If a car travels 350 miles in 2.5 hours, how far does it travel in one hour?

How do you solve -2/3x=20

Sladkaya [172]

Answer:

x=-30

Step-by-step explanation:

We need to get rid of all the denominators in this equation.

This can be achieved by multiplying both the left and the right side by the Least Common Denominator.

In our example, the LCD is equal to .We need to get rid of all the denominators in this equation.

This can be achieved by multiplying both the left and the right side by the Least Common Denominator.

In our example, the LCD is equal to 3 .

3 0

3 years ago

The graph of y=tan(x) is vertically stretched by a factor of 7, shifted a distance of 12 units to the left, reflected across the

Mekhanik [1.2K]

Step-by-step explanation:

A transformation(s) of a parent function is

$f(x) = a(bx - c) + d$

where a is vertical compression/stretched or reflection

B is horinzotnal compression/stretch or reflection

C is horinzontal translation

D is vertical translation.

The parent function is

$y = \tan(x)$

First, we stretched this by 7

so we have

$y = 7 \tan(x)$

We need to shift this 12 units to the left so we have

$y = 7 \tan(x + 12)$

We need to reflect this across x axis so we get

$y = - 7 \tan(x + 12)$

We need to shift this downwards 15 so we get

$y = - 7 \tan(x + 12) - 15$

or because tan is a odd function you could say

$7 \tan( - (x + 12) ) - 15$

$7 \tan( - x - 12) - 15$

6 0

2 years ago

In triangle ABC, angle bisectors line AD, line BE, and line CF meet at I. If DI = 3, BD = 4, and BI = 5, then compute the area o

Nikitich [7]

The area of triangle ABC is the amount of space on the triangle

The area of the triangle is 54.84 square units

<h3>How to determine the area of triangle ABC</h3>

Start by drawing the triangle (see attachment)

Next, calculate the measure of angle B using the following tangent ratio

$\tan(B/2) = \frac 34$

This gives

$\tan(B/2) = 0.75$

Take the arc tan of both sides

$B/2 = 36.87$

Multiply by 2

$B = 73.74$

Next, calculate the length of side AD using the following equation

$AD = \tan(B) * BD$

This gives

$AD = \tan(73.74) * 4$

$AD =13.71$

The area of the triangle is then calculated as:

$Area = AD * BD$

This gives

$Area = 13.71 * 4$

$Area = 54.84$

Hence, the area of the triangle is 54.84 square units

Read more about areas at:

brainly.com/question/24487155

8 0

2 years ago

The altitude a ( in feet) of a plane t minutes after lift off is given by a=3400t+600

Julli [10]

Answer:

6 minutes

Step-by-step explanation:

'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:

21000 = 3400t +600

You can solve this for t:

20400 = 3400t . . . . . subtract 600 from both sides

6 = t . . . . . . . . . . . . . . . divide both sides by 3400

The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.

The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:

The plane is at an altitude of 21000 feet 6 minutes after lift off.

4 0

2 years ago

Which is the better deal, 139.99 with 20 percent in discountor 139.99 with $20 in discount

Leno4ka [110]

20% discount is definitely the $ saver!

3 0

3 years ago