M(9, 8) is the midpoint of RS. The coordinates of S are (10, 10). What are the coordinates of R?

andreev551 [17]

Answer:

$-10+i\sqrt{2}$

Step-by-step explanation:

One is given the following expression:

$\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}$

In order to simplify and solve this problem, one must keep the following points in mind: the square root function ( $\sqrt{}$ ) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: ( $\sqrt{-1}=i$ ). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

$\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}$

$\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}$

Take factors from out of under the radical:

$\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}$

$2-7i\sqrt{2}-12+8i\sqrt{2}$

Simplify,

$-10+i\sqrt{2}$

8 0

3 years ago

In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsibl

Anton [14]

Answer:

We do not reject the Null Hypothesis

Step-by-step explanation:

From the question we are told that:

Sample size $n=23$

Population mean $\mu=9.02cm^3$

Sample mean $\=x=8.16$

Standard deviation $\sigma=0.7cm^3$

Significance level $\alpha =0.01$

Generally the Null and and alternative Hypothesis are as follows

$H_0:\mu=9.02cm^3$

$H_a:\mu$

Therefore t critical Value is

$t\ critical\ Value=(\alpha,df)$

$t\ critical\ Value=(0.01,22)$

Where

$df=n-1\\\\df=23-1=>22$

Therefore

From t Table

$t value=-2.8$

Generally the equation for Z Critical is mathematically given by

$t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }$

$t=\frac{8.16-9.02}{\frac{0.7}{\sqrt{23} } }$

$t=-5.89$

Therefore

Since the t test statistics is greater than the Critical value

Hence,we do not reject the Null Hypothesis

4 0

3 years ago

A farmer has a rectangular field ro plow. The field has an area of 18,963 yards. The field is shown below. Fill in the missing l

cestrela7 [59]

Simply divide by 147

you get 129 yards

4 0

3 years ago

Read 2 more answers

How can you use a graph to write an equation

olga55 [171]

In order to use a graph to write an equation, you first need to have plot points. Pick 2 points on the line if there isn't already any on the graph. After you find two points, find the slope. (Formula: y = mx + b) After you solve the slope, try finding the y-intercept. (Meaning: when x = 0, solve for y) The y-coordinate when you solve it is the value of "b" in the equation. (REMEMBER: y = mx + b) If you have any questions about the formula or the directions, remember to ask! Cheers, mimiisawesome5

4 0

4 years ago

Repeated addition:<br> [ 1,3] + [1,3]+[1,3]= [a,b]<br> A=? B=?

sammy [17]

Answer:

I THINK a=3 b=9

Step-by-step explanation:

4 0

3 years ago