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3 years ago

Which could be the graph of f(x)=|x-h|+k if h and k are both positive

Mathematics

2 answers:

julia-pushkina [17]3 years ago

6 0

The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).

Answer: correct choice is A.

grin007 [14]3 years ago

6 0

The first option would be your answer. The graph should be positive due to the modulus.
The first option is good.

Hope it helped!

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PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW

vekshin1

9514 1404 393

Answer:

12 square inches

Step-by-step explanation:

The area is given by the formula ...

A = 1/2bh

Here, the base is 6 inches and the height is given as 4 inches. Then the area is ...

A = (1/2)(6 in)(4 in) = 12 in²

The area of the triangle is 12 square inches.

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Comment on the problem

Since you are given the base and height, we presume you are intended to use the formula above. You are also given all three side lengths. If you use the appropriate formula with those, you find the area is about 15.6 square inches. (The height of this triangle is actually closer to 5.2 inches.)

The figure represents a geometry that cannot exist. With the given base and height, the side lengths should be 5, not 6.

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2 years ago

Name the intersection of plane QMW and plane RMW

Norma-Jean [14]

The answer is "C", "MW".

In the given problem, the place QMW and plane RMW. These planes intersect at MW, in which intersection is either a point, line or curve that an entity or entities both possess or is in contact with but if we see in Euclidean geometry, the intersection of two planes is called a “line”. In the plane we can understand that the common line for both plane QMW and plane RMW is MW.

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3 years ago

Read 2 more answers

2+2=4-1=3 2+4+4+5+6+1+8=

Vinvika [58]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

What is the value of Cos n 2π=???

faust18 [17]

If n is an integer, then cos(n(2π))=1.

Take n=0, cos(2π)=cos(0)=1, n=1, cos(2π)=1, n=2, cos(2(2π))=cos(4π)=cos(0)=1...

If n is not an integer, well, ..... we don't know the value, which depends on the value of n.

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3 years ago

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base

timurjin [86]

Answer:

Step-by-step explanation:

Equation for a hyperboloid of one sheet, with center at the origen and axis along z-axis is:

(x/a)² + (y/b)² - (z/c)² = 1 (1)

We have to find a , b, and c

We can express equation (1)

(x/a)² + (y/b)² = (z/c)² + 1 (2)

Now if we cut the hyperboloid with planes parallel to xy plane we get for z = k ( K = 1 , 2 , 3 and so on ) circles of different radius

(x/a)² + (y/b)² = (k/c)² + 1

at z = k = 0 at the base of the hyperboloid d = 300 or r = 150 m

we have

(x/a)² + (y/b)² = 1

x² + y² = a² a² = (150)² a = b = 150

and x² + y² = (150)²

Now the other condition is at 200 m above the base d = 500 m r = 250 m minimum diameter then in equation (2) we have:

(x/a)² + (y/b)² = (z/c)² + 1

(1/a)² [ x² + y² ] = (z/c)² + 1

but x² + y² = r² and in this case r = 250 m then

(250)²/(150)² = (z/c)² + 1 ⇒ (62500/ 22500) = (200/c)² + 1

2,78 = 40000/c² + 1

2.78c² = 40000 + c²

1.78c² = 40000

c² = 40000/1.78

c² = 22471.91

c = 149,91

Then we finally have the equation:

x²/(150)² + y² /(150)² - z²/149,91 = 1

7 0

3 years ago