3 years ago

What is the vertex of the parabola to the below?

Mathematics

2 answers:

Kipish [7]3 years ago

8 0

The answer is 1 and -3

kodGreya [7K]3 years ago

4 0

Answer:

(1,-3)

Step-by-step explanation:

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Find a_1 and d for an arithmetic sequence with these terms. a_4=9and a_7=18

jonny [76]

$\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_4&9\\
a_5&9+d\\
a_6&(9+d)+d\\
&9+2d\\
a_7&(9+2d)+d\\
&9+3d=\underline{18}
\end{array}\\\\
-------------------------------\\\\
9+3d=18\implies 3d=9\implies d=\cfrac{9}{3}\implies \boxed{d=3}$

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=3
\end{cases}
\\\\\\
a_7=a_1+(7-1)d\implies 18=a_1+(7-1)3\implies 18=a_1+18
\\\\\\
18-18=a_1\implies \boxed{0=a_1}$

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3 years ago

10. Please help. What is the length of ED⎯⎯⎯⎯⎯⎯⎯⎯?

DedPeter [7]

Answer:

The correct value is 12.

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Galina-37 [17]

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HELP! WILL GIVE BRAINLEST

trasher [3.6K]

Answer:

Option C: 41

Step-by-step explanation:

<ABD+<CBD=90

<ABD=8x+1

<CBD=6x+5

(8x+1)+(6x+5)=90

Combine like terms

(8x+6x)+(1+5)=90

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divide both sides by 14

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3 years ago

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