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2 years ago

Solve by elimination X - 6y + 2z = 5 2x-3y+z=4 3x + 4y - z = -2

Mathematics

1 answer:

Vesnalui [34]2 years ago

6 0

Answer:

x=1

y=-3

z=-7

Step-by-step explanation:

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Determine if line AB is tangent to the circle.

Charra [1.4K]

Answer:

7) No

8) Yes

Step-by-step explanation:

Tangent lines are perpendicular to the radius lines at the point of intersection. So we just need to check if these are right triangles.

7) c² = a² + b²

20² = 12² + 14²

400 = 340

8) c² = a² + b²

13² = 7.8² + 10.4²

169 = 169

Yes

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2 years ago

What is the area of the yellow section?

nignag [31]

Answer:

98 $m^{2}$ i hope this helps! :)

Step-by-step explanation:

given 7 * 14 = ?

multiply 14 by 7 14 * 7 = 98

98 $m^{2}$

8 0

2 years ago

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Which of the following is a solution to the equation c+(4-3c)-2=0

Eduardwww [97]

Answer:

c=1

Step-by-step explanation:

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2 years ago

Using Perimeter = (Length + Width) × 2, find the missing value for each of the following rectangles.

Makovka662 [10]

Perimeter of rectangle= 12cm

3 0

2 years ago

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Dubnium-262 has a half-life of 34 s. How long will it take for 500.0 grams to

dmitriy555 [2]

Answer:

the time taken for the radioactive element to decay to 1 g is 304.8 s.

Step-by-step explanation:

Given;

half-life of the given Dubnium = 34 s

initial mass of the given Dubnium, m₀ = 500 grams

final mass of the element, mf = 1 g

The time taken for the radioactive element to decay to its final mass is calculated as follows;

$1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} = (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500}) = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s$

Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.

4 0

2 years ago