what’s the midpoint of (1,-6) and (8,5)
Answers
Answer:
The midpoint is (4.5,-.5)
Step-by-step explanation:
The x coordinate of the midpoint is the sum of the x coordinate divided by 2
(1+8)/2 = 9/2 = 4.5
The y coordinate of the midpoint is the sum of the y coordinate divided by 2
(-6+5)/2 = -1/2 = -.5
The midpoint is (4.5,-.5)
Related Questions
What is the length of UJ?
Answers
Answer:
the answer is 32
Step-by-step explanation:
divide 64 by 2 to get half of it which is 32 because UJ is half of KJ
hope it helps!!
The position vectors of points C and D are 2i + 37 and 7i + 5i respectively. Find the position vector of a point H which divides the line PQ in the ratio of 2: 3.
Answers
Answer:
Step-by-step explanation:
Let P be the point C with position vector 2i + 3j and Q be the point D with position vector 7i + 5j. We want to find the position vector of point H which divides PQ in the ratio 2:3.
Let the position vector of point H be r. Then we have:
PH/PQ = 2/3
(P - r)/(Q - r) = 2/3
Multiplying both sides by (Q - r), we get:
P - r = (2/3)(Q - r)
Expanding the brackets and rearranging, we get:
r = (2Q + 3P)/5
Substituting the position vectors of P and Q, we get:
r = (2(7i + 5j) + 3(2i + 3j))/5
= (14i + 10j + 6i + 9j)/5
= (20i + 19j)/5
= 4i + 3.8j
Therefore, the position vector of point H is 4i + 3.8j.
Which answers are examples of deductive reasoning?
Select each correct answer.
Answers
Answer:
Felix knows that everything that fits in his bookbag will fit in his suitcase. His laptop fits in his bookbag, so he concludes that the laptop will fit in his suitcase.
The school’s schedule states that lunch period is from 12 p.m. to 1 p.m. Eric concludes that it is after 12:00 p.m. because it is currently the lunch period.
Step-by-step explanation:
What is the area of the shaded region? A. 21mm B. 24 mm C. 42 mm D. 48 mm
Answers
Answer:
Can i see a pic of the shaded part?
Step-by-step explanation:
what is a+c+b+a+b+c+b+c?
Answers
Answer:
It's 2a + 3b + 3c :)
Answer:
a²+b³+c³
Step-by-step explanation:
a+a+b+b+b+c+c+c
#3 Find the r and the surface area
Answers
Answer:
r will be half of your diameter so 11 divided by 2 = 5.5 is your new radius.
To find surface area we use the basic formula:
4πr^2
4 x 3.14 x 30.25(radius squared, 5.5 x 5.5 = 30.25) = 379.94 ft^2 is your surface area
A man bought a car for ¢5.5 million and sold it for ¢6.5 million. Find the percentage gain.
Answers
Answer:
Around 18% increase
Step-by-step explanation:
Formula for percentage gain: final value-original value/original value
PG= 6,500,000-5,500,000/5,500,000
PG= 1,000,000/5,500,000
PG= 0.18181818
around 18%
Please answer this question asap
Answers
Answer:
I believe that the answer is 'C. 9d+2c+3t'.
Step-by-step explanation:
I hope this was helpful, have a blessed day.
Mr. And Mrs. King's Regular Tax Liability On Their Joint Return Was $479,580. Which Of The Following Statements Is True?
Multiple Choice
a. A. if the King's tentative minimum tax is $462, 220, their total tax liability is $462,220.
b. if the King's tentative minimum tax is $462,220, their total tax liability is $479,580.
c. if the King's tentative minimum tax is $492,350, their total tax liability is $492, 350.
d. Both B and C are true
Answers
The statement "if the King's tentative minimum tax is $462,220, their total tax liability is $479,580" (option B) is true.
The King's regular tax liability on their joint return is $479,580. The tentative minimum tax refers to an alternative method of calculating taxes that can be higher than the regular tax liability.
Option A states that if the King's tentative minimum tax is $462,220, their total tax liability is $462,220. This is incorrect because the regular tax liability is already stated as $479,580, which is higher than $462,220.
