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3 years ago

Line a is represented by the equation y=−2x+3 .

Mathematics

2 answers:

lana [24]3 years ago

8 0

Answer:

1)y=2x-1: Neither

2)y=-2+5: Parallel

3)y=12x+7: Perpendicular

Step-by-step explanation:

I went on Desmos.com and graphed all of the equations. 1) crosses the equation but is not perpendicular because it doesnt form a 90 degree angle. 2) is obvious when you look at the graph and lastly 3) is the only one left and when it crosses it makes a 90 degree angle. Hope this helps <3

Daniel [21]3 years ago

6 0

Y = -2x + 5 is parallel to line as the slopes ( = -2) are the same.

the other 2 lines are nether parallel or perpendicular

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The number of portable widgets produced weekly by Widget, Inc., is related to the weekly profit in the way:

mixer [17]

9514 1404 393

Answer:

22 widgets
$58,400

Step-by-step explanation:

The turning point (maximum or minimum) of quadratic function ...

f(x) = ax² +bx +c

is at x = -b/(2a).

Here, this means the maximum profit will be had when the number of widgets produced weekly is ...

x = -88/(2(-2)) = 22

The profit at that level of production is ...

P(22) = (-2·22 +88)(22) -384 = 44(22) -384 = 968 -384 = 584 . . . hundreds

22 widgets must be produced weekly for the maximum weekly profit of $58,400.

3 0

3 years ago

I'm stuck on here, please, someone help me.

Sophie [7]

Answer:

Answer B

Step-by-step explanation:

therw is one full one and one with five

6 0

3 years ago

Which equation could represent the relationship shown in the scatter plot?

BigorU [14]

Answer:

y = 7/8x + 6

-Hope This Helps

6 0

3 years ago

Read 2 more answers

Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible

Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

$pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

$or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} }$

By simplifying it we get,

$8$

Now,

again finding the distance between PR,

$pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} }$

or,

$\sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} }$

By simplifying it we get,

$= \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 }$

now, finding the distance of QR,

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

or, by simplification we get,

$\sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

now, equating PR and QR,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

we cancelled the root ,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29$

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8}$

cancel the roots,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = 8$

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

Hope it helps...

3 0

3 years ago

A number times 45 decreased by 12 is no more than 117

Kay [80]

Answer: n*4512 is less than or equal to 117

Step-by-step explanation: n=number N*45=X X=Number more than 117. X decreased by 12 is less than or equal to 117.

5 0

3 years ago