We have that
y = 3x²<span>+ 2x + 1
step 1</span>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
y -1= (3x²+ 2x)
step 2
Factor the leading coefficient
y -1= 3*(x²+ 2/3x)
step 3
Complete the square. Remember to balance the equation by adding the same constants to each side
y -1+(1/3)= 3*(x²+ (2/3)x+(4/36))
y-2/3=3*(x+2/6)²
the vertex is the point (-2/6, 2/3)------> (-0.33,0.67)
the answer is
(-0.33,0.67)
Answer: The surface area of the sides of the sandbox that Gabe wants to paint is 47ft2
Step-by-step explanation:
Hi to answer this we have to apply the formula:
Surface Area of a rectangular prism = 2lw + 2wh + 2lh
Where:
l= length
w= width
h= height
Since the sandbox is open , it has one less surface (length x width), we have to add only one lw term.
Surface Area of the sandbox = lw + 2wh + 2lh
A = (4x5) + 2( 5x1.5) + 2( 4x1.5)
A = 20+15+12
A= 47 ft2
Answer:
∠ ABC = 37°
Step-by-step explanation:
Angles on the circle subtended by the same arc are congruent.
∠ ABC and ∠ ADC are angles on the circle subtended by arc AC , then
∠ ABC = 37°
Do substitution
2(7-2y) = 5
14 - 4y = 5
-4y = -9, y = 9/4
2x + 9/4 = 5
8x + 9 = 20
8x = 11, x = 11/8
Final answer: x = 11/8, y = 9/4
