Answer:
The height of the balloon at 09 18 = 788.4 meters.
Step-by-step explanation:
As the hot air balloon is descending.
and the height of the balloon n minutes after it starts to descend is [tex]h_{n}[/tex]
meters.
The height of the balloon (n +1) minutes after it starts to descend, [tex]h_{n+1}[/tex]meters, is given by
[tex]h_{n+1}[/tex]= [tex]k *h_{n}+20\\[/tex] where K is a constant
Here the balloon starts to descend from a height of 1200 meters at 09 15
So [tex]h_{n}[/tex]=1200 meters
At 09 16 the height of the balloon is 1040 meters.
So [tex]h_{n+1}[/tex]= 1040 meters
the height of the balloon at 09 18 = [tex]h_{n+3}[/tex] meters
now [tex]h_{n+1}[/tex]= [tex]k *h_{n}+20\\[/tex]
k = [tex]\frac{h_{n+1 }-20 }{h_{n} }[/tex]
k= (1040 - 20) ÷ 1200
k = 0.85
Now [tex]h_{n+2}[/tex] = (0.85 × 1040) +20 =904 meters
Similarly [tex]h_{n+3}[/tex] = (0.85 × 904) +20 = 788.4 meters.
Therefore the height of the balloon at 09 18 = 788.4 meters.
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Using two six-sided number cubes, each labeled with the numbers 1 through 6, event A is defined by rolling a sum greater than 8Which of the following shows the sample space of event A?
Answer:{(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}
Step-by-step explanation:
Event A is defined by rolling a sum greater than 8 will be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}.
What is a random sample?Random sampling is the method of selecting the subset from the set to make a statical inference.
Utilizing two six-sided number solid shapes, each named with the numbers 1 through 6.
The number of the total events will be given as,
Total events = 6²
Total events = 6 x 6
Total events = 36
The total sample is given below.
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Event A is defined by rolling a sum greater than 8 will be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}.
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Lines l1 and l2 are parallel and l3 is a transversal.
Which statement is true?
A
m∠2+m∠4=180°
B
m∠2+m∠3=180°
C
m∠1=m∠4
D
m∠1=90°
Answer:
C. m∠1 = m∠4
Step-by-step explanation:
A. m∠2 + m∠4 = 180°
∠2 and ∠4 are vertically opp. angles which means m∠2 = m∠4.
Hence, it's a false statement.
B. m∠2 + m∠3 = 180°
∠2 and ∠3 are corresponding angles which means m∠2 = m∠3.
It's a false statement.
C. m∠1 = m∠4
∠1 and ∠4 are another pair of corresponding angles which clearly states that m∠1 = m∠4.
Therefore, it's a true statement.
D. m∠1 = 90°
As clearly visible in the diagram;
It's a false statement.
Find the general term for the sequence 6, 9, 12, 15, .... n + 5 3 n + 3 4 n + 2 6 n + 3
The general term for the arithmetic sequence is aₙ = 3 + 3n
How to find the general term of an arithmetic sequence?The general term of an arithmetic sequence is as follows:
aₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore,
a = 6
d = 9 - 6 = 3
aₙ = 6 + (n - 1)3
aₙ = 6 + 3n - 3
aₙ = 3 + 3n
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PLEASE ANSWER ASAP!!!!!!!!!
How is the product of a complex number and a real number represented on the coordinate plane?
When 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar and a 90° counterclockwise rotation of the complex number.
When 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number.
When 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a 90° counterclockwise rotation of the complex number.
When 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar and a 90° clockwise rotation of the complex number.
The statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
= 6 + 4i
Multiplied by 3:
= 18 + 12i
If we plot on the coordinate plane there will be no rotation the scalar has changed by multiplying with a real number.
Thus, the statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.
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Solve
A.
A bag has 18 marbles of three different colours.
There are twice as many red marbles as blue
ones.
There are two fewer green marbles than blue ones.
Form an equation to model this situation, and solve
to determine the number of each color marble in
the bag.
B.
The perimeter of a large triangle is 237 cm.
The lengths of the three sides are consecutive
integers, Form an equation to model this situation,
and solve to find the lengths of the three sides.
