Step-by-step explanation:
We have:
x - y = 43 , xy = 15
To find, the value of x^2+y^2x
2
+y
2
= ?
∴ x - y = 43
Squaring both sides, we get
(x - y)^2(x−y)
2
= 43^243
2
⇒ x^2+y^2x
2
+y
2
- 2xy = 1849
Using the algebraic identity,
(a - b)^2(a−b)
2
= a^2+b^2a
2
+b
2
- 2ab
⇒ x^2+y^2x
2
+y
2
= 1849 + 2xy
Put xy = 15, we get
x^2+y^2x
2
+y
2
= 1849 + 2(15)
⇒ x^2+y^2x
2
+y
2
= 1849 + 30
⇒ x^2+y^2x
2
+y
2
= 1879
∴ x^2+y^2x
2
+y
2
= 1879
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Answer: 12 nickels
Step-by-step explanation:
Option B is correct. <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>
The formula for calculating the perimeter of the rectangular fence is expressed as:
A = 2(L + W) where:
L is the length
W is the width
If Jamie can afford at most 70feet to build a rectangular fence is expressed as:
2L + 2W ≤ 70
<em>We are to check if the garden measure 9 feet by 22 feet. To do this we are to substitute L = 9 and W = 22 into the formula to check if the result will be less than 70</em>
On substituting:
= 2(9) + 2(22)
= 18 + 44
= 62 feet
Since 63 feet is less than 70 feet, hence we can conclude that <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>
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<em>Learn more here: brainly.com/question/17229451</em>
The answer to this expression is 8a+32
Answer:
is perpendicular to 
and parallel to 
Step-by-step explanation:
First, convert the equation to standard form so that y is isolated.
x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> 
A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).
is perpendicular to 
which simplifies to 5.
A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.
is parallel to just like 
.
