Answer:
y = 3x + 9
Step-by-step explanation:
The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~
(- 8, 5)
(4, 1)
m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]
Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3
Coordinates of midpoint are ( - 2 , 3 )
y - 3 = 3 ( x + 2 )
y = 3x + 9
Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3
4
of a minute. At what rate does Toby load passengers?
Answer:
13 1/3
Step-by-step explanation:
10 divided by 3/4 =10 times 4/3 =40 /3 = 13 1/3
sorry don´t really know how to explain my work i just kinda do it .plus it was on my homework .
Answer:
13 1/3
Step-by-step explanation:
Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the probability of getting a sample average of 1.8 or less is:________.a. 0.5893 b. 0.9977 c. 0.4207 d. 0.0023
Answer:
d. 0.0023
Step-by-step explanation:
Calculation for the probability of getting a sample average of 1.8 or less
Using this formula
z score =(X-mean)/Standard errror
Where,
Standard error =Standard deviation/√(n)
Let plug in the formula
P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))
P(Xbar<1.8)=P(Z<-0.4/(2/14.14))
=P(Z<-0.4/0.1414)
=P(Z<-2.83)
Now let find the Z score of P(Z<-2.83) using the z table
P=0.0023
Therefore the probability of getting a sample average of 1.8 or less is:0.0023
Is 2/15 and 3/30 proportional
Answer:
No
Step-by-step explanation:
To turn 15 into 30, you multiple 15*2=30.
If you do that to the bottom of the fraction, you should be able to do it to the top however, 2*2=4 not 3 so they are not proportional.
Please answer very urgent!! answer using a / only 1 number for each slot example:3/4: wrong tho just random number but yeah please put the correct answer
Answer:
5/6
Step-by-step explanation:
to subtract fractions you change both fractions to the same denominator. The website arealdy did it for you. The second step is to subtract the top and put it over the common denominator. 8-3 is 5. 5/6
Determine which situation could be represented by the system of linear equations given below.
5x+3y=210
x+y=60
A. A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.
B. An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
C. A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.
D. An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.
Answer:
B
Step-by-step explanation:
The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.
The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.
5x+3y=210
The total number of chocolate boxes will be expressed as:-
x + y = 60
Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
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Derrick really wants to earn at least $330 at the Bike Shop this week before he goes on vacation. He earns $150 in a week plus $20 for each bicycle he assembles. Which inequality would help Derrick determine how many bicycles (b) he needs to put together?
Answer:
150 + 20x ≥ 330
Step-by-step explanation:
"At least" indicates that you should use the greater than or equal to sign. His weekly wage and the bicycle assembly money when added must be at least 330, so 150 and 20x are on the same side. The 20x represents the $20 for each bicycle multiplied by the amount of bicycles he assembled.
the sum of three times x and 33
Answer:
3x+33
Step-by-step explanation:
This is if you are just looking for an expression.
Whoever answers this first gets brainliest
Pls help ASAP
Answer:
Terminating goes to 3
Repeating goes to 4
Rational goes to 1
Irrational goes to 2
Answer:
1. Rational Number
2. Irrational Number
3. Terminating Decimal
4. Repeating Decimal
Step-by-step explanation:
A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).
I would like to apologize in advance if any of these were incorrect.
Please help
WILL MARK BRAINLIST
Answer:
The answer is A, 13, -13.
Step-by-step explanation:
If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!
Answer:A 13,-13
Step-by-step explanation:
Donald earns $11 per hour working at the bakery.If he works for 4 hours on Saturday and 5hours on Sunday,how much money will he earn?
Answer:999
Step-by-step explanation:11x9=999
An experiment involves studying the composition of genders of a set of triplets. What is the probability that there are 2 boys and a girl in the set?
Answer:
shoot man couldnt tell ya
I need some help please
my answer is the one below but I'm not sure pls give work
!!!!!!!!!!!!!!!plz help asap. 50 POINTS!!!!
Answer:
its c. 1,155.00
Step-by-step explanation:
Can anyone help me please I don’t understand this one can you please help me I appreciate it but don’t give me the wrong answer because I need my grade to go up I’m so sorry for being picky
Answer: (-25)/(2)
Steps: x | 0 | 2 | 4 | 6 | 8 |
"x" has a constant rate change of +2
y | 100 | 75 | 50 | 25 | 0 |
"y" has a constant rate change of -25
therefore, y/x = -25/2
(1,2) and parallel to 3x+4y=12
Answer:
y=-3/4x+10/4
Step-by-step explanation:
1) Change given equation to slope intercept form:
3x+4y=12
4y=12-3x
y=3-(3/4)x
y=-(3/4)x+3
2) Parallel lines have the same slope, so the first part of the equation is:
y=-(3/4)x+b
3) To find b, we plug in y=2 and x=1 given the prompt:
2=-(3/4)(1)+b
2=-3/4+b
2 3/4=b
10/4=b
4) Therefore, the correct equation is:
y=-3/4x+10/4
please help this is so confusing!!!
