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barxatty [35]
2 years ago
10

The line parellel to 2x+y=5 and passing through (5,4) has equation

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
4 0

Answer:

y=-2x+14

Step-by-step explanation:

If we are looking for a line parallel to 2x+y=5.

Then we are looking for an equation with the same slope as the equation 2x+y=5.

To obtain the slope of equaiton 2x+y=5 I will put it in slope-intercept form.

Luckily there is only one step which is to subtract 2x on both sides.

y=-2x+5

The slope of this line is -2

The slope of parallel line will also be -2.

So we know our equation is in the form y=-2x+b

To find b we will just use the point (x,y)=(5,4) we know is on the line.

Plug in and solve for b.

4=-2(5)+b

4=-10+b

14=b

So the equation that is parallel to 2x+y=5 and goes through (5,4) is y=-2x+14

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NeX [460]

Answer:

this should be right if not comment and I'll relook it.

FOIL Method.

You will get the same answer x^2+ 7x- 18

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8 is the answer I got when I did the equation
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2 years ago
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Joey had 26 game cards. His friend Richard gave him some more, and now Joey has 100 cards. How many cards did Richard give to Jo
Roman55 [17]

Given:

Joey had 26 game cards.

His friend Richard gave him some more, and now Joey has 100 cards.

To find:

How many cards did Richard give to Joey?

Solution:

Let x be the number of cards that Richard give to Joey.

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Now, the total cards joey has =26+x

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26+x=100

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3 0
2 years ago
What is the value of x in the equation 1/5 x-2/3y = 30, when y = 15?
Svetllana [295]

Answer:

The value of x is 200 in the equation 1/5x - 2/3y = 30, when y = 15

Step-by-step explanation:

<u>Given</u>

equation: x - 2/3y = 30

when y = 15

<em>Plug in y:</em>

1/5x - 2/3(15) = 30

1/5x - 10 = 30

<em>add</em> 10 to both sides,

1/5x - 10 + 10 = 30 + 10

1/5x = 40

<em>multiply</em> both sides by 5

1/5x * 5= 40 * 5

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Complete the square to find the vertex of this parabola.PLEASE HELP!!
Paladinen [302]

Answer:

(1, 5 )

Step-by-step explanation:

Given

x² - 2x + y - 4 = 0 ( add 4 to both sides )

x² - 2x + y = 4

Complete the square on x² - 2x

add ( half the coefficient of the x term )² to both sides

x² + 2(- 1)x + 1 + y = 4 + 1, that is

(x - 1)² + y = 5

Subtract (x - 1)² from both sides

y = - (x - 1)² + 5

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - (x - 1)² + 5 ← is in vertex form

with vertex = (1, 5 )

4 0
3 years ago
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