MATHEMATICS HIGH SCHOOL

How does changing the function from f(x) = 2 sin 4x to g(x) = 2 sin 4x + 3 affect the range of the function? The function shifts up 3 units, so the range changes from −2 to 2 in f(x) to 1 to 5 in g(x). The function shifts up 3 units, so the range changes from −1 to 1 in f(x) to 2 to 4 in g(x). The function shifts up 4 units, so the range changes from −2 to 2 in f(x) to 2 to 6 in g(x). The function shifts up 4 units, so the range changes from −1 to 1 in f(x) to 3 to 5 in g(x).

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Consider the parent function

f(x) = sin 4x has range as -1 to 1

When sin4x is multiplied by 2, we have range changes to -2 to 2

When the graph is shifted up by 3 units we get

range changes minimum from -2 to -2+3=1 and maximum as 2+3=5

So range is in the interval

[1,5]

Option

he function shifts up 3 units, so the range changes from −2 to 2 in f(x) to 1 to 5 in g(x)is right

Answer 2
Answer: The function shifts up 3 units, so the range changes from -2 to 2 in f(x) to 1 to 5 in g(x).

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If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the SAS postulate?

Answers

                         Δ DUM         Δ MAP

hypotenuse:      15                2y-3
short leg:             12                0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.

Answer: DM is congruent to PM

Step-by-step explanation: TOOK QUIZ!!!

Pleaseeeee Helpppppp me

Answers

I will think it will be ANSWER - TWO

Los puntos (-4,4) y (2,3) estan ubicados en la linea H .¿cuales el pendiente de la linea H?

Answers

pendiente = ( y2 - y1 ) / ( x2 - x1 )

(x,y)
(-4,4)
(2,3)

x1=-4
y1=4
x2=2
y2=3


pendiente = ( 3 - 4 ) / ( 2 - (-4) )

pendiente = ( -1 ) / ( 2+4 )

pendiente = -1/6

Which of the following Platonic solids is also a pyramid? A. tetrahedron B. Hexahedron C. octahedron D. Icosahedron E. dodecahedron F. None of These

Answers

Tetrahedron is a Platonic solids which is also a pyramid, i.e. Option (A).

What is pyramid?

Pyramid is a three dimensional shape. Pyramid is a polyhedron formed by connecting a polygonal base and a point. A triangular pyramid is also called a tetrahedron.

  • A tetrahedron is known as a triangular pyramid in geometry. The tetrahedron consists of 4 triangular faces, 6 straight edges, and 4 vertex corners. It is a platonic solid which has a three-dimensional shape with all faces as triangles.

So,

As mentioned in the above definition "A triangular pyramid is also called a tetrahedron."

Hence, we can say that Tetrahedron is a Platonic solids which is also a pyramid, i.e. Option (A).

To know more about pyramid click here

brainly.com/question/17615619

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tetrahedron - its the only one that has a base from which all edges meet at a single point.

Each side length of a triangle is 4 cm. What type of triangle is it?

Answers

it is Equilateral triangle 

Can someone pls help?

Answers

Answer:  x = 4

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Explanation:

Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.

(interior angle C) + (interior angle D) = exterior angle

(46) + (-1+8x) = 18x+5

8x+45 = 18x+5

8x-18x = 5-45

-10x = -40

x = -40/(-10)

x = 4
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