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3 years ago

Solve the system x-2y+2z=9 y+2z=5 z=3 Enter the answer as an ordered triple, (X,Y,Z)

Mathematics

2 answers:

likoan [24]3 years ago

5 0

The answer is (1, -1, 3)

enot [183]3 years ago

4 0

The last equation says z = 3, so that in the second equation we get

y + 2z = y + 6 = 5 ==> y = -1

and in turn, the first equation tells us

x - 2y + 2z = x + 2 + 6 = x + 8 = 9 ==> x = 1

So the solution to the system is (x, y, z) = (1, -1, 3).

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3 years ago

Wewaii [24]

Answer:

For covering $1$ unit area of the entire playground, the amount of sand required is equal to volume of $3$ buckets of sand.

Step-by-step explanation:

Given -

$\frac{1}{3}$ volume of sand in bucket is able to cover $\frac{1}{9}$ area of the entire playground

Thus,

For covering $\frac{1}{9}$ unit area of the entire playground, the amount of sand required is equal to $\frac{1}{3}$ of the total volume of sand in bucket

For covering $1$ unit area of the entire playground, the amount of sand required is equal to

$\frac{\frac{1}{3} }{\frac{1}{9} } \\\\\frac{1}{3} * \frac{9}{1} \\\frac{9}{3}\\= 3$

For covering $1$ unit area of the entire playground, the amount of sand required is equal to volume of $3$ buckets of sand.

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3 years ago

I have trouble with book 1 the question isJason has a coupon for $2.50 of any electronica book from an online bookstore if the o

oksano4ka [1.4K]

D = P - 2.50

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3 years ago

The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds ca

Anni [7]

Considering the period of the cosine function, it is found that it takes 40 seconds for the wheel to complete one turn.

<h3>What is the period of the cosine function?</h3>

The cosine function is defined by:

f(x) = acos(bx + c) + d.

For the period, we have to look at coefficient b, and the period is:

P = 2π/|B|

For this problem, the function is given by:

h(x) = 15 cos(π/20)

Hence B = π/20, and the period is:

P = 2π/|B| = 2π/(π/20) = 2 x 20 = 40 seconds.

Hence it takes 40 seconds for the wheel to complete one turn.

More can be learned about the period of trigonometric functions at brainly.com/question/12502943

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2 years ago

A piece of wood is divided into three pieces in the ratio 6:8:4. The length of the longest pieces is 144cm. Calculate the length

MAXImum [283]

3.24m

the longest piece will be associated with 8 parts of the ratio.

divide 144 by 8 to find 1 part of the ration then multiply this value by 6 and 4 for the remaining parts of the ratio

$\frac{144}{8}$ = 18 cm ← 1 part

6 parts = 6 × 18 = 108 cm

4 parts = 4 × 18 = 72 cm

length = 144 + 108 + 72 = 324 cm = 3.24m

4 0

3 years ago

Read 2 more answers