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AveGali [126]
3 years ago
10

NEEEED help with 2 and 4?!

Mathematics
1 answer:
muminat3 years ago
8 0

Answer:

ex 2

is d 66 and ex 4 don't know

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A block of copper weighs 2160g and has a volume of 240cm cubed. what is the density of the copper?
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Divide line segments
ser-zykov [4K]

tis noteworthy that the segment contains endpoints of A and C and the point B is in between A and C cutting the segment in a 1:2 ratio,

\bf \textit{internal division of a line segment using ratios} \\\\\\ A(-9,-7)\qquad C(x,y)\qquad \qquad \stackrel{\textit{ratio from A to C}}{1:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{1}{2}\implies \cfrac{A}{C}=\cfrac{1}{2}\implies 2A=1C\implies 2(-9,-7)=1(x,y)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill

\bf B=\left(\cfrac{(2\cdot -9)+(1\cdot x)}{1+2}\quad ,\quad \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}\right)~~=~~(-4,-6) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -9)+(1\cdot x)}{1+2}=-4\implies \cfrac{-18+x}{3}=-4 \\\\\\ -18+x=-12\implies \boxed{x=6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}=-6\implies \cfrac{-14+y}{3}=-6 \\\\\\ -14+y=-18\implies \boxed{y=-4}

6 0
3 years ago
Solve the system of equations by any method.<br><br><br><br> 5x+9y =16<br> x+2y =4
Alisiya [41]

Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

-5\times(x+2y=4) \rightarrow -5x - 10y = -20

Therefore, our system now becomes:

\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.

Now, we can add these two equations together and solve for y.

\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4

Now, we can substitute our value for y into one of the equations and solve for x.

x+2(4)=4\\\\x + 8 = 4\\\\x = -4

Therefore, our final solution is (-4, 4).

6 0
3 years ago
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