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Tresset [83]
3 years ago
11

Find the midpoint of the segment with the given endpoints (0,9) and (6,-)

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0
15.9 is the answer to that question
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Solve the following equation by factoring:9x^2-3x-2=0
olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}

Step-by-step explanation:

Original quadratic equation is 9x^{2}-3x-2=0

Divide both sides by 9:

x^{2} - \frac{x}{3} - \frac{2}{9}=0

Add \frac{2}{9} to both sides to get rid of the constant on the LHS

x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}  ==> x^{2} - \frac{x}{3}=\frac{2}{9}

Add \frac{1}{36}  to both sides

x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}

This simplifies to

x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = \frac{1}{6}\right) we can see that

\left(x - \frac{1}{6}\right)^2 = x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}

So

\left(x - \frac{1}{6}\right)^2=\frac{1}{4}

Taking square roots on both sides

\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}

So the two roots or solutions of the equation are

x - \frac{1}{6}=-\sqrt{\frac{1}{4}}  and x - \frac{1}{6}=\sqrt{\frac{1}{4}}

\sqrt{\frac{1}{4}} = \frac{1}{2}

So the two roots are

x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}

and

x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}

7 0
1 year ago
The quantity is called the pooled variance estimate of the common variance of two unknown but equal population variances. It is
lozanna [386]

Answer:

sample variances

Step-by-step explanation:

The pooled variance method is used to estimate the variance of several different population with different means, but are assume to have the same variance.

The weights represent the sample variances.

So the correct answer is

sample variances

5 0
3 years ago
Solve 16^z+2 *64^z-2
xz_007 [3.2K]

Answer:

Simplify -> 16^z + 2^1+6z - 2

Step-by-step explanation:

5 0
3 years ago
How much would your total be if you bought 5 lbs of apples<br> and 4 lbs of oranges?
Nana76 [90]

Answer:

So apples would cost $2.95 and oranges would cost $1.92 then you would add those two together to get $4.87.

Step-by-step explanation:

Apples you  would do 0.52×5 and get $2.95 and for oranges you  would do 0.48×4 to get $1.92, then you just add the two numbers together.  

5 0
3 years ago
How do I simplify complex fractions?
timama [110]

Answer:

Find the Least Common Denominator (LCD) of all the denominators in the complex fractions.

Multiply this LCD to the numerator and denominator of the complex fraction.

Simplify, if necessary.

8 0
3 years ago
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