The midpoint of a line segment means a point that lies in the mid of the given line segment. The coordinates of point B are (7, -4).
What are the coordinates of the midpoint of the line segment AB?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment. Suppose we've two endpoints of a line segment:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
Given that the midpoint of AB is M whose coordinates can be written as,
The x-coordinate of point B,
[tex]x_m = \dfrac{(x_A + x_B)}{2}[/tex]
[tex]5 = \dfrac{(3 + x_B)}{2}[/tex]
10 = 3 + x
x = 10 - 3
x = 7
The y-coordinate of point B,
[tex]y_m = \dfrac{(y_A + y_B)}{2}[/tex]
[tex]1 = \dfrac{(6 + y_B)}{2}[/tex]
2 = 6 + y
y = 2 - 6
y = -4
Hence, the coordinates of point B are (7, -4).
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whats the answer thanks
Answer:
3
Step-by-step explanation:
closed circle=equal to
convert 4.5m to kilometers
Answer:
0.0045 km or 4.5×10^-3 km
Step-by-step explanation:
Find the distance between the points A(-2, 3) and B(4, 11)
Answer:
10
Step-by-step explanation:
square root (y2-y1)^2+(x2+x1)^2
square root (11- 3)^2 + (4- -2)
=10
What output corresponds with I2?
Answer:
Solve for the input that corresponds to the given output value. (Round answers to three decimal places when appropriate. Enter your answers as a comma-separated list. Note: Even though the question may be completed without the use of technology, the authors intend for you to complete the activity using the technology you will be using.
Step-by-step explanation:
Evaluate the expression 3x - 8 when x = 2
Someone help me
Answer:
-2
Step-by-step explanation:
3x - 8
Let x=2
3*2 -8
6-8
-2
Answer:
6-8 = -2
Step-by-step explanation:
3 x if x equals 2 then 3 times 2 is 6. 6 minus 8 is -2!
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If a package of hot dogs cost 2.98 and a package of hot dog buns cost 2.16 what was the total expense?
Answer:
5.14$
Step-by-step explanation:
2.98$ +2.16$ = 5.14$
1.BINOMIAL: A POLYMOMIAL WITH EXACTLY..................... TERMS
2. TRINOMIAL: A POLYMOMIAL WITH EXACTLY......................... TERMS
3. COEFFICIENT: A............. IN A TERM OF AN ALGEBRAIC EXPRESSION.
WILL MARK BRAINLIEST IF RIGHT ALG2
Please helpp!! What are the steps for using a compass and straightedge to construct the bisector of ∠G? Two rays share a common endpoint labeled G, forming an obtuse angle. One ray is horizontal and points right. The second ray is inclined to horizontal in upward-left direction. Drag the steps and drop them in order from start to finish.
Answer:
Use the straightedge to draw GK−→−. Place the point of the compass on point H and draw an arc in the interior of the angle. Label the intersection of the arcs in the interior of the angle as point K. Place the point of the compass on point G and draw an arc that intersects the sides of ∠G.
working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours. find how long it would take Alberto to do it alone. A) 6.75 B) 5.02 c) 7.54 D)7.01
Answer:
D) 7.01
Step-by-step explanation:
The rates of doing work, in terms of jobs per hour, will add when the two painters are working together. If A represents Alberto's time to do the job alone, we have ...
1/4.12 = 1/10 + 1/A
(Jobs per hour is the inverse of hours per job.)
A = 1/(1/4.12 -1/10) ≈ 7.0068 ≈ 7.01
It takes Alberto 7.01 hours to do the job alone.
An architect measures a beam to be 96.55 centimeters long, with an accuracy of plus or minus 0.02 centimeter. Which equation can be used to find the limits of the actual length of the beam? |x−96.55|=0.02start absolute value x minus 96 point 5 5 end absolute value is equal to 0 point 0 2 |96.55−0.02|=xstart absolute value 96 point 5 5 minus 0 point 0 2 end absolute value is equal to x |x+96.55|=0.02start absolute value x plus 96 point 5 5 end absolute value is equal to 0 point 0 2 |96.55+0.02|=x
Answer:
|96.55−0.02|= x
|96.55+0.02|=x
Step-by-step explanation:
Given that:
Measured length of beam = 96.55 cm
Measurement accuracy = plus or minus (± 0.02cm)
Limits of actual length of the beam:
Let limit of actual length = x
Lower limit :
|measured length - accuracy| = x
|96.55 - 0.02| = x
96.53) x
Upper limit :
|measured length + accuracy| = x
|96.55 + 0.02| = x
96.57 = x
rote x+18=x-2 what is the answer
Answer:
no solution
Step-by-step explanation:
Given
x + 18 = x - 2 ( subtract 18 from both sides )
x = x - 20 ( subtract x from both sides )
0 = - 20 ← not possible
This indicates the equation has no solution
HELP ME PLS HELP FAST DIE IN 5 MIN
Answer:
158 cm2
Step-by-step explanation:
surface area = (6×5)+2(8×5)+(8×6) = 158 cm2
what is the right answer
Answer:
{y≥1
,{y-x>0
Step-by-step explanation:
First of all you have to consider the shaded region. It is bound by two lines.
