In 1963, the United States Postal Service started using ZIP (Zone Improvement Plan) codes. Each ZIP code is a sequence of five d
1 answer:
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Answer:
The euation of the linear function is:
- y = -1
Step-by-step explanation:
As the function has the values
- at x = 5, f(5) = -1
- at x = 0, f(0) = -1
Thus, the two points are:
- (5, -1)
- (0, -1)
Finding the slope between (5, -1) and (0, -1)
We know that the slope-intercept form of the line equation is
y=mx+b
where m is the slope and b is the y-intercept
We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.
so at x = 0, y = -1
Thus, the y-intercept 'b' = -1
Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation
y = mx+b
y = 0x + -1
y = -1
Therefore, the euation of the linear function is:
- y = -1
Answer:
The correct option is;
∠A ≅ ∠X
Step-by-step explanation:
The given coordinates of the points of triangle ACB are;
A(-4, 4), C(-1, 3), B(-4, 0)
The given coordinates of the points of triangle XYZ are;
X(0, 8), Y(8, 8), Z(6, 2), therefore, we have
The length. l. of segment is given by the following formula;
For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)
For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4
For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2
For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8
For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2
For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10
Therefore;
XY ~ AB, XZ ~ BC, ZY ~ AC
Which gives;
∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z
