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Tcecarenko [31]
3 years ago
10

X^2+y^2=169, 3x+2y=39 please answer using substitution and each step

Mathematics
1 answer:
Oksanka [162]3 years ago
7 0

Answer:

x=13,y=0

Step-by-step explanation:

We are given a system of equations

{x}^{2}  +  {y}^{2}  = 169 -  - eqn \: 1 \\ 3x + 2y = 39 -  - eqn \: 2

For equation 1,square all terms to reduce it

√x²+√y²=169

x+y=13

Make x the subject as required by the question to use substitution method

x=13-y

Plug x=13-y into eqn 2

3(13-y)+2y=39

39-3y+2y=39

39-y=39

y=39-39=0

Plug y=0 into equation 1

x+0=13

x=0

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Answer:

<u>If the width is 23 meters, the perimeter of the rectangle is 100 meters, or if the width of the rectangle is 0.23 meters, the perimeter is 54.46 meters.</u>

Step-by-step explanation:

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

Length of the rectangle = 27 meters

Width of the rectangle = 23 meters or 0.23 meters (it's not clear)

2. We will calculate the perimeter for any of the two possible values of the width of the rectangle, this way:

Perimeter of the rectangle = 2 * Length + 2 * Width

Replacing with the values we know:

Perimeter of the rectangle = 2 * 27 + 2 * 23

Perimeter of the rectangle = 54 + 46 = 100 meters

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Use slopes and y-intercepts to determine if the lines y=5x+5 and 5x−y=−5 are parallel.
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Answer: They are not parallel, they are coincident

Step-by-step explanation:

If two lines have the same slope but a different y-intercept, the lines are parallel. If two lines have the same slope and the same y-intercept, the lines are coincident.

We can rewrite 5x−y=−5 adding -5x to both sides and multiplying by -1:

5x - y =-5

5x - y -5x = -5 - 5x (adding -5x to both sides)

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Multiplying by -1

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Both equations look the same so they are coincident. They have the same intercept y=5 and the same slope m=5.

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Answer:

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Step-by-step explanation:

We have,

P(ripe avocados) = 0.45 , n = 5

by binomial distribution,

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P(x=2) = ${\overset{5}C}_2(0.45)^2(0.55)^3$

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So, P(2 ≤ x ≤ 3 ) = 0.3369 + 0.2756

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