Option B states that if the King's tentative minimum tax is $462,220, their total tax liability is $479,580. This statement is true because the regular tax liability of $479,580 is higher than the tentative minimum tax
Option C states that if the King's tentative minimum tax is $492,350, their total tax liability is $492,350. This is incorrect because the regular tax liability is stated as $479,580, not $492,350.
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Find the slope and y-intercept of the line. y = x – 8
Answers
Answer:
y- intercept= -8
slope= 1
Step-by-step explanation:
Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.
Answer:
Y-intercept = -8
Slope = 1
Step-by-step explanation:
The Y-intercept is the constant or the integer in the equation.
So, the y-intercept is "-8".
The slope is the number with which "x" is multiplied with.
So, the slope is 1, because 'x' and '1x' are similar; therefore the slope is 1.
HELP!! Can someone solve this logarithmic equation?
log(x+2)+log(x+1)=log3+4
Answers
Answer:
We can solve this logarithmic equation by using the properties of logarithms.
log(x+2) + log(x+1) = log3 + 4
Combining the logarithmic terms on the left side using the product rule of logarithms, we get:
log[(x+2)(x+1)] = log(3) + 4
Simplifying the right side using the rule that log(a) + b = log(a * 10^b), we get:
log[(x+2)(x+1)] = log(3 * 10^4)
Using the fact that log(a) = log(b) if and only if a = b, we can drop the logarithms on both sides to get:
(x+2)(x+1) = 30000
Expanding the left side and rearranging the terms, we get a quadratic equation:
x^2 + 3x - 29997 = 0
We can solve for x using the quadratic formula:
x = (-3 ± √(3^2 - 4(1)(-29997))) / (2(1))
x = (-3 ± 547.61) / 2
Therefore, x is approximately -29950.81 or 99.81.
However, we must check our solutions to ensure that they satisfy the original equation. We cannot take the logarithm of a negative number or zero, so the solution x = -29950.81 is extraneous. Therefore, the only solution that satisfies the original equation is x = 99.81.
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Mr. Thornton moves horses from one stable to another using a trailer. The trailer can
hold no more than four horses, and it can support no more than a total of 4500
pounds.
Mr. Thornton loads his trailer with three horses that weigh 890 pounds, 1250 pounds,
and 940 pounds. He wants to load a fourth horse in his trailer.
Using w to represent the weight of the fourth horse, write an inequality to express
how many pounds the fourth horse could weigh. Use a number line to show all the
possible solutions in this real-world situation.
Explain in detail how you determined the possible weights of the fourth horse.
Answers
The inequality is 3,080 + w <= 4500. and we have explained the possible weights of the fourth horse.
What is inequality?
Inequality is a mathematical statement that compares two values or expressions and shows the relationship between them. It is used to express that one value is either greater than, less than, greater than or equal to, or less than or equal to another value. Inequalities can be represented using symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), ≠ (not equal to).
We know that Mr. Thornton has already loaded three horses into his trailer with the following weights: 890 pounds, 1250 pounds, and 940 pounds. To load a fourth horse, we need to know the total weight of the trailer and the horses.
Total weight of the trailer = 890 + 1250 + 940 = 3,080 pounds
The trailer can support no more than 4500 pounds, so we need to make sure that the total weight of the trailer and the fourth horse does not exceed 4500 pounds.
Therefore, we can write the inequality:
3,080 + w <= 4500
This inequality tells us that the total weight of the trailer and the fourth horse (3,080 + w) must be less than or equal to 4500 pounds.
To graph the solutions of this inequality on a number line, we can start by plotting point 4500 on the number line. Since the inequality contains the "less than or equal to" sign, we need to shade everything to the left of 4500, including 4500.
The solutions to this inequality are all possible weights of the fourth horse that would not cause the total weight of the trailer and the horses to exceed 4500 pounds. The solutions are all real numbers between 0 and 420.
It's worth mentioning that the solution set is an interval [0,420] and it includes 0, but not 420. It means that the horse can weight 0 pounds (which is not possible) but it can't weight 420 pounds since it would exceed the maximum weight that the trailer can support.
