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2 years ago

5

If

1 answer:

alexira [117]2 years ago

8 0

Answer:

f(x) = -1/2x + 1

Step-by-step explanation:

Remember that f(x) = y

f(-2) = 2 tells you that when x = -2, y = 2 ; So you have point (-2, 2)

f(2) = 0 tells you that when x = 2, y = 0 ; So you have point (2, 0)

Now use the two points to find the slope: Slope = (change in y)/(change in x)

So slope = (0-2)/(2-(-2) = -2/4 = -1/2

Next find "b" using the slope and one point and solve for "b"

y = mx + b slope = -1/2 point (-2, 2)

2 = -1/2(-2) + b

2 = 1 + b

1 = b

Last thing to do: write the equation using slope = -1/2 and b = 1 into y = mx + b

y = -1/2x + 1

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2 years ago

Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel

icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

$(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}$

Line h passes through the following points:

$(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}$

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

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Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

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2 years ago

How do you solve it?

MatroZZZ [7]

Answer:

<em>i: </em>x=-2, x=1

<em>ii: </em>x=-1/2

Step-by-step explanation:

Quadratic form:

You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

$(x+2)(x-1)=0$

<em>"first"</em> would be $x*x$ , which would equal $x^{2}$

<em>"outside"</em> would be $x*-1$ , which would equal $-1x, or -x$

<em>"inside"</em> would be $2*x$ , which would equal $2x$

<em>"last" </em>would be $2*-1$ , which would equal $-2$

Now you need to combine the terms so that they are one after the other

$x^{2}-x$ $+2x-2$

Combine like terms, and you should get:

$x^{2} +x-2$

i Solution

<em>You need to get the variable by itself.</em>

<em>Subtract two from both sides</em>

$x+2=0\\x=-2$

<em>Add one to both sides.</em>

$x-1=0\\x=1$

ii Solution

<em>Add all the terms.</em>

$x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}$

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2 years ago

Someone please help me

Inessa05 [86]

9514 1404 393

Answer:

A. 16°

Step-by-step explanation:

Angle E corresponds to angle N, the third angle in ∆MNO. Its measure is ...

∠N = 180° -∠M -∠O

∠N = 180° -99° -65°

∠N = ∠E = 16°

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geniusboy [140]

Answer: is C

Step-by-step explanation:

16.70% XD OWO -W- ;$

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2 years ago

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