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Thepotemich [5.8K]
3 years ago
14

Linda buys 2 sweaters

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

now she has 2 sweaters to wear

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What is the slope of a line that contains the two points (4, 5) and (9, 7)? *
Sergio039 [100]

Answer:

\frac{2}{5}

Step-by-step explanation:

Line contains the points (4, 5) and (9, 7).

\therefore \: slope =  \frac{7 - 5}{9 - 4}  =  \frac{2}{5}  \\

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Line segment DB and line segment AE are medians. If BC=6y+10, AB=22+3y, CE=6x+12, ED=2x+60, then find the value of x and y, and
garri49 [273]

Answer:

x=45.5,\ y=\dfrac{280}{3}.

Step-by-step explanation:

Line segment DB and line segment AE are medians, then

  • AD=DC=\dfrac{1}{2}AC;
  • BE=CE=\dfrac{1}{2}BC..

This gives you that 6x+12=\dfrac{6y+10}{2}.

By the triangle midline theorem,

DE=\dfrac{1}{2}BC,

then

2x+60=\dfrac{22+3y}{2}.

Solve the system of two equations:

\left\{\begin{array}{l}6x+12=\dfrac{6y+10}{2}\\ \\2x+60=\dfrac{22+3y}{2}\end{array}\right.\Rightarrow \left\{\begin{array}{l}12x+24=6y+10\\ \\4x+120=22+3y\end{array}\right.\Rightarrow \left\{\begin{array}{l}6x-3y+7=0\\ \\4x-3y+98=0\end{array}\right.

Subtract the second equation from the first one:

6x-3y+7-(4x-3y+98)=0,\\ \\2x=98-7,\\ \\2x=91,\\ \\x=45.5.

Then

4\cdot 45.5-3y+98=0,\\ \\3y=280,\\ \\y=\dfrac{280}{3}.

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