Hence, the inequality is 3,080 + w <= 4500. and we have explained the possible weights of the fourth horse.
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4+8divided by2x(6-3)
Answers
Answer:
2
Step-by-step explanation:
for brainly and points thank you
dont mind the thing i clicked it was by mistake
Answers
Answer:
C) x = 1
Step-by-step explanation:
By adding the like terms you get
-12x + 10 = -10x + 8
then you add 12x to both sides and subtract 8 to both sides and get
2 = 2x
which then you would divide 2 by 2 and get 1
write a rule for the nth term of geometric sequence a1= 3 and r= 1/2
Answers
The formula for the n-th term is:
aₙ = 3*(1/2)⁽ⁿ⁻¹⁾
How to find the rule for the n-th term?For a geometric sequence where the first term is a₁ and the common ratio is r, the formula for the n-th term is:
aₙ = a₁*(r)⁽ⁿ⁻¹⁾
Here we know that the first term is a₁ = 3 and the common ratio is r = 1/2.
Then the formula for the n-th term of the sequence is:
aₙ = 3*(1/2)⁽ⁿ⁻¹⁾
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On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.
Answers
Answer:
Step-by-step explanation:
Sp of an article= Rs 2300
profit%=15%
let Cost Price of an article be X
SP=CP+PROFIT %*CP
2300=X+15/100*X
2300=100X+15X/100
2300*100=115X
230000/115=X
2000=X
Therefore cost price of an article is Rs 2000.
Elena and her best friend found some money in an envelope. They split the money evenly, each getting $25. How much money did they find? Write and solve the equation for this probl
Answers
2(25)=50
wait do you need to use x?
Tommy's weekly pay is directly proportional to the number of hours he works at the movie theater. His pay is $189 for 21 hours. Find the amount of pay for 40 hours of work.
Answers
We need to find the amount Tommy is paid per hour. This is simple:
r = 189/21
r = 9
Now, to find the amount he is paid, the equation is as follows:
y = rx
For 40 hours, the equation is:
y = 9(40)
y = 360
Answer:
Step-by-step explanation:
r = 189/21
r = 9
Now, to find the amount he is paid, the equation is as follows:
y = rx
For 40 hours, the equation is:
y = 9(40)
y = 360
Triangle ABC is formed by two parallel lines and two other intersecting lines.
Find the measure of each angle A, B, and C of the triangle.
STEP ONE: Use what you know about vertical angles to find angle C
C =
HINT: angle C is vertical to an angle of 47 degrees.
STEP TWO: Use what you now about linear angles to find angle B.
B =
HINT: 61 + 47 plus angle B must equal 180 degrees
STEP THREE: Now that you know angles B and C, use what you know about missing angles in triangles to find angle A.
A =
HINT: angle A + angle B + angle C = 180 degrees
Answers
Step 1: Find angle C
Vertical angles are congruent. Angle C and the lower right angle measuring 47 degrees are vertical angles. Therefore angle C = 47 degrees.
Step 2: Find angle B
Angle B, the upper right 47 degree angle, and 61 degree angle all form a straight line. A straight line is 180 degrees.
B + 47 + 61 = 180
B + 108 = 180
B = 72 degrees
Step 3: Find angle A
The sum of the interior angles of a triangle is 180 degrees. The sum of angles a, b, and c will be 180 degrees.
A + B + C = 180
A + 72 + 47 = 180
A + 119 = 180
A = 61 degrees
Answers:
A = 61 degrees
B = 72 degrees
C = 47 degrees
Hope this helps!
CC has the following beginning balances in its stockholders' equity accounts on January 1, 2012: Common Stock, $100,000; Additional Paid-in Capital, $4,100,000; and Retained Earnings, $3,000,000. Net income for the year ended December 31, 2012, is $800,000. Court Casuals has the following transactions affecting stockholders' equity in 2012:
May 18 Issues 25,000 additional shares of $1 par value common stock for $40 per share.
May 31 Repurchases 5,000 shares of treasury stock for $45 per share.
