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Margaret [11]
3 years ago
12

Write an equation in slope intercept form for the line through the two points

Mathematics
1 answer:
Musya8 [376]3 years ago
5 0
m= \frac{y2-y1}{x2-x1}  \\  \\ m= \frac{-2-2}{2-(-2)}  \\  \\ m= \frac{-4}{4}  \\  \\ m=-1


y=mx+b \\  \\ y=-1x+b


(2)=(-1)(-2)+b \\  \\ 2=2+b \\  \\ 0=b


y=-1x+0 \\  \\ y=-x
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Find the slope of the tangent to y= -7Sin(x)+2cos(x) at x= 3π/4
BaLLatris [955]
Y = -7sin(x) + 2cos(x)
y = -7sin(3π/4) + 2cos(3π/4)
y = -7sin(9.42/4) + 2cos(9.42/4)
y = -7sin(2.355) + 2cos(2.355)
y = -7(0.03698381721) + 2(0.9993158646)
y = -0.2588867205 + 1.998631729
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6 0
3 years ago
Find the circumference of a circle whose area is 24
zalisa [80]

The answer is: " 17.35 " .

__________________________________

→ The circumference of the circle is: " 17.35 units " .

__________________________________


The area, "A", of a circle:

A = \pi * r² ;

Note: \pi  = 3.14 .

The area of the circumference, "C", of a circle:

C = 2 \pi r .

__________________________________________

Given:

A = 24 ;

Use the formula for the area, "A" of a circle, to find the radius, "r" .

Then, plug the value obtained for "r" into the formula for the circumference, "C" , of a circle:

C = 2\pi r l

To solve for the circumference, "C", of the circle.

________________

A = \pi  *  r^{2} ;

24 = 3.14 * r² ;

↔ 3.14 * r² = 24 ;

Divide each side of the equation by "(3.14)" ;

[3.14 * r²] / 3.14 = (24) / (3.14) ;

to get:

→ r² = 7.64331210191 ;

Take the positive square root of each side of the equation;

to isolate "r" on one side of the equation; & to solve for the radius, "r" ;

→ ⁺√(r²) = ⁺√(7.64331210191) ;

to get:

→ r = 2.76281034802 ;

____________________________

Now, plug this "obtained value" for the radius, "r" into the equation for the formula for the circumference, "C" of a circle:

→ C = 2 \pi * r ;

to solve for the circumference, "C", of the circle:

→ C = 2 * (3.14) * (2.76281034802) ;

= (6.28) * (2.76281034802) ;

= 17.3504489856 ;

→ round to: " 17.35 units" .

__________________________________

The answer is: " 17.35 " .

__________________________________

→ The circumference of the circle is: " 17.35 units " .

__________________________________

6 0
3 years ago
- 4e - 9=19<br> What’s the answer
agasfer [191]

Answer:

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Step-by-step explanation:

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NO LINKS
Zigmanuir [339]

Answer:

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Step-by-step explanation:

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6 0
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A car traveled 140 miles in 2 hours. At this rate, how many miles will the car traavel in 5 1/2
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A car traveled 140 miles in 2 hours. at this rate, how many miles will the car travel in 5 1/2 hours?

You just multiply
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3 years ago
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