Standard form of any decimal is the given decimal, 0.0054 = to 0.00000054 x 10^3 to my knownledge
By substitution, the solution of the system of equations, 3x - y = 5 and y = 4x + 2, is (-7 , -26).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Given two linear equations in x and y,
3x - y = 5 (equation 1)
y = 4x + 2 (equation 2)
Use substitution method since the second equation is already expressed in y in terms of x. Substitute the value of y to the first equation.
3x - y = 5 (equation 1)
3x - (4x + 2) = 5
3x - 4x - 2 = 5
Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solve for x.
3x - 4x - 2 = 5
3x - 4x = 5 + 2
-x = 7
x = -7
Substitute the value of x in the second equation and solve for y.
y = 4x + 2 (equation 2)
y = 4(-7) + 2
y = -28 + 2
y = -26
Hence, the solution of the given system of equations is (-7 , -26).
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Answer:
The equation that represented by the line is y = -x + 2
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The rule of the slope is m = 
, where
- (x1, y1) and (x2, y2) are two points on the line
<em>From the given figure </em>
∵ The line passes through points (2, 0) and (0, 2)
∴ x1 = 2 and y1 = 0
∴ x2 = 0 and y2 = 2
→ Substitute them in the rule of the slope to find it
∵ m = 
∴ m = -1
→ Substitute it in the form of the equation above
∵ y = -1(x) + b
∴ y = -x + b
∵ b is value y at x = 0
∵ At x = 0, y = 2
∴ b = 2
→ Substitute it in the equation above
∴ y = -x + 2
∴ The equation that represented by the line is y = -x + 2
Answer: hello your question is incomplete below is the complete question
The Two vectors; A = 5i + 6j +7k and B = 3i -8j +2k.
answer;
angle = 102°
Step-by-step explanation:
multiplying the vectors
A.B = |A| * |B|* cosθ
hence : Cosθ = (Ai*Bi )+ (Aj*Bj) + ( Ak*Bk/ (√A^2 *√B^2 )
= 15 - 48 + 14 /(√25+26+29) * (√9+64+4)
= -0.206448454
θ = cos^-1 ( -0.206448454) = 101.9° ≈ 102°
Answer:
5 nickels
Step-by-step explanation:
7 dimes = 0.70 and 1 nickel is 0.05, so each set makes 0.75
3.75 / .75 = 5 sets
