2x2−5x=3 Separate the two values with a comma.
Answers
D = 25 +24 = 49
x_1,2 = (5+/- sqrt49)/4 = (5+/-7)/4 = -2/4 = -1/2 and 12/4 = 3
x_1,2 = -1/2 and 3
hope this will help you
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2x=16
This gives you x=8
3x+2y=14
2x-4y=4
6x+4y=28
2x-4y=4
8x = 32
x = 4
2y = 14 - 12 = 2
y = 1
(x , y) = (4 , 1)
Question:How can check your solution by writing the system as a matrix equation and using the inverse matrix?.
Answers
2 −4] = (14
4) The left side can be called your "A" matrix. I gave you the idea so that you may continue with it. Hope this can help
Final answer:
To check the solution, represent the system of equations as a matrix equation, find the inverse of the coefficient matrix, and multiply both sides of the equation by the inverse.
Explanation:
To check the solution by writing the system as a matrix equation and using the inverse matrix, we need to represent the system of equations as a matrix equation. Let's consider the given system of equations:
3x + 2y = 14
2x - 4y = 4
To do this, we can write the coefficients and constants of the system of equations as matrices:
[3 2] [x] = [14]
[2 -4] [y] = [4]
Now, we can write the system of equations as a matrix equation: AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.
Next, we need to find the inverse of matrix A. If the inverse exists, we can multiply both sides of the matrix equation by the inverse of A to find the solution for X.
If we find the inverse of A and multiply both sides of the equation by the inverse, we get:
X = A-1B
Substituting the values of A-1 and B, we can find X, which represents the solution to the system of equations. Therefore, we can check our solution by writing the system as a matrix equation and using the inverse matrix.
Learn more about Systems of Equations here:
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Answers
Answer:
The given measurement will produce only 1 triangle
Step-by-step explanation:
Given:
a = 13
c = 15
∠A = 53°
now, applying the law of sine, we have
(a/sinA) = (c/sinC)
on substituting the values, we get
(13/sin53°) = (15/sinC)
or
sinC = 0.921
or
C = 67.14°
also, sum of all the angles of a triangle = 180°
thus,
∠A + ∠B + ∠C = 180°
53° + 67.14° + ∠B = 180°
or
∠B = 59.85°
now,
again applying the law of sine, we have
(a/sinA) = (b/sinB)
on substituting the values, we have
(13/sin53) = (b/sin59.85°)
or
b = 14.07
now, we have all the dimension of the triangle and have obtained the unique values,
Therefore, the given measurement will produce only 1 triangle
vabbshs jsjsjsjs
Answers
Answer:
dont get it
Step-by-step explanation:
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Answer:
a^2b^2 + 6ab + 9