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3 years ago

Question 3 of 10 Complete the square to solve the equation below. x2-10X-2 = 17

Mathematics

1 answer:

stellarik [79]3 years ago

4 0

Answer:

Step-by-step explanation:

$x^2-10x-2=17$

Add 2 to both sides:

$x^2-10x-2+2=17+2$

$x^2-10x=19$

Add half of the coefficient of the x, squared to both sides:

$x^2-10x+\left(-5\right)^2=19+\left(-5\right)^2$

Simplify:

$x^2-10x+\left(-5\right)^2=44$

Complete the square:

$\left(x-5\right)^2=44$

$x-5=\sqrt[]{44}$ or $x-5=-\sqrt[]{44}$

$x=\sqrt{44} +5$ or $x=-\sqrt{44} +5$

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Please help me I will mark brainliest! The ratio of the number of boys to the number of girls in a school is 3:4. One-third of t

Alex17521 [72]

Answer:

a) 952

b) 136

Step-by-step explanation:

Ratio of b:g = 3:4, based on this we have:

Number of boys = 3x
Number of girls = 4x
Total number of pupils = 3x+4x = 7x

Number of spectacle wearers:

1/3*3x + 3/8*4x = x + 3/2x = 2.5x

Number of those not wearing spectacles:

7x - 2.5x= 4.5x

And this number equals to 612, then we can find the value of x:

4.5 x = 612
x= 612/4.5
x= 136

a) Total number of pupils:

7x = 7*136 = 952

b) The difference in the number of boys and girls:

4x-3x= x = 136

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3 years ago

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A history class of 50 students has agreed to be the subject of a research study. Half of the class has been asked to study for t

taurus [48]

Answer:

The options are absent, but the dependent variable in this experimental setup is the test scores from both groups of the experiment.

Step-by-step explanation:

The dependent variable, just like the name suggests, is the variable whose value or outcome depends on the some other variable(s) in an experimental setup.

For this research study, the aim is to evaluate the effect of a silent studying environment or listening to classical music while studying on the academic performance of students as reflected in their test scores.

So, for each of the two groups in this experimental setup, the test scores of the students should depend directly on the the effects of either of the two conditions mentioned earlier. Hence, it is evident that the test scores of students is the undisputed dependent variable for this experimental setup.

Hope this Helps!!!

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3 years ago

Anybody wanna help?please

Alika [10]

Answer: x = 42

Step-by-step explanation:

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3 years ago

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If θ is a first quadrant angle in standard position with P(u,v) = (3,4) evaluate cos 2 θ

zaharov [31]

We have to evaluate cos(2θ), knowing that θ is in the first quadrant and in standard position P(u,v) = (3,4).

We can picture this as:

We can write the relation:

$\tan \theta=\frac{4}{3}$

We now look at the identities to find cos(2θ):

$\cos (2\theta)=\frac{1-\tan^2(2\theta)}{1+\tan^2(2\theta)}$

There are many identities for cos(2θ), but this is expressed in the information we already know, so we can solve as:

$\begin{gathered} \cos (2\theta)=\frac{1-\tan^2(2\theta)}{1+\tan^2(2\theta)} \\ \cos (2\theta)=\frac{1-(\frac{4}{3})^2}{1+(\frac{4}{3})^2} \\ \cos (2\theta)=\frac{1-\frac{16}{9}}{1+\frac{16}{9}} \\ \cos (2\theta)=\frac{\frac{9-16}{9}}{\frac{9+16}{9}} \\ \cos (2\theta)=\frac{-7}{25} \end{gathered}$

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1 year ago

Ryan started watching a movie at 20 25. The movie lasted 2hours and 25 minutes what time did the movie end

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Answer:

22 50 (Or 10:50 pm for most people)

Step-by-step explanation:

okay so whats 25 + 25?

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3 years ago