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2 years ago

What number should be added to both sides of the equation to complete the square?

Mathematics

2 answers:

omeli [17]2 years ago

4 0

-6. its to make the equation equal

SCORPION-xisa [38]2 years ago

3 0

Answer:

The number that is added both side to make the equation a perfect square is

$\frac{9}{4}$

Step-by-step explanation:

The given equation is : $x^{2} +3x=6$

The equation is of the form $ax^{2} +bx+c=0$

To solve the equation by completing a square we take half of b term and square it .

This is added to both sides.

Comparing the equations we have b=3 .

We take half of 3 and square it that is :

$(\frac{3}{2}) ^{2} =\frac{9}{4}$

So $\frac{9}{4}$ isadded to both side to complete the square .

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Find the missing side length.

andrew11 [14]

So first of all you know that one side is 14cm and the other side is 6cm

What you would do is: 14-6=???

Your answer should be: 8cm

5 0

2 years ago

McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine

jonny [76]

Answer:

$t _{critical} = 1.760$

t = 2.2450

d. 0.264

Step-by-step explanation:

The null hypothesis is:

$H_o: \mu_1 - \mu_2 = 0$

Alternative hypothesis;

$H_a : \mu_1 - \mu_2 > 0\\$

The pooled variance t-Test would have been determined if the population variance are the same.

$S_p^2 = \dfrac{(n_1-1)S_1^2+(n_2-1)S^2_2}{(n_1-1)+(n_2-1)}$

$S_p^2 = \dfrac{(8-1)2.507^2+(8-1)2.8282^2}{(8-1)+(8-1)}$

$S_p^2 = 7.14$

The t-test statistics can be computed as:

$t= \dfrac{(x_1-x_2)-(\mu_1 - \mu_2)}{\sqrt{Sp^2 ( \dfrac{1}{n} +\dfrac{1}{n_2})}}$

$t= \dfrac{(9-6)-0}{\sqrt{7.14 ( \dfrac{1}{8} +\dfrac{1}{8})}}$

$t= \dfrac{3}{1.336}$

t = 2.2450

Degree of freedom $df = (n_1 -1) + ( n_2 +1 )$

df = (8-1)+(8-1)

df = 7 + 7

df = 14

At df = 14 and ∝ = 0.05;

$t _{critical} = 1.760$

Decision Rule: To reject the null hypothesis if the t-test is greater than the critical value.

Conclusion: We reject $H_o$ and there is sufficient evidence to conclude that the test scores for contact address s less than Noncontact athletes.

To calculate r²

The percentage of the variance is;

$r^2 = \dfrac{t^2}{t^2 + df}$

$r^2 = \dfrac{2.2450^2}{2.2450^2 + 14}$

$r^2 = \dfrac{5.040025}{5.040025+ 14}$

$r^2 = 0.2647$

7 0

2 years ago

The area of triangle ABC is 1.89 square feet. The measure of side c is ______.

Feliz [49]

we are given

Area is 1.89

$A=40$

$b=2.8$

now, we can use area formula

$A=\frac{1}{2} c*b*sin(A)$

$1.89=\frac{1}{2} *c*2.8*sin(40)$

now, we can solve for c

we will get

$c=2.10023$ .............Answer

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3 years ago

The table below shows the number of each item sold at the concession stand. What might the ratio of 5:4 represent?

4vir4ik [10]

The price of of the hotdog to the price of popcorn is in the ratio 5:4

25:20 is 5:4

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2 years ago

Which expression is equivalent to 1/2 (2+ 3x – 6)?

KiRa [710]

I think it's B......

5 0

2 years ago

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