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bixtya [17]
3 years ago
6

ASAP! I will give branilest!

Mathematics
1 answer:
Vilka [71]3 years ago
8 0

Answer:

1 = No     2 = Yes      3 = 1.88

Step-by-step explanation:

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What is the determinant of the coefficient matrix of the system 0x+0y-0z=3 0x+0y+0z=-1 0x+0y+0z=18
makvit [3.9K]

Answer:

Zero.

Step-by-step explanation:

The determinant of the coefficient matrix of the system is zero, since every coefficient is equal to zero.

3 0
3 years ago
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)? y squared over 40 minus x square
N76 [4]

The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is \frac{x^2}{10} + \frac{y^2}{15} = 1

<h3>How to determine the equation of the hyperbola?</h3>

The given parameters are:

  • Directrices at x = ±2
  • Foci at (5, 0) and (−5, 0)

The foci of a hyperbola are represented as:

Foci = (k ± c, h)

The center is:

Center = (h,k)

And the directrix is:

Directrix, x = h ± a²/c

By comparison, we have:

k ± c = ±5

h = 0

h ± a²/c = ±2

Substitute h = 0 in h ± a²/c = ±2

0 ± a²/c = ±2

This gives

a²/c = 2

Multiply both sides by c

a² = 2c

k ± c = ±5 means that:

k ± c = 0 ± 5

By comparison, we have:

k = 0 and c = 5

Substitute c = 5 in a² = 2c

a² = 2 * 5

a² = 10

Next, we calculate b using:

b² = c² - a²

This gives

b² = 5² - 10

Evaluate

b² = 15

The hyperbola is represented as:

\frac{(x - k)^2}{a^2} + \frac{(y - h)^2}{b^2} = 1

So, we have:

\frac{(x - 0)^2}{10} + \frac{(y - 0)^2}{15} = 1

Evaluate

\frac{x^2}{10} + \frac{y^2}{15} = 1

Hence, the equation of the hyperbola is \frac{x^2}{10} + \frac{y^2}{15} = 1

Read more about hyperbola at:

brainly.com/question/3405939

#SPJ1

6 0
2 years ago
John and Jeremy are the local names for two lighthouses that guard a particularly dangerous part of the coast. John blinks every
Likurg_2 [28]
John blinks every 6 seconds, Jeremy every 4 seconds, so they both will blink next on a common factor of 6 and 4, or an LCD, that'd be 12 seconds later, so at 00:00:12.
8 0
3 years ago
B) Evaluate the algebraic expression 2x2 + 5x +6 if x is equal to (-1).​
Korvikt [17]

Step-by-step explanation:

if x is equal to - 1

Then

2x² + 5x + 6

= 2* ( -1)² + 5 * (- 1) + 6

= 2 - 5 + 6

= 8 - 5

= 3

Hope it will help :)❤

5 0
2 years ago
Read 2 more answers
Which linear inequality represents the graph below ​
Contact [7]

Answer:

your worse nightmare MATH

Step-by-step explanation:

4 0
3 years ago
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