July 1 Declares a cash dividend of $1 per share to all stockholders of record on July 15. Hint: Dividends are not paid on treasury stock.
July 31 Pays the cash dividend declared on July 1.
August 10 Reissues 2,500 shares of treasury stock purchased on May 31 for $48 per share.
Taking into consideration all the entries described above, prepare the statement of stockholders' equity for the year ended December 31, 2012.
Answers
Total stockholders’ equity 7,800,000
Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000
Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000
Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000
To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.
The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.
Calculations:Opening balance of common stock = $100,000
Opening balance of additional paid-in capital = $4,100,000
Opening balance of retained earnings = $3,000,000
Net Income for the year ended December 31, 2012 = $800,000
Retained earnings (Opening Balance) = $3,000,000
Add: Net Income for the year ended December 31, 2012 = $800,000
Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000
Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000
Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
Calculate the price per 72 rolls for each shop.
Write which shop is the best value for money in the comment box.
Answers
Answer:
Oldi is best value
Step-by-step explanation:
Lidal
8 rolls for £3.76
72 rolls for £3.76*9= £33.84
Oldi
9 rolls for £4.14
72 rolls for £4.14*8= £33.12
Oldi offers better price for 72 rolls
Gillian, Laali and Freddie collect shells on a
beach.
They decide to share the shells between
them in the ratio 3 : 6 : 2.
If Laali and Freddie have 88 shells between
them, how many shells does Gillian have?
Answers
The number of shell Gillian have is 33 shells.
How to find ratio?Gillian, Laali and Freddie collect shells on a beach. They decide to share the shells between them in the ratio 3 : 6 : 2. Laali and Freddie have 88 shells between them.
Therefore, the number of shells Gillian is as follows:
Let
x = total shell
3 / 11 × x = x - 88
3x / 11 = x - 88
cross multiply
11x - 968 = 3x
8x = 968
x = 121
Therefore,
Gillian have 121 - 88 = 33 shells
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how can you see immediately that two integers add up to 1?
Answers
The numbers have absolute values that differ by 1, and the number with the larger absolute value is positive.
A globe company currently manufactures a globe that is 16 inches in diameter. if the dimensions of the globe were reduced by half, what would its volume be? use 3.14 for π and round your answer to the nearest tenth. 682.7 in3 2143.6 in3 85.3 in3 267.9 in3
Answers
If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be 267.9 in³.
What is volume ?
The volume of an object is a measure of the amount of space occupied by that object.
Here given that originally diameter was 16 inches but then dimensions of the globe was reduced by half
The new diameter is equal to
D = 16 / 2 = 8 in
Hence radius is equal to
r = 8/2 = 4 in
The volume of the reduced globe is
\(V = \frac{4}{3} \pi r^{3}\)
\(V= \frac{4}{3} (3.14) (4)^{3}\) = 267.9 in³
f dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be 267.9 in³
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Alexandra and her mother are planting a rectangular garden. In the middle of the garden they will plant the vegetables and they will plant flowers around vegetable garden, as shown below.
If the area around the vegetable garden is of uniform width (labeled with x) and the dimensions of the vegetable garden is 45 feet by 20 feet, what expression represents the area of the flower garden?
Make sure to show all of your steps in your answer, including the area of the vegetable garden and the area of the entire garden.
Answers
The expression for the area of the flower garden is (45+2x)(20+2x) - 900.
How to solveArea of vegetable garden:
\(A_v = 45 ft * 20 ft\) = 900 sq ft
Dimensions of entire garden:
Length = 45 ft + 2x
Width = 20 ft + 2x
Area of entire garden:
\(A_e = (45+2x)(20+2x)\)
Area of flower garden:
\(A_f = A_e - A_v = (45+2x)(20+2x) - 900 sq ft\)
So, the expression for the area of the flower garden is (45+2x)(20+2x) - 900.
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7. Find the value of w in the regular heptagon
whose interior angle has a measure of
(w + 8). Round your answer to the nearest
hundredth.
Answers
Answer: 96
The sum of the interior angles of a regular heptagon is equal to (n-2)180 degrees, where n is the number of sides of the polygon.
