The graphs below have the same shape.what is the equation of the blue graph?
2 answers:
Answer : The correct option is, (A)
Step-by-step explanation :
As we given that:
The point of vertex of f(x) is (0, 0)
The point of vertex of g(x) is (4, 0) [from the graph]
The rule of the translation is:
f(x) → g(x)
(x, y) → (x+4, y+0)
The equation of the function g(x) in the vertex form is:
where,
(h, k) is the vertex
(h, k) = (4, 0)
Now put the vale of h and k, we get:
Therefore, the equation of the blue graph is,
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Let's call the distance from the beach to the playground x.
Let's call the distance from the stand to the parking lot z.
Let's call the base of the biggest triangle in the picture (from the parking lot to the left) y.
Recall the pythagorean theorem: the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
There are three right triangles we can work with.
Triangle with sides 48, x and z. Here z is the hypotenuse so we get the equation
Triangle with sides 27, x and y. Here y is the hypotenuse so we get
Triangle with sides z, y and (48+27). Here (48+27) is the hypotenuse so we get
. That is, 
We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation:
and replace 
and 
using expressions that contain an expression in terms of x from the first two equations we came up with.
That gives us:
which we solve for x as follows:
Now that we know x we can substitute 36 for x into the equation
and solve for z as follows:
This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
Let's call the distance from the stand to the parking lot z.
Let's call the base of the biggest triangle in the picture (from the parking lot to the left) y.
Recall the pythagorean theorem: the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
There are three right triangles we can work with.
Triangle with sides 48, x and z. Here z is the hypotenuse so we get the equation
Triangle with sides 27, x and y. Here y is the hypotenuse so we get
Triangle with sides z, y and (48+27). Here (48+27) is the hypotenuse so we get
We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation:
That gives us:
Now that we know x we can substitute 36 for x into the equation
This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
<u>Answer:</u>
0.0005 oz
<u>Step-by-step explanation:</u>
Usually, the greatest number that is allowed for approximation, assuming that the number itself is obtained by approximation, is the greatest possible error of it.
It is normally half the place value of the last digit in a number.
Like here we have oz which is equal to
oz. The last digit is 5 which is at the thousandth place (0.001) so the greatest possible error for this would be its half.
= 0.0005 oz