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3 years ago

14

Please answer this, I’m a bit confused...

1 answer:

tatuchka [14]3 years ago

3 0

Answer: The distance across a rectangular field is longer distance.

So, Perimeter of rectangle would be 120 yards.

Diagonal of square would be 56.56 yards.

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What is the solution of the system? Use elimination.

sweet [91]

Answer:

The solutions to the system of the equations by the elimination method will be:

$x=2,\:z=-1,\:y=2$

Step-by-step explanation:

Given the system of the equations

$2x\:+\:2y\:+z\:=\:7$

$-x-\:y\:+z\:=\:-5$

$x+3y-4z=12$

solving the system of the equations by the elimination method

$\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}$

$\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10$

$\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}$

$-2x-2y+2z=-10$

$+$

$\underline{2x+2y+z=7}$

$3z=-3$

$\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}$

$2x+6y-8z=24$

$-$

$\underline{2x+2y+z=7}$

$4y-9z=17$

$\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}$

Rearranging the equations

$\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}$

solve $3z=-3$ for z:

$z=-1$

$\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1$

solve $4y-9\left(-1\right)=17$ for y:

$4y-9\left(-1\right)=17$

$4y+9=17$

$4y=8$

$y=2$

$\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2$

solve $2x+2\cdot \:2-1=7$ for x:

$2x+2\cdot \:2-1=7$

$2x+3=7$

$2x=4$

$x=2$

Therefore, the solutions to the system of the equations by the elimination method will be:

$x=2,\:z=-1,\:y=2$

5 0

3 years ago

Cody was 165cm, {cm}165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school

strojnjashka [21]

Answer:

Cody was 148.5cm on the first day of school last year.

Step-by-step explanation:

10% = 0.1

165 x 0.1 = 16.5

165 - 16.5 = 148.5

8 0

3 years ago

Read 2 more answers

1 2.2.5 Quiz: Solving Problems by Dividing Fractions

HACTEHA [7]

2 hours at most shordy

7 0

3 years ago

Andre looks at a box of paper clips. He says: “I think the number of paper clips in the box is less than 1,000.” Lin also looks

d1i1m1o1n [39]

Answer:

<em>500 </em> $\leq$ <em> </em><em>p </em> $\leq$ <em> </em><em>1000</em>

Step-by-step explanation:

Since Andre if giving a rough estimate about how much paper clips are in the box, we will use the $\leq$ (less than or equal to)

Your X value will be your actual number, the equation shows us that p is anywhere between 500 - 1000

7 0

3 years ago

It costs $109 per night to rent a motel room in Georgia. There is a one-time $30 non-refundable deposit required. How much will

Ne4ueva [31]

Answer:

$793.00

Step-by-step explanation:

109x7=763

763+30=793

8 0

3 years ago

Read 2 more answers