Given : - Square ABCD with side 3. E and F as midpoints.
To find : - area of EBFD
Solution : - We have, area of square ABCD = 3 x 3 = 9 units.
Thus, (ar)EBFD = ar ABCD - ar DAE - arDCF
arDAE = 1/2 x base x height
=1/2 x 1.5 x 3 ( AE is 1/2 of AB = 1.5, DA is altitude)
= 2.25
arDFC = 1/2 x base x height
= 1/2 x 1.5 x 3 (FC is 1/2 of BC, DC is altitude)
= 2.25
Thus, (ar) EBFD = arABCD - arDAE - arDCF
= 9 - 2.25 - 2.25
= 4.5 units.
Thus, area of quad EBFD is 4.5 units.
Answer:
-18 s9
Step-by-step explanation:
Answer:
x=5
y=12
Step-by-step explanation:
the equation is
12x-5+125=180
12x+120=180
12x=60
x=5
According to the question
8y+29=125
8y=96
y=12
The expression shown below is a difference of two squares.
<h3>Is a given expression a perfect square trinomial or a difference of two squares?</h3>
In this problem we have an algebraic expression that has to be checked by algebraic procedures. The complete procedure is shown below:
(x² + 8 · x + 16) · (x² - 8 · x + 16) Given
(x + 4)² · (x - 4)² Perfect square trinomial
[(x + 4) · (x - 4)] · [(x + 4) · (x - 4)] Definition of power / Associative and commutative property
(x² - 16)² Difference of squares / Definition of power / Result
The expression shown below is a difference of two squares.
To learn more on differences of squares: brainly.com/question/11801811
#SPJ1
Answer:
1.) the answer is the fourth one, 1/5^7
2.) the answer is the fourth one, 1/5^6
3.) the answer is the fourth one, (2^6)^-5
4.) this is seems to be a duplicate of the first one
Step-by-step explanation:
1.) by 'adding' 4 exponent values on the top it simplifies the top to simply one and 5^7 on the bottom
2.) since this is an exponent of an exponent multiply them, getting 5^-6, then simplify negative exponents.
3.) exponents of exponents are multiplied
