Distance = 13 units
Point A: (8, -7)
Point B: (-4, -2)
[tex]\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }[/tex]
[tex]\sqrt{(12)^{2} + (-5)^{2} }[/tex]
[tex]\sqrt{144 + 25 }[/tex]
[tex]\sqrt{169}[/tex]
[tex]13[/tex]
Answer:
[tex]\boxed {d = 13}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you find the distance between the two following points:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the two following onto the formula:
[tex](x_{1}, y_{1}) = (8, -7)[/tex]
[tex](x_{2}, y_{2}) = (-4, -2)[/tex]
[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]
-Solve for the distance:
[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]
[tex]d = \sqrt{(-12)^{2} + 5^{2}}[/tex]
[tex]d = \sqrt{144 + 25}[/tex]
[tex]d = \sqrt{169}[/tex]
[tex]\boxed {d = 13}[/tex]
Therefore, the distance is [tex]13[/tex].
Which angles would the consecutive interior angles theorem state are supplementary?
Answer: I'd go with Option (C.<3 AND 4, <6 AND 4)
Answer: The answer is D
Step-by-step explanation:
Some equations have the form y=kxy=kx, where kk is a number.
Which equation CANNOT be written in the form y=kxy=kx?
Answer:
[tex]x = 4y[/tex]
Step-by-step explanation:
Given
[tex]y = kx[/tex]
See attachment for options.
Required
Determine which of the options answers the question
Analyzing the option one after the other:
[tex]\frac{x}{y} = 4[/tex]
Multiply through by y
[tex]y * \frac{x}{y} = 4 * y[/tex]
[tex]x = 4y[/tex]
Divide through by 4
[tex]\frac{x}{4} = \frac{4y}{4}[/tex]
[tex]\frac{x}{4} = y[/tex]
This can be rewritten as
[tex]y = \frac{x}{4}[/tex]
[tex]y = \frac{1}{4} x[/tex]
By comparison with [tex]y = kx[/tex]
we have:
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]k = \frac{1}{4}[/tex]
Hence: this answers the question.
The 2013-14 roster of the Seattle Seahawks, winners of the 2014 NFL Super Bowl, included 10 defensive linemen and 9 offensive linemen. (Data set may be found here.) The weights in pounds of the defensive linemen were 254 311 297 323 260 242 300 252 303 274 and the weights of the offensive linemen were 310 315 305 318 298 301 321 332 320 (a) Make a back to back stemplot of the weights of the offensive and defensive linemen. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Find the five-number summary for the offensive line. (Enter your answers to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (b) Find the five-number summary for the defensive line. (Enter your answer to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (c) Which group of players tends to be heavier? Offensive Defensive
Answer:
Step-by-step explanation:
The weights in pounds of the defensive linemen were :
254,311, 297, 323, 260, 242, 300, 252, 303, 274
Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
The weights in pounds of the offensive linemen were :
310 ,315, 305, 318, 298, 301, 321, 332, 320
Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
a)
Offensive line Stem Defensive line
24 | 2
25 | 2 , 4
26 | 0
27 | 4
8 | 29 | 7
1,5 | 30 | 0,3
0,5,8 | 31 | 1
0,1 | 32 | 3
2 | 33 |
Five number summary of offensive line:
1) minimum: 298
2) maximum: 332
3)
Lower quartile:298 ,301 ,305 ,310
Q1 is the median of lower quartile
[tex]Q1=\frac{301+305}{2}=303[/tex]
4)
Upper quartile:318 ,320 ,321 ,332
Q3 is the median of upper quartile
[tex]Q3=\frac{320+321}{2}=320.5[/tex]
5)
Q2 is the median
298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
Mid value =[tex]\frac{9+1}{2}[/tex]=5th term = 315
Q2=315
Five number summary of defensive line:
1) minimum: 242
2) maximum: 323
3)
Lower quartile:242 ,252 ,254 ,260 ,274
Q1 is the median of lower quartile
Q1=254
4)
Upper quartile:297 ,300 ,303 ,311 ,323
Q3 is the median of upper quartile
Q3=303
5)
Q2 is the median
242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
Mid value =\frac{274+297}{2}=285.5
Q2=285.5
c) Mean weight of offensive line = [tex]\frac{298+301+305+310+315+318+320+321+332}{9}=313.33[/tex]
Mean weight of defensive line = [tex]\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6[/tex]
Mean weight of offensive line is more
So, Offensive group of players tends to be heavier
Order from least to greatest
Answer:
|-3|, |-3.52|, |8|, |-11|
Step-by-step explanation:
Hope this helps my guy
Answer:
Well, this is fairly simple.
