Answer:
y intercept (0,490)
I would use (Graphing equation standard form) to identify x and y intercepts. I will Plot the y intercept (0,490) and the x intercept (735,0)
,It will Connect the two intercepts with a straight line
2x + 3y = 1,470
3y = -2x + 1470
y = (-2x + 1470 ) / 3
y = -2/3 * x + 1470/3
y = -2/3 * x + 490
slope is -2/3
y intercept is 490
x intercept (735,0)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.
That base is equal to the difference between the two bases.
Solution
The base of the triangle = 2x + 1 - (x + 3) Remove the brackets.
base = 2x + 1 - x - 3
base = x - 2
Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.
c^2 = a^2 + b^2
a = x - 2
b = x + 4
c = 2x
4x^2 = (x - 2)^2 + (x + 4)^2 Expand the brackets
4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16 Collect like terms
4x^2 = 2x^2 + 4x + 20 Subtract the right side from the left.
4x^2 - 2x^2 - 4x - 20 = 0
2x^2 - 4x - 20 = 0 Divide by 2
2x^2/2 - 4x/2 - 20/2 = 0
x^2 - 2x - 10 = 0
x = - b +/- sqrt(b^2 - 4*a*c)/ 2a
a = 1
b = - 2
c = - 10
x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2
x = (2 + / - sqrt(4 + 40 ))/2 Only the plus root has any meaning.
x = ( 2 + sqrt(44 ) )/2
x = ( 2 + 2*sqrt(11) ) / 2
x = 1 + sqrt(11)
sqrt(11) = 3.3166
x = 1 + 3.3166
x = 4.3166
Answer:
x = 3
Step-by-step explanation:
given a parabola in standard form : y = ax² + bx + c : a ≠ 0
Then the equation of the axis of symmetry is
x = - 
y = x² - 6x + 
is in standard form
with a = 1 and b = - 6, hence
x = - 
= 3
equation of axis of symmetry is x = 3
Answer:
Slope, m = 1/4 = 0.25
Step-by-step explanation:
Slope,m of a line on a graph is derived from the formula,
Slope, m = change in value of y ( on the vertical axis) divided by change in the value of x ( on the horizontal axis)
change in value of y = final value of y (y2) - initial value of y (y1)
change in value of x = final value of x (x2) - initial value of x (x1)
From the graph, we will pick corresponding points.
Final value of y, y2 = 6
Initial value of y, y2 = 5
Final value of x, x2 = 0
Initial value of x, x2 = -4
Slope = (y2-y1) / (x2-x1)
= (6 - 5)/0 - - 4 = 1 / 4
= 0.25
