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3 years ago

How can you use slope to determine whether the parallelogram is a rectangle?

Mathematics

1 answer:

Kazeer [188]3 years ago

4 0

Step-by-step explanation:

To do this we need to calculate the slope of each side. If we can show that the slopes of the opposite sides are the same, then the opposite sides are parallel. The slopes of the opposites were the same, so ABCD is a parallelogram.

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A pet store employee counts 23 heads and 68 feet on the animals in the store. The store currently only has kittens and parakeets

Aloiza [94]

Answer:

11 kittens and 12 parakeets

Step-by-step explanation:

each kitten has 4 feet while each parakeet has 2

11 x 4 = 44 (kittens)

12 x 2 = 24 (parakeets)

11 + 12 is 23 which is your 23 heads.

44 + 24 is 68 which would be your feet

4 0

2 years ago

I need some help please!

adell [148]

Answer:

8 seconds

Step-by-step explanation:

lets first start by plugging in 1024 into initial height

h(t) = -16t^2 + 1024

I would find a Greatest Common Factor (GCF) first

-16(t^2 - 64) If this is new just think that if you multiply -16 by t squared and -64 you will come back to the original equation

But now we notice that T squared -64 can be factored with the difference of perfect squared method

so we will get -16(t-8)(t+8)

So to get the answers we will set everything equal to 0

-16t =0

t =0 this is the time that the penny was thrown

t-8 = 0

t = 8 the is the time the penny hit the ground

t+8 =0

t= -8 This is an extraneous solution or a solution that doesn't make sense so we just disregard the solution.

3 0

3 years ago

Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 s

boyakko [2]

Answer:

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

Step-by-step explanation:

Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 square feet. Test to see if the average size of new homes exceeds 2,400 square feet.

At the null hypothesis, we test if the average is of 2400 square feet, that is:

$H_o: \mu = 2400$

At the alternate hypothesis, we test if the average is greater than 2400 square feet, that is:

$H_a: \mu > 2400$

The test statistic is:

Since we have the standard deviation for the sample, we use the t-distribution.

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

2400 is tested at the null hypothesis:

This means that $\mu = 2400$

A random sample of 36 newly constructed homes had an average of 2,510 square feet with a sample standard deviation of 480 square feet.

This means that $n = 36, X = 2510, s = 480$

Test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{2510 - 2400}{\frac{480}{\sqrt{36}}}$

$t = 1.375$

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a sample mean of at least 2510, which is the pvalue of t = 1.375 with 36 - 1 = 35 degrees of freedom, using a one-tailed test.

With the help of a calculator, this pvalue is of 0.09

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

6 0

2 years ago

i need to find the equation of the line that has the same y intercept as the line y-8x+3=0 and is parallel to the line 4x-9y=1

loris [4]

Answer:

Step-by-step explanation:

How do you find the equation of a line parallel to another line?

Method 1: Using Slope Intercept Form

Substitute the slope from original line (3 in this case) into the equation of the line y = 3x + b.

Substitute the given point (1,7) into the x and y values 7 = 3(1) + b.

Solve for b (the y-intercept)

Substitute this value for 'b' in the slope intercept form equation y = 3x + 4.

How do you find the Y intercept of a parallel line?

Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5.

5 0

3 years ago

Jeremy has $3.50 to purchase erasers. If erasers cost $0.21 each, about how many can he buy?

Genrish500 [490]

Answer:

16 brainlist pls

Step-by-step explanation:

7 0

3 years ago