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DiKsa [7]
3 years ago
10

Step-by-step explanation will be very helpful: -4x ≥ 21

Mathematics
2 answers:
kirill [66]3 years ago
6 0

-4x>21

-4x>-4x

x>17

first you have to subtract

Step-by-step explanation:

  1. subtract -4 to both sides
  2. cancel out the -4 bring down the x with the greater than equal to symbol and the amswer which is 17
  3. answer is x greater than equal to 17

olchik [2.2K]3 years ago
3 0

Answer:

x≤ -21/4

Step-by-step explanation:

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What is an equation of a line which passes through (6,9) and is perpendicular to the line whose equation is 4x − 6y = 15?
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<u>Given:</u>

The equation of the line passes through the point (6,9) and is perpendicular to the line whose equation is 4 x-6 y=15

We need to determine the equation of the line.

<u>Slope</u>:

Let us convert the equation to slope - intercept form.

-6 y=15-4x

   y=\frac{2}{3}x-\frac{5}{2}

From the above equation, the slope is m_1=\frac{2}{3}

Since, the lines  are perpendicular, the slope of the line can be determined using the formula,

m_1 \cdot m_2=-1

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      m_2=-\frac{3}{2}

Therefore, the slope of the equation is m=-\frac{3}{2}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the point (6,9) and the slope m=-\frac{3}{2} in the above formula, we get;

y-9=-\frac{3}{2}(x-6)

Simplifying the terms, we get;

2(y-9)=-3(x-6)

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3 years ago
A line is defined by the equation y=2/3x-6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of
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Step-by-step explanation:

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Hi there! :) :D

Step-by-step explanation:

SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}

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<u><em>Undefined.</em></u>

<u><em>Therefore, the slope is -11/0</em></u>

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