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larisa [96]
3 years ago
13

(m3 - 6m2 - 16m + 63) divided by (m - 7)

Mathematics
1 answer:
Arlecino [84]3 years ago
3 0

Therefore( m^3 -6m^2-16m +63 )÷ (m-7)  =  (m^2 +m-9)

Step-by-step explanation:

m^3 -6m^2-16m +63

=m^3 -7m^2+m^2 -7m-9m+63

=  m^2(m-7)+m(m-7)-9(m-7)

= (m-7 ) (m^2 +m-9)

Therefore( m^3 -6m^2-16m +63 )÷ (m-7)  =  (m^2 +m-9)

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Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5. ​
Licemer1 [7]
<h3>Answer:</h3>

y=1/2x

<h3>Solution:</h3>
  • The slopes of perpendicular lines are opposite reciprocals of each other.
  • The simplest way to determine a number's reciprocal is to flip it over, like so:
  • -2 ~ - > -\displaystyle\frac{1}{2}
  • Now, change the sign:
  • \displaystyle\frac{1}{2}
  • So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
  • Now, let's find the line's equation.
  • First, let's write it in Point-Slope Form:
  • y-y1=m(x-x1)
  • y-(-2)=1/2(x-4)
  • y+2=1/2x-2 (Point slope)
  • Now, convert to slope-intercept:
  • y=1/2x+2-2
  • y=1/2x

Hope it helps.

Do comment if you have any query.

5 0
2 years ago
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TO ANYONE WHO WILL HELP ME..
NikAS [45]

Answer:

there isn't a math question

Step-by-step explanation:

4 0
3 years ago
13 1/3% as a fraction in simplest form
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How do i measure the diameter of a circle?
gayaneshka [121]

Answer:

Step-by-step explanation:

If you know the radius of the circle, double it to get the diameter. The radius is the distance from the center of the circle to its edge. If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter

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3 years ago
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Nataliya [291]

The inverse of a function is given as √x - 1

<h3>Inverse of a function</h3>

To get the inverse of any function f(x) we need to ensure that it passes the horizontal line test.

Given the following function

f(x) = (x+1)^2

Let y= f(x) to have:

y = (x+1)^2

Replace y with x to have:

x = (y+1)^2

Make y the subject of the formula

√x =y + 1

Subtract 1 from both sides

√x - 1 = y

Swap

y = √x - 1

Hence the inverse of a function is given as √x - 1

Learn more on inverse of a function here: brainly.com/question/3831584

#SPJ1

5 0
1 year ago
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