The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.
the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is
y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0
y=x if we subtract x from both sides we have
y-x=0
since the shaded region is on the upper side as y-x increases the in equality will be
y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.
8. Write `6.43\cdot10^{3}` in standard notation
9. Write `8.456\cdot10^{7}`
10. Write `8\cdot10^{5}` in standard notation
11. Write `9\cdot10^{10}` in standard notation
12. Describe how you would write 3,482,000,000 in scientific notation as if you were explaining it to someone who didn't know what scientific notation was.
just move the decimal point where the exponent indicates
there are no negative exponents here so none of these numbers will be decimal:
8. 6430, moved the decimal point 3 places to the right
9. 84560000 moved the decimal point 7 places to the right
10. 800000 (six zeros)
11. 90000000000 (ten zeros)
12. 3.482^9 (I'll use this one as example)
To convert a number to scientific notation, move the point just after the first number from left to right (that is not zero), remove the zeros that are from right to left if there are any (for example, if you have 45002 it is not needed to remove any because there is a significant number is in front of the two zeros, instead, if we have a number like 2046000, the last three zeros are removed).
there you will have the number: 3.482
Then, count how many places the point moved (in the original number) and that will be the exponent
3,482,000,000
moved 9 places
this isn't a decimal number so the exponent will be positive
3.482^9
Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each.
Jane is 13 and Harvey is 39
Jane is 12 and Harvey is 48
Jane is 13 and Harvey is 48
Answer:
13, 39
Step-by-step explanation:
H +J =52
H =3J
3J +J =52
4J =52
J =52 :4 =13 (Jane is 13
H =3 ×13 =39 (Harvey is 39
Answer:
Jane is 13 and Harvey is 39
Step-by-step explanation:
Round 20045 to 4 significant figures.
Answer:
2005
Step-by-step explanation:
a cliff diver leaps from a 100-foot cliff into the pacific. the divers height above the water is modeled by the function P(x) = -16x^2 + 10x + 100, where x is time in seconds. during which interval is the diver at least half way down
Answer:
2.1 < x < 2.5 seconds
Step-by-step explanation:
What is the product of -4(-15)? *
Answer: 60
Step-by-step explanation: -4x-15=60
Answer:
60
Step-by-step explanation:
negative times negative is equals to positive
A wave has a wavelength of 18 meters and a Frequency of .5 Hz.
What is its velocity?
simplify the following expressions ( combine like-terms )
Answer:
6x
Step-by-step explanation:
Step 1: Write equation
x + 2x + 3x
Step 2: Combine like terms
3x + 3x
6x
The time taken to travel between two regional cities is approximately normally distributed with a mean of
70 minutes and a standard deviation of 2 minutes.
The percentage of travel times that are between 66 minutes and 72 minutes is closest to
A. 2.5%
B. 34%
C. 68%
D. 81.5%
E. 95%
Answer:
D
Step-by-step explanation:
What are the new vertices of triangle QRS, shown, if the triangle is reflected across the line y = x, also shown? Question 6 options: A) Q′ = (–2,–3), R′ = (1,1), S′ = (2,–1) B) Q′ = (2,–4), R′ = (4,0), S′ = (3,–1) C) Q′ = (2,–5), R′ = (5,0), S′ = (2,–1) D) Q′ = (5,2), R′ = (0,5), S′ = (1,2)
Answer:
C
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
Q(- 5, 2 ) → Q'(2, - 5 )
R(0, 5 ) → R'(5, 0 )
S(- 1, 2 ) → S'(2, - 1 )
The coordinates of the reflected point under a line y = x will be Q′ = (2,–5), R′ = (5,0), S′ = (2,–1).
