Given:
Endpoints of a segment are J(−24,−4) and K(−4,6).
To find:
The equation in point-slope form for the perpendicular bisector of JK.
Solution:
Slope of JK is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{6-(-4)}{-4-(-24)}[/tex]
[tex]m=\dfrac{6+4}{-4+24}[/tex]
[tex]m=\dfrac{10}{20}[/tex]
[tex]m=\dfrac{1}{2}[/tex]
Product of slopes of two perpendicular lines is -1. So, product of perpendicular line of JK is -2.
Perpendicular bisector of JK passes through the midpoint of JK.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-24-4}{2},\dfrac{-4+6}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-28}{2},\dfrac{2}{2}\right)[/tex]
[tex]Midpoint=\left(-14,1\right)[/tex]
Point slope form:
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
Perpendicular bisector of JK passes through (-14,1) with slope -2. So, the point slope form of JK is
[tex]y-1=-2(x-(-14))[/tex]
[tex]y-1=-2(x+14)[/tex]
Therefore, the correct option is D.
Solve for X.
A. 10
B. 12
C. 15
D. 22
Answer:
B. 12Step-by-step explanation:
Since Z is midpoint of SR and Y is midpoint of QR, so as per triangle midpoint theorem ZY is parallel to SQ and measures half of its value:
SQ = 2ZY3x - 8 = 2(x + 2)3x - 8 = 2x + 43x - 2x = 4 + 8x = 12Correct answer choice is B
Answer:
the answer is B.12 ......
Rita rolled a die 25 times. Her results are shown in the table attached:
1. What is the experimental probability P(2)?
2. What is the experimental probability P(4)?
3. What is the experimental probability of rolling a 2 or a 3?
4. What is the experimental probability of rolling an even number?
5. What is the theoretical probability of rolling an even number?
6. Find the experimental probability P(1, 2, 3, 4, 5, 6).
7. Find the theoretical probability P(1, 2, 3, 4, 5, 6).
Answer:
I have the same questions and I got them right
Step-by-step explanation:
1.) P(2)=4/25
2.) P(4)= 5/25= 1/5
3.) P(2,3)=5/25= 1/5
4/25+1/25= 5/25= 1/5
4.) P(2,4,6)=16/25
4/25+ 5/25+ 7/25= 16/25
5.)There are three even numbers so, 3/6= 1/2. So, 1/2.
6.) P(1, 2, 3, 4, 5, 6)= 25/25 = 1
6/25+ 4/25+ 1/25+ 5/25+ 2/25+ 7/25= 25/25 = 1
P(1)= 6/25 P(2)= 4/25 P(3)= 1/25 P(4)= 5/25 P(5)= 2/25 P(6)= 7/25
Helppppppppppppp plzzzzzzzzzzzzzzzzzzzzzz
Answer:
These parallel lines cross 1 line. Because they are parallel they will form the same angles on that line. Therefore, x+50 = 3x-100 since those angles are corresponding angles made by a pair of parallels.
To find x we need to find what value of x gives the same answer for 3x-100 and x+50 since those 2 angles are equal.
x+50 = 3x-100 - now all we need to do is solve for x:
x+50 = 3x-100
50=2x-100
150=2x
75=x
x=75
Step-by-step explanation:
Joe drove 936 miles in 13 hours. At the same rate, how long would it take him to drive 504 miles?
Which is the best estimate of
11 1/5 and 2 3/4
I think your question lacks a little bit of information. After a little research, I am able to find that you probably wanted to say '11 1/5 divided by 2 3/4'.
Therefore, I am solving the question assuming that you want to say:
''What is the best estimate of 11 1/5 divided by 2 3/4''.
