M is the midpoint of RS. R has coordinates (-2,-3) and M has coordinates (1,0). Find the coordinates of S.
Answer:
[tex](4,3)[/tex]
Step-by-step explanation:
Given
[tex]R = (-2,-3)[/tex]
[tex]M = (1,0)[/tex]
Required
Determine the coordinates of S
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (1,0)[/tex]
[tex](x_1,y_1) = (-2,-3)[/tex]
Substitute these values in the above formula:
[tex](1,0) = \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]
Multiply through by 2
[tex]2 * (1,0) = 2 * \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]
[tex](2,0) = (-2 + x_2,-3+y_2)[/tex]
By direct comparison:
[tex]2 = -2 + x_2[/tex] and [tex]0 = -3 + y_2[/tex]
Solving for x2
[tex]2 = -2 + x_2[/tex]
[tex]x_2 = 2 + 2[/tex]
[tex]x_2 = 4[/tex]
Solving for y2
[tex]0 = -3 + y_2[/tex]
[tex]y_2 = 0 + 3[/tex]
[tex]y_2 = 3[/tex]
Hence, the coordinates of S is: [tex](4,3)[/tex]
pls help I need the answer quick!
Answer:
the blue line
Step-by-step explanation:
Find the critical value zα2/ that corresponds to a 91% confidence level. Question 13 options: a) 1.7 b) 1.95 c) 1.81 d) 2.33 e) 2.57
Answer:
D
Step-by-step explanation:
2.33 I think
The critical value that corresponds to a 91% confidence level is 1.7
What is critical value?'Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.'
According to the given problem,
Confidence level = 91%
Now, α = ( 100 - 91 ) %
= 9%
= 0.09
Area of each tail = [tex]\frac{0.09}{2}[/tex]
= 0.045
Area in the middle = 1 - 0.045
= 0.955
Now, if we look up this area on the z-table, the critical value will come as 1.6954, which is nearly equal to 1.7.
Hence, we can conclude, the critical value is 1.7.
Learn more about critical value here: https://brainly.com/question/14508634
#SPJ2
f 144 pieces of candy are placed into candy bags with each bag containing 12 pieces of
candy, how many bags can be filled?
A recipe calls for 2
cups of sugar. How many fourths is that?
(1 point)
03
08
011
O 14
Answer:
8
Step-by-step explanation:
2*4=8
Answer:
8 fourths
Step-by-step explanation:
Ade is baking mini-loaves of bread. How many mini-loaves could he make with 10 cups of flour?
12.5
15
25
50
Answer
10
Step-by-step explanation:
it takes 3/4 of a cup to make a mini loaves of bread and 3/4 is about one cup so 10
The number of mini-loaves that he could make with 10 cups of flour will be 25 cups.
From the complete information, it was stated that 1 cup of flour can be used to make 2.5 loaves.
Therefore, based on the information given, in order to calculate the number of mini-loaves that he could make with 10 cups of flour, we've to multiply the values. This will be:
= 2.5 × 10 = 25
In conclusion, the correct option is 25 cups.
Read related link on:
https://brainly.com/question/15546607
A copy machine can print 480 copies every 4 minutes.
How many copies can it print in 10 minutes?
The quotient of 363636 and 333 is jjj.
Solve for jjj.
Answer:
What Do U Mean By Jjj?? Can U Pls Reply
Answer:
What is jjj
Step-by-step explanation:
363636 seems like a big number are you sure that is what you wanted to put in?
Ms. Avella’s class volunteers at an animal shelter one day per week.each student is responsible for caring for four animals during every hour spent at the shelter
Please help
Answer:
Option (3)
Step-by-step explanation:
Since, every student is responsible for the caring of 4 animals during every hour,
Number of animals cared for ∝ Number of hours spent at shelter
a ∝ h
a = kh
Here 'k' = proportionality constant
For h = 1 and a = 4,
k = [tex]\frac{h}{a}=\frac{4}{1}[/tex]
k = 4
a = 4h
By this equation,
For h = 2,
a = 8
For h = 3,
a = 12
For h = 4,
a = 16,
For h = 5,
a = 20
Since, for every input value there is a different output value,
Diagram shows a function.
Therefore, Option (3) will be the correct option.
Which of these could be the lengths of side of a right triangle?
Answer:
c
Step-by-step explanation:
reason:
5^2+12^2=13^2
Answer:
c
Step-by-step explanation:
1. square the two smaller numbers and add them (5^2 + 12^2 = 169)
2. Take the square root of answer ( 13 )
lillian is a business woman of manufacturing phones. she must pay a daily fixed cost to rent the building and equipment and also pays a cost per phone produced for materials and labor. let c represent the total cost in dollars of producing p phones in a given day. the table below has select values showing the linear relationship between p and c. determine fixed cost for rent and equipment?
