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Novay_Z [31]
3 years ago
8

Find the point slope equation for the line that passes through the points (1,-9) and (-10,101)

Mathematics
1 answer:
neonofarm [45]3 years ago
5 0

Answer:

( y + 9 ) = -10( x - 1 )

Step-by-step explanation:

First we calculate the slope

m=\frac{-9-101}{1-(-10)} =-10

Then we choose a point it could be (1,-9) or (-10,101), I choose (1,-9), the slope point form is (y-y1)=m(x-x1)

( y - (-9) ) = -10( x - 1 )

( y + 9 ) = -10( x - 1 )

it could be also...

( y - 101  )= -10( x- (-10) )

( y - 101 ) = -10( x + 10 )

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Find the value of y that makes the equation y= 1/2x- 2 true when x=4 A. -4
olchik [2.2K]

Answer:

y = 0

Step-by-step explanation:

y =1/2(4)-2

y= 2-2

y=0

6 0
2 years ago
Find the circumference and area of each circle. Include the formula thank you
yaroslaw [1]
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8 0
3 years ago
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The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for adm
PolarNik [594]

Answer:

16%; 2.5%; 34%; 81.5%

Step-by-step explanation:

Using the empirical rule, we know that 68% of data falls within one standard deviation of the mean; 95% of data falls within two standard deviations of the mean; and 99.7% of data falls within 3 standard deviations of the mean.

This means from the mean to 1 standard deviation (σ) above is 34% of data; from the mean to 1 σ below is 34% of data; from 1 σ to 2σ above is 13.5% of data; from 1σ to 2σ below is 13.5% of data; from 2σ to 3σ above is 2.35% of data; from 2σ to 3σ below is 2.35% of data; more than 3σ above is 0.15% of data; and more than 3σ below is 0.15% of data.

647 is 1 σ above the mean.  This means that we go from here above;

13.5+2.35+0.15 = 16%

747 is 2σ above the mean.  This means that we go from here above:

2.35+0.15 = 2.5%

447 is 1σ below the mean and 547 is the mean.  This means that we have 34%.

347 is 2σ below the mean and 647 is 1 above the mean.  This means we go from:

13.5+34+34 = 81.5%

6 0
3 years ago
What is the length of an arc with a central angle of 4/3π radians and a radius of 42 centimeters?
Montano1993 [528]
First, we've got to convert radians to degrees.

blank degrees = 4π/3 * (180/π)
= 240

So, the arc we are measuring is 240 degrees.

Now let's find the length of the arc. 
The formula is θ/360 * 2πr

240/360 * 2 * (3.14) * 42

= 2/3 * 2 * 3.14 * 42

= 4/3 * 3.14 *42

= 12.56/3 *42

= 527.52/3

= 175. 84

The length of the arc is about 175.84 cm long.
7 0
3 years ago
F(x)=3x 2 +24x+48f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 24, x, plus, 48 What is the value of th
neonofarm [45]

Answer:

The discriminant of function is 0. There one distinct real number zero of f(x)(repeated roots).

Step-by-step explanation:

We are given the following function in the question:

f(x)=3x^2 +24x+48

We have to calculate the discriminant of the function.

Comparing to

f(x) = ax^2+bx+c

We get,

a = 3\\b=24\\c = 48

Discriminant is given by:

D = b^2-4ac

Putting values, we get,

D = (24)^2-4(3)(48) = 0

Thus, the discriminant of function is 0.

Since, the discriminant is zero, the function have repeated real roots. Thus, one distinct real number zero of f(x).

3 0
3 years ago
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