Answer:
a = 4/27 - b/81
Step-by-step explanation:
27a + 1/3 * b = 4
Subtract the term with b from both sides.
27a = 4 - 1/3 *b
Divide both sides by 27.
a = 4/27 - 1/81 * b
a = 4/27 - b/81
Simplify the expression.
Exact Form :
- 53/12
Decimal Form :
- 4.416
Mixed Number Form :
- 4 5/12
Hope this helps !
Have a great day! :)
Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = 3(x + 2)2 − 4?
A) stretched vertically, shifted left 2 units, and shifted down 4 units
B) stretched vertically, shifted right 2 units, and shifted up 4 units
C) compressed vertically, shifted left 2 units, and shifted down 4 units
Eliminate
D) compressed vertically, shifted right 2 units, and shifted up 4 units
Let d is the number of days of rental car
At Trinity's Tire World, $50 a day plus $75 fee: 50*d + 75
At India's Auto, $35 a day plus $105 fee: 35*d + 105
To find out after how many days, they both cost the same
50*d + 75 = 35*d + 105
50d + 35d = 105 - 75
15d = 30
d = 30/15
d = 2
Answer: after 2 days, they both cost the same amount of money
Proof:
50*d + 75 = 50*2 + 75 = 100 + 75 = 175
35*d + 105 = 35*2 + 105 = 70 + 105 = 175
Hope that helps
90 points where at least two of the circles intersect.
<h3>Define circle.</h3>
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
Given,
Four distinct circles are drawn in a plane.
Start with two circles; they can only come together in two places. The third circle contacts each of the previous two circles in two spots each, bringing the total number of intersections up to four with the addition of a third circle. The total number of intersections will rise by another 6 when a fourth circle intersects the first three. And the list goes on.
As a result, we get a recognizable, regular pattern: for each additional circle, there are two more intersections overall than in the circle before it.
The total number of intersections can be expressed as the sum because the maximum number of intersections of 10 circles must occur when each circle contacts every other circle in 2 places each.
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90.
90 points where at least two of the circles intersect.
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