Answer:
45units^2
Step-by-step explanation:
Break the polygon into two shapes. A rectangle and a triangle.
The area formula for a rectangle is A=L•W or
Area = Length x Width. Counting the units for length and width is 9 x 2. Which would equal 18units.
Now for the triangle, the formula is A=1/2 (b•h)
The base is 9 and Height is 6.
9 • 6 = 54
Since a triangle is half the area of a rectangle you divide 54 by 2. Area for triangle is 27.
Now add the rectangle area and triangle area.
18+27=45
Area=45 units ^2
Answer:
-3 5/12=k
Step-by-step explanation:
K+5/3= -7/4
subtract 5/3 from both sides
K= -7/4-5/3
lcm of 4 and 3 is 12
so
K= -21/12-20/12
K= -41/12
K= -3 5/12
Answer:
D. N-12=45
Step-by-step explanation:
HOPE IT HELPS YA
X^2 - 13 x = -36
add 36 to both sides
x^2 - 13x +36 = 0
figure out the factor
(x-4)(x-9) = 0
so (x-4) or (x-9) equals 0
so solution is
x-4=0 add 4 to both sides and get x = 4
x-9=0 add 9 to both sides and get x=9
x={ 4, 9}
Question (1):The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 9x = 4
Rearrange the given equation to look the standard one:
5x² + 9x - 4 = 0
Now, compare the coefficients in the given equation with the standard one, you will find that:
a = 5, b = 9 and c = -4
Question (2):The given expression is:
-5 + 2x²<span> = -6x
</span>Rearrange this expression to be in standard form:
2x² + 6x - 5 = 0
This means that:
a = 2
b = 6
c = -5
The roots of the equation can be found using the formula in the attached image.
Substituting in this formula with the given a, b and c, we would find that the correct choice is third one (I have attached the correct choice)
Question (3):Quadratic formula (the one used in the previous question, also shown in attached images) is the best method to get the solution of any quadratic equation. This is because, putting the equation in standard form, we can simply get the values of a, b and c, substitute in the formula and get the precise solutions of the equation.
Hope this helps :)