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How to find the distance AB ? A(0,1) B(2,-3)

Anastaziya [24]

Hey there!!

Distance formula :

$\sqrt{(y2-y1)^{2} + (x2-x1)^{2} }$

Coordinates given :

( 0,1 ) and ( 2,-3 )

( y2 = -3 ; y1 = 1 ) ( x2 = 2 ; x1 = 0 )

Plugging in the values :

... $\sqrt{(-3-1)^{2}+(2-0)^{2} }$

... $\sqrt{(-4)^{2}+(2)^{2} }$

... $\sqrt{16+4}$

... $\sqrt{20}$

... $\sqrt{5}$ × $\sqrt{4}$

... 2 $\sqrt{5}$ units is the distance.

Hope my answer helps!!

4 0

3 years ago

On the last three physics exams a student scored 89, 87, and 92. What score must the student earn on the next exam to have an av

OlgaM077 [116]

Answer:

For the average to be above 90, the marks in the fourth paper should be MORE THAN 92.

Step-by-step explanation:

The score of students in last 3 exams = 89 , 87 and 92

Let us assume the marks scored by the student in last exam = k

The average of marks should be above 90.

Now, $\textrm{The average of total marks} = \frac{\textrm{Sum of all marks obtained in 4 papers}}{\textrm{ 4 papers }}$

Sum of all 4 paper's marks = 89 + 87 + 92 + k = 268 + k

Also, 90 < Average

$\implies 90 < \frac{268 + k}{4}\\ or, 360 < 268 + k\\\implies 360 - 268 < k\\or, k > 92$

Hence,for the average to be above 90, the marks in the fourth paper should be MORE THAN 92.

4 0

3 years ago

Solve the following 2-step equations for x

Olenka [21]

X = 31.5 is the answer I’m pretty sure

8 0

3 years ago

Name and describe the five schedules of control substances. Name a few drugs in each schedule.

zmey [24]

Answer and Step-by-step explanation:

The U.S. Drug Enforcement Administration (DEA) has divided the sustances into five categories schedules, which they are:

Schedule 1 (I) drugs: substances with no accepted medical use so far and a high potential for abuse. This is the most dangerous schedule because they are considered to have a very high potential of severe psychological and physical dependence. Examples: Heroin, LSD, Methylenedioxymethamphetamine (ecstasy)

Schedule 2 (II) drugs: substances with very controlled medical use with a abuse potential very high but less than Schedule 1 drugs. They are considered very dangerous, because they can lead to a severe psychological and physical dependence. Examples: Cocaine

Methamphetamine, Ritalin.

Schedule 3 (III) drugs: substances that are defined as drugs with a moderate to low potential for physical and psychological dependence. Their abuse potential is less than Schedule 1 and 2, but higher than Schedule 4. Examples: Vicodin, Anabolic steroids, Testosterone.

Schedule 4 (IV) drugs: substances with a abuse potential low and their risk of dependence is also low. Examples: Xanax, Valium , Ativan.

Schedule 5 (V) drugs: substances abuse potential lower potential than Schedule 4 (IV) and they are made with limited amounts of some narcotics. They are used for analgesic purposes, antidiarrheal and less serious conditions. Examples: Lomotil, Robitussin

6 0

3 years ago

Express it in slope-intercept form.

zmey [24]

Here is the answer hope this helps

6 0

3 years ago