P: 2,4,6
C: 1200, 1400, 1600
Answer:
1000 dollars
Step-by-step explanation:
Given
P: ---2 -----,4 ----,6
C: 1200, 1400, 1600
Required
Calculate the fixed cost
First, we need to determine the equation that determines the relationship between P and C
We start by selecting any two corresponding values of P and C
We have that:
[tex](P_1,C_1) = (2,1200)[/tex]
[tex](P_2,C_2) = (6,1600)[/tex]
Calculate the slope, using:
[tex]m = \frac{C_2 - C_1}{P_2 - P_1}[/tex]
[tex]m = \frac{1600 - 1200}{6 - 2}[/tex]
[tex]m = \frac{400}{4}[/tex]
[tex]m = 100[/tex]
The equation is then calculated using:
[tex]C - C_2 = m(P - P_2)[/tex]
Where
[tex]m = 100[/tex] and
[tex](P_2,C_2) = (6,1600)[/tex]
[tex]C - 1600 = 100(P - 6)[/tex]
[tex]C - 1600 = 100P - 600[/tex]
Collect Like Terms
[tex]C = 100P - 600 +1600[/tex]
[tex]C = 100P + 1000[/tex]
From the equation above,
100P represents the amount paid for P phones produced
1000 represents the fixed cost paid
C represents the total amount paid
Two groups separately performed an experiment by tossing a coin in the air. Group X performed 50 trials and group Y performed 100 trials. Each group recorded the results in the table below: Group Heads Tails X 33 17 Y 53 47 What conclusion can be drawn about the number of trials and the probability of the coin landing on heads or tails? The experimental probability is closer to the theoretical probability for group Y than group X. The experimental probability and the theoretical probability for group X is the same. The experimental probability and the theoretical probability for group Y is the same. The experimental probability is closer to the theoretical probability for group X than group Y.
Answer:
D. The experimental probability is closer to the theoretical probability for group H than group G.
With any experimental probability, the more trials that are done will make the experiment move more likely to be the theoretical probability. in this case, the theoretical probability for flipping a coin is 50 heads 50 tails which H is closer to. any statistical data the more data collected the more close to reality it is.
Step-by-step explanation:
Answer:
B. The experimental probability and the theoretical probability for group X is the same.
7th grade math help me pleasee
what is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?
Answer:
768
Step-by-step explanation:
a=3
r=2
t9=ar^n-1
=3×2^9-1
=3×2^8
=3×256
=768
Halla el perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm respectivamente
Answer:
El perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm es 222 cm y 3024 cm² respectivamente.
Step-by-step explanation:
Para empezar debes tener en cuenta que las medidas tienen que estar en la misma magnitud; por lo tanto en este caso la unidad de medida elegida a utilizar es centímetros. Por lo que el lado que mide 6,3 dm será expresado en cm. Entonces se puede aplicar la siguiente regla de tres simple: si 1 dm equivale a 10 cm, entonces 6,3 dm a cuántos cm equivale?
[tex]cm=\frac{6,3 dm*10 cm}{1 dm}[/tex]
cm=63
Entonces 6,3 dm= 63 cm
El perímetro es la distancia alrededor de una figura, mientras que el área es las unidades cuadradas dentro de una figura.
El Perímetro de un rectángulo es igual a la suma de todos sus cuatro lados. Un rectángulo siempre tiene dos pares de longitudes iguales. Entonces en este caso se obtiene:
63 cm + 63 cm + 48 cm + 48 cm= 222 cm
El área de un rectángulo es el producto de la longitud de los lados. Entonces en este caso se obtiene:
63 cm* 48 cm= 3024 cm²
El perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm es 222 cm y 3024 cm² respectivamente.
