Answer:
Ay=3 over 2 or y=-2 over 3
Step-by-step explanation:
the quadratic formula: y={-b±√(b²-4ac)}/2a
In the equation 6y²-5y-6= 0, a=6, b=-5, c= -6
Substituting for the values in the formula we get:
{-(-5)±√[(-5²)-4(6)(-6)}/2(6)
{5±√169}12
={5±13}/12
(5+13)/12=3/2 or (5-13)/12= -2/3
We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.
√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30
Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches
Answer = 120 inches
Answer:
B
Step-by-step explanation:
Because the numbers are less than 45 and more than 40
The y intercept is where the line hits the verticals line of the graph. Hope this helps!
Answer:
See below ~
Step-by-step explanation:
⇒ 65 = 65 + y (alternate exterior angles)
⇒ y = 0
⇒ 4(12x + 1) + 15 = 180 - 65 - y (Linear angles)
⇒ 48x + 4 = 100 - 0
⇒ 48x = 96
⇒ x = 2
⇒ 3(7z + 6) + 5(5z + 1) = 115 (Both the angles are equal "alt. ext. angles")
⇒ 21z + 18 + 25z + 5 = 115
⇒ 46z + 23 = 115
⇒ 46z = 92
⇒ z = 2
