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Natasha_Volkova [10]
3 years ago
8

Consider the line y=-1/2x+8

Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0

Given parameters:

Equation of the line is y = -\frac{1}{2} x + 8

Unknown:

Slope of line parallel to this line = ?

Slope of line perpendicular = ?

Solution:

A line parallel to this line will have the same slope with it.

A line perpendicular will have the negative inverse of this slope;

Slope of line  = - \frac{1}{2}

Slope of line parallel to this line = -\frac{1}{2}

Slope of line perpendicular = negative inverse = -( -(\frac{1}{\frac{1}{2} }))   = 2

So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2

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Find the value of sec(theta°)cos(theta°) for the following values of theta. <br> b. theta = 225
Nesterboy [21]

Answer:

sec(theta°)cos(theta°) = 1  

Step-by-step explanation:

given data

(theta°) = 225

to find out

sec(theta°)cos(theta°)

solution

as we know that given equation

(theta°) = 225

cos(theta°) will be

cos(225°) = -0.7071      .................................1

so we know

sec(theta°) = \frac{1}{cos(theta)}      ..............2

so put here value of cos(theta°)

sec(theta°) = \frac{1}{-0.7071}

sec(theta°) = - 1.4142

so

sec(theta°)cos(theta°) = -0.7071  × ( - 1.4142 )

sec(theta°)cos(theta°) = 1

so answer is sec(theta°)cos(theta°) = 1  

8 0
3 years ago
Rectangle with a side length of 11" and a diagonal of 14" what is the perimeter
notka56 [123]

Answer:

10sqrt3+22

Step-by-step explanation:

Ok, let us imagine it as a sort of rectangle split upon its diagonal.

Using that, we can Pythag it out,

11^2+b^2=14^2

121+b^2=196

b^2=75

b=sqrt75

b=5sqrt3

Ok, using this info, we find the perimeter,

5sqrt3+5sqrt3+11+11

10sqrt3+22

The answer is 10sqrt3+22

7 0
3 years ago
Read 2 more answers
The graph shows the attendance at a hockey game, and the rate at which the fans enter and exit the
Strike441 [17]

Answer:

The answer is below

Step-by-step explanation:

From the graph, we can see that both segment 1 and segment 2 are positive slopes (as the time increases, the number of people increases)

Segment 1 is more steep than segment 2 (the number of people increases in segment 1 more than segment 2). This means that the number of people entering the arena in segment 1 was higher than the rate of people entering the arena in segment 2.

8 0
4 years ago
Find the approximate value of the circumference of a circle with the given radius. Use = 3.14. Round your results to one more de
Natali5045456 [20]
C = 2 x 3.14 x 4.6
C = 28.89 

answer 
C = 28.89 in
5 0
3 years ago
Read 2 more answers
Examine the following equation and classify the type of solution.
Viktor [21]

Answer:

<h2>infinitely many solutions</h2>

Step-by-step explanation:

5x - 6 = 3x - 6 + 2x     <em>combine like terms</em>

5x - 6 = (3x + 2x) - 6

5x - 6 = 5x - 6         <em>subtract 5x from both sides</em>

-6 = -6        TRUE

Therefore the equation has infinitely many solutions.

5 0
3 years ago
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