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3 years ago

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics

2 answers:

madam [21]3 years ago

7 0

Answer: The answer is (C) $y=(x-2)^2.$

Step-by-step explanation: We are given two graphs of functions F(x) and G(x) having same shape. The graph of F(x) passes through the origin and is defined by

$F(x)=x^2.$

We are to find the equation of the graph of G(x).

Since the graph of G(x) is shifted right 2 units from the graph of F(x), so x will be replaced by (x - 2).

Therefore, the equation of the function G(x) becomes

$G(x)=(x-2)^2.$ .

Thus, (C) is the correct option.

11111nata11111 [884]3 years ago

5 0

g(x) = (x-2)^2

when we shift left or right we replace the x with our new x including the shift

(x-2) will shift it right units

(x+2) will shift it left 2 units

Choice C

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“An architect is planning to incorporate several stone spheres of different sizes into the landscaping of a public park, and wor

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Answer:

Part 1) The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

Part 2) The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

Step-by-step explanation:

Step 1

Find the radius of each sphere

we know that

The circumference of a circle is equal to

$C=2\pi r$

Find the radius of the sphere with a 5.50-meter circumference

For $C=5.50\ m$

assume

$\pi =3.14$

substitute and solve for r

$5.50=2(3.14)r$

$r=5.50/[2(3.14)]=0.88\ m$

Find the radius of the sphere with a 7.85-meter circumference

For $C=7.85\ m$

assume

$\pi =3.14$

substitute and solve for r

$7.85=2(3.14)r$

$r=7.85/[2(3.14)]=1.25\ m$

step 2

Find the surface area of each sphere

The surface area of sphere is equal to

$SA=4\pi r^{2}$

Find the surface area of sphere with a 5.50-meter circumference

For $r=0.88\ m$

assume

$\pi =3.14$

substitute

$SA=4(3.14)(0.88)^{2}$

$SA=9.73\ m^{2}$

Find the surface area of sphere with a 7.85-meter circumference

For $r=1.25\ m$

assume

$\pi =3.14$

substitute

$SA=4(3.14)(1.25)^{2}$

$SA=19.63\ m^{2}$

step 3

Find the cost of finishing each sphere

we know that

To find out the cost , multiply the surface area by $92 per square meter

Find the cost of sphere with a 5.50-meter circumference

$9.73*(92)=\$895.16$

therefore

The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

Find the cost of sphere with a 7.85-meter circumference

$19.63*(92)=\$1,805.96$

therefore

The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

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Need help finding the value of x and y

kap26 [50]

Answer:

The values of x = 12 and y = 8.

Step-by-step explanation:

From the given figure ,

ΔMTW≅ΔBGK

That is, these two triangles are congruent.

If two triangles are congruent , all the corresponding angles and corresponding sides are equal.

Congruency is different from similarity . Similarity means two triangles which are the same with different dimensions.

Therefore , ∠MTW = ∠BGK

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