Solve the system of equations by substitution. What is the solution for x? 2x + y = 1 4x + 2y = −1
2 answers:
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Answer:
y = 2x - 6
Step-by-step explanation:
<h2>Slope intercept form:</h2>Equation of the line:
Here m is the slope and b is the y-intercept.
Step 1: Find the slope
(3 , 0) ⇒ x₁ = 3 & y₁ = 0
(4 , 2) ⇒ x₂ = 4 & y₂ = 2
Step2: Now, substitute the value of 'm' in the equation.
y = 2x + b
Step3: In the above equation plug in any point. Here, (3 ,0) is chosed.
0 = 2*3 + b
0 = 6 + b
-6 = b
<h3> b = -6</h3>Step4: Equation of the line:
<h3> y = 2x - 6</h3>
The volume of candle holder is 30 inches cubed.
Step-by-step explanation:
Given,
Area of base = A = 15 square inches
Height of candle holder = H = 6 inches
As the holder is in shape of triangular pyramid, therefore,
Volume of candle holder =
Volume of candle holder =
Volume of candle holder =
The volume of candle holder is 30 inches cubed.