What is a reflection of a point in coordinate geometry?The reflection of a point in coordinate geometry is the image formed concerning the x-axis, y-axis, or origin.
Under a reflection in the line y = x
A point (x, y ) has reflected point (- x, - y )
Thus,
The coordinates of the reflected point under a line y = x will be Q(- 5, 2 ) → Q'(2, - 5 )
The coordinates of the reflected point under a line y = x will be R(0, 5 ) → R'(5, 0 )
The coordinates of the reflected point under a line y = x will be S(- 1, 2 ) → S'(2, - 1 )
Thus, option C is the correct one.
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It’s all in the picture number 5!!!pleaseee help‼️‼️‼️‼️‼️‼️ASAP‼️‼️
We know that m<JKL = m<JKM + m<MKL
Let's substitute the values from the picture into our equation above.
10x - 11 = 43 + 8x - 20
Combine like terms.
10x - 11 = 8x + 23
Subtract 8x from both sides and add 11 to both sides.
2x = 34
Divide both sides by 2
x = 17
m<MKL = 8x - 20 = 8(17) - 20 = 136 - 20 = 116 degrees.
m<JKL = 10x - 11 = 10(17) - 11 = 170 - 11 = 159 degrees.
Colby has $100. He buys five CD's that cost x dollars each, and then he buys
three DVD's for y dollars each. Write an algebraic expression for the amount
of money he has remaining (in terms of x and y).
Answer:
100-(5x+3y)
Step-by-step explanation:
100-(5x+3y) 5 cds cost x dollars plus 3 costs that cost y dollars equals the total amount of money he spends then subtract by 100 to find how much he has left
Please help with this question. Thanks.
Answer:
FJH is an obtuse angle, so it is automatically larger than 90. Answer is D.
2.
Write an equation in point-slope form of the line that passes through the points (-2, 4) and (6,-4)
Answer:
Step-by-step explanation:
(-4 - 4)/(6 + 2)= -8/8= -1
y - 4 = -1(x + 2)
y - 4 = -x - 2
y = -x + 2
These are pretty easy but can someone answer them for me so that i could go to sleep
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The answer to this is: Map Key. Because, Large scale maps are typically used to show site plans, local areas, neighborhoods, towns etc. ... A 'small' scale map is one in which a given part of the Earth is represented by a small area on the map. Small scale maps generally show less detail than large scale maps, but cover large parts of the Earth. The answer to this is: North. Like the wind rose, the compass rose was coincidentally designed in a fashion that resembled the rose flower. It helped to orient a map in the proper reading direction and gave the relative directions for certain points on the chart. Before compass roses were used on maps, lines were drawn from central points. The answer to this is: Map. Because, a Map help you to find places where you need to go. The answer to this is: Map Key. Because, A map usually has a legend, or key, that gives the scale of the map and explains what the various symbols represent. Some maps show relief, or changes in[tex]UsedLess[/tex] elevation. A common way to show relief is contour lines, also called topographic lines. The answer to this is: Blue. Because Blue Water is mostly associated with the color blue. Uncolored versions of these symbols can be found in Earth, Air, Fire and Water Symbols. The answer to this is: Help you find directions: Because, A compass rose, sometimes called a windrose or rose of the winds, is a figure on a compass, map, nautical chart, or monument used to display the orientation of the cardinal directions (north, east, south, and west) and their intermediate points. The answer to this is: A system of vertical and horizontal lines. A grid system on a map is usually square and is represented by drawn lines on the map creating those squares. The purpose of the grid system is to give each point in the map an identifier, an address, by which we can refer to it by. The answer to this is: Map key Title, date, author, and sources usually appear on the map though not always together. The map's title tells what the map is about, revealing the map's purpose and content. For example, a map might be titled “Political Map of the World” or “Battle of Gettysburg, 1863.”Hope It Helped!~
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[tex]UsedLess[/tex]~ (●ˇ∀ˇ●)Without using a calculator, choose the statement that best describes the value of {86}
Answer: my guess is 9
Answer:
there would be the 8 in the tens place and the 6 in the ones place
Step-by-step explanation:
you can see this in a place value chart
Thirty bouquets contain 750 rose stems. How many rose stems will 9 such bouquets hold?
Answer:
225 rose stems
Step-by-step explanation:
750 / 30 = 25 rose stems per bouquet
25(9) = 225 rose stems