Answer:
The best estimate of 11 1/5 divided by 2 3/4 will be: 4
Step-by-step explanation:
Given the information
11 1/5 divided by 2 3/4
solving the expression
[tex]11\frac{1}{5}\div 2\frac{3}{4}[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]
so
[tex]11\frac{1}{5}=\frac{11\cdot 5+1}{5}=\frac{56}{5}[/tex][tex]2\frac{3}{4}=\frac{2\cdot 4+3}{4}=\frac{11}{4}[/tex]so the expression becomes
[tex]11\frac{1}{5}\div 2\frac{3}{4}\:=\frac{56}{5}\div \:\frac{11}{4}[/tex]
[tex]=\frac{56}{5}\times \frac{4}{11}[/tex]
[tex]=\frac{56\times \:4}{5\times \:11}[/tex]
[tex]=\frac{224}{5\times \:11}[/tex]
[tex]=\frac{224}{55}[/tex]
[tex]=4.07[/tex]
[tex]= 4[/tex] (Rounded to the nearest 1 or the Ones Place)
Therefore, the best estimate of 11 1/5 divided by 2 3/4 will be: 4
Given the figure above, if
Answer:
No solution
Step-by-step explanation:
This is incorrect, either figure itself or the angle measures
See the attached to understand it
As it is there is no solution
please can i have the asnwer !!
9514 1404 393
Answer:
(3, 2), (4, 0)
Step-by-step explanation:
Two integer grid points are crossed by the curve on or above the x-axis:
(x, y) = (3, 2), (4, 0).
Help! My friends needs help rlly bad
The answer to number 1 is 2/9 of her paycheck. The answer to number 2 is 3/5. Its square is 9/25 which is in between 1/3 and 1/2. It's reciprocal is 5/3 which is in between 1 and 2. It is also in simplest form.
a rectangular garage has a volume of 480m^3, with a length of 12m and the width 8m.
Answer:
5 m
Step-by-step explanation:
V = l × w × h
480 = 12 × 8 × h
h = 480 ÷ 96 = 5 m
Answer:
5m
Step-by-step explanation:
Well volume is V=Bh. So you do 12 times 8= 96 thats your base. So you need to them do 480 divided by 96 which equals 5 so therefore 5 is your answer. Also just to make sure that's the right answer, do 12 times 8 times 5. That equals 480.
If Granny Apples charge $12 for 6 pounds of apples and Wilson' Apples charges $15 for 5 pounds of apples then which apple company provides a better deal? Explain how you got your answer.
Given:
Granny Apples charge $12 for 6 pounds of apples.
Wilson' Apples charges $15 for 5 pounds of apples.
To find:
Which apple company provides a better deal.
Solution:
We need to compare unit price of both companies.
[tex]\text{Unit price}=\dfrac{\text{Total price}}{\text{Number of units}}[/tex]
Unit price of Granny Apples,
[tex]\text{Unit price}=\dfrac{\$12}{6}[/tex]
[tex]\text{Unit price}=\$2[/tex]
Unit price of Wilson Apples,
[tex]\text{Unit price}=\dfrac{\$15}{5}[/tex]
[tex]\text{Unit price}=\$3[/tex]
Since, per unit price of Granny Apples is less than Wilson Apples, therefore Granny Apples provides a better deal.
how many solutions to this problem
in my opinion i think there is twooo
Parallel lines m and n are intersected by transversal t. The measure of angle 1 in the diagram below is 112 degrees.
Which of the following angles also measure 112 degrees? select ALL that apply
A. Angle 2
B. Angle 3
C. Angle 4
D. Angle 5
E. Angle 6
F. Angle 7
Answer:
Step-by-step explanation:
The answer will be c if not then a
The value of the angles are ∠2 = 68, ∠4 = 68, and ∠3 = 112.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Supplementary angles are the angles having a sum of 180 degrees.
∠1 + ∠4 = 180
112 + ∠4 = 180
∠4 = 180 -112= 68°
Vertically opposite angles are always equal.
∠4 = ∠2
∠2 = 68
Vertically opposite angles are always equal.
∠1 = ∠3
∠3 = 112°
Therefore, the value of the angles are ∠2 = 68, ∠4 = 68, and ∠3 = 112.
