Ask question

Ask question

All categories

3 years ago

14

How do I use a number line to find the indicated distance

1 answer:

anyanavicka [17]3 years ago

4 0

2nd point distance-1st point distant

You might be interested in

Someone please help me

amid [387]

Answer: that is equivalent to 447

Step-by-step explanation:

5 0

3 years ago

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 peopl

laiz [17]

Answer: The waiting time will be 32 minutes when 240 people in line.

Step-by-step explanation:

Let us assume that the waiting time is directly proportional to the number of people in the queue.

Equation of direct proportion between variables x and y : $\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

Put $x_1=20,\ y_1=150,\ y_2=150$ to find $x_2$ .

$\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32$

Hence, the waiting time will be 32 minutes when 240 people in line.

3 0

2 years ago

Read 2 more answers

Find the possible values for s in the inequality 12s – 20 ≤ 50 – 3s – 25.

Margaret [11]

◆ INEQUALITIES ◆

$given \: expression \: \: - \\ \\ 12s - 20 \leqslant 50 - 3s - 25 \\ \\ 12s - 20 \leqslant 25 - 3s \\ \\ adding \: 20 \: both \: sides \: \: , \: \\ we \: get \: - \\ \\ 12 s \leqslant 45 - 3s \\ \\ 12s + 3s \leqslant 45 \\ \\ 15s \leqslant 45 \\ s \leqslant \frac{45}{15} \\ \\ \\ s \leqslant 3 \: \: \: \: \: \: ans.$

8 0

3 years ago

What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?

asambeis [7]

Answer:

(x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

$\sf \: x^2+y^2=16x$

The equation of a circle with center (h,k) and radius r units is

$\sf(x-h)^2+(y-k)^2=r^2(x−h)$

$\sf(x-7)^2+(y-5)^2=4^2(x−7)$

$\sf(x-7)^2+(y-5)^2=16(x−7)$

<h2>❖ Tip❖ :- </h2>

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

6 0

2 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago