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2 years ago

Write an equation of a horizontal line tuat passes through the point (3,-3)

Mathematics

2 answers:

aniked [119]2 years ago

6 0

Answer:

y = -3

Step-by-step explanation:

A horizontal line has all the same y values, but changing x values

y must equal -3 all the time if it goes through (3,-3)

y = -3

Wewaii [24]2 years ago

4 0

Slope intercept form: y = mx + b

Since the line is horizontal, the slope is going to be 0. A horizontal line also has the same y value all along the line. Therefore, the y-intercept is -3.

Eauation: y = -3

Best of Luck!

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If f(x) = 2x – 6 and g(x) = x – 22, find each value.

Charra [1.4K]

Answer:

Step-by-step explanation:

I think you made a typo. g(x) should equal x - 2 not x - 22

g(x) = x - 2

g(-1) = -1 - 2

g(-1) = - 3

The answer is d. Otherwise there is no answer.

7 0

2 years ago

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

Anastasy [175]

Answer:

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

Step-by-step explanation:

An equation in the vertex form is written as

$y = a (x-h) + k$

Where the point (h, k) is the vertex of the equation.

For an equation in the form $ax ^ 2 + bx + c$ the x coordinate of the vertex is defined as

$x = -\frac{b}{2a}$

In this case we have the equation $y = 9x^2 + 9x - 1$ .

Where

$a = 9\\\\b = 9\\\\c = -1$

Then the x coordinate of the vertex is:

$x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}$

The y coordinate of the vertex is replacing the value of $x = -\frac{1}{2}$ in the function

$y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}$

Then the vertex is:

$(-\frac{1}{2}, -\frac{13}{4})$

Therefore The encuacion excrita in the form of vertice is:

$y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

To find the coefficient a we substitute a point that belongs to the function $y = 9x^2 + 9x - 1$

The point (0, -1) belongs to the function. Thus.

$-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}$

$-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9$

<em>Then the written function in the form of vertice is</em>

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

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3 years ago

Write the equation of the line that passes through (2, 0) and (0, 3).

Alex_Xolod [135]

Answer:

Y= -1.5x+3

Step-by-step explanation:

(Y-Y1)=m(x-x1)

0-3=m(2-0)

m= -1.5

Y= -1.5x+B

when y=3 and x=0 b=3

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Answer:

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Step-by-step explanation:

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