Answer:
Jersey cost $8 and pair of shorts $5
Step-by-step explanation:
There are several ways to solve this, but I will find the solution using the system of equations.
Let's mark price of jersey with x, and price of pair of shorts with y. That means:
12x + 12y = 156
4x + 6y = 62
Now, we can multiply the second equation with -2 to cancel out y:
12x + 12y = 156
-8x - 12y = -124
That only leaves us with:
12x - 8x = 156 - 124
4x = 32
x = $8
Now we plug the value for x into any equation to find y:
4x + 6y = 62
32 + 6y = 62
6y = 30
y = $5
Given pair of lines are x² + 4xy + y² = 0
⇒ (y/x) ² + 4 y/x + 1 = 0
⇒ y/x = -4±2√3/2 = -2±√3,
∴ The lines y = (-2 + √3) x and y = (-2 - √3) x and x - y = 4 forms an equilateral triangle
Clearly the pair of lines x² + 4xy +y² = 0 intersect at origin,
The perpendicular distance form origin to x - y = 4 is the height of the
h = 2 √ 2
∵ Area of triangle = h²/√3 = 8/√3
Answer:
y = -2
Step-by-step explanation:
Put x as -19 and solve for y.
2(-19) - 5y = -28
Multiply.
-38 - 5y = -28
Add 38 on both sides of the equation.
-5y = -28 + 38
-5y = 10
Divide both sides by -5.
y = 10/-5
y = -2
The additive inverse of the expression -3/w is 3/w
<h3>How to determine the
additive inverse?</h3>
The expression is given as:
-3/w
The law of additive inverse states that
For an expression x, the additive inverse is -x
This means that the additive inverse of the expression -3/w is 3/w
Hence, the additive inverse of the expression -3/w is 3/w
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If w≠0, what is the additive inverse of the expression below? -3/w
Answer:
-2
Step-by-step explanation:
9g-4-5=-27
9g-9=-27
Add 9 to both sides
9g=-18
g=-2