To know more about lines and angles follow
https://brainly.com/question/24607467
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the diagonals of a rhombus are _____. A. perpendicular B. sometimes equal C. parallel D. never congruent
Answer:
The answer is perpendicular
Step-by-step explanation:
Hope i helped :)
A scientist used 786 milliliters of an liquid for an experiment. How many liquids of liter did the scientist to use for this experiment?
Answer:
0.786 L
Step-by-step explanation:
1000 ml to 1 L
(786 ml) / (1000 ml) = 0.786 L
0.786 L liquids of liter did the scientist to use for this experiment
What is division?Division is the process of splitting a number or an amount into equal parts.
here, we have,
A scientist used 786 milliliters of an liquid for an experiment.
we know,
1000 ml to 1 L
so, we get,
(786 ml) / (1000 ml) = 0.786 L
Hence, 0.786 L liquids of liter did the scientist to use for this experiment.
To learn more on division click:
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Seven students cut 5 and three-fourths inches of thread from a spool for a school project. What number represents the change in the amount of the thread on the spool?
Answer:
-40 1/4
Step-by-step explanation:
Answer: -40 1/4
Step-by-step explanation:
I need help fast!!!
A 1622 kg car has a speed of 11.3 m/s when
it hits a tree. The tree doesn't move and the
car comes to rest.
Find the change in kinetic energy of the car. .
Answer in units of J.
The change in kinetic energy of the car is -83439.06 joules.
How to find change in kinetic energy?The change in kinetic energy of an object is equal to the final kinetic energy minus the initial kinetic energy.
Since the car comes to rest after hitting the tree, its final kinetic energy is 0.
The initial kinetic energy of the car can be calculated using the formula KE = 1/2 m v², where KE is the kinetic energy, m is the mass of the object, and v is the velocity.
Plugging in the values, we get:
KE = 1/2 × 1622 kg × (11.3 m/s)²
KE = 1/2 × 1622 kg × 128.69 m²/s²
KE = 83439.06 kg m²/s²
To convert this value to joules, you can use the conversion factor 1 joule = 1 kg m²/s².
The change in kinetic energy of the car is equal to the final kinetic energy minus the initial kinetic energy, or 0 - 83439.06 kg m²/s² = -83439.06 kg m²/s².
Therefore, the car's kinetic energy dropped by -83439.06 joules.
To learn more about kinetic energy click here:
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Which statement about rational numbers is not correct? *
10 points
A) All rational numbers are also integers.
B) Zero is a rational number.
C) All integers are also rational numbers.
D) All rational numbers can be written in the form a/b.
Answer:
A) is not correct
Step-by-step explanation:
All rations numbers are not integers.
Integers = { ........ -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 ....................}
1/2 is a rational number but it is not an integer
Answer:
c
Step-by-step explanation:
hope this helps:)
Two years ago, Mr Singh was 7 times as old as his son. In 3 years' time, he will be 4 times as old as his son. Find Mr Singh's present age.
Answer:
37 years old.
Step-by-step explanation:
2 years ago
Singh- 7s
Son- s
3 years in the future(so 5 years forward)
Singh- 7s+5
Son- s+5
7s+5 = 4(s+5)
7s+5 = 4s+20
3s = 15
s=5
2 years ago the son was 5 so Mr. Singh was 35
Now Mr. Singh is 37
Which set of ordered pairs does not represent a function?
{(0,9),(-1,-2), (-5,2), (-3,0)}
{(0, -6),(-6,5), (4,5), (5,7)}
{(0,8),(-7, -1), (4,8), (1,5)}
{(4, -6), (9, – 7), (9,-4), (6,3)}
Answer:
{(4, -6), (9, – 7), (9,-4), (6,3)}
Step-by-step explanation:
It doesn't represnt a function because the 9 repeats twice
Fitta spends 25 minutes on his rowing machine everyday, except for the weekends. How long will Fitta spend on his rowing machine in four weeks? Give your answer in hours and minutes. *
Answer:
25×20×60 =30000
30000/60=500 hours
Answer:
8 hours and 20 minutes
Step-by-step explanation:
There are 5 days a week and Fitta spends 25 minutes each day.