Answer:
$16.50 on 3 bags of dog food
Step-by-step explanation:
First you would do 27.50/5 to find out how much one bag costs.
The symbol / mean to divide. So 27.50 divided by 5 is 5.50. We need to know the ammount of 3 bags. Hence, we evaluate 3 times 5.50 which equals to our answer, $16.50 on 3 bags of dog food. I hope this will help you succeed!
Eduardo's football team has won
9/10
of their games this season.
Write
9/10
as a decimal.
Write
9/10
as a percent.
Answer:
9/10=0.9
9/10=90%
Step-by-step explanation:
Answer:
[tex]\frac{9}{10}[/tex] = 0.9
[tex]\frac{9}{10}[/tex] = 90%
Hope this help!
in which pair of figures can figure A be taken to figure B by a rotation
Answer:
Pair 1
Step-by-step explanation:
if the shape A rotated 180 degrees it would reach shape B
If the shape A is rotated 180 degrees then it would reach shape B. so the correct option is Pair 1.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
Case 1: If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
For points on axes, WE can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.
On origin there is No effect as we assumed rotation is being with respect to origin.
Therefore, if the shape A is rotated 180 degrees then it would reach shape B.
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brian earns 420 a daywotking at a convenience store. write an algebraic expression to represent the money hre in will earn in d days
Answer:
420d
Step-by-step explanation:
Determine if parallel, perpendicular, or neither.
3y+x=12
-y=8x+1
Answer:
neither
Step-by-step explanation:
1. if to re-write the equation they will be (in standart form y=kx+b):
3y+x=12 ⇔ y=-1/3 x+12 and -y=8x+1 ⇔ y= -8x-1
2. if the lines are parallel, then k₁=k₂, but k₁=-1/3 and k₂=-8 (k₁≠k₂);
3. if the lines are perpendicular, then k₁*k₂= -1, but k₁*k₂=8/3≠ -1;
4. finally, neither.
Solve for x. Geometry problem.
Answer:
12.33
Step-by-step explanation:
6x - 2 + 9x - 3 = 180° (linear pair)
6x + 9x - 2 - 3 = 180°
15x - 5 = 180°
15x = 180 + 5
15x = 185
x = 185/15
x = 12.33
hope this helps you!
Is (n - 1)^2 odd or even
Answer:
even
Step-by-step explanation:
even
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[tex]If \: \: n \: \: being \: \: Even \: \: → \: \: ({n - 1})^{2} \: \: will \: \: be \: \: Odd \\ [/tex]
[tex]If \: \: n \: \: being \: \: Odd \: \: → \: \: ({n - 1})^{2} \: \: will \: \: be \: \: Even \\ [/tex]
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find the volume of the prism
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
Step-by-step explanation:
The volume of the prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively is 120 inches².
A prism is a 3-D geometric shape that has two identical and parallel polygonal bases connected by a series of rectangular or parallelogram-shaped faces (also known as lateral faces).
As it is known that the volume of a prism is obtained by multiplying the area of the base and the height, i.e.,
Volume = area of the base × height
Also,
Area of the base = length × breadth
So,
Volume = length × breadth × height
= 10 × 4 × 3
= 120 square inches.
Therefore, the volume of the rectangular prism is 120 inches².
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The complete question is as follows:
Find the volume of the rectangular prism whose length, breadth, and height are 10 inches, 4 inches, and 3 inches respectively.
HELP! write y+4 =-2/3(x-9) in standard form
Hhhhhhhhhhhhhheeeeelllpppppp
Answer:
c
Step-by-step explanation:
Which of the following values are solutions to the inequality 9 < -10 – 4x?
Answer:
ndndndndndn
Step-by-step explanation:
svhddbxbdnnddjdnfn
Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]
[tex]x_1, y_1[/tex] is (3, 1)
[tex]x_2, y_2[/tex] is (-1, -2)
[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]
which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]
then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]
your final answer is: [tex]\sqrt{13}[/tex] or about 3.61
whats 1+1 ( puntos gratis)
Answer:
I+I = Window
Step-by-step explanation:
Or 2
:|
I'm not too sure
Answer:
i think it's 4
Step-by-step explanation:
maybe 2
can some help me???????
The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are six appetizers, two soups, four main courses, and six desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?
Answer: 96
Step-by-step explanation:
According to the fundamental principle of counting:
Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) x (Choices for desserts)
If there is a restriction to choose between appetizer and dessert.
Then, Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) + (Choices for soups) x (Choices for main courses) x (Choices for desserts)
= 6 x 2 x 4 + 2 x 4 X 6
= 48+48
= 96
Hence, the number of three-course meals are possible= 96
Answer:
96?
Step-by-step explanation: