Formula:
Hope this helped, if not, don’t spam.
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]Now, you know the distance formula. So, let us try solving a sample problem using the distance formula.
Sample problem: Determine the distance between P(3, 2) and Q(10, 2).
From inspection on the given problem:
(x_1, y_1) = (3, 2)(x_2, y_2) = (10, 2)Substitute the given values into the distance formula and solve for PQ:
[tex]\sf PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex][tex]\sf PQ = \sqrt{(10 - 3)^2 + (2 - 2)^2}[/tex][tex]\sf PQ = \sqrt{(7)^2 + (0)^2}[/tex][tex]\sf PQ = \sqrt{49 + 0}[/tex][tex]\sf PQ = \sqrt{49}[/tex][tex]\bold{PQ = 7 \: units}[/tex]Therefore, the distance between two points is 7 units.
[tex]\\[/tex]
Now, wasn't that easy? Try this other sample problem:
Find the distance between P(1, 3) and Q(7, 11).From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.
Cheers!
find the difference quotient of f(x)=2x/x+3
Answer:
Answer:
f=
5
x
Step-by-step explanation:
Let's solve for f.
fx=
2x
x
+3
Step 1: Divide both sides by x.
fx
x
=
5
x
f=
5
x
How many people in the community have cell phones this year?
Answer:
The vast majority of Americans – 96% – now own a cellphone of some kind. The share of Americans that own smartphones is now 81%, up from just 35% in Pew Research Center’s first survey of smartphone ownership conducted in 2011. Along with mobile phones, Americans own a range of other information devices. Nearly three-quarters of U.S. adults now own desktop or laptop computers, while roughly half now own tablet computers and roughly half own e-reader devices.
Step-by-step explanation:
Answer:
Here:
Step-by-step explanation:
35.13% of people have cellphones in the world.
Does changing the compound inequality x > −3 and x < 3 from “and” to “or” change the solution set? Explain.
Answer:
Sure yes.
1) x > - 3 or x < 3 means that the solution set is all the numbers greater than - 3 and all the numbers smaller than 3. That is, this union of intervals: (-3,∞) U (-∞,3), which is all the real numbers.
2) x > -3 and x <3 means that the solution set is the numbers that are at the same time greater than -3 and smaller than 3. That is the intersection of the intervals: (-3,∞) ∩ (-∞,3), which is the interval (-3, 3).
Step-by-step explanation:
looked it up and got it right on edg 2020
Answer:
Sample Response: Yes, if you change the type of compound inequality, the solution set will change. The solution set of the “and” compound inequality contains values for x that satisfy both inequalities, which are values between –3 and 3. The solution set of the “or” compound inequality contains values for x that satisfy either or both inequalities, which includes all real numbers.
Step-by-step explanation:
how much is 10 lb of sugar cost
Answer:
3.75
Step-by-step explanation:
Cameron is flying 8,000 feet above sea level. Directly below her, she sees a whale 50 feet below sea level. Which absolute value expression represents the distance between Cameron and the whale? A) |8,000 − 50| B) |8,000 − (−50)| C) |−8,000 +50| D) |−8,000 − (−50)|
Answer:
D) |−8,000 − (−50)|
Step-by-step explanation:
When we are dealing with questions involving above or below sea level,
The formula for the Absolute value expression representing the distance = | Height above sea level -(Distance below sea level|
Height of Cameron above sea level = 8000ft = -8000
Distance of the whale below sea level = 50ft = -50
Hence, we have:
|−8,000 − (−50)|.
Option D is the correct option
find the sum of -3x^2-x-10 and 10x^2+x-10
Answer:
7x^2-20
Step-by-step explanation:
Answer:
1. -2
2.-10
Step-by-step explanation:
What is the equation of line l
Answer:
Step-by-step explanation:
B
The graph of y = ax^2+ C contains the point (2, 14). Which point lies on the graph of y = a(x - 2)² + c?
Given:
The graph of [tex]y = ax^2+c[/tex] contains the point (2, 14).
To find:
The point which lies on the graph of [tex]y = a(x-2)^2+c[/tex].
Solution:
Consider the given equations are
[tex]y_1 = ax^2+c[/tex] ...(i)
[tex]y_2 = a(x-2)^2+c[/tex] ...(ii)
The translation is defined as
[tex]g(x)=f(x+a)[/tex]
where, a is horizontal shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
From equation (i) and (ii), it is clear that a=-2. So, graph of [tex]y = ax^2+c[/tex] shifts 2 units right to get the graph of [tex]y = a(x-2)^2+c[/tex].
It means each point on [tex]y = ax^2+c[/tex] shifts 2 units right.
[tex](x,y)\to (x+2,y)[/tex]
(2, 14) lies on [tex]y = ax^2+c[/tex].
[tex](2,14)\to (2+2,14)[/tex]
[tex](2,14)\to (4,14)[/tex]
Therefore, (4,14) must be lies on [tex]y = a(x-2)^2+c[/tex].
20 pounds of per food for $14.99
What is the measure of angle TSU?
Answer:
80
Step-by-step explanation:
Angle VSU = 100. Angles TSU is a linear pair with angle VSU so adding them together equals 180. 180-100=80.
The model represents an equation.
Answer:
2.25
Step-by-step explanation:
-3x+10=5x-8
+8 +8
-3x+18=5x
+3x +3x
18=8x
_ _
8 8
2.25=x
I need help on this question plzzz I need to know which table is proportional!!!
Answer:
Allison's table is not proportional
Step-by-step explanation:
Casey's is proportional because all her numbers are x30
Answer:casey
Step-by-step explanation: do 150 divided by 5 =30 and do the same for the rest
Please helppp!!!!!!
Given: AE = BD; CD = CE
Prove: AC = BC
ik it’s wrong
1) AE = BD; CD = CE
Given
2) AE = AC + CE
Subtraction Property of Equality
3) AC +CD= BC + CD
Segment Addition Postulate
4) AC +CD= BD
Symmetric Property of Equality
5) BD = AC + CD
Segment Addition Postulate
6) BD =BC+CD
Transitive Property of Equality
7) AC = BC
Substitution Property of Equality
I think this is it
To prove that AC and BC are congruent, all usable postulates and theorems must be stated, with valid reasons.
The proof that [tex]AC \cong BC[/tex] is as follows:
Given:
[tex]AE = BD, CD= CE[/tex]
I've added as an attachment, the table that needs to be completed.
[tex]1.\ AE = BD, CD= CE \to[/tex] Given
Because the given parameters are:
[tex]AE = BD, CD= CE[/tex]
[tex]2.\ AC \cong BC \to[/tex] Definition of congruence
[tex]3.\ AE =AC + CE \to[/tex] Segment addition postulate
From the attached image, AE is a straight line, and point C is on segment AE.
[tex]4.\ BD=AC +CD \to[/tex] Substitution property of equality
Substitute BD for AE and CD for CE in (2)
[tex]5.\ AC +CD =BD \to[/tex] Symmetric property of equality
The symmetric property of equality states that:
if [tex]a = b[/tex], then [tex]b = a[/tex]
[tex]6.\ BD =BC +CD \to[/tex] Segment addition postulate
From the attached image, BD is a straight line, and point C is on segment BD.
[tex]7.\ AC+CD =BC+CD \to[/tex] Transitive property of equality
The transitive property of equality states that:
if [tex]a = b[/tex] and [tex]b = c[/tex], then [tex]a=c[/tex]
[tex]8.\ AC =BC \to[/tex] Subtraction property of equality
Subtract CD from both sides of (6)
[tex]9.\ AC \cong BC \to[/tex] Proved
Read more about proofs and reasons at:
https://brainly.com/question/11876259
Please help ASAP please please
Answer:
C
Step-by-step explanation:
0.38 = 19/50
Hope this helps!
