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2 years ago

Consider the line y =2/3x-4.

Mathematics

1 answer:

ladessa [460]2 years ago

6 0

Answer:

1.) a line parallel to the line will have slope 2/3

2.) a line perpendicular to the line will have slope -3/2

Step-by-step explanation:

The slope of parallel lines must always be the same. Therefore, if a line is parallel to y = 2/3x - 4, the other line must have slope 2/3 and not have the same y-intercept (otherwise it would represent the same line).

The slope of perpendicular lines are reciprocals with opposite signs. Basically, if you have one slope of one equation, to find the perpendicular slope you would simply flip the slope over and change the sign.

For example: if the slope was 2/3, the perpendicular slope is flipping 2/3 upside down to get 3/2 and changing the sign from positive to negative = -3/2

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What is the measure of ∠A, the exterior angle of the triangle shown below? F. M∠A = 92°, because 180 – (50 + 38) = 92. G. M∠A =

hjlf

Answer: A is 88

Step-by-step explanation:

Sum of all angles is 180 degree.

Let the third interior angle be x.

38+50+x=180

88+x=180

x= 92

A and X are in linear pair.

A+X=180

A+92=180

A=88

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2 years ago

If 3/10 was spent warming up and cooling down how many minutes was it

777dan777 [17]

18 minutes
3/10=18/60
60 represents the hour
18 represents time spent warming up and cooling down.

4 0

2 years ago

A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard

exis [7]

Answer n=6

Step-by-step explanation:

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2 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

2 years ago

Using the right triangle below. What is the name for side AC ?

irga5000 [103]

Answer:

B) Adjacent

Step-by-step explanation:

The hypotenuse will ALWAYS be designated as the longest side in a right triangle.

Pretend that the angle (the one with the round line) is an eyeball that is looking outwards. The eye is looking out at side BC. That means that line BC is opposite of the angle.

This leaves one side left: the adjacent side. The adjacent side is the side next to the angle. But it is the side that is NOT the hypotenuse.

4 0

2 years ago