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3 years ago

Find the equation of the line that is perpendicluar to y=-2/3x and contains the point (4,-8)

Mathematics

1 answer:

suter [353]3 years ago

5 0

Answer:

Step-by-step explanation:

The slope of two perpendiculars is

m1*m2 = - 1

m1 = - 2/3

-2/3 * m2 = -1 Multiply both sides by -3/2

-3/2 * -2/3 * m2 = -1*-3/2

m2 = 3/2

So far what you have is

y = 3/2 x + b

x = 4

y = - 8

-8 = 3/2*4 + b

-8 = 6 + b Subtract 6 from both sides

b = - 14

Complete line

y = 3/2 x - 14

The red line is y = -2/3x

The blue line is y = 3/2x - 14

The point (4,-8) is marked for you

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Find the missing side or angle.

bonufazy [111]

Answer:

c = 6.1

Step-by-step explanation:

Given that: B = 18° , C = 152°, and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{4}{Sin 18^{o} }$ = $\frac{c}{Sin 152^{o} }$

c = $\frac{4* Sin 152^{o} }{Sin 18^{o} }$

= $\frac{1.8779}{0.3090}$

= 6.0773

c = 6.1

Therefore, the value of the missing side, c, is 6.1

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3 years ago

The high school courtesy club bought red and black ink pens for Teacher Appreciation Day. The club bought 75 pens in all. Each b

dezoksy [38]

Answer:

Step-by-step explanation:

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3 years ago

The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 269 day

fenix001 [56]

Answer:

a) 279 b)254

Step-by-step explanation:

Mean = 269 days

standard deviation = 8 days

let n be the pregnancy lenght.

using normal distribution formula

z = (n – mean)/ standard deviation

n = z * standard deviation + mean

Now, z values for the top 12% has to be found using a z table.

The top 12% means 88% of area under the curve. In this case z = 1,176

n = 1,176 * 8 + 269

n = 278.4 = 279

The bottom 3% means 97% of area under the curve. In this case z = -1,882

n = -1,882 * 8 + 269

n = 253.94 = 254

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3 years ago

In a race, a bicyclist travels 180 miles in 10 hours what is the unit rate in miles per hour? Question A 9 Miles per hour Questi

Svet_ta [14]

18 mph. Answer B is the correct answer

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3 years ago

Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

tangare [24]

Answer: 177.5

Step-by-step explanation:so to find to area u need to multiply 16 times 16,which gives u a area of 256. Now to find to Area of circle u need to do 5*5 becuse 5 is the radius,and that is 25. 25*3.14=78.5. So we need to subtract 256-78.5=177.5.

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3 years ago