Answer:
y = 
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition
x = 3 when y = 7
k = 
= 
, thus
y = x ← equation of variation
When x = 7, then
y = × 7 =
Answer:
1. Element
2.empty set
3.subset
4.infinite set
5.null set
6.finite set
7.not an element
Step-by-step explanation:
Answer:
Step-by-step explanation:
The exact value of sin(45) sin ( 45 ) is √22 2 2 . The exact value of cos(60) cos ( 60 ) is 12 1 2 . The exact value of cos(45) cos ( 45 ) is √22 2 2 . The exact value of sin(60) sin ( 60 ) is √32 3 2 .
An equation that can be used to determine the value of x is x² + 5x - 36 = 0.
To answer the question, we need to know what equations are
<h3>What is an equation?</h3>
An equation is an expression which shows the relationship between two variables.
Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.
Then,
- The width of the rectangular poster is W = x + 2 + 1 = x + 3.
- The length of the rectangular poster is L = x + 1 + 1 = x + 2
So, the area of the rectangular sheet poster is A = LW
= (x + 2)(x + 3)
Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².
So, (x + 2)(x + 3) = 42
x² + 3x + 2x + 6 = 42
x² + 5x + 6 - 42 = 0
x² + 5x - 36 = 0
So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.
Learn more about equations here:
brainly.com/question/1884491
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