Answers
The coordinates of the midpoint between point E(2, -8) and point F(-12, -6) on segment EF is ( -5, -7 ).
How determine the midpoint between two point?A midpoint is simply a point that divides a line segment into two equal halves.
The midpoint formula is expressed as;
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
Given the data in the question;
Point E(2, -8)
x₁ = 2y₁ = -8F(-12, -6)
x₂ = -12y₂ = -6Coordinates of midpoint = ?
To determine the midpoint, plug the given points into the midpoint formula above and simplify.
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
M = ( ( 2 + (-12) )/2, ( (-8) + (-6) )/2 )
M = ( 2 - 12 )/2, ( -8 - 6 )/2 )
M = ( -10 )/2, ( -14 )/2 )
M = ( -5 ), ( -7 )
M = ( -5, -7 )
Therefore, the midpoint of line segment EF is ( -5, -7 ).
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Related Questions
How many miles does the car travel in 1.5 hours
Answers
Answer:
97 miles
Step-by-step explanation:
pls mark brainlest
Answer:
97 miles
Step-by-step explanation:
65 mph * 1.5 hours = 97 miles
Between 10 pm and 7:45 am the water level in a swimming pool decreased by 3/16 inches
Answers
The rate of change of the level of the swimming pool is -0.019 inches per hour.
How to get the rate of change in the level of the swimming pool?
The rate of change will be given by the quotient between the change in the level of the water (-3/16 inches) and the time in which that change happens.
We know that the change happens between 10 pm and 7:45pm, so the number of hours is:
2 hours + 7 hours + 45 min
Where:
1 hour = 60 min
45 min = 45/60 hours = 0.75 hour
Then the total time is:
2h + 7h + 0.75h = 9.75h
Then the rate of change is:
R = (-3/16 inches)/(9.75 h) = -0.019 inches per hour.
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Can someone explain how to do this to me!! Please thanks
Answers
Answer:
MP = 19
Step-by-step explanation:
MP = MN + NO + OP
we require to find OP and MN before we can evaluate MP
NO + OP = NP , that is
8 + OP = 15 ( subtract 8 from both sides )
OP = 7
and
MN + NO = M0 , that is
MN + 8 = 12 ( subtract 8 from both sides )
MN = 4
Then
MP = MN + NO + OP = 4 + 8 + 7 = 19
A(-3, 13), B(4, -15) Find the slope
Answers
m=-15-13/4-(-3)
m=-28/7
m=-4
Hope this helps
Multiply 3.2x and 4x.
12.8x2
7.2x2
12.8x
7.2x
Answers
Answer: 12.8x2
Step-by-step explanation:
Based on the given task content; the solution to the Multiplication of 3.2x and 4x is 12.8x².
The correct answer option is option a.
Multiplication of numbersThis is a process of computing the sum of a number with itself in a specified number of times. Multiplication is also called product and it is represented by the sigh ×. The product of a and b means ab.
For instance, from the task which is given above;
3.2x and 4x
= 3.2x × 4x
= 12.8x²
In this answer above,
12.8 is the coefficient and
x² is the variable.
In conclusion, 3.2x × 4x will give the result 12.8x².
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What is 4y - 9x + 3y - 2x when simplified?
Answers
Answer:
A. -11x + 7y
Step-by-step explanation:
4y - 9x + 3y - 2x
4y + 3y = 7y
-9x - 2x = -11x
-11x + 7y
I hope this helps!
What is the circumference of a circle with a radius of 14 feet using pie?
Answers
Answer:
Circumference 87.92 ft
Step-by-step explanation:
You have a radius of 14 so u multiply by 2 to get the diameter, then u mulptiply by pie (3.14) thats how u get the circumference.
14×2=28
28×3.14=87.92
brunette college offers 444 math classes, 222 science classes, 333 language classes, and 555 art classes. sylvia needs to sign up for exactly one class in each subject. how many different combinations of classes does sylvia have to choose from?
Answers
The total number of different combinations is 120.
What is combination and permutation?
Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.We are to find the number of different combinations of classes does Sylvia have to choose from.
We will be using the following formula for number of combinations of n elements taken r (r is less than or equal to n) at a time:
nCr = n!/r!( n - r )!
