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3 years ago

A LINE PASSES THROUGH THE POINTS. what is the EQUATION OF THE LINE? (2,-4) and (6,10)?

Mathematics

1 answer:

Natalija [7]3 years ago

8 0

Hey there! :)

Answer:

y = 7/2x - 11

Step-by-step explanation:

Use the slope formula to calculate the slope:

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

Plug in the coordinates:

$m = \frac{10-(-4)}{6-2}$

Simplify:

$m= \frac{14}{4}$

$m = \frac{7}{2}$

Slope-intercept form is y = mx + b. Plug in the slope, as well as the coordinates of a point given to solve for b:

10 = 7/2(6) + b

10 = 42/2 + b

10 = 21 + b

10 - 21 = b

b = -11.

Write the equation:

y = 7/2x - 11

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Using proportions, it is found that the number of islands that each member will have to visit is given by:

c. 19 islands.

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A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there are 684 islands, and 36 members, hence the number of islands per member is given by:

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2 years ago

Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30

GarryVolchara [31]

the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.

Given, the members of the junior varsity swim team wear glasses is 55%.

And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.

Let the total no. of members be x.

So, the members of the junior varsity swim team wear glasses (55%),will be

$0.55x$ .

The total number of members not wearing glasses, will be

$x - 0.55 x = 0.45 x$ .

Now, the no. of members not wearing glasses and in 10th grade will be,

$\frac{0.45x\times30}{100} =0.135x$

We know that the probability of an event E, P(E) will be,

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So, the probability for no. of members not wearing glasses and in 10th grade will be,

$P(E)=\dfrac{0.135x}{x}$

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Hence the nearest whole percent of probability is 14%.

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2 years ago

The length of a rectangle is six times it's width. If the area is 216 inches squared, find its perimeter

Lana71 [14]

I had a problem like this but it was different but what i divided was 216 divided by 12 and got 18 and 216 divided by 6 and got 36

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3 years ago

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The perimeter of the square park is 240m, then the side of the square park is _______.

bagirrra123 [75]

Answer:

side of square = 60 m

Step-by-step explanation:

perimeter of square = 4 × side

so,

=》240 = 4 × side

=》240 / 4 = side

=》 60 m = each side of the square .

i hope it helped..

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3 years ago

Solve the following inequality for s. Write your answer in simplest form.

Doss [256]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

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2 years ago

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