Answer:
5 blue marbles
10 Red marbles
3 Green marbles
Step-by-step explanation:
5 times 2 = 10
then 5-2 =3
Add 5+10+3
=18 Marbles in total
49. Luke is putting a floor mat on his bathroom floor. The mat is
4 feet wide and 5 feet long. The floor is square with sides that
are 12 feet. The center of the mat is 73 feet from the wall.
X
733 ft
- Floor mat
bes stser pelazar to vilidad
Determine the distance from the edge of the mat, x, to the
opposite wall.
Answer:
54
Step-by-step explanation
(area of mat subtracted from area of room)-center of mat to wall
8.6 + 5.6x - 1.5 = 40.7
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]8.6 + 5.6x - 1.5 = 40.7\\5.6x = 33.6\\x=6[/tex]
Answer:
x = 6Step-by-step explanation:
solve for x
8.6 + 5.6x - 1.5 = 40.7
5.6x = 40.7 - 8.6 + 1.5
5.6x = 33.6
x = 33.6 : 5.6
x = 6
-----------------------------
check
8.6 + 5.6 * 6 - 1.5 = 40.7
40.7 = 40.7
the answer is good
Use the drawing tool(s) to form the correct answer on the provided number line.
Consider the given functions.
Function 1
f(x) = -5x + 11 + 10
Function 2
g(x)
-2
Represent the interval where both functions are decreasing on the number line provided.
30
20
10-
-10-
-20-
-30-
2
6
x
[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]
What is the function's decreasing in the interval?Generally, the equation for the function is mathematically given as
f(x) = -5x + 11 + 10
Therefore
When x >= -1, the function decreases because f(x) = -5(x+1)+10.
This means that the function is dropping throughout this range[tex](-1,\infty).[/tex]
b)
A look at the graph reveals a decreasing trend in the function over the timeframe (-2,2).
In conclusion, The number line will represent
Using the point where the intervals with decreasing functions overlap
[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]
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Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
a herd of 25 horses has 12 white and some black horses what is the ratio of white to black horses
12:25 is also the same as 12/25 (in the fractional form!)
hope this helps, have a great day/night/afternoon!! Don't forget to mark me the brainliest if this ever helps you!
If f(x)=x^2 then evaluate (2+3i)
Answer:
-5 + 12 i
Step-by-step explanation:
(2 + 3i)^2 = 4 + 6i + 6i + 9i^2
= 4 + 12 i + 9(-1)
= - 5 + 12 i
rne subtracted 6x3 2x
find the difference.
from -3.x3 +
4x - 7. Use the drop-down menus
to identify the steps Lorne used
(-3x' + 5x7,+ 4x - 7) + (-6x3 + 2x -3)
(-3x°) + 5x2 + 4x + (-7) + (-6x3) + 2x + (-3)
[(-3x*) + (-6x°)] + [4x + 2x] + [(-7) + (-3)] + [5x2)
-9x° + 6x + (-10) + 5x2
-9x' + 5x2 + 6x - 10
Gracie earns 17.25/h for a 37.5h week, plus extra for overtime. During store inventory she worked 48.5h. Her gross earnings were $1,471.88. What is Gracie’s overtime rate of pay? show work please
Gracie’s overtime rate of pay would be $635.06.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Gracie earns 17.25/h for a 37.5h week, plus extra for overtime.
For one hour she earns $17.25
For 37.5h she earns = 37.5h x 17.25
= $646.87
The total money she earns = $646.87 + overtime pay
During store inventory, she worked 48.5h. Her gross earnings were $1,471.88.
= 48.5h x 17.25
= $836.625
So, $836.625 + overtime pay = $1,471.88
overtime pay = $1,471.88 - $836.625 = $635.06
Hence, Gracie’s overtime rate of pay would be $635.06.
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Select the correct answer. A line each runs from point B through points A and C. First arc, centered at B, cuts line B A at J and line B C at K. A line runs rightward from point D. Second arc, centered at D, cuts the line at L and third arc, centered at L, cuts the line at M. What needs to be corrected in the following construction for copying ∠ABC with point D as the vertex?
In order to make point D as the vertex in the construction as triangle ABC, the third arc