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Aleksandr [31]
3 years ago
6

Given (1, -3) and (5, 1). The slope of the line is The equation of the line is

Mathematics
1 answer:
guapka [62]3 years ago
4 0

To find the slope of the line we can use the following formula:

\frac{y.2 - y.1}{x.2 - x.1} = m

1 - (-3)/5 - 1

4 / 4

1

<h3>The slope of the line is equal to 1.</h3>

To find the equation, we can just use slope-intercept form.

We already know the slope, so our current equation is y = x

By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.

Subtract 1 from the x and y values of (1, -3)

(0, -4) is our new point, and so we know the y-intercept is -4.

<h3>Our equation for the line is y = x - 4</h3>
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What is the length of s?​
Serggg [28]

Answer:

10

Step-by-step explanation:

We will use trigonometry to solve this problem.

We see that the side provided is the hypotenuse and the side we are looking for is opposite to the angle provided. Thus, we will use sin since sin uses opposite/hypotenuse.

Now we solve.

sin45 = x/14

sin45 * 14 = x

x = 9.899494936611665

6 0
3 years ago
What is the 5th term in the pattern 1,-4,9,-16?
ICE Princess25 [194]
I think the answer is 25
4 0
3 years ago
A piece of copper wire of length 200 m has a diameter of 1.2 mm.
vova2212 [387]

The volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

Given that, the length of copper wire=200 m=200000 mm and the diameter of the copper wire=1.2 mm.

We need to find the volume of the copper wire.

<h3>What is the formula to find the volume of the cylinder?</h3>

The formula to find the volume of a cylinder is πr²h.

Now, the volume of the copper wire=πr²h=\frac{22}{7} \times (0.6)^{2} \times 200000=2,26,080 mm³=226.080 cm³

If the density of copper is 8.9 g/cm³, find the mass of the wire.

We know that Density=\frac{Mass}{Volume} }.

⇒8.9 g/cm³=\frac{Mass}{226.080}

⇒Mass=2,012.112 g/cm³

Therefore, the volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

To learn more about the volume of the cylinder visit:

brainly.com/question/16134180.

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6 0
2 years ago
Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $
djverab [1.8K]

Answer:

commercial =  9

movie = 5

Step-by-step explanation:

Step one:

let the number of commercials be x and movies be y

so

40x+130y=1010-------------1

since there are a total of 14 commercials and movies combined

x+y=14--------------2

Hence the systems of equation is

40x+130y=1010------1

x+y=14-------------------2

Step two:

from equation 2

x=14-y

substui]te the value of x in  equation 1

40(14-y)+130y=1010

560-40y+130y=1010

collect like terms

130y-40y=1010-560

90y=450

divide both sides by 90

y=450/90

y=5

movies is 90

put y=5 in equation 2

x+5=14

x=14-5

x= 9

commercial is 9 in numbers

and movie is 5

7 0
3 years ago
Please help 20 points!!!!
scoundrel [369]

Answer:3rd option, because angles adjacent to the same angle are congruent to eachother.

Step-by-step explanation:

3 0
3 years ago
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