A triangle has vertices on a coordinate grid at N (7,3), 0(-8, -3), and
P(-8,-8). What is the length, in units, of NO?
Answers
Answer:
[tex]d\approx 16.16\ units[/tex]
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
The triangle formed by the points N (7,3), 0(-8, -3), and P(-8,-8) is shown in the image provided.
We are required to find the distance between N and O:
[tex]d=\sqrt{(-3-3)^2+(-8-7)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(-15)^2}[/tex]
[tex]d=\sqrt{36+225}[/tex]
[tex]d=\sqrt{261}[/tex]
Since 261=9*29:
[tex]d=3\sqrt{29}[/tex]
[tex]\mathbf{d\approx 16.16\ units}[/tex]
Related Questions
Solve for x.
14x + 18 + x = −112(x + 36) + 13
A
x = −6
B
x = −3
C
x = 3
D
x = 6
Answers
Answer:
x = -4037/127
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Step-by-step explanation:
Step 1: Define
14x + 18 + x = -112(x + 36) + 13
Step 2: Solve for x
Distribute -112: 14x + 18 + x = -112x - 4032 + 13Combine like terms: 15x + 18 = -112x - 4019Add 112x on both sides; 127x + 18 = -4019Isolate x term: 127x = -4037Isolate x: x = -4037/127Answer:
The correct answer is a.) x=-6
Step-by-step explanation:
Solve: x^2-x-6=0
Show your wrok
Answers
or
x=3The factors of which -6 which sum to -1 are -3 and +2(x-3) (x+2)=2Equate each factor to zero and solve for xx +2=0→x=-2x-3=0→x=3.Can someone help me please
Answers
2x + 33 = 9.
Minus both sides by 33.
2x = -24
Then, divide both sides by 2.
x = -12
Answer:
x = 12
Step-by-step explanation:
Simplifying
9 + 2x = 33
Solving
9 + 2x = 33
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 2x = 33 + -9
Combine like terms: 9 + -9 = 0
0 + 2x = 33 + -9
2x = 33 + -9
Combine like terms: 33 + -9 = 24
2x = 24
Divide each side by '2'.
x = 12
Simplifying
x = 12
what is π + e its easy
Answers
Answer:
5.85987448205
Step-by-step explanation:
Answer:
The answer is e+pi
Step-by-step explanation:
A roll of ribbon holds 6.75 meters. A craft club buys 21 rolls.
How many meters of ribbon did the club buy?
What is the total cost if the ribbon sells for $2 per meter?
Answers
Answer:
A roll of ribbon holds 6.75 meters. A craft club buys 21 rolls.
How many meters of ribbon did the club buy?
What is the total cost if the ribbon sells for $2 per meter?
Step-by-step explanation:
Aye can one of y’all help me break this answer down (btw the total is 120)
Answers
First you subtract the sandal cost from the total price (120-20=100), then you divide the amount of t-shirts (5) by that amount (100). So 100/5=20 so that is the price of the individual T-shirts.
Final answer: $20 per t-shirt
Answer: 5t + (10x2) i believe. I don’t know what the question was but i’m guessing they wanted to know the equation..!
Step-by-step explanation: first ... add all the people up in the family which is 5 then you times that by a variable and since they bought all of them t- shirts the variable will be ‘t’ so that’s 5t then take 10x2 since they bought two pairs of sandals which cost $10 for each pair and your equation will be 5t + (10x2)
Gwen bought a total of 35 pieces of licorice. She bought 4 times as many red pieces as she did black pieces.
a. Write a system of equations that represents the number of pieces of each kind of licorice that Gwen bought.
b. Solve the system by substitution
c. Interpret the solution
Answers
Step-by-step explanation:
The total no of pieces is 35. Let Gwen has B black pieces and R red pieces.
(a) She bought 4 times as many red pieces as she did black pieces. It means,
Red pieces = 4B
Equations that represents the number of pieces of each kind of licorice that Gwen bought are :
R + B = 35 ....(1)
and
R = 4B ....(2)
((b) Put equation (2) in equation (1)
4B + B = 35
5B = 35
B = 7
Put the value of B in equation (2)
R = 4(7) = 28
(c) There are 7 black and 28 red pieces of licorice.
ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY? triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C XY = 18 XY = 32 XY = 6 XY = 8
Answers
Answer:
[tex]XY = 18[/tex]
Step-by-step explanation:
Given
[tex]ABC:AXY = 4 : 3[/tex]
[tex]BC = 24[/tex]
Required
Find XY
Represent BC and XY as a ratio;
[tex]BC : XY = 24 : xy[/tex]
Recall that:
[tex]ABC:AXY = 4 : 3[/tex]
Equate both ratios;
[tex]24 : xy = 4 : 3[/tex]
Convert to fractions
[tex]\frac{24}{xy} = \frac{4}{3}[/tex]
Cross Multiply
[tex]xy * 4 = 24 * 3[/tex]
[tex]xy * 4 = 72[/tex]
Divide through by 3
[tex]xy * 4/4 = 72/4[/tex]
[tex]xy = 18[/tex]
Hence:
[tex]XY = 18[/tex]
Answer:
XY = 18
Step-by-step explanation:
What are the zeroes of the function?
y = (x – 3)(x + 2)(x – 2)
A. –3, 2, –2
B. –3, 2, 2
C. 3, –2, 2
D. 3, 2, 2
Answers
Answer:
Option C
Step-by-step explanation:
x - 3 = 0
Add 3 to both sides;
x = 3
x + 2 = 0
Subtract 2 from both sides;
x = -2
x - 2 = 0
Add 2 to both sides;
x = 2
Select three ratios that are equivalent to 8 : 5
Answers
Answer:
16:10, 24:15, 32:20, etc.
Step-by-step explanation:
Evaluate. -|-2 + 9| 7 -7 -11
Answers
Answer:
= −67
Step-by-step explanation:
Answer:
the correct answer is -7 i had this on a test
Step-by-step explanation:
Please help me thank you!!!
Answers
Answer:
1,-1,-3,3 that is your answer
If x=1 , then y =1
If x=0, then y=-1.
If x=-1, then y=-3.
If x=-2, then y=-5.
6. At a game, there were 24 adults and 10 children. Keeping the same ratio,
if there were 50 children, how many adults would be at the game? *
Answers
Answer:
The total number of adults will be: 120 adults
Step-by-step explanation:
Given that there were 24 adults and 10 children in a game.
Thus, adults to children ration = 24:10 or 24/10
If there were 50 children, how many adults would be at the game?Let 'x' be the number of adults when there 50 children.
so the ration of adults 'x' to 50 childern = x: 50 or x / 50
As the ratio is the same.
Thus,
24 : 10 = x : 50
24/10 = x/50
switching sides
x/50 = 24/10
x = 24/10 × 50
x = 120 adults
Therefore, the total number of adults will be: 120 adults
A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.
Answers
Answer:
28 shirts
Step-by-step explanation:
Let's see what we are given.
there are x amount of shirts ($616 total)
there are 12 in a dozen
the regular shirts are $16
the last 12 shirts are $14
Lets make an equation.
616= 14(12) + 16x
616=168+16x
448=16x
x=28
(Sorry if this explanation is bad)
Please give me the answer.
Answers
Answer:
1: 3, 1/3
2: 9, 1/9
3: 27, 1/27
4: 81, 1/81
Can someone plz help me it is timed ill give Brainliest if it is correct
Answers
Answer:
b
Step-by-step explanation:
I had this exactl question a while ago
A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. The family paid for the furnishings, plus 4.5% tax on the purchases. The decorator’s fee was 12% of the purchases, not including the tax.
Write an equation in the form of y=kx, using x to represent the decorator’s fee. Then use the equation to calculate the amount of that fee.
Please answer ASAP!!!
Answers
Answer:
Can you be more specific, like y is what and k is what because it tells us what x is but not the rest.
Step-by-step explanation:
Last year, the average monthly revenue at the Richmond Times newspaper was $82,980. So far this year, the average has been 25% more than last year. What is the average revenue so far this year?
Answers
Answer:
103,725
Step-by-step explanation:
82,980x.25+82,980
PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW
Answers
Answer:
a
Step-by-step explanation:
Answer:
I think its the number of months
Step-by-step explanation:
It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.
Hope this helps:)
pleeaseeeeeeeeeee hellpppppp
solve 6x + 2 = 2(x + 4) - 2.
