Answer:
10-2x
Step-by-step explanation:
If x is the length of one side of the square, the total width of the cardboard has two squares cut from it. The amount of width remaining is the width of the box. Since the original width of the cardboard is 10, the width of the box is ...
10 -2x
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:
Step-by-step explanation:
A vector perpendicular to the plane ax+by+cz+d=0 is of the form 
.
So, a vector perpendicular to the plane x − y + 2z = 7 is 
.
The parametric equations of a line through the point 
and parallel to the vector are as follows:
Put 
and 
Therefore,
xy-plane:
Put z = 0 ⇒ t = -2 ⇒x = - 1 , y = 6
So, at point (-1,6,0)
yz-plane:
Put x = 0 ⇒ t = -1 ⇒ y = 5, z =2
So, at point (0,5,2)
xz-plane:
Put y = 0 ⇒ t = 4 ⇒ x = 5, z = 12
So, at point (5,0,12)
The answer is 8percent is 64.8 dollars hope this helps you thank you so much have a great day
Answer:
Cost =$3
Amount = 8 gallons and 17 gallons
Step-by-step explanation:
Given
24 + 51
Required
Simplify to show the cost and amount of gas bought by each individual
24 + 51
[Factorize]
3(8 + 17)
The above can't be factored any further.
Since the cost of gas for both individuals is the same, we can conclude the following.
Cost = $3
This is so because it applies to both numbers in brackets
Amount of Gas = 8 gallons and 17 gallons respectively by both individuals
