Answer:
A = x^2 + 4x -21
Step-by-step explanation:
L = x+7
W = x-3
A = L*W
A = (x+7)(x-3)
A = x^2 + 4x - 21
It would take 630 seconds to boil the water.
Find a ∩ b if a = {2, 5, 8, 11, 14} and b = {1, 3, 5, 7}. {1, 2, 3, 5, 7, 8, 11, 14} {5}
Maslowich
The intersection of given set a and b is a∩b = {5}.
According to the given question.
We have two sets a and b.
a = {2, 5, 8, 11, 14}
And, b = {1, 3, 5, 7}
As, we know that "the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B".
Since, only the element which is common to set a and set b is 5.
Thereofore, the intersection of given set a and b is given by
a∩b = {5}
Find out more information about intersection of sets here:
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Using a system of equations, it is found that one large jar holds 6 ounces and one small jar holds 4 ounces.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable l: Weight that a large jar holds.
- Variable s: Weight that a small jar holds.
One large jar and five small jars can hold 26 ounces of jam, hence:
l + 5s = 26, which is the first equation in matrix form.
Then:
l = 26 - 5s.
One large jar minus one small jar can hold 2 ounces of jam, hence:
l - s = 2, which is the second equation in matrix form:
Then:
l = 2 + s = 26 - 5s
2 + s = 26 - 5s
6s = 24
s = 4.
l = 26 - 5s = 6.
More can be learned about a system of equations at brainly.com/question/24342899
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We take the distance from points which indicates the location of the park and the mall.
For distance through north and east, we have positive values and negative for west and south.
Mall: (-3, -4)
Park: (3, 5)
The distance is calculate through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Substituting,
d = sqrt ((-4 - 5)² + (-3 - 3)²
d = sqrt 117 = 10.82
Thus, the distance between the mall and the park is approximately 10.82 miles.
