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andriy [413]
2 years ago
7

11. A line with a slope of - 1 passes through points at (2, 3) and (5. y). Find the value of y.

Mathematics
1 answer:
Basile [38]2 years ago
5 0
It’s C. 0 0-3/5-2 -> -3/3 = -1
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How many different answers can you get by grouping differently? Add parentheses to the expression 7+3•4+2 to create new expressi
DiKsa [7]

Answer: The different possible solutions are 42, 21, 31 and 80.

Explanation:

The given expression is,

7+3\cdot 4+2

Case 1.

(7+3)\cdot 4+2=10\cdot 4+2

(7+3)\cdot 4+2=40+2

(7+3)\cdot 4+2=42

Case 2.

7+(3\cdot 4)+2=7+12+2

7+(3\cdot 4)+2=21

Case 3.

7+3\cdot (4+2)=7+3\cdot 8

7+3\cdot (4+2)=7+24

7+3\cdot (4+2)=31

Case 4.

(7+3)\cdot (4+2)=10\cdot 8

(7+3)\cdot (4+2)=80

8 0
3 years ago
Find the sum of the geometric series 512+256+ . . .+4
mario62 [17]

\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}

\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}

so is the 8th term, then, let's find the Sum of the first 8 terms.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}

\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}}  \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}}  \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020

7 0
4 years ago
during track practice Pedro runs a lap in 3 minutes. David runs the same lap in 4 minutes. they both pass point S at the same ti
garri49 [273]
Im  not sure this is right but i think they will meet during 12 minutes
8 0
4 years ago
Write an equivalent expression for 4(3a+7)+3 (2a+5) if a=5, is the the solution to both expressions the same
Levart [38]
<span>Alternative</span>
4(3*5+7)+3(2*5+5)=
4(22)+3(15)=
(4*22)+(3*15)=
88+45=133

4 0
3 years ago
Read 2 more answers
Which object is the result of rotating the triangle about line m?
vagabundo [1.1K]
The answer is c! hope it helps, can i have brainliest?? im so close to leveling up
7 0
3 years ago
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