How to graph 6x + 3y = 12
explanation:
Step 1: Find x intercept: substitute 0 for y: solve for x
• 6x + 3(0) = 12
• 6x = 12
• x = 2
Step 2: Then Find y intercept: also substitute 0 for x; solve for y
• 6(0) + 3y = 12
• 3y = 12
• y = 4
So plot x and y intercepts: ( 2,0 ) and ( 0,4 ) then draw a line through the points.
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How to graph 3x + y = 5
explanation:
Step 1: Find x intercept: substitute 0 for y: solve for x
• 3x + 5(0) = 15
• 3x = 15
• x = 5
Step 2: Then Find y intercept: also substitute 0 for x; solve for y
• 3(0) + 5y = 15
• 5y = 15
• y = 3
plot x and y intercepts: (5,0 ) and ( 0,3) then draw a line through the points.
Hope this help:))
Answer
<span>B. adding the square root of a non perfect square to a whole number
P.S
</span><span>Non-perfect square roots as rational numbers</span><span>
</span>
Answer:
16
Step-by-step explanation:
Our system of equations is:
y = -3x + 9
y = -x - 5
To solve this system of equations, we are going to use substitution. This means that we are going to substitute the second equation into the first equation since both are already solved for y in terms of x.
y = -3x + 9
-x - 5 = -3x + 9
Now, we must simplify by moving all of the constant terms to one side of the equation and all of the variable terms to the other side.
-x - 5 = -3x + 9
2x - 5 = 9
2x = 14
Finally, to undo the multiplication between the coefficient 2 and the variable x, we must divide both sides by 2 to get the variable x alone.
x = 7
Next, we must substitute in this value we have solved for x into one of the original equations to solve for the other variable, y.
y = -3x + 9
y = -3(7) + 9
To simplify, we must multiply through the parentheses and combine like terms by addition.
y = -21 + 9
y = -12
Therefore, your final answer is x = 7 and y = -12, or as an ordered pair (7, -12).
Hope this helps!
Let c be the hypotenuse in miles.
72 + 92 = c2
49 + 81 = c2
130 = c2
130‾‾‾‾√ = 2‾‾√
130‾‾‾‾√ = c
11.4 ≈ c
The path along Riverside Drive is shorter, about 11.4miles, compared to the path along Cypress and Control Avenues, 16 miles. The difference is about 4.6 miles. The Pythagorean theorem allowed me to calculate the distance along Riverside Drive because the three roads from a right triangle.
