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Elena-2011 [213]
3 years ago
5

Write an equation in point-slope form

Mathematics
2 answers:
Slav-nsk [51]3 years ago
5 0

Answer:

43

Step-by-step explanation:


stepladder [879]3 years ago
4 0
I believe is C because the formula is

Y = mx + b

Since your m value is -6/5 and your x value is -3, and y value is -7

Then your answer would be

Y - 7 = -6/5 (x - 3)
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A tunnel is constructed with a semielliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of
slavikrds [6]

Answer:

Step-by-step explanation:

Example Equation of an ellipse with horizontal major axis with center at (0,0):

x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1

For given problem:

b=20

b^2=400

a=30

 

a^2=900

equation: x%5E2%2F900%2By%5E2%2F400=1

y%5E2%2F400=1-x%5E2%2F900

7 0
3 years ago
Read 2 more answers
Find the volume of a right circular cone that has a height of 3.9 ft and a base with a circumference of 16.3 ft. Round your answ
MissTica

Answer:

The answer to your question is Volume = 27.5 ft³

Step-by-step explanation:

Data

Volume = ?

height = 3.9 ft

Circumference = 16.3 ft

Process

1.- Calculate the radius of the Cone

   Circumference = 2πr = 16.3 ft

-Solve for r

                                    r = 16.3/2π

                                    r = 16.3/6.28

                                    r = 2.5955 ft

2.- Calculate the volume

Volume = 1/3πr²h

-Substitution

Volume = 1/3(3.14)(2.5955)²(3.9)

-Simplification

Volume = 1/3(82.4966)

-Result

Volume = 27.5 ft³

8 0
3 years ago
Read 2 more answers
You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid
ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 250, \sigma = 75

If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?

What is the percentile of 350?

This is the pvalue of Z when X = 350.

Z = \frac{X - \mu}{\sigma}

Z = \frac{250 - 150}{75}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082.

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

If not, what number of shelter openings will be needed?

The 95th percentile, which is X when Z = 1.645. So

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 150}{75}

X - 150 = 1.645*75

X = 274

274 shelters will be needed.

5 0
3 years ago
Janelle was trying to find the distance between (3,7) and (9,6) in the coordinate plane. She knew the formula was D=√(9 - 3)^2 +
s2008m [1.1K]
Hello : 
incorrect  answer because : 
\sqrt{ a^{2} + b^{2} }  \neq   \sqrt{ a^{2} } + \sqrt{ b^{2}}  \neq a+b
but : 
\sqrt{ (a+b)^{2} } = a+b........a+b <span>≥ 0</span>
5 0
3 years ago
Please help me for 30 points
myrzilka [38]

Answer: 1D, 2E, 3B, 4A, 5C

Step-by-step explanation:

First, eliminate choices that cannot go together.

The "greater than" and "less than" symbols, represented by > and <, are used to show that a number is greater than another set of numbers, but not equal to the set of numbers.

The "greater than or equal to" and "less than or equal to" symbols, represented by ≥ and ≤, are used to show that a number can also be equal to a set of numbers.

On the number line, open dots are used to represent > and <.

Closed dots are used to represent  ≥ and ≤.

Using this, C, D, and E must match with 1, 2, and 5.

Dealing with 3 now:

4m ≥ 32

Divide both sides by 4 to simplify m:

m ≥ 8 - This is used to show that m is greater than or equal to 8.

This lines up with choice B: the line starts at 8 and goes onwards to positive infinity.

This means that 4 matches to A, because it is the only other option with a closed dot.

Looking at 1 (x - 5 < 2), we can simplify it very easily by adding 5 to both sides of the inequality:

x < 7 - This is used to show that x is less than 7.

This lines up with choice D: The line starts at less than 7 and goes downwards to negative infinity.

Looking at 2 (m + 24 > 20), we can do this the same way. Subtract 24 from both sides to get:

m > -4 - This is used to show that m is greater than negative 4.

This lines up with choice E: The line starts at greater than 4 and goes to positive infinity.

The last choice, choice 5, must match with choice C.

6 0
3 years ago
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