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lutik1710 [3]
3 years ago
11

9x-y=17 and 5x+4y=-27 solve by substitution

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
4 0
Нугцлцьцьцьцзцзц цшцгаривбвбы
Radda [10]3 years ago
3 0

Answer:

(1, -8)

Step-by-step explanation:

Solve by Substitution

9x − y = 17 and 5x + 4y = −27

Solve for y in the first equation.

y = −17 + 9x 5x + 4y = −27

Replace all occurrences of y with −17 + 9x in each equation.

Replace all occurrences of y in 5x + 4y = −27 with −17 + 9x. 5x + 4 (−17 + 9x) = −27

y = −17 + 9x

Simplify 5x + 4 (−17 + 9x).

41x − 68 = −27 y = −17 + 9x

Solve for x in the first equation.

Move all terms not containing x to the right side of the equation.

41x = 41

y = −17 + 9x

Divide each term by 41 and simplify.

x = 1

y = −17 + 9x

 

Replace all occurrences of x with 1 in each equation.

Replace all occurrences of x in y = −17 + 9x with 1. y = −17 + 9 (1)

x = 1

Simplify −17 + 9 (1).

y = −8

x = 1

The solution to the system is the complete set of ordered pairs that are valid solutions.

(1, −8)

The result can be shown in multiple forms.

Point Form:

(1, −8)

Equation Form:

x = 1, y = −8

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Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

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Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

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While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between
aleksandr82 [10.1K]

Answer:

The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

Step-by-step explanation:

Let the random variable <em>X</em> denote the water depths.

As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:

P(2.25

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Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

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3 years ago
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Answer:

x = 30

Step-by-step explanation:

Using the sine ratio in the right triangle

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