Since Sylvia needs to sign up for exactly one class in each subject, so the total number of different combinations from which she has to choose will be
⁴C₁ * ²C₁ * ³C₁ * ⁵C₁
= 4!/1!( 4 - 1 )! × 2!/1! ( 2 - 1 )! × 3!/1! ( 3 -1)! × 5!/1! ( 5 - 1 )!
= 4 × 2 × 3 × 5
= 120
Thus, the total number of different combinations is 120.
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In Exercises 5 and 6, use the translation (x,y) → (x + 1, y - 3) to find the image
of the given point.
5. Q(5,9)
6. M(-3,-8)
Answers
After using translation the image of the given points will be at Q( 6 , 6 ) and M( -2 , -11 ).
What is translation ?
The linear movement of a point relative to its initial position is known as translation. The horizontal position is labeled first and the vertical position is labeled second when describing a point's coordinates with respect to the origin of an x-y coordinate plane.
The translation is given to be (x,y) → (x + 1, y - 3)
The tow points are Q(5,9), M(-3,-8)
using translation we get,
Q( 5 , 9 ) → (5 + 1, 9 - 3) = Q( 6 , 6 )
M( -3 , -8 ) → (-3+ 1, -8- 3) = M( -2 , -11 )
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last month a manufacturing company shipped 452 boxes of ball bearings each box contains 48 ball bearings how many ball bearings sis the company ship last month
Answers
Answer:
answer is B
Step-by-step explanation:
Sorry if this is incorrect
i need help on this, thanks
Answers
Answer:
9
Step-by-step explanation:
Vertical angles are congruent, so:
[tex]16y=18y-18 \\ \\ -2y=-18 \\ \\ y=9[/tex]
What’s x-5=1
Please please please help
Answers
x = 1+5
6 (aka “x”) - 5 = 1
in the usa, the cost of a phone is $1200. in the uk a phone is £920. using the exchange rate £1 = $1.36, work out the difference in cost of the phones in the usa and the uk
Answers
The difference between of the cost of the phones in the USA and the UK is $51. 2
What is exchange rate?Exchange rate can be defined as the price of the unit of foreign currency in terms of the home currency.
It is also known as the rate at which a currency is exchanged to another currency
From the information given, we have that;
The cost of a phone in the USA is $1200The cost of a phone in the UK is £920We also have that;
The exchange rate is expressed as;
£1 = $1.36
Now, let's convert the cost from dollars to euros, we have;
If £1 = $1.36
Then, £920 = $x
cross multiply, we have;
x = 920 × 1. 36
x = $1251. 36
Now, let's find the difference between the cost in the USA and UK, we have;
= $1251. 36 - $1200
= $51. 2
Hence, the difference is $51. 2
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Bob purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Bob paid.
Answers
Answer:
Cost Function is:
c = 4n
Or, using n as a function variable, we write:
c(n) = 4n
Step-by-step explanation:
c represents total cost
n represents notebook
4 represents cost per notebook
PRACTICE Describe the domain and range of each function using inequality or set-builder notation.
Answers
In the picture there are 4 graphs.
1st graph we get domain as (-∞,+∞) and range as (-∞,+∞).
2nd graph we get domain as [-4,4] and range as [3,-1].
3rd graph we get domain as [-4,1] and range as [1,-4].
4th graph we get domain as (-∞,4] and range as (-∞,-2].
Given that,
In the picture there are 4 graphs.
We have to find the domain and range of the each function using inequality or set-builder notation.
A function's domain is the set of values that we are allowed to enter into our function.
This set consists of the values of the x-axis for a function like f. (x).
The range of values that can be used as input for a function is called this. The values in this set hence, once we input an x value, the function returns. The y values are those.
1st graph we get domain as (-∞,+∞) and range as (-∞,+∞).
2nd graph we get domain as [-4,4] and range as [3,-1].
3rd graph we get domain as [-4,1] and range as [1,-4].
4th graph we get domain as (-∞,4] and range as (-∞,-2].
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If A intersects B, B intersects C, C is parallel to D, and D intersects E, which is not true?
Answers
Following the descriptions of the relationship existing between the lines the option that is not true is the last option which is b || d which is read as b is parallel to d
What are parallel lines?Some set of lines are said to be parallel if the lines are equally spaced apart. This ensures that such line will never meet . Parallel lines is very useful in the field of geometry as it the foundation of many postulates and theorem.
