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jeyben [28]
3 years ago
7

Find the equation of the line that runs through points (1,3) and (2, -1)

Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0

Answer:

y=-4x+7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-3)/(2-1)

m=-4/1

m=-4

y-y1=m(x-x1)

y-3=-4(x-1)

y=-4x+4+3

y=-4x+7

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Evaluate for b:<br><br> 50 = -1/3b + 20
Wewaii [24]

Answer:

=3000/53

Step-by-step explanation:

4 0
3 years ago
Two sides of a triangle have lengths 9 m and 13 m. The angle between them is increasing at a rate of 0.02radians /min. How fast
Olin [163]

Answer:0.175 m/s

Step-by-step explanation:

Given

Two sides of length 9 and 13 m

angle between them is increasing at an angle of 0.02 rad/min

rate of increasing of third at \theta =\frac{\pi }{3}

let a=9

b=13

c=unknown side

Now using cos rule of triangle

cos\theta =\frac{a^2+b^2-c^2}{2ab}

cos\theta =\frac{a^2+b^2}{2ab}-\frac{c^2}{2ab}

Differentiating both sides we get

-\sin \theta \times \frac{\mathrm{d} \theta }{\mathrm{d} t}=0-2\frac{c}{2ab}\times \frac{\mathrm{d} c}{\mathrm{d} t}

at \theta =\frac{\pi }{3}

c=11.53 m

substituting values we get

\frac{\sqrt{3}}{2}\times 0.02=\frac{11.53}{9\times 13}\times \frac{\mathrm{d} c}{\mathrm{d} t}

\frac{\mathrm{d} c}{\mathrm{d} t}=0.175 m/s

8 0
3 years ago
Please I need this ASAP
dimaraw [331]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
If 3x + 2y = 1 and<br> 2x + 7y = 3<br><br> How do you find x and y step by step?
trapecia [35]

Step-by-step explanation:

there are 2 main approaches (in their core they are the same, of course, but they look different) :

1. use one equation to express one variable by the second, and then use this in the second equation to solve for the remaining variable. with that you go back into the first equation and solve for the first variable.

2. multiply both equations by certain factors as needed, then add both results, so that there is one summary equation with only one variable, and then solve for it. then use that in one of the original equations and solve for the second variable.

using 1.

3x + 2y = 1

3x = 1 - 2y

x = (1 - 2y)/3

2x + 7y = 3

2(1 - 2y)/3 + 7y = 3

2(1 - 2y) + 21y = 9

2 - 4y + 21y = 9

17y = 7

y = 7/17

x = (1 - 2y)/3 = (1 - 2×7/17)/3 = (1 - 14/17)/3 =

= (17/17 - 14/17)/3 = 3/17 / 3 = 1/17

using 2.

multiply first equation by 2, the second by -3

6x + 4y = 2

-6x - 21y = -9

----------------------

0 -17y = -7

-17y = -7

17y = 7

y = 7/17

and so on (as under 1.).

6 0
2 years ago
Read 2 more answers
0.000149 correct to one decimal place
Lynna [10]

0.000149

Corrected to one decimal place is 0

3 0
4 years ago
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