Write in slope intercept form an equation of the line (1, 2); m = -2

Mathematics

1 answer:

mr Goodwill [35]3 years ago

6 0

Y = 2
X = 1
M = -2
B = ?
y=mx+b
2=-2(1)+b
2= -2 + b
+2 +2
4 = b
Therefore the equation is
y = -2x + 4

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A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of

Alchen [17]

We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.

The value of x is <span>5 feet. </span>

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3 years ago

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x+2) ?

coldgirl [10]

Answer:

The graph of g(x) is the graph of f(x) translated 2 units left.

Step-by-step explanation:

When a change is made inside the parenthesis to the input, the function shifts left and right. Addition shifts it left while subtraction shifts it to the right. Here it is translated two units to the left.

Example: f(x) = x $f(x+2) = x_{n+2}$