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Nikolay [14]
3 years ago
6

How does the graph of y = ax2 + c compare to the graph of y ax2

Mathematics
1 answer:
avanturin [10]3 years ago
4 0

Answer:

y = a {x}^{2}  + c \\ y = a {x}^{2} \\ \\  y = a {x}^{2}  + c \:  \:  \: is \: translated  \: along \: the \: y \: axis\: for \: c

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For the straight line defined by the points (4,57) and (6,91) , determine the slope ( m ) and y-intercept ( ???? ). Do not round
Ksivusya [100]

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{57})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{91}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{91}-\stackrel{y1}{57}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{4}}}\implies \cfrac{34}{2}\implies 17 \\\\\\ \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-\stackrel{y_1}{57}=\stackrel{m}{17}(x-\stackrel{x_1}{4})\implies y-57=17x-68

\bf y=17x-11\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad \begin{cases} \stackrel{slope}{17}\\\\ \stackrel{y-intercept}{(0,-11)} \end{cases}

4 0
3 years ago
How many groups of sixty are in two hundred forty four?
dedylja [7]
This is not going to be a hole number, it's about 4.0666
6 0
4 years ago
Read 2 more answers
Help plz
Ganezh [65]

Answer:

1 pound?

Step-by-step explanation:

4/4 = 1 * 1 = 1

8 0
4 years ago
Read 2 more answers
Simplify 2√2-√3<br> ---------------<br> √2+√3
serious [3.7K]

Step-by-step explanation:

=  \frac{2 \sqrt{2}   -  \sqrt{3} }{ \sqrt{2} +  \sqrt{3}  }

=  \frac{2 \sqrt{2} -  \sqrt{3}  }{ \sqrt{2} +  \sqrt{3}  }  \times  \frac{ \sqrt{2} -  \sqrt{3}  }{ \sqrt{2} -  \sqrt{3}  }

= \frac{ 2( \sqrt{2}  -  \sqrt{3} )( \sqrt{2}  -  \sqrt{3} )}{ { \sqrt{2} }^{2} -  { \sqrt{3} }^{2}  }

=  \frac{2(2 -  \sqrt{6}  -  \sqrt{6} - 3) }{2 - 3}

=  \frac{2( - 1 - 2 \sqrt{6} )}{ - 1}

=  \frac{ - 2(1 + 2 \sqrt{6} )}{ - 1}

= 2(1 + 2 \sqrt{6} )

= 2 + 4 \sqrt{6}

6 0
2 years ago
What is the value of y?<br> y +10°<br> 50°<br> A. 500<br> B. 40°<br> C. 60°<br> ОО<br> D. 300
klasskru [66]

Answer:

B

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

y + 10 + 2y + 50 = 180 , that is

3y + 60 = 180 ( subtract 60 from both sides )

3y = 120 ( divide both sides by 3 )

y = 40 → B

6 0
3 years ago
Read 2 more answers
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