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3 years ago

Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function

Mathematics

1 answer:

hammer [34]3 years ago

6 0

Answer: Its a function

Step-by-step explanation:

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I need the answer for this exact question

denis23 [38]

Answer:

$y=\frac{7}{2}x-20$

Step-by-step explanation:

Let the equation of the line be $y-y_1=m(x-x_1)$ where, 'm' is its slope and $(x_1,y_1)$ is a point on it.

Given:

The equation of a known line is:

$y=-\frac{2}{7}x+9$

A point on the unknown line is:

$(x_1,y_1)=(4,-6)$

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is $m_1=-\frac{2}{7}$

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

$m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}$

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

$y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20$

The equation of a line perpendicular to the given line and passing through (4, -6) is $y=\frac{7}{2}x-20$ .

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The 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that t

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Step-by-step explanation:

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2 years ago

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Question 8 of 10 sin(**) = O A E O B. O c. O D. 2

galben [10]

Answer:

Step-by-step explanation:

i upload the image sorry i don't know how to explain i just search it

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2 years ago

(0, -9) and (-3, -3) I need this problem solved with work please!

nirvana33 [79]

Answer:

-9-(-3)/0-(-3) = -3/3 = -1

y+9= -1(x-0) Point Slope form

y+9-9= -1x-9

y= -x-9 Slope Intercept form

y+x+9 = -x-9 +x+9

y+x+9= 0 General form

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3 years ago

Two numbers have a difference of 12. The smaller of the two numbers is 3 less than double the other. What are the two numbers?

nexus9112 [7]

Answer:

-9,-21

Step-by-step explanation:

let the numbers be x and y and x>y

x-y=12

y=2x-3

x-(2x-3)=12

x-2x+3=12

-x=12-3

-x=9

x=-9

y=2(-9)-3=-18-3=-21

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3 years ago