Step-by-step explanation:
Those | | on either side of all the numbers are absolute value lines.
Those things are everyone's best friend. They turn every number positive, and essentially make your day better.
So, using that knowledge, I can look at your numbers and tell you with confidence that the correct order is |-3|, |-3.52|, |8|, |-11|.
If I'm wrong, go ahead, shoot me. Sounds lovely.
What are the solutions of this quadratic equation?
X^2 = 16x – 65
Answer:
x= 4.3125
Step-by-step explanation:
Answer:
x=4+7i and x=4-7i
Step-by-step explanation:
Rewrite the given quadratic equation by completing the square.
x^2-8x=-65
x^2-8x+16=-65+16
x^2-8x+16=-49
(x-4)^2=-49
Now, solve the equation by applying the square root property and isolating x.
(x-4)^2=-49
√(x-4)^2 = √-49
x-4=+7i
x=4+7i
So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.
The question is in the picture. You will get 15 points and brainiest if you answer it. I need it asap as this is due in 12 minutes.
Answer:
constant proportanality is 12 k=12
Step-by-step explanation:
because 5 time 12= 60 and it keep going and going
the weekly profit of your cat grooming business is modeled by the expression 2x-15. your profit is more than $55 and at most $105 write your profit as an inequality
Answer:
55 < 2x-15 < 105
Step-by-step explanation:
Just set the equation less than and greater than the variables given
3
Rewrite the equation y= 3/7x + 4 in standard form.
Answer:
I think it is 3x-7y=-28
y = (25 - 2) (35 - 2).
Multiply the binomials.
Answer: y=759
Step-by-step explanation:
y = (25 - 2) (35 - 2)
y = (23) (33)
y = 759
Answer:
y = 759
Step-by-step explanation:
subtract the numbers
y = 23 (35 - 2)
y = 23 x 33
Multiply the numbers
y = 759
Solution
y = 759
Alex prepares goody bags for his guests. He has 30 Minifigures and 24 spinners. How many goody bags can he make if he wants to put the same number of Minifigures in each bag and the same number of spinners in each bag with no toys left over?
Answer:
he can make 6 goodie bags
Step-by-step explanation:
Mr. Mikie hired 3 students to deliver advertising fliers. He paid each student the same amount. Let x be the total amount the students earned. Write an expression that tells how much 1 student earned.
Answer:
$x/3
Step-by-step explanation:
100% A coin is tossed 100 times. Which is the best estimate for the number of times the coin will land heads up?
A 10
B. 20
c. 50
D. 80
E. 100
Answer:
C.50
Step-by-step explanation:
It would be 50 because there are 2 sides to the coin. So if you take 100/2 you get 50. that would be the best estimate answer in my opinion
Number of times the coin will land heads will be 50
What is Binomial Distribution?
Number of trials or observation when each trial has the same probability of attaining one particular value. It determines the probability of observing a specified number of successful outcome in a specific number of trial.
Here , number of times the coin had tosses: 100
P(probability of getting a head in a coin ) : number of time head can come when flipped once / total number of observations
since , head can come once and there are two possibility either head or tail
hence P= 1/2
this implies number of times heads land up = n*P = 100 *(1/2) = 50
option c) 50
Let us learn more about binomial distribution:
https://brainly.com/question/13634543?referrer=searchResults
#SPJ2
100 points please solve fast! Brainliest please!
Answer:
21Step-by-step explanation:
The number of rectangles and combinations:
1 rectangle = 62 rectangles = 53 rectangles = 44 rectangles = 35 rectangles = 26 rectangles = 1Total
6 + 5 + 4 + 3 + 2 + 1 = 21Now the number of,
Rectangles and combinations are,
→ 1 rectangle = 6
→ 2 rectangles = 5
→ 3 rectangles = 4
→ 4 rectangles = 3
→ 5 rectangles = 2
→ 6 rectangles = 1
Then the total number is,
→ 6+5+4 + 3+2+1
→ 15 + 6 = 21
Hence, total number is 21.
