The vertex of the graph of the function g(x) = (x - 2)^2 + 3 is 2 units to the right and 3 units up of the vertex of the graph of the function f(x) = x^2.
39 inches = 3 feet 3 inches
42.5 inches = 3 feet 6 1/2 inches
61 3/4 inches - 5 feet 1 3/4 inches
Equation in slope-intercept form is y = 2x - 6
Step-by-step explanation:
- Step 1: Given slope of the line, m = 2. Form an equation y = mx + b
⇒ y = 2x + b ---- (1)
- Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.
⇒ 2 = 2 × 4 + b = 8 + b
⇒ b = -6
- Step 3: Form the slope-intercept equation.
⇒ y = 2x - 6
Answer:
17 in.
Step-by-step explanation:
There are two same angles shown, so two sides are equal. We can form an equation x+4=4x+1. Solution is x=1, then both unknown sides are 5 in. long. Given all side lengths we add them 7+5+5+15 getting the perimeter.
1. 3g+6/h =
3(5) + 6/7 =
15 +6/7=
21/7=
<span> 3
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<span>Simplify each expression
1. √25/81 =
5/81
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