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Oksanka [162]
3 years ago
5

I need help PLEASSEE

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0
We know that perpendicular lines have slopes which are negative inverses of each other. This means that the slope of the line we are going to need to find is 3.

Now, we can use the point-slope formula to find the actual equation of the line we are trying to find. The point-slope formula is (y - y_1) = m(x - x_1), where y_1 and x_1 are the coordinates of a point on the line and m is the slope. 

Thus, the equation of the line we are trying to find is:
(y - 7) = 3(x - 2)
y - 7 = 3x - 6
y = 3x + 1

However, this is not an answer choice. The answers given have the constant on the right side of the equation. Thus, we will make our answer have the constant on the right side:
y - 3x = 1
-3x + y = 1
3x - y = -1

This is an answer choice. B, or 3x - y = -1 is the correct answer.
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Answer:

I'm not sure from my answer but I'm going to try

A =  { a^2  -  4  = 0 }

A = { a^2  = 0+ 4 }

A = { a^2  = 4}

Take root of both sides

A = {a = 2}

A = {2}

B = { -2, -1, 0, 1, 2}

C = { 1, 2, 3, 4, 5, 6,7}

i) A\B

= {2} \ {-2,-1,0,1,2}

= ⌀ ( "null set" )

ii) (A\B) \C

= ( {2} \ {-2,-1,0,1,2} ) \ C

= ⌀ \ C

= ⌀ \ { 1, 2, 3, 4, 5, 6,7}

= ⌀ ( "null set" )

iii) (A ∪ B) \ C

= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C

= { -2, -1, 0, 1, 2} \C

= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}

= { -2, -1, 0 }

iv) ( A\B) ∩ ( A\C)

= (  { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )

= ⌀ ∩ ⌀

= ⌀

v) ( A ∩ B ) \ C

= ( { 2 }  ∩  { -2, -1, 0, 1, 2 } ) \ C

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7 0
3 years ago
What is the measure of o
Helga [31]

Answer:

D

Step-by-step explanation:

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s=r \theta

Where

s is the arc length

r is the radius of the circle

\theta is the intercepted angle

In this diagram, we can see that  \theta  is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20

Also, if we look, we see that the radius is 5 cm, so r = 5

Now, we substitute into formula and find \theta:

s=r\theta\\20=5\theta\\\theta=\frac{20}{5}\\\theta=4

This is given in radians, so \theta is 4 radians

D is the correct answer choice.

6 0
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Answer:

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