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dalvyx [7]
3 years ago
13

State if the point (-3, -2) is a solution to the system of equations below.

Mathematics
1 answer:
Grace [21]3 years ago
4 0

Answer:

B) Since (-3,-2) does not satisfy both equations, it is not a solution to the

system.

Step-by-step explanation:

The given system of equations is:

{x}^{2}  +  {y}^{2}   + x - 10y - 3 = 0

x + y =  - 4

If (-3,-2) is a solution, then it must satisfy both equations:

Let us substitute into the first equation to get:

{( - 3)}^{2}  +  {( - 2)}^{2}   + ( - 3) - 10( - 2) - 3 = 0

Evaluate the exponents;

9 +  4   - 3  + 20- 3 = 0

27 = 0

This is not true

Also when we substitute into the scond equation, we get;

- 3 +  - 2 =  - 4 \\  - 5 =  - 4

This is also false.

Therefore the point is not a solution.

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bezimeni [28]

I DON'T KNOW THE ANSWER BUT THANKS FOR THE POINT$

Step-by-step explanation:

I DON'T KNOW THE ANSWER BUT THANKS FOR THE POINT$

8 0
2 years ago
A sleep time of 15.9 hours per day for a newborn baby is at the 10h percentile of the distribution of sleep times for all newbor
Step2247 [10]

The mean time in hours per day for newborn babies is 16.5 hours ⇒ D

Step-by-step explanation:

A sleep time of 15.9 hours per day for a newborn baby is at the 10th

percentile of the distribution of sleep times for all newborn babies

Assuming the distribution is normal with a standard deviation of

0.5 hour

To find the mean time let us do that

1. Use the normal distribution table to find the corresponding z-score

   for 10th percentile

2. Use the rule μ = x - zσ, where μ is the mean, σ is the standard

    deviation and x is the score

3. Substitute the values of x, σ and z in the rule to find μ

Look to the normal distribution table to find z-score that equivalent

to the area = 10/100 = 0.1 (10th percentile)

∵ z-score = -1.28

∵ σ = 0.5 hour

∵ x = 15.9

∵ μ = x - zσ

- Substitute the values in the rule

∴ μ = 15.9 - (-1.28)(0.5)

∴ μ = 15.9 + 0.64

∴ μ = 16.54 ≅ 16.5 hours

The mean time in hours per day for newborn babies is 16.5 hours

Learn more:

You can learn more about the normal distribution curve in brainly.com/question/8799684

#LearnwithBrainly

6 0
2 years ago
If the complex number x = 3 + bi and |x| 2 = 13, which is a possible value of b?
tatyana61 [14]

Answer:

A.2

Step-by-step explanation:

We know that |x|² = 13 and x = 3+bi:

(3+bi)² = 13

3² + b² = 13

9 + b² = 13

Subtract 9 from each side:

9 + b² - 9 = 13 - 9

b² = 4

Take the square root of each side:

√b² = √4

b = 2

5 0
3 years ago
Given the isosceles trapezoid below with an area of 33 units squared find the height of the trapezoid
son4ous [18]

Answer:

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Step-by-step explanation:

3 0
3 years ago
What degree measure is equivalent to 7π/11?
Nataliya [291]

Answer:

114.54°

Step-by-step explanation:

Convert radians into degrees.

3 0
2 years ago
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