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Ket [755]
3 years ago
12

What is a solution to a system of equations​

Mathematics
1 answer:
zmey [24]3 years ago
4 0

Answer:

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. ... The solution to the system will be in the point where the two lines intersect.

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A group of friends were working on a student film that had a budget of $900. They used 79% of their budget on equipment. How muc
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Answer:

711

Step-by-step explanation:

They used 79/100 of their money on equipment which means if they have a budget of 900 dollars they used...

900*79/100=9*79=711 dollars on equipment.

8 0
3 years ago
Explain how the graph of a quadratic function relates to
igomit [66]
The equation for a quadratic is as follows:
y = ax^2+bx+c

The first variable “a” determines whether the parabola opens up or down
The squared allows the equation to look like the parabola swoop when graphed.
The c term is the constant term
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3 years ago
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Use the method of Gauss-Jordan elimination (trails—forming (lie augmented matrix into reduced echelon form) to solveProblem in S
Nezavi [6.7K]

Answer:

Step-by-step explanation:

Answer is in below attachment

7 0
3 years ago
One equation in a system of linear equations is y=2x+1
Rufina [12.5K]

Step-by-step explanation:

<u>Given equation:</u>

  • y = 2x + 1

a. write a second equation so that (1,3) is the only solution of the system

To have only one solution the equation must have a different slope.

<u>Let it be 10, then the y-intercept of y = 10x + b is:</u>

  • 3 = 1*10 + b ⇒ b = -7

<u>And the equation:</u>

  • y = 10x - 7

b. Write a second equation so that the system has infinitely many solutions

<u>To have infinitely many solutions, both equations must be same:</u>

  • y = 2x + 1

c. Write a second equation so that the system has no solutions.

<u>To have no solutions, the equations must have same slope but different y-intercepts:</u>

  • y = 2x + 5
3 0
3 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0
3 years ago
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