A. x= -1
B. there are infinitely many solutions
C. x= 1
D. x = -7/13
Answers
6x+2=2x+8-2
6x+2=2x+6
4x+2=6
4x=4
x=1
hope this helps! :)
A bike rental company rents beach bikes. They charge an initial fee plus $1 for each hour the bike is rented. Chad rented a bike for six hours and was charged $10. How much is the initial fee?-I need help with the first step and I NEED HELP ASP!!
Answers
Answer/Step-by-step explanation:
Since chad was charged 1 dollars for each hour for 6 hours, we can represent this as 1 x 6. Now subtract 6 dollars from the bill for the hours and it leaves the initial fee of $4 for rental.
Now check your work:
(1 x 6) + 4 = 10
Plz need help rn What is m
Answers
Answer:
measure of angle p=
94
Step-by-step explanation:
ok 5 sided polygon= 540
so put all of those equal to 540
need to find x first
540=132+(4x-10)+(5x-11)+128+(4x+2)
simplify and combine like terms
x=23
now plug in for angle p
(4(23)+2)
94
Is "The weight of a stack of standard 8.5x11 copier paper vs. number of sheets of paper." a proportional relationship?
Answers
Answer:Yes it is proportional because w=kp k=paper weight which is constant. The relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional.
Step-by-step explanation:
Answer: Yes it is a direct proportional relationship
================================================
Explanation:
The equation is in the form y = kx, where
x = number of sheets of paper
k = weight of 1 sheet of paper
y = weight of all the x sheets of paper
x is some nonnegative whole number. The values of y and k are some nonnegative real numbers (aka any decimal values).
Note how if we had x = 0 pieces of paper, then y = 0 is the weight. So no paper leads to no weight. This visually is shown by the line y = kx going through the origin. All direct proportion equations go through the origin.
Each time we add a sheet of paper, we add on k ounces or k grams, or whatever units you're working with. The amount is constant assuming you are dealing with the same type of paper. Comparing y = kx with y = mx+b, we see that k plays the role of the slope or rate of change.
Find the slope of the line passing through the points (-7, 8) and (5.-7).
Answers
Answer:
slope is 15/-12
Step-by-step explanation:
:)
which is another way to write 42 + 63?
Answers
Answer:
B
Step-by-step explanation:
The sum of 42 + 63 is equal to 105.
B is the only answer that matches the sum of 42 and 63.
7 * 15 = 105
:3))
gcf of 15 and 40 Lmc of 15 and 40
Answers
Answer:
gcf: 5
lcm: 120
Step-by-step explanation:
hich correctly describes how the graph of the inequality 4x − 2y > 20 is shaded?
Answers
Answer:
First we need to express y in this inequality:
-2y > -4x + 20
-y > -2x + 10
y < 2x - 10
The line isn't solid because the "less" sign doesn't include equal in it.
Because the sign is "less than" the shaded part is Below the line.
Merging these 2 conclusion we get the answer:
below the dashed line.
Step-by-step explanation:
How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?
A.
3y - X = -6
4y - x = 44
B.
3y + x = -6
4y + x = 44
C.
3y - 3x = -6
4y - 4x = 44
D.
3y + 3x = -6
4y + 4x = 44
Answers
Answer: c
Step-by-step explanation:
bc i said
HELP ME PLEASE ILL GOVE YOU BRAINLESY ANSWER
Answers
Answer:
300ft²
Step-by-step explanation:
Step 1)
Multiply The Walkway
(3 × 30)2 = 180ft²
(3 × 20)2 = 120ft²
Step 2)
Add The Walkway
180ft² + 120ft² = 300ft²
Step 3)
Multiply The Whole Area Including The Walkway and The Garden
30 × 20 = 600ft²
Step 4)
Subtract The Whole Area By The Walkway
600ft² - 300ft² = 300ft²
Step 5)
The Area Of The Garden is 300ft²
Determine if each sequence is an arithmetic sequence. If yes, find the common difference.
1. 10,12,15,19,…
2. If there is, what is the common difference?
Answers
Answer: Yes, add one more each time you add
Step-by-step explanation:
The difference between 10 and 12 is 2.
The difference between 12 and 15 is 3.
The numbers increase by different amounts each time, not by a constant amount, thus the sequence is not arithmetic.