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Natali [406]
3 years ago
11

Three vertices of a rectangle have coordinates (–3, 1), (7,1), and (7, –4). What are the coordinates of the fourth vertex of the

rectangle? A. (–3, –4) B. (–3, –1) C. (7, –3) D. (7, 4)
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0
You have to match up the sides. So you have two x values of 7, and one of -3, so that suggest that the x value you're looking for is -3. You have two y-values of 1, and one of -4, so i'd say look for a negative four. My answer would be A. (-3,-4)
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A triangle with side length of 4 inches, 7 inches and 10 inches is
nexus9112 [7]

Answer:

scalene

Step-by-step explanation:

also an acute triangle is something to do with angles so as long as no angles are provided, scalene is the best option

4 0
3 years ago
Rewrite the following equation in slope-intercept form. x + 5y = -11 Write your answer using integers, proper fractions, and imp
AveGali [126]

Answer:

\displaystyle y = -\frac{x}{5} - 2\frac{1}{5}

Step-by-step explanation:

\displaystyle x + 5y = -11 → 5y = -x - 11 → \frac{5y}{5} = \frac{-x - 11}{5} \\ \\ y = -\frac{1}{5}x - 2\frac{1}{5}

I am joyous to assist you at any time.

7 0
2 years ago
Dairon needs 20 pieces of string 3/8 inch in length. He cut a 4 7/8 inch piece of string into pieces that are 3/8 of an inch lon
kramer
The 4 7/8 = 39/8 = 13 pieces of string, he needs 20 so he will need to cut 7 more pieces
8 0
3 years ago
A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis
VMariaS [17]

Answer:

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=320128 represent the sample mean

\mu population mean (variable of interest)

\sigma=50324 represent the population standard deviation

n=529 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

8 0
3 years ago
If L = 3 inches, W = 2 inches, and H = 8 inches, what is the volume of the rectangular prism?
Gelneren [198K]

Answer:

48in^3

Step-by-step explanation:

volume of rectangular prism formula: L*W*H

lets plug in values for:

l=length(3)

w=width(2)

h=height(8)

so

3*2*8=48

48in^3

Hope this helps!

4 0
3 years ago
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