Answer:
19/50
Step-by-step explanation:
19×100=1,900
1,900÷50=38%
please help me someone..
Answer:
A. 60√3 ft²
Step-by-step explanation:
Help Please!!!!!!!!!!!!
I need help with this can someone give me an answer, please
Jamie is saving $50 per month from his pay check to buy a new video game system. The system costs $325, the controller costs $53, the power adapter costs $33 and the total cost of two games is $71. Use front-end estimation to estimate the cost of all the items. Then, choose the best estimate of the number of months it will take Jamie to save enough money to pay for all of the items.
Answer:
Using front estimation, the cost of all the items is $450 and it will take 9 months to save enough
Step-by-step explanation:
Here, firstly we want to use front-end estimation to estimate the cost of all the items.
So we want to use front end estimation to add;
325 + 53 + 33 + 71
Thus; 325 becomes 300, 53 becomes 50, 33 becomes 30
while 71 becomes 70
So the estimated total will be;
300 + 50 + 30 + 70 = 450
Now , since he saves $50 per month, the number of months it will take = 450/50 = 9 months
help me... the angle pairs.. for example linear pair, vertical angles... that stuff.... I said that because last time I asked this I was getting answers not the angl pairs
Angle 1 and 3: Vertical Angles
Angle 4 and 8: Corresponding Angles
Angles 4 and 6: Alternate Interior Angles
Angles 3 and 5: Alternate Interior Angles
Angles 7 and 8: Linear Pair
Angles 1 and 7: Alternate Exterior Angles
=================================================
Explanation:
Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.
Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.
Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.
A linear pair of angles are adjacent and supplementary (meaning they add to 180).
3/4+1/2 what is the full equation
To divide 5 divided by 5/6 using a model, you should draw five fraction bars and divide each bar into?
Answer:
I think it may be six , but I may be wrong
Step-by-step explanation:
Answer:
sixths
Step-by-step explanation:
Remember the denominator is the number you are dividing the pieces into. Thats why we call it a di"vid'end.
Help pls! Type in your response as a whole number with no extra symbols , variables, or spac
Answer:
63
Step-by-step explanation:
Because the two labelled angles make up a line, we know their sum is 180.
So, add them and set them equal to 180:
2x + (x - 9) = 180
Combine like terms:
3x - 9 = 180
3x = 189
x = 63
Thus, the answer is 63.
~ an aesthetics lover
help me on 1,2,3, and 4 please
Answer:
I think I got linear function on 3 and 2 I got 56.42 but I think that's wrong but yeah sorry.
Step-by-step explanation:
What is the relationship between a and c if a=b+12 and b=c+4
Answer:
if c = 4, it is 1/4 of a
Step-by-step explanation:
if c = 4,
b = c + 4 = 4 + 4 = 8
b = 8
a = b + 12 = 8 + 12 = 20
20/4 = 5
if c = 4, it is 1/4 of a
Please help me !!!!! It's easy just I don't pay attention today
Answer:
x = 77
61 + 42 = 103
180 - 103 = 77
The quotient of a number and ten
Somebody please help ASAP!!
so it is gonna be 24 but if am wrong sorry
A carpenter installed 60 sheets of drywall in 10 minutes. What is the rate per minute?
Answer:
6 sheets a minute
Step-by-step explanation:
60 sheets in 10 minutes can be converted to the equation 60/10.
60/10 is equal to 6/1 which can be simplified to 6. So, the answer is 6 sheets per minute.
hope this helps!
Julio says, "If you subtract 16 from my number and multiply the difference by −6, the result is −138." What is Julio's number?
Answer:
-7
Step-by-step explanation:
use X to represent the unknown number
(x-16) -6=-138
-138/6= -23
(x-16)=-23
add 16 to both sides
x= -7
Julio's number is -7
you can also plug it back into the formula to prove it is right
Simplify each square root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all of your work.
Answer:
1. √121=11 Rational
2. √48=4√3 Irrational
Step-by-step explanation:
1. √121=11 Rational
2. √48=4√3 Irrational