In order for an equation to be in standard form, the equation has to be in Ax+By=c form, where A is equal to the coefficient of x and B is equal to the coefficient of y, whereas c is just the constant, or the number in the equation that isn't being multiplied to a variable. In this case, you should first distribute 2y into (x-1), and then you should perform inverse operations on terms on both sides of the equation such that one side of the equation will only have terms with x and y in them and the other side of the equation will only be a numerical value. When the equation is like this, then the equation is in standard form.
Answer:
The answer is 2
Step-by-step explanation:
4 + (-2) = 2
Answer:
Step-by-step explanation:
(-3,-2)
Answer:
Step-by-step explanation:
Let w represent the width of the rectangle.
The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. It means that the length is (2w - 7) inches
Part A
The function that gives the area as a function of the width is
A(w) = w(2w - 7)
Part B:
If the area of the rectangle is 60 square inches, it means that
w(2w - 7) = 60
2w² - 7w = 60
2w² - 7w - 60 = 0
2w² + 8w - 15w - 60 = 0
2w(w + 4) - 15(w + 4) = 0
2w - 15 = 0 or w + 4 = 0
w = 15/2 or w = - 4
Since w cannot be negative, then
w = 15/2 = 7.5 inches
The length of arc HK is 30.8 units
<h3>What is the length of arc?</h3>
The length of the arc is defined as the distance between two points on the arc on the circumference.
Length of arc = θ/360 x 2πr
where, r is the radius of arc and θ is the angle formed by the arc at the center.
Given, circle J with ∠HJK = 126° and HJ = 14 units'
Plug, the values, we get
length of arc = 126°/360° x 2π x 14 units
length of arc = 30.8 units
Thus, the length of arc HK is 30.8 units.
Learn more about length of arc.
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