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sergey [27]
3 years ago
15

What us the equation of the line that passes through point (2,5) and (0, -2)

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

Answer:

y = 7/2 x -2

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (-2 -5)/(0-2)

   =-7/-2

   = 7/2

We know the y intercept is -2  ( The x coordinate is 0)

Using the slope intercept form of the equation

y = mx+b  where m is the slope and b is the y intercept

y = 7/2 x -2

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The perimeter of the flag is 2080 ft what is the flags width and length of the length is 420 ft greater than the width
hram777 [196]

Answer:

The length of the flag is 730 ft and the width is 310 ft

Step-by-step explanation:

<u><em>The correct question is</em></u>

The perimeter of the flag is 2080 ft what is the flags width and length <u>if</u> the length is 420 ft greater than the width

Let

L ----> the length of the flag

W ---> the width of the flag

we know that

The perimeter of the flag (rectangle) is equal to

P=2(L+W)

we have

P=2,080\ ft

so

2,080=2(L+W)

1,040=L+W ----> equation A

L=W+420 ---> equation B

Solve the system by substitution

substitute equation B in equation A

1,040=(W+420)+W

solve for W

1,040=2W+420

2W=1,040-420

2W=620

W=310\ ft

<em>Find the value of L</em>

L=W+420 ----> L=310+420=730\ ft

therefore

The length of the flag is 730 ft and the width is 310 ft

5 0
3 years ago
Which function has only one x-intercept at (-6, 0)?
Lelu [443]

Answer:

<h2>The function f(x) = (x - 6)(x - 6) has only one x-intercept. But at (6, 0) not at (-6, 0).</h2>

Step-by-step explanation:

The intercept form of a quadratic equation (parabola):

y=a(x-p)(x-q)

p, q - x-intercepts

Therefore

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has two x-intercept at (-6, 0) and (6, 0)

The function f(x) = (x + 1)(x + 6) = (x - (-1))(x - (-6))

has two x-intercepts at (-1, 0) and (-6, 0).

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