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1 year ago

{(-5,9),(2, 31), (9, 143), (11, 151),(0, 42),(5, 97)}

Mathematics

1 answer:

wlad13 [49]1 year ago

8 0

The number 7 is the best prediction of the output when the input is 13.

<h3>What is the equation of a line passing through two given points in 2 dimensional plane?</h3>

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

$(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)$

The equation of the line is found as;

$\rm y-y_1= \frac{y_2-y_1}{x_2-x_1} \\\\ \rm y-9= \frac{31-9}{2+5} (x+5)\\\\ 7y-63 = \frac{31-9}{2+5} (c+5)\\\\ 7y-63=22x+110\\\\ 7y= 22x+173 \\\\ but ,x=13\\\\ 7y=22 \times 13 +173\\\\ y= \frac{1259}{7} \\\\ y= 179$

Learn more about straight line equation here:

brainly.com/question/380976

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What is the equation of a line that passes through (4, 3) and has a slope of 2?

KiRa [710]

So right of the bat the equation we know from what's given is y = 2x (+b)
we gotta find out what b is
so we plug the coordinate in
3=8+b.
b=-5
so we put all the pieces back together to get
y = 2x - 5

3 0

2 years ago

A stone is dropped from the edge of a roof, and hits the ground with a velocity of -185 feet per second. How high (in feet) is t

34kurt

Answer:

The height of the roof is 534.8 feet.

Step-by-step explanation:

Let h be the height of the roof.

We know the formula

$v^2-u^2=2gh$

Since, the stone is dropped from the edge of the roof hence, the initial velocity should be zero. Thus, u = 0

$v^2-0=2gh\\h=\frac{v^2}{2g}$

Now, we have

v = -185 feet per second

g = 32 feet per square second

On substituting these values, we get

$h=\frac{(-185)^2}{2\times 32}\\\\h=534.8$

The height of the roof is 534.8 feet.

4 0

2 years ago

Read 2 more answers

What is the length of BC in the right triangle below 21 and 72

sleet_krkn [62]

Im guessing 21 and 72 are the side lengths for the triangle?

Alright, so since it's a right triangle you can use the Pythagorean theorem or a^2+b^2=c^2

Since i cant see the picture, im going to use some general math <span>so i</span> can figure out if those two sides are the legs or if one of them is the hypotenuse
Alright
so im guessing the side we're trying to find is the hypotenuse

21^2+72^2=c^2
441+5184=c^2
5625=c^2
<span>√5625=c</span>
75=c

The answer is 75, hope i helped!

3 0

2 years ago

Which of the following describes the sum in terms of p and q?(1 point)

snow_tiger [21]

The description of the summation expression given as p + (-q) is the sum, p + (-q), is the number located a distance, |p|, from , q, in the negative direction.

<h3>How to describe the sum in terms of p and q?</h3>

The summation expression is given as:

p + (-q)

In the above summation expression, we assume that:

p ⇒ Positive number

- q ⇒ Negative number

Having said that:

The expression -q would go in the negative direction if plotted on a number line

This means that the description of the summation expression given as p + (-q) is the sum, p + (-q), is the number located a distance, |p|, from , q, in the negative direction.

Hence, the description of the summation expression given as p + (-q) is the sum, p + (-q), is the number located a distance, |p|, from , q, in the negative direction.