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Maru [420]
3 years ago
6

Write the equation of a line that passes through the point (-2,7) and perpendicular to a line that passes through the points (-6

,1) and (0,4)
Mathematics
1 answer:
Alexandra [31]3 years ago
8 0

Answer:

Step-by-step explanation:

(x₁, y₁)= (-6,1)  and (x₂,y₂) = (0,4)

Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

          = \dfrac{4-1}{0-[-6]}\\\\=\dfrac{3}{0+6}\\\\=\dfrac{3}{6}\\\\=\dfrac{1}{2}

Slope of line perpendicular to it = -1/m  

                                                     = \dfrac{-1}{\dfrac{1}{2}}\\\\=-1*\dfrac{2}{1}=-2

Equation : y =mx +b

y = -2x + b

Plugin x = -2 and y =7 in the above equation

7 = -2*(-2) + b

7 = 4 + b

7-4=b

3 = b

Equation: y =-2x + 3

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What is the 10th term in the increasing pattern shown?<br><br> 1, 1, 2, 3, 5, 8, 13
Vika [28.1K]

Answer:

55

Step-by-step explanation:

(after the first "1") You need to add the previous two numbers together to get the next number in the pattern.

7 0
3 years ago
What are the zeros of the function below?
Ivan
When you want to find zeros of rational expression you need to find at which points numerator is equal to zero. In this case, we have the product of three expressions.
x(x-1)(x+11)=0
A product is equal to zero whenever one of the factors is equal to zero. 
That means that zeros of our functions are:
1)x=0
2)x-1=0
x=1
3)x+11=0
x=-11
The final answer is a. Function has zeros at (0, 1, -11).

3 0
3 years ago
Identify the slope and y-intercept of the line. y = 4x − 11<br> slope=<br> y-intercept (x, y) =
MArishka [77]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 4x − 11

Comparing with the general equation above

<h3>Slope = 4</h3><h3>y - intercept = - 11 or ( 0 , - 11)</h3>

Hope this helps you

5 0
4 years ago
Please someone help me solve this question
miv72 [106K]

Answer:

  D.  right 4, down 8

Step-by-step explanation:

The usual transformations applied to functions are ...

  f(x) ⇒ f(x -h) . . . . translation right h units

  f(x) ⇒ f(x) +k . . . . translation up k units

  f(x) ⇒ k·f(x) . . . . . vertical scaling by a factor of k; reflection over x-axis when k < 0

  f(x) ⇒ f(x/k) . . . . . horizontal scaling by a factor of k; reflection over y-axis when k < 0

In the above, "scaling" will be expansion when |k| > 1, compression when |k| < 1.

__

Your transformation is ...

  x^2 ⇒ (x -4)^2 -8

  f(x) ⇒ f(x -4) -8

This is translation with h=4 and k=-8. That is, it is translation right 4 units and down 8 units.

_____

<em>Additional comment</em>

Like much of math, it is all about matching patterns.

4 0
2 years ago
Find angles A, B, C, D, &amp; E.
matrenka [14]

Answer:

Step-by-step explanation:

B = 35      {Alternate interior angles}

C = 75      {Corresponding angles}

D + 75 =  180 {Linear pair}

     D = 180 - 75

     D = 105

A = C   {Corresponding angles}

A = 75

E = A   {Alternate interior angles}

E = 75

4 0
3 years ago
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