot tub at a rate of 5.5 gallons per minute. Is the amount of water left in the pool a function of the amo
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The amount of water in the pool after t minutes is modeled by the linear function V(t) = V(0) - 5t, hence it is a function of time.

A <em>linear function</em> for the amount of water in the pool, considering that it is <u>drained at a rate of a gallons per minute</u>, is modeled by:

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In this problem, draining her hot tub at a rate of <u>5.5 gallons per minute</u>, hence a = 5.5, and:

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To learn more about linear functions, you can take a look at brainly.com/question/13488309

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Noralie is making a necklace using a total of 48 beads. All of the beads will be either blue or yellow. She plans to use 1/3 as
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Since there are a total of 48 beads and each bead will either be blue or yellow, in order to find out how many of each colour bead she will use, do the following:

Divide 48 by 3 to get 16 yellow beads.

Now that you know how many yellow beads there are, just subtract that from 48:
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Therefore, she will use 16 yellow beads and 32 blue beads.

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