Answer:
This sequence is arithmetic, and the next term is 25
Step-by-step explanation:
The common difference of the sequence is 6, so the next term is 19+6=25.
The difference between the consecutive terms is constant => sequence is arithmetic.
<u>7-1=6</u>
<u>13-7=6</u>
<u>19-13=6</u>
9514 1404 393
Answer:
13.8654599313 and -0.8654599313
Step-by-step explanation:
If one of the numbers is x, then the other is 13-x, and their product is ...
x(13 -x) = -12
x^2 -13x = 12 . . . . multiply by -1 and simplify
x^2 -13x +6.5^2 = 12 +6.5^2 . . . . complete the square
(x -6.5)^2 = 54.25
x -6.5 = √54.25
x = 6.5 +√54.25 ≈ 13.8654599313
and the other number is ...
13 -x = 13 -13.8654599313 = -0.8654599313
The two numbers are 13.8654599313 and -0.8654599313.
Answer: The three methods most commonly used to solve systems of equation are substitution, elimination and augmented matrices.
Step-by-step explanation:
Substitution is a method of solving systems of equations by removing all but one of the variables in one of the equations and then solving that equation.
Elimination is another way to solve systems of equations by rewriting one of the equations in terms of only one variable. The elimination method achieves this by adding or subtracting equations from each other in order to cancel out one of the variables.
Augmented matrices can also be used to solve systems of equations. The augmented matrix consists of rows for each equation, columns for each variable, and an augmented column that contains the constant term on the other side of the equation.
Answers :
BC = 17.1
Angle B = 6.7°
Angle C = 83.3°
To find side BC, you use pythagorean’s theorem, which is a^2 + b^2 = c^2
This gives you 289 + 4 = 293, and you find the square root, which is 17.1.
To find the angle measures you can use tangent, which is opposite sides over adjacent sides. You plug these values into a calculator.
b = tan 2/17 = 6.7°
c = tan 17/2 = 83.3°
