Answer:
its the second one
Step-by-step explanation:
The area is 120/(1/4) or 120 x 4 or 480 square inches
the width is 6/(1/2) or 6 x 2 or 12 inches
to find the length, divide the area by the width
480/12= 40
40 inches
Hope this helps :)
Answer:
The length of the side of the triangle is 10 inches.
Step-by-step explanation:
Let p = perimeter of the equilateral triangle
Let P = perimeter of the square
Let s = length of side of the triangle
Let S = length of side of the square
"The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square"
p = P + 6 Equation 1
"the side of the triangle is 4 inches longer than the side of the square"
s = S + 4 Equation 2
We have 2 equations and 4 unknowns. We need two more equations. We use the definition of perimeter to get the other two equations.
For an equilateral triangle,
p = 3s Equation 3
For a square,
P = 4S Equation 4
Substitute p and P of Equation 1 with equations 3 and 4. Then write equation 2.
3s + 4S = 6
s = S + 4
Now we have a system of 2 equations in 2 unknowns. We can solve for s and S. We can use the substitution method. Solve the second equation for S.
S = 4 - s
Substitute S = 4 - s into equation 3s + 4S = 6.
3s + 4(4 - s) = 6
3s + 16 - 4s = 6
-s = -10
s = 10
Answer: The length of the side of the triangle is 10 inches.
Answer:
- 5/6 is the answer
Step-by-step explanation:
The parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
We have given a graph of a parabola.
From the graph:
The parabola opens down.
The sign of the second difference is positive.
The coordinates of the vertex is at (1, 3)
The equation of the axis of symmetry is x = 1
The optimal value of the parabola is at y = 3
The optimal value is considered a max value.
The x-intercepts is at (-1, 0) and (3, 0)
The y-intercept is at (0, 5/2)
Thus, the parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ1