Find the slope of the line from the graph.
Answer:will hope it help to find the answer with an unqualified
Step-by-step explanation:
x=???????? ASAPPppppp
Answer:
x=2
Step-by-step explanation:
12=12 2=2
the sides have the same x
The value of a share of AT&T stock on that day wa \$97 50 more than the value a share of IBM HockUnx to represent the unknown value Write an algebraic expression for each of the quantities being compared 0 = the value of a share of AT&T Mock E = the value of a share of IBM stock
Answer:
[tex]A = 97.50 + H[/tex]
Step-by-step explanation:
Given
Stocks: AT&T and IBM HockUnx
Required
Determine the algebraic expression
Represent AT&T with A and IBM HockUnx with H.
Since AT&T is 97.5 more than IBM HockUnx;
The required expression is:
[tex]A = 97.50 + H[/tex]
Jacob and Joe are selling cheesecakes for a school fundraiser customers can buy New York style cheesecake and strawberry cheesecakes Jacobs or six New York style cheesecake's and six strawberry cheesecakes for a total of $96 Joe sold one New York style cheesecake and four strawberry cheesecake for a total of $52 what is the cost of each of one New York style cheesecake and one strawberry cheesecake
Step-by-step explanation:
Given data
Let the cheese be x
And strawberry be y
So
6x+6y=96-------1
x+4y=52----------2
Solving 1 and 2 simultaneously
Let us multiply equation 2 by 6 we have
6x+6y=96
6x+24y=312
-0-18y=-216
18y=216
y=216/18
y=12
Put y=12 in equation 2
x+4*2=52----------2
x+8=52
x=52-8
x=44
cheese =44
strawberry =12
PLEASE HELPPPP IS ALGEBRA 1 it’s easy i guess :/
Ben Amstrong earns $13.57 an hour plus time and a half for weekend work. Last week he worked his regular 40 hours plus 8 hours on Saturday. What was his total pay for the week? A) $542.80 $651.36 B) C) $705.64 $759.92 D)
Answer:
$651.36
Step-by-step explanation:
13.57x48
find the linear function from the table
Can i get some help im really confused and im in the test
Answer:
b y= 3x+6 is the ans but not sure
Which of the following is the factor of 5x - 35?
A. 5(x - 7 ) B. 5(x + 7)
C. 7(x - 5) D. 7(x + 5)
Answer:
a
Step-by-step explanation:
Which ordered pair is an solution of the equation? Y+5=2(x+1)
Answer:
only -1,-5
got it from khan academy
Margaretta cleans houses. She can clean 12 houses in 10 hours. If she cleans houses at a constant rate, how many hours will it take Margaretta to clean 27 houses?please i need help
Answer:
32 hours and 15 minutes or 32.4
Step-by-step explanation:
12 divided by 10 = 1.2
27 x 1.2 = 32.4 or 32 hours and 15 minutes
A ticket to see your favorite baseball team cost $43.32. The price decreases by $0.25 for every game loss during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 24 games. What is the price of a ticket after the team loses 24 games?
Answer:
$37.82Step-by-step explanation:
Given that the cost of the ticket is
$43.32
and the price decrease is by $0.25
let the cost be C
and let the number of losses be L
the expression for the cost we be
C=43.32-0.25L
for the number of losses which is 22 we have
C=43.32-0.25(22)
C=43.32-5.5
C=37.82
Therefore the price after 22 losses is $37.82
A car company can make 200 cars per day. How many weeks will it take to
make 5,600 cars?
Answer:
4 weeks
Step-by-step explanation:
5,600/200 = 28
28/7 = 4
Answer:
4 weeks
Step-by-step explanation:
200x7=1400
5600/1400=4
Find the measure of the angle indicated below. 162 130 ?
Answer:
162 is greater than 130.. if that's what your are talking about..
What is an equation of the line that passes through the points (5,4) and (2,-2)
Answer:
2
Step-by-step explanation:
Slope equation: (y2-y1)/(x2-x1)
y2 = 4, y1 = -2, x2= 5, x1 = 2
4 – -2 = 6
5 - 2=3
6/3 = 2
3 3/5 divided by 18/25
Please help!
What is the inverse of f(x)=x2 - 11 if the domain is x > 0