Also, when two lines are being connected by a line. Say line x and line y and the connecting line is z. If the lines x and y makes similar angle with line z then line x and line y is said to be parallel.
Considering the descriptions given in the question. line b is tether perpendicular to line d. Hence saying that line b is parallel to line d is not true and the correct answer to the question.
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Final exam scores in a mathematics course are normally distributed with a mean of 71 and a standard deviation of 12. Fill in the missing information
Percentile: 99.87
Z-score: ?
Exam score: ?
Answers
Answer:
See below
Step-by-step explanation:
99.87-71 = 28.81 this is 28.81/12 = z-score = +2.4
corresponding to .9918 ( from z-score table) = a score of 99.18%
Conditional Statement: If the object has a remote, then it is a television.
Part A: Write the converse to the conditional statement.
Part B: Write a biconditional statement from the conditional statement.
Part C: Validate the biconditional statement from Part B. Use details to support your answer.
Answers
For given conditional statement 'If the object has a remote, then it is a television.'
Part A: converse to the conditional statement
'If it is a television, then the object has a remote.'
Part B: a biconditional statement
'The object has a remote if and only if it is a television.'
Part C: validation of biconditional statement
The biconditional statement is true because the conditional statement and the converse are true.
In this question, we have been given a conditional statement: 'If the object has a remote, then it is a television.'
Part A:
We need to write the converse to the conditional statement.
The converse of given conditional statement would be:
'If it is a television, then the object has a remote.'
Part B:
We need to write a biconditional statement from the conditional statement.
A biconditional statement of the given conditional statement would be:
'The object has a remote if and only if it is a television.'
Part C:
We need to validate the above biconditional statement.
The biconditional statement is true because the conditional statement and the converse are true.
Therefore, for given conditional statement 'If the object has a remote, then it is a television.'
Part A: converse to the conditional statement
'If it is a television, then the object has a remote.'
Part B: a biconditional statement
'The object has a remote if and only if it is a television.'
Part C: validation of biconditional statement
The biconditional statement is true because the conditional statement and the converse are true.
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20 pointsssss
HELPPPPPPPPP
Answers
The coordinates of the point X are (1 + 2, 6 - 1.25) = (3,4.75).
The segments, PX and XQ, have lengths in a ratio of 1: 2.
What is meant by partition segment?A line segment is partitioned when it is divided into equal parts according to a specified ratio. The total number of partitions of the line segment must be equal to the sum of the two values in the ratio.
Suppose you have a line segment PQ on the coordinate plane, and you need to estimate the point on the segment 1/3 of the way from P to Q.
Where P exists at the origin and line segment is a horizontal one.
The length of the line exists 6 units and the point on the segment 1/3 of the way from P to Q would be 2 units away from P, 4 units away from Q and would be at (2, 0).
The segment exists not a horizontal or vertical line:
The components of the directed segment PQ exists (6, 3) and we require to estimate the point, say X on the segment 1/3 of the way from P to Q. Then, the components of the segment PX exists [tex]$\left\langle\left(\frac{1}{3}\right)(6),\left(\frac{1}{3}\right)(3)\right\rangle=\langle 2,1\rangle$[/tex].
Since the initial point of the segment exists at origin, the coordinates of the point X exists given by (0+2, 0+1) = (2, 1).
where neither P nor Q exists at the origin.
Use the end points of the segment PQ to estimate the components of the directed segment.
[tex]$\left\langle\left(x_2-x_1\right),\left(y_2-y_1\right)\right\rangle=\langle(7-1),(2-6)\rangle[/tex]
= (6,-4)
The components of the segment PX where X exists a point on the segment 1 / 3 of the way from P to Q are
[tex]$\left\langle\left(\frac{1}{3}\right)(6),\left(\frac{1}{3}\right)(-4)\right\rangle=(2,-1.25)$$[/tex]
To estimate the coordinates of the point X add the components of the segment PX to the coordinates of the initial point P.
Therefore, the coordinates of the point X exists (1+2,6-1.25) = (3, 4.75).
The segments, PX and XQ, have lengths in a ratio of 1: 2.
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Line AB is a straight
line.
