Connor earns money walking dogs. He made a graph showing the amounts, in dollars, he has earned for different lengths of time, i
n hours he walked the dogs. What is the amount Connor earns in 1 hour?
2 answers:
Answer:
$4.50
Step-by-step explanation:
With the help of the graph we can guess two coordinates are
(2,9)
(2.5,12)
With the help of this we can find the equation of line and thus we can find the value of y for x=1.
we have two points and now we use the two point form to evaluate the relation among them
Two point form is given as
(x_1, y_1)= (2,9.5)
(x_2, y_2)= (2.5,12)
Putting these values in formula
Now we put x = 1 and then solve it for y
Hence the amount earned in 1 hours of walk is $4.50
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You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²)
b = 9.16
With these values, we can find the hypotenuse in the triangle "B":
x = √b²+c²
x = √(9.16)²+(4)²
x = 10
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²)
b = 9.16
With these values, we can find the hypotenuse in the triangle "B":
x = √b²+c²
x = √(9.16)²+(4)²
x = 10