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3 years ago

Find the slope of the line that passes through each pair of points (13,-3),(-5,-5)

Mathematics

1 answer:

PIT_PIT [208]3 years ago

3 0

Answer:

$\boxed{\bold{\frac{1}{9} }}$

Explanation:

(13,-3), (-5,-5)

Find The Slope:

$\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}$

$\bold{\left(x_1,\:y_1\right)=\left(13,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-5\right)}$

$\bold{m=\frac{-5-\left(-3\right)}{-5-13}}$

$\bold{ \ m \ = \ \frac{1}{9} }$

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The square root of 5 is between which two integers? Explain your reasoning.

vitfil [10]

Without using a calculator, you can reason that since 2²=4 and 3²=9, since 5 is between 4 and 9, its square root must be between 2 and 3.

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4 years ago

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Plz help me I’m so confused 23 points plz explain it to me in sooo stuck

anzhelika [568]

Answer:

6. D

7. B

Step-by-step explanation:

Nancy takes a test that has two sections: essay and true/false. She scores 56 points on the essay. Each true/false question is 4 points. So x number of true/false is worth 4 points each or 4x.

Together her score will be 56 + 4x.

She wants to score more than 80 or > 80.

So her test can be represented as the inequality 56 + 4x > 80.

This is solved using inverse operations.

56 + 4x > 80

4x > 24

x > 6

This should be graphed as an open circle at 6 on the umber line pointing and shaded to the the right for numbers greater than 6.

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3 years ago

A book falls from a shelf that is 5 feet above the floor. A model for the height h in feet if an object dropped from an initial

Brums [2.3K]

Answer:

About 0.559 seconds

Step-by-step explanation:

The height equation is:

$h=-16t^2+h_0$

Where $h_0$ is the initial height of the book, which is 5, so we can write:

$h=-16t^2+5$

Now, we want time it took for the book to reach ground (h = 0)

So, we substitute h = 0 and solve for t:

$h=-16t^2+5\\0=-16t^2+5\\16t^2=5\\t^2=0.3125\\t=0.5590\\t=0.559$

It took about 0.559 seconds for the book to reach the ground

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3 years ago

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Arte-miy333 [17]

Answer:

Is this a question about the laws of angle of incidence or is it just coordinates

Step-by-step explanation:

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2 years ago

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SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin

laila [671]

34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

Empirical rule to determine the percent:

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$$Z(X)=\frac{x-\mu}{\sigma}$

$$Z(433)=\frac{433-\ 433}{90}=0$

$$Z(523)=\frac{523-\ 433}{90}=1$

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. $((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%$

Here μ to μ + σ = $\frac{68\%}{2} =34\%$

Hence 34% of the scores lie between 433 and 523.

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3 years ago