what is descriptive language
Evaluate [(30 + 6) - 34 = 9 divided by 2
Answer:
2=9/2
Step-by-step explanation:
it given that sin(-x) = -m where x is acute angle . express sec x in terms of m
Answer:
[tex]\sec(x)=\frac{1}{\sqrt{1-m^2}}[/tex]
Step-by-step explanation:
We know that:
[tex]\sin(-x)=-m[/tex]
First, since sine is an odd function, we can move the negative outside:
[tex]=-\sin(x)=-m[/tex]
Divide both sides by -1:
[tex]\sin(x)=m[/tex]
We will now use the Pythagorean Identity:
[tex]\cos^2(x)+\sin^2(x)=1[/tex]
Substitute m for sine:
[tex]\cos^2(x)+m^2=1[/tex]
Solve for cosine:
[tex]\cos^2(x)=1-m^2[/tex]
Take the square root of both sides:
[tex]\cos(x)=\pm\sqrt{1-m^2}[/tex]
Since x is an acute angle, cosine will always be positive. Thus:
[tex]\cos(x)=\sqrt{1-m^2}[/tex]
Take the reciprocal of both sides. Hence:
[tex]\frac{1}{\cos(x)}=\sec(x)=\frac{1}{\sqrt{1-m^2}}[/tex]
9., Alex is having a pizza party for 22
people. Each pizza has 6 slices. How
many pizzas should Alex buy to
ensure that each person gets at least
1 slice?
Answer:
You’ll need to purchase at least 12 pizzas to handle your group
Step-by-step explanation:
1. What operation occurs in 3x?
2. In the expression 5x-1 what two operations occur?
1) 3 * x
2) multiplication (5 * x); subtraction (5x - 1)
10 Points!
Tyra competed on a trivia game show. 10 points were awarded for correct answers, and 5 points were deducted for incorrect answers. She answered 2 questions correctly, but answered one incorrectly. How many points does she have?
Answer:
Step-by-step explanation:
Answer = 15 points
Explain:
Correct answer gives you 10 points
incorrect answers subtract 5 points
She had to correct question which would be 20pts. (10 + 10 = 20)
She got one answer wrong which would subtract 5pts (20 - 5 = 15)
answer = 15pts
Hey can someone please help me with this
Tra
Figure P was rotated about the center shown by 180°.
P
Tra
center
Which figure is the image of P?
Qu
Choose 1 answer:
809
Tak
A
А
P Р
Ro
B
B
P Р
Qu
0%
Tal
P Р
Rel
D
P Р
Answer: got it correct
Step-by-step explanation:
And yeah
Mr.Sanchez bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr.Sanchez’s purchase?
Answer:
36.94
Step-by-step explanation:
Multiply 34.85 (the total cost of the book and mags) by 0.06 (cost of sales tax) = 2.91
34.94 + 2.91 = 36.94
Could you help me please with the answer: 2 + 2 / 4 - 9 % 2 = ?
Answer:
-4/25
Step-by-step explanation:
A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from the people in theater A and a 30% response rate from the people in theater B. There were 800 people in total in theaters A and B.
Part A: It was estimated that an equal number of people from each theater responded to the poll. If this was the case, how many people in total would have been in theater A?
Part B: In reality, 440 people were in theater A and 360 people were in theater B. What was the total response rate for the poll? Express your answer as a percentage.
Answer:
Let´s define the variables:
x = number of people in theater A
y = number of people in theater B
We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x
We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y
There where 800 people in total (counting from the two theatres)
Then x + y = 800.
A) In this case we have:
Na = Nb
this means that:
0.2*x = 0.3*y
and we also have the equation:
x + y = 800
To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:
x = 800 - y
And now we can replace this in the other equation to get:
0.2*(800 - y) = 0.3*y
We need to solve this for y:
160 - 0.2*y = 0.3*y
160 = 0.3*y + 0.2*y = 0.5*y
160/0.5 = y = 320
Then there where 320 people in theater B, and:
x + y = 800
x + 320 = 800
x = 800 - 320 = 480
There where 480 people in theather A.
B) Now we have:
x = 440
y = 360
then:
Na = 0.2*440 = 88
In theater A, 88 people answered the survey.
Nb = 0.3*360 = 108
In theater B, 108 people answered the survey.
In total, 88 + 108 = 196 people answered the survey.
What is the slope of the line that passes through the points shown in the table?
х
y
-1
-5
0
-3
1
-1
2
1
slope
Answer:
Where is the table???
Step-by-step explanation:
Show the full question
there are 6 rows of 16 chairs set up for the third-grade play. In the first 4 rows 2 chairs on each end are reserved for teachers. The rest of the chairs are for students. How many chairs are there for students? please HELP!
Answer: 102
Step-by-step explanation:
Pls answer ! Thanks
Answer:
The slope is 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
(Giving branliest on this 1 !! :D)
Solve five and four tenths times two.
A) ten and four twentieths
B) ten and four tenths
C) ten and eight tenths
Answer:
I am not sure if I am correct but I think it is ten and eight tenths too not a 100% sure
Answer:
its 10 8/10 :) <3
Step-by-step explanation: