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2 years ago

How was the graph of f(x) = 3x shifted to form the

Mathematics

1 answer:

kati45 [8]2 years ago

3 0

It was shifted two units up the y axis. This is shown algebraically by adding constant… or in this case f(x)= (x)^1/3 +2

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Someone help i'll give brainliest to right answer!

Bogdan [553]

Answer:

145

Step-by-step explanation:

angles in a pentagon add up to equal 540

Hence, 110 + 90 + 80 + 115 + v = 540

( note that we just created an equation that we can use to solve for v )

We now solve for v using the equation created

110 + 90 + 80 + 115 + v = 540

step 1 combine like terms

110 + 90 + 80 + 115 = 395

we now have 395 + v = 540

step 2 subtract 395 from each side

540 - 395 = 145

395 - 395 cancels out

we're left with v = 145

8 0

2 years ago

Look at the two temperatures. How much have they changed by?<br> 4 degrees to -10 degrees

aliina [53]

Answer:

$\displaystyle 14$

Step-by-step explanation:

we are given two temperature

4 degrees and -10 degrees

since it says to figure out the changed

substract

$\displaystyle 4 - ( - 10)$

remove parentheses and change its sign

$\displaystyle 4 + 10$

simplify addition:

$\displaystyle 14$

and we are done!

4 0

3 years ago

Read 2 more answers

URGENT! PLEASE HELP.

Harrizon [31]

The distance BC from Tower 2 to the plane will be 14,065.5 ft and the height of the plane from the ground will be 5,720.9 ft.

<h3>What is a right-angle triangle?</h3>

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A plane is located at C on the diagram.

There are two towers located at A and B.

The distance between the towers is 7600 feet and angles of elevation are given.

Then in the right-angle triangle ΔADC, we have

$\rm \tan 16 = \dfrac{H}{7600 + X}\\\\\\H = 0.2867(7600 +X)\\\\\\H = 0.2756\ X + 2179.2649$ ...1

Then in the right-angle triangle ΔBDC, we have

$\rm \tan24 = \dfrac{H}{ X}\\\\\\H = 0.4452\ X$ ...2

From equations 1 and 2, we have

0.4452X = 0.2756 X + 2179.2649

0.1696X = 2179.2649

X = 12849.439 ≅ 12,849.4 ft

Then the distance BC from Tower 2 to the plane will be

$\rm BC = \dfrac{12849.4}{\cos 24}\\\\\\BC = 14065.5 \ ft$

Then the height of the plane from the ground will be

$\rm H = 12849.4 \times \tan 24 \\\\\\H = 5720.9 \ ft$

The figure is shown below.

More about the right-angle triangle link is given below.

brainly.com/question/3770177

#SPJ1

3 0

2 years ago

What is the y-intercept, axis of symmetry and vertex of the following function.

Pepsi [2]

Complete the square:

F(x) = -3x² - 6x - 5

F(x) = -3 (x² + 2x) - 5

F(x) = -3 (x² + 2x + 1 - 1) - 5

F(x) = -3 ((x + 1)² - 1) - 5

F(x) = -3 (x + 1)² + 3 - 5

F(x) = -3 (x + 1)² - 2

The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :

F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5

The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.

The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from

(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2

This is to say, every point on the parabola has a y-coordinate no greater than -2.

As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.

4 0

2 years ago

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Which triangles are congruent by AAS?

netineya [11]

For two triangles to be congruent by AAS:
1- Two angles in the first triangle must be equal to two angles in the second triangle
2- A non included side in the first triangle is equal to a non included side in the second triangle

Now, let's check our options. We will find that:
For the two triangles UTV and ABC:
angle T = angle A
angle V = angle C
TU (non-included between angles T & V) = AB (non-included between angles A & C)

Therefore, we can conclude that:
Triangles ABC and UTV are congruent by AAS

8 0

3 years ago

Read 2 more answers