25 x 5 = 125 minutes a week
125 x 4 = 500 minutes in 4 weeks
There are 60 minutes in an hour, so 500 divided by 60 = 8.3333
So the results are 8 hours and 20 minutes
Ahmya bought $10 shirt. Spent 1/2 remaining money for dinner. Bought $4cofee, spent 1/4 of remaining money on souveniers. How much did she start with?
Answer:
The amount she started with $20
Step-by-step explanation:
Let the amount Ahmya started with = x
when she bought $10 shirt, the remaining money is = x - 10
she spent half of this remaining money on dinner = [tex](\frac{x- 10}{2} )[/tex]
amount left after this = [tex](\frac{x- 10}{2} )[/tex]
she further spent $4 on cofee, the remaining money = [tex](\frac{x- 10}{2} )[/tex] - 4
she also spent 1/4 of remaining money on souveniers = [tex]\frac{1}{4}(\frac{x-10}{2} - 4)[/tex]
amount left = [tex]\frac{3}{4}(\frac{x-10}{2} - 4)[/tex]
The two last fractions should sum up to 1;
[tex]\frac{1}{4}(\frac{x-10}{2} - 4) + \frac{3}{4}(\frac{x-10}{2} - 4) = 1\\\\\frac{x-10}{8} -1 + \frac{3x-30}{8} -3= 1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 1+3+1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 5\\\\\frac{x-10 +3x-30}{8} = 5\\\\\frac{4x-40}{8} =5\\\\4x-40 =40\\\\4x =80\\\\x = 20[/tex]
x = $20
Therefore, the amount she started with $20
A sales representative for a large furniture warehouse is paid a commission rate of 5%. Find her commission if she sold $2,314,976 worth of furniture last year.
Answer:
Step-by-step explanation:
2,314,976*5%= $115,748.80
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (5 points)
3.46 units
8.49 units
12.00 units
72.00 units
Please ill give brainliest!
Answer: 8.49
Step-by-step explanation:
i took the test and it was right
Splitting the atom proved the equation E = MC 2 , which was formulated by the mathematician
Choose...
.Isaac Newton
.Kepler
.Aristotle
.Albert Einstein
9514 1404 393
Answer:
Albert Einstein
Step-by-step explanation:
Einstein formulated the special and general theories of relativity, completely revising the laws of physics that had been accepted up to that point in time. Among many results was the equation saying matter and energy are the same thing:
[tex]E = mc^2[/tex]
ASAP , I need helppppppp
someone help lolz..
ANSWER ASAP
540 students bought lunch in the cafeteria. If 45% of the students bought lunch in the cafeteria, how many students ate lunch altogether? The number of students who at lunch altogether is students.
Answer:1,200 students
Step-by-step explanation:
540/45=12=1%
12*100=1,200
Which of the following situations could be represented by the expression - 14+ (- 7)?
A Matt owes $14 to his mom and $7 to his friend.
Melissa made $14 at her job and spent $7 on lunch.
Rafique scored 14 points on Tuesday and 7 on Wednesday.
D
Katrina dove 14 feet down in the water and then went up 7 feet.
Answer:
Matt's
Step-by-step explanation:
he has to give away $14 (-14)
and also $7 (-7)
The others have positive numbers.
Please help show your work and 20 points.
Answer:
B. 439.82cm^2
Step-by-step explanation:
A=2[tex]\pi[/tex]rh +2[tex]\pi[/tex][tex]r^{2}[/tex]
A= 2[tex]\pi \\[/tex]5(9) + 2[tex]\pi[/tex][tex]5^{2}[/tex]
A=439.82 cm^2
Answer:
B. 439.82
Step-by-step explanation:
A=2πrh+2πr2
A=2(pi)(5)(9)+2(pi)(5) squared
A=282.74+152.07
A=439.8
-have a nice day