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3 years ago

What is the distance between point (7,9) and point (-2,7)

Mathematics

1 answer:

telo118 [61]3 years ago

5 0

Answer:

√85 or 9.22

Step-by-step explanation:

For this, you'd want to use the distance formula, which is just something you'd eventually memorize.

Distance = $\sqrt{(x_{2}- x_{1})^{2} + (y_{2}- y_{1})^{2}}$

Then, you'd plug in the values. Something to keep in mind is the coordinate that is farther right will be ( $x_{2} ,y_{2}$ ), since $(x_{2}- x_{1})$ is supposed to represent the change in x (and same with the y).

d = √( (7 - (-2))² + (9 - 7)²)

= √( (9²) + 2²)

= √(81 + 4)

= √85

= 9.22

I hope this helps!

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Gennadij [26K]

Answer:

I think what you meant to say is "If a triangle has 2 sides that are 4 cm and 20 cm, what are the possible lengths of the third side?"

Basically, when given 2 sides of a triangle, the third side must be GREATER than the DIFFERENCE of the other 2 sides and LESS than the SUM of the other 2 sides.

difference = 16 cm

sum = 24 cm

So, the third side must be greater than 16 cm and less than 24 cm

Step-by-step explanation:

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3 years ago

Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard

Alja [10]

Answer: 0.4302

Step-by-step explanation:

Given : Mean : $\mu=\text{38.7 miles }$

Standard deviation : $\sigma=\text{6.7 miles }$

Sample size : $n=60$

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x=32.5

$\\\\ z=\dfrac{32.5-38.7}{6.7}=-0.925373134\approx-0.93$

For x=40.5

$\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27$

The p-value = $P(-0.93$

$=P(0.27)-P(-0.93)=0.6064198- 0.1761855=0.4302343\approx0.4302$

Hence, the required probability :-0.4302

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hi how is your day hopes its good and stay safe remember to stay at home and if your going out stay 6 feet apart love you

oksian1 [2.3K]

Thank you love same with you! God bless

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3 years ago

Read 2 more answers

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klasskru [66]

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3 years ago

Which two answers are correct ?

notsponge [240]

Answer:

Choice A) x and f(x) approach negative infinity

Choice D) x and f(x) approach positive infinity

Step-by-step explanation:

A cubic curve starts low and ends high if the leading coefficient is positive, which in this case it is. This means that the left side of the graph falls while the right side rises. Your teacher might say something like "fall to the left, rise to the right" to describe what the end behavior is doing.

More formally "fall to the left" means that as x approaches negative infinity, y = f(x) is approaching negative infinity as well. Similarly, "rise to the right" indicates that as x approaches infinity, y = f(x) heads off to infinity as well. Both x and y = f(x) move in the same direction along their respective number lines; eg, if one goes in the negative direction, then so does the other.

The graph below confirms the answer visually.

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