Since a regular heptagon has 7 sides, the sum of its interior angles is (7-2)180 = 720 degrees.
Therefore, the measure of each interior angle is 720 degrees / 7 = 104 degrees.
If the measure of an interior angle is (w + 8) degrees, then w + 8 = 104.
Solving for w, we get w = 96.
Will give brainliest please help
Write an expression in Simplest form for the perimeter of tha figure.
Answers
Answer:
6a + 2
Step-by-step explanation:
a + 3a - 1 + 2a + 3
6a - 1 + 3
6a + 2
I need please If you don't know the answer then don't answer will mark brainleyest if right
Answers
The function is nonlinear
Answer:
nonlinear
Step-by-step explanation:
1. A wife works three days then a day off while his husband works five days then a day off. If the couple has a day-off together today, how many days after will they have another day off together?
2. The weight W of an object above the earth varies inversely as the square of the distance D from the center of the earth. If a man weighs 180 pound on the surface of the earth, what would his weight be at an altitude 1000 miles? Assume the radius of the earth to be 4000 miles
3. Two turtles A and B start at the same time move towards each other at a distance of 150 m. The rate of turtle A is 10 m/s while that B is 20 m/s. A fly flies from one turtle to another at the same time that the turtles start to move toward its each other. The rate of the fly is constant at 100 m/s. determine the total distance traveled by the fly until the two turtles met?
Answers
1). 15 days
2). 115.2 pounds.
3). 500 meters
1. To find out when the couple will have another day off together, we need to find the least common multiple (LCM) of their work schedules. The LCM of 3 and 5 is 15, so the couple will have another day off together after 15 days.
2. The weight W of an object above the earth varies inversely as the square of the distance D from the center of the earth.
This means that W = k/D^2, where k is a constant.
To find k, we can plug in the values given in the question: 180 = k/4000^2.
Solving for k gives us k = 180*4000^2 = 2880000000. Now we can plug in the new distance, 4000 + 1000 = 5000 miles, to
find the new weight: W = 2880000000/5000^2 = 115.2 pounds.
3. To find the total distance traveled by the fly, we need to find out how long it takes for the turtles to meet.
The combined rate of the turtles is 10 + 20 = 30 m/s, so it will take them 150/30 = 5 seconds to meet.
The fly travels at a constant rate of 100 m/s, so in 5 seconds it will have traveled 100*5 = 500 meters.
Therefore, the total distance traveled by the fly is 500 meters.
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what does scott omit from his analysis that irwin argues is a necessary component of a full accounting impact of a trade deficit on american jobs?
Answers
Scott's analysis of the impact of trade deficits on American jobs fails to consider the macroeconomic effects of trade deficits on domestic employment.
Irwin argues that Scott's analysis is incomplete as it ignores the long-term impact of trade deficits on employment. Scott's analysis is limited to looking at the short-term effect of trade deficits on the number of jobs lost or gained in certain industries.
He argues that trade deficits do not necessarily lead to a net loss of jobs in the economy, as the money saved by consumers through lower prices can be spent elsewhere, creating new jobs in other sectors.
However, Irwin argues that this analysis misses the bigger picture. Irwin suggests that trade deficits can lead to a long-term decline in the manufacturing sector, which can have significant negative consequences for domestic employment. Trade deficits can lead to a decrease in demand for domestically produced goods, as foreign competitors offer lower-priced alternatives. This can lead to a reduction in domestic production and employment in the affected industries.
Furthermore, Irwin argues that trade deficits can have a negative impact on the economy as a whole. Trade deficits can lead to a decrease in the value of the dollar, which can increase inflation and reduce consumer purchasing power. This, in turn, can lead to a decrease in demand for goods and services, which can negatively impact employment across multiple sectors.
In conclusion, Scott's analysis of the impact of trade deficits on American jobs is incomplete, as it fails to consider the long-term macroeconomic effects of trade deficits on domestic employment. Irwin argues that a full accounting of the impact of trade deficits on American jobs must take into account the potential negative consequences on the manufacturing sector and the economy as a whole.
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