$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})~\hspace{10em}slope = m\implies -3\\\\\\ \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-4=-3[x-(-1)]\\\\\\y-4=-3(x+1)\implies y-4=-3x-3\implies y=-3x+1$

3 0

3 years ago

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Using the quadratic formula to solve 11x²-4x=1 What are The values of X?

Anvisha [2.4K]

$11x^2 - 4x = 1$
$11x^{2} - 4x - 1 = 1 - 1$
$11x^{2} - 4x - 1 = 0$
$x = \frac{-(-4) \± \sqrt{(-4)^{2} - 4(11)(-1)}}{2(11)}$
$x = \frac{4 \± \sqrt{16 + 44}}{22}$
$x = \frac{4 \± \sqrt{60}}{22}$
$x = \frac{4 \± 2\sqrt{15}}{22}$
$x = \frac{2 \± \sqrt{15}}{11}$
$x = \frac{2 + \sqrt{15}}{11}\ \bold{or}\ x = \frac{2 - \sqrt{15}}{11}$

8 0

4 years ago

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Write the following decimals as fractions.<br><br>Show work for each and every question below.

kotegsom [21]

Answer:

5a) 0.2823=2823/10000

5b) 0.5474=2737/5000

6a)0.3484=871/2500

6b) 0.5=1/2

7a) 0.11=11/100

7b) 0.1224=153/1250