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ankoles [38]
3 years ago
10

Identify the vertex of each function please help

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer:

12. (4, 7)

13. (5, -1)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex (h, k).

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What is the final amount if 588 is decreased by 3% followed by a 6% increase?
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Step-by-step explanation:

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Here is a recipe for hot chocolate. The recipe makes 4 cups. You and 7 friends are going to enjoy some hot chocolate outside, so
prisoha [69]

Answer:

The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.

Step-by-step explanation:

The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.

3 0
3 years ago
What is the equation for a circle with a center at (-2,-4) that passes through the point (3,8)?
Margarita [4]
Check the picture below.

so, the center of the circle is the midpoint of that diametrical segment, and half that length is the radius.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -2 &,& -4~) 
%  (c,d)
&&(~ 3 &,& 8~)
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{3-2}{2}~~,~~\cfrac{8-4}{2} \right)\implies \left( \frac{1}{2}~,~2 \right)\impliedby center

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -2 &,& -4~) 
%  (c,d)
&&(~ 3 &,& 8~)
\end{array}~~~ 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[3-(-2)]^2+[8-(-4)]^2}\implies d=\sqrt{(3+2)^2+(8+4)^2}
\\\\\\
d=\sqrt{25+144}\implies d=\sqrt{169}\implies d=13\qquad\qquad \qquad  \stackrel{radius}{\frac{13}{2}}

\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{\frac{1}{2}}{ h},\stackrel{2}{ k})\qquad \qquad 
radius=\stackrel{\frac{13}{2}}{ r}
\\\\\\
\left( x-\frac{1}{2} \right)^2+(y-2)^2=\left( \frac{13}{2} \right)^2\implies \left( x-\frac{1}{2} \right)^2+(y-2)^2=\frac{169}{4}

3 0
3 years ago
Read 2 more answers
How do you express the ratio 9 yards into 9 feet
svlad2 [7]
I have NO idea. Try searching on the enternet

4 0
3 years ago
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