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Mathematics

1 answer:

sweet [91]3 years ago

6 0

So basically you would take you your m which is 339 degrees greater than 3 so you would divide 339 by 3 and get 113 so your m= 113 degrees so for example the first question would be m<1 = 113 and so on so you would multiply 113 by the number it is greater than

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-5(x - 4) + 6 = 5(3x+4) -4

jenyasd209 [6]

Answer:

x=1/2

Step-by-step explanation:

-5(x - 4) + 6 = 5(3x+4) -4

WE APPLY DISTRIBUTIVE PROPERTY:

-5*x +5*4 + 6 = 5*3x +5*4 -4

-5x + 26 = 15x +20 -4

26 +4 -20=15x+5x

10=20x

x= 10/20

we have:

x=1/2

3 0

3 years ago

At what point on the graph of y=2e^X -1 is the tangent line parallel to the line y= 5x -1

IgorLugansk [536]

Paralell has same slope
y=mx+b
m=slope
y=5x-1
when is the slope 5?

take the derivitive of 2e^x
f'(2e^x)=2f'(e^x)=2e^x

that is the slope
5=2e^x
divide both sides by 2
2.5=e^x
take the ln of both sides
ln2.5=x

when x=ln2.5 they are paralell

5 0

3 years ago

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

QveST [7]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
C&({{ -1}}\quad ,&{{ 4}})\quad 
% (c,d)
D&({{ 2}}\quad ,&{{ 0}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
CD=\sqrt{[2-(-1)]^2+(0-4)^2}\implies CD=\sqrt{(2+1)^2+(-4)^2}
\\\\\\
CD=\sqrt{9+16}\implies CD=\sqrt{25}\implies CD=5$