9
1. m∠AOB = ____
Statement
1. ________
Reason
2. m∠AOE+m∠EOF+m∠FOB=m∠____ 2. ________
3. x + ____ +20° = ____ 3. Substitution
4. x = ____ 4. Algebra
Answers
The two column proof of the given angles are;
Statement 1; m∠AOB = 180°
Reason 1; Sum of angles on a straight line sums up to 180°
Statement 2; m∠AOE + m∠EOF + m∠FOB = m∠AOB
Reason 2; Opposite angles
Statement 3; x + 3x + x + 12 = 152
Statement 3; Substitution
Statement 4; x = 28°
Reason 4; Algebra
How to solve two column proof?From the attached image, we can complete the two column proof as follows;
Statement 1; m∠AOB = 180°
Reason 1; Sum of angles on a straight line sums up to 180°
Statement 2; m∠AOE + m∠EOF + m∠FOB = m∠AOB
Reason 2; Opposite angles
Statement 3; x + 3x + x + 12 = 152
Statement 3; Substitution
From statement 3, we can use algebra to find x as;
x + 3x + x + 12 = 152
5x + 12 = 152
5x = 152 - 12
5x = 140
x = 28°
Thus;
Statement 4; x = 28°
Reason 4; Algebra
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PLEASE PLEASE PLEASE HELP DUE IN AN HOUR I WILL GIVE BRAINLIEST IF YOU ANSWER SHOW WORK HELPPPP ME THANK YOUU
Answers
The mean of the number of hours spent watching television is 15.75
The mean absolute deviation of the number of hours spent watching television is 6.625.
What is the mean and mean absolute deviation?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(10 + 11 + 22 + 7 + 17 + 17 + 20 + 31 + 0 + 12 + 19 + 23) / 12 = 189/12 = 15.75
Mean absolute deviation is the average of the sum of the absolute difference between the numbers and the mean.
MAD = 1/n ∑ l x - m(x) l
(|10 - 15.75) + |11 - 15.75| + |22 - 15.75| + |7 - 15.75| + |17 - 15.75|+ |17 - 15.75| + |20 - 15.75| + |31 - 15.75| + |0 - 15.75| + |12 - 15.75| + |19 - 15.75| + |23 - 15.75|
= (5.75 + 6.75 + 6.25 + 8.75 + 1.25 + 1.25 + 4.25 + 15.25 + 15.75 + 3.75 + 3.25 + 7.25) / 12 = 6.625
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round 38.4561 to 2 dp
Answers
Answer: 38.46
Step-by-step explanation:
↓
38.456 It means round by 0.05, so when you round you look at the place value after the specified digit.
Vincent made a 2000 deposit into an account on august1 that yields 2% interest compounded annually. How much money will be in that account at the end of 5 years
Answers
The money in the account at the end of 5 years is 2208.16
Compound interestThe formula for calculating the compound interest is expressed according to the formula:
Compound interest = P(1+r)^t
Given the following parameters
Principal = 2000
rate = 2 % = 0.02
time = 5 years
Substitute
A = 2000(1+0.02)^5
A = 2000(1.02)^5
A = 2208.16
Hence the amount of money that will be in that account at the end of 5 years is 2208.16
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Keiko's penny bank is 1/6
full. After she adds 320 pennies, 1/2 it is full. How many pennies can Keiko's bank hold?
Answers
Answer: 960
Step-by-step explanation:
Let the number of pennies Keiko's bank hold be x
Now, According to the question,
[tex]\frac{1}{6} \times x+320=\frac{1}{2} \times x[/tex]
⇒ [tex]\frac{1}{6} \times x+320=\frac{x}{2}[/tex]
⇒ [tex]\frac{(x+1960)}{6}=\frac{x}{2}[/tex]
⇒ 2(x + 1920) = 6x
⇒ 2x + 3840 = 6x
⇒ 6x - 2x = 3840
⇒ 4x = 3840
⇒ [tex]x = \frac{3840}{4}[/tex]
⇒ x = 960
Hence, the total number of pennies Keiko's bank hold = 960.
A line passes through the points (−6, −3) and (6, −3). Which of the following points is also on the line? A. (−3, 0) B. (6, 0) C. (0, −3) D. (−6, 0)
Answers
Answer:
C
Step-by-step explanation:
Since the y-coordinates of both points are -3, the equation is [tex]y=-3[/tex].
