The Greasy Grab Bag claims that customers can make 20 different meal combinations from the menu items. If the Greasy Grab Bag ha
2 answers:
You might be interested in
Answer:
Mark needs 110 ft. fencing to surround all 4 gardens.
Step-by-step explanation:
Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula
P = 2(L) + 2(W)
Total Length of the garden =
=
Length = 18.5 feet
Total width of the garden =
=
Width = 9.0 feet
Perimeter of the garden = 18.5 + 9 = 27.5 feet
Mark wants to fence 4 garden
Therefore, 27.5 × 4 = 110 feet.
Mark needs 110 ft. fencing to surround all 4 gardens.
Answer:
The x coordinate is 2
Step-by-step explanation:
Given
Required
Determine the x coordinate of B
Since B is the bisector of AC, then B is the midpoint and will be calculated using;
Considering the x coordinates alone;
Where
and
Substitute values for x1 and x2
<em>Hence;</em>
<em>The x coordinate is 2</em>
Answer:
Step-by-step explanation:
Given
-- Midpoint
Required
Find B
This question will be solved using midpoint formula;
Where
Substitute these values in the midpoint formula;
By comparison; we have:
-- (1)
-- (2)
Solving (1)
Multiply both sides by 2
Subtract 4 from both sides
Solving (2)
Multiply both sides by 2
Subtract 8 from both sides
Hence:
Answer:
The second choice is the correct one
Explanation:
(2x+3)^2 + 8(2x+3) + 11 = 0
To use the u substitution, we will assume that:
2x + 3 = u
Substitute with this in the given expression, we will get:
u^2 + 8u + 11 = 0
The general form of the second degree equation is:
ax^2 + bx + c = 0
Comparing the expression we reached with the general one, we will find that:
a = 1
b = 8
c = 11
The roots can be found using the rule found in the attached picture.
This means that, for the given expression:
u = -4 ± √5
Now, we have:
u = 2x+3
This means that:
at u = -4 + √5
2x + 3 = -4 + √5
2x = -7 + √5
x = (-7 + √5) / 2
at u = -4 - √5
2x + 3 = -4 - √5
2x = -7 - √5
x = (-7 - √5) / 2
This means that, for the given expression:
x = (-7 ± √5 ) / 2
Hope this helps :)
The second choice is the correct one
Explanation:
(2x+3)^2 + 8(2x+3) + 11 = 0
To use the u substitution, we will assume that:
2x + 3 = u
Substitute with this in the given expression, we will get:
u^2 + 8u + 11 = 0
The general form of the second degree equation is:
ax^2 + bx + c = 0
Comparing the expression we reached with the general one, we will find that:
a = 1
b = 8
c = 11
The roots can be found using the rule found in the attached picture.
This means that, for the given expression:
u = -4 ± √5
Now, we have:
u = 2x+3
This means that:
at u = -4 + √5
2x + 3 = -4 + √5
2x = -7 + √5
x = (-7 + √5) / 2
at u = -4 - √5
2x + 3 = -4 - √5
2x = -7 - √5
x = (-7 - √5) / 2
This means that, for the given expression:
x = (-7 ± √5 ) / 2
Hope this helps :)