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Amanda [17]
3 years ago
5

Write the quadratic equation y=x^2-6+7 in vertex form

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0
Half the x-coefficient is -3, so the equation needs to be rearranged into a form that looks like
  x² -6x +(-3)² + [something]
You can get there by adding and subtracting 9 from the original equation.
  y = x² -6x +9 +7 -9 . . . . . 9 added and subtracted
  y = (x² -6x +9) -2
The quantity in parentheses is a perfect square, so we can write the equation in the desired form as ...
  y = (x -3)² -2
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In a rectangle, the ratio of the width to the length is 4:5. If the rectangle is 40
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Answer:

50 cm

Step-by-step explanation:

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What is the equation of the line that passes through the origin and is perpendicular to the line 4x+3y=6
frez [133]

The Equation of a Line

The slope-intercept form of a line can be written as:

y = mx + b

Where m is the slope of the graph of the line and b is the y-intercept.

In the specific case where the line passes through the origin (0,0), we can find the value of b by substituting x=0 and y=0:

0 = m(0) + b

Solving for b:

b = 0.

Thus, the equation of the line reduces to:

y = mx

We only need to find the value of the slope.

That is where we need the second data. Our line is perpendicular to the line of equation 4x + 3y = 6.

Solving for y:

y=-\frac{4}{3}x+2

The slope of the second line is -4/3.

We must recall that if two lines of slopes m1 and m2 are perpendicular, then:

m_1\cdot m_2=-1

Substituting the value of m1 and solving for m2:

\begin{gathered} -\frac{4}{3}\cdot m_2=-1 \\ m_2=\frac{3}{4} \end{gathered}

The slope of our line is 3/4 and the required equation is:

y=\frac{3}{4}x

From this last equation, we need to find the general form of the line.

Multiply both sides of the equation by 4:

4y = 3x

Subtract 3x on both sides:

4y - 3x = 0

Reorder:

-3x + 4y = 0

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3 years ago
Find the inequality represented by the line. Need help immediately. Explain if you can
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Answer:

ok fine 1.3x+4y<10

Step-by-step explanation:

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