Answer: (3x−2)(4x−1)
Step-by-step explanation:
<em>Start factoring with -11x.</em>
12x^(2)-11x+2
12x2+(−8−3)x+2
12x2+(−8x−3x)+2
12x2−8x−3x+2
<em>Factor the highest common denominator of each group.</em>
<em>Group the first two terms and the last two.</em>
(12x2−8x)+(−3x+2)
<em>Factor the highest common denominator (MCD) of each group.</em>
<em>4x(3x−2)−(3x−2)</em>
<em>Factoring the highest common denominator 3x−2.</em>
(3x−2)(4x−1)
The correct answer is c :)
the point is described by two variables: x and y. it is written like that: (x, y). so the first variable in brackets is the x variable. the other is y. so pick every point a-d, put these values into the equation, solve it and check if the values before and after = are the same. if so - you are correct!
look:
c) (1, 5) so x=1, y=5
equation: y=5^x
putting values: 5=5^1 and this is true!
Answer: a) 
+ 
= 1
b) The distance of two foci is 85.4 feet
c) Area = 3502.67 square feet
Step-by-step explanation: a) An ellipse has the equation in the form of:
+
= 1, where a is the horizontal axis and b is the vertical axis.
For the Statuary Hall, a = 
= 48.5 and b = 
= 23, so the equation will be
+ = 1.
b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:
= 
c = 
c = 42.7
The distance is 2c, so 2·42.7 = 85.4 feet.
The two foci are 85.4 feet apart.
c)The area of an ellipse is given by:
A = a.b.π
A = 48.5 · 23 · 3.14
A = 3502.67 ft²
The area of the floor room is 3502.67ft².
Answer:
Student has made an error
Step-by-step explanation:
If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.
But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.
<em>Hence explained !</em>
Two hundred and ninety subtract three X equals 75