The only option with a y-coordinate of -3 is option C.
Kali just started a new sales floor job to save for college. She earns $15.75 per hour plus a flat fee of $50 per week. She wants to earn between $200 and $400 per week. The following inequality represents her earning potential: 200 ≤ 15.75x + 50 ≤ 400 Solve the inequality.
Answers
The solution set of the given inequality is:
9.52 ≤ x ≤ 22.22
Or [9.52, 22.22] if we write this as an interval.
How to solve the inequality?Here we have the inequality:
200 ≤ 15.75x + 50 ≤ 400
Which represents Kali's earning potential.
To solve the inequality we need to isolate the variable in the middle, if we subtract 50 in the 3 sides we get:
200 - 50 ≤ 15.75x + 50 - 50 ≤ 400 - 50
150 ≤ 15.75x ≤ 350
Now we need to divide both all by 15.75, so we get:
150/15.75 ≤ 15.75x/15.75 ≤ 350/15.75
9.52 ≤ x ≤ 22.22
This is the solution of the inequality, the solution set written as an interval will be [9.52, 22.22]
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i need help with this, thanks
Answers
Answer:
151, 29, 151
Step-by-step explanation:
[tex]m\angle 2=29^{\circ}[/tex] (vertical angles)
[tex]m\angle 1=m\angle 3=151^{\circ}[/tex] (linear pair)
Answer:
[tex]m \angle 1= \boxed{159}\;^{\circ}\\\\m \angle 2= \boxed{21}\;^{\circ}\\\\m \angle 4= \boxed{21}\;^{\circ}[/tex]
Step-by-step explanation:
Angles on a straight line sum to 180°.
⇒ m∠3 + m∠4 = 180°
⇒ 159° + m∠4 = 180°
⇒ m∠4 = 21°
Vertical Angle Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Applying the Vertical Angle Theorem:
m∠1 = m∠3 = 159°m∠2 = m∠4 = 21°In triangle OPQ, m/O = (2x - 5)°, m/P = (3x − 8)°, and m/Q = (10x - 17)°. What is the value of x?
Answers
The value of x is 14 °
What is angle sum property of triangle?The sum of the interior angles in a triangle is supplementary. In other words, the sum of the measure of the interior angles of a triangle equals 180°. So, the formula of the triangle sum theorem can be written as, for a triangle ABC, we have ∠A + ∠B + ∠C = 180°.
In ΔOPQ,
∠O = (2x- 5)°
∠P = (3x-8)°
∠Q= (10x- 17)°
Thus by angle sum property of triangle we know:
∠O+ ∠P + ∠Q = 180
thus 2x - 5 + 3x - 8 + 10x - 17 = 180
15x - 30 = 180
= 15 x = 180 + 30
= 15 x = 210
= x= 210 / 15
= x = 14 .
Thus ∠O = (2x- 5)° = 2X 14 - 5 = 23 °
∠P = (3x-8)° = 3× 14 - 8 = 44°
∠Q= (10x- 17)° = 10 × 14 - 17 = 123°
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Write an inequality that represents the fact that while making your product you can’t exceed this spending limit.
I'm making figures for $100 and selling them for $150, my spending limit is $200
Answers
The inequality which correctly represents the fact that the spending limit cannot be exceeded as described in the task content is; 100x ≤ 200.
Which inequality represents the fact that the spending limit cannot be exceeded?It follows from the task content that the inequality which correctly represents the spending limit as described be determined.
Since the given spending limit is; $200.
Let, x = the number of figures made.
Therefore, the cost of making x number of figures can be written algebraically as; 100x.
Hence, since it costs $100 to make each figure, it follows that the required inequality is;
100x ≤ 200.
This follows from the fact that each figure costs $100 to make.
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Work out the circumference of this circle. Take n to be 3.142 and write down all the digits given by your calculator. 10 cm
Answers
The circumference of the circle will be given by 62.84 cm.
A circle is a closed figure having a fixed point known as center of the circle and the distance from the center to any point on the boundary of circle is known as the radius of the circle. Circumference is the total length of the boundary of the circle. The circumference of the circle is given by the formula
C = 2πr where r is the radius of the circle and the value of π is given as 3.142.
Now, according to question r = 10cm
C = 2×3.142×10
C = 20×3.142
=> C = 62.84 cm
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