Answer:
50 square units .
Step-by-step explanation:
Given :
Image of letter E with height of 12 and width of 10
inside space of height of 5 and width of 7
To find : Area
Solution :
First calculate the area of rectangle ABKL = length *width = 12*10 = 120 square units
Now subtract the area of rectangle CDFE and HGJI from the rectangle ABKL to get the area of given figure
Area of CDEF = Area of HGJI since the length and width of the rectangles is smae
Thus Area of CDEF = length *width =5*7 = 35 square units
Thus the Area of HGJI = 35 square units
Now subtract the area of both rectangles from the area of ABKL
⇒120-(35+35)= 50 square units .
Thus the area of given figure LETTER E = 50 square units .
Answer:
(x - 6) (x + 6)
Step-by-step explanation:
Given the quadratic equation
, we can rewrite it as the product of two binomials using the formula:
. Therefore, the two binomials as factor of
are (x - 6) (x + 6).
To verify whether this answer is correct, you can use the FOIL method:
(x - 6) (x + 6) =
+ 6x - 6x - 36 =
.
<span>We have to use PEMDAS for this expression.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
</span>(2x^2 - 5x + 4) Original Mathematical Expression
[2(7)^2 - 5(7) + 4] Plugging the value of x, 7 into expression.
There are parentheses, so that means we have to work in them.
There are exponents, so we have to do those first.
[2(49) - 5(7) +4] Exponents.
There is multiplication, that we can do, so we do that left to right.
[98 - 35 + 4] Multiplication.
There is no division.
There is addition and subtraction, so we do those left to right.
[63 + 4] Subtraction.
67 Addition.
Final Answer: 67