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SashulF [63]
3 years ago
11

Two lines, C and D, are represented by the following equations:

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0
The solution of two lines is when they have the same x and y values, graphically the same point in the coordinate system.  If they are equal y=y so we can say:

x+5=-2x-1

3x+5=-1

3x=-6

x=-3, making y=x+5 become: y=-3+5=2 so the solution is the point;

(-3, 2)
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4. Kristina is allowed to have a friend sleep over every 3rd weekend,
PSYCHO15rus [73]

Answer:

6

Step-by-step explanation:

You must find the least common multiple of their schedules.

The numbers 3 and 2 are their own prime factors, so the least common multiple of 3 and 2 is 6.

Six weekends must pass until they can both have someone over on the same night.

The number line below shows that the first time their sleepovers coincide is Week 6.

3 0
3 years ago
What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?
Serggg [28]
\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=-2\\
n=6\\
S_6=-105
\end{cases}

\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1
7 0
3 years ago
jason and his family travels 160 miles in 3.2 hours. if they continue at this constant speed, how long will it take them to trav
Misha Larkins [42]
Set up a proportion 
160 mi/ 3.2 hrs ≈ 300 mi/x hrs
cross multiply and solve for x and you get x≈6
It will take them 6 hours

3 0
4 years ago
(Giving Brainliest♡)
frutty [35]

Answer:

15

Step-by-step explanation:

Hi there! :)

If you created 5 circles cut into thirds, you would create 15 1/3 pieces.

You can also use the KCF method to solve this!

7 0
3 years ago
Describe the graph of a quadratic function
maw [93]
So, given a quadratic function, y = ax2<span> + bx + c, when "a" is positive, the </span>parabola<span> opens upward and the vertex is the </span>minimum<span> value. On the other hand, if "a" is negative, the graph opens </span>downward<span> and the vertex is the </span>maximum<span> value. To put it in complicated terms. Or when A is positive the graph is shaped like a U but if A is negative the graph is an upside down U


</span>
7 0
3 years ago
Read 2 more answers
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