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melomori [17]
3 years ago
7

Write the slope-intercept form of the equation of the line that passes thrqugh (-4, -3) and is

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

Step-by-step explanation:

Equation of the line y = mx + c

The new line is perpendicular to 2x - 3y = -5

                                         - 3y = - 5 - 2x

                                           3y = 2x + 5

                                            y =\frac{2x}{3} + \frac{5}{3}

Since the lines are perpendicular to each other : m_{1} . m_{2} = -1

where m_{1} \ slope \ of \ the \  given  \ line  \ and  \ m_{2} \  slope \ of \ the  \ new  \line\\.

Slope of the given line

                m_{1} = \frac{2}{3}

Slope of the new line

                \\\frac{2}{3}.m_{2} = -1\\  m_{2} = -1 . \frac{3}{2}   = \frac{-3}{2}

The equation to the new line passing through (-4, -3) and perpendicular to 2x - 3y = -5

                            (y - y_{1}) = m_{2}(x-x_{2} )\\\\(y - (-4)) = \frac{-3}{2}(x - (-3)) \\\\(y + 4) = \frac{-3}{2} (x+ 3)\\\\2(y +4) = -3(x+3)\\\\2y + 8 = -3x -9 \\\\2y = -3x - 9 -8\\\\y = \frac{-3x}{2} - \frac{17}{2}

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Which of the following shows the polynomial 3x^3 - 5x + x^7 + 9 + 4x^11 written in descending order?
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our exponential numbers are: 3, 1, 7,0,11 putting those from highest to lowers would put them: 4x^11+x^7+3x^3-5x+9

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Find the value of X please
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Can someone help me with this question?
elena55 [62]

Answer:

238

Step-by-step explanation:

28÷4=7

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2 years ago
What is the area of a trapezoid ABCD with bases AB and CD ,
Mrrafil [7]

check the picture below on the top side.


we know that x = 4 = b, therefore,  using the 30-60-90 rule, h = 4√3, and DC = 4+8+4 = 16.


\bf \textit{area of a trapezoid}\\\\
A=\cfrac{h(a+b)}{2}~~
\begin{cases}
a,b=\stackrel{bases}{parallel~sides}\\
h=height\\[-0.5em]
\hrulefill\\
a=8\\
b=\stackrel{DC}{16}\\
h=4\sqrt{3}
\end{cases}\implies A=\cfrac{4\sqrt{3}(8+16)}{2}
\\\\\\
A=2\sqrt{3}(24)\implies \boxed{A=48\sqrt{3}}


now, check the picture below on the bottom side.


since we know x = 9, then b = 9, therefore DC = 9+6+9 = 24, and h = b = 9.


\bf \textit{area of a trapezoid}\\\\
A=\cfrac{h(a+b)}{2}~~
\begin{cases}
a,b=\stackrel{bases}{parallel~sides}\\
h=height\\[-0.5em]
\hrulefill\\
a=6\\
b=\stackrel{DC}{24}\\
h=9
\end{cases}\implies A=\cfrac{9(6+24)}{2}
\\\\\\
A=\cfrac{9(30)}{2}\implies \boxed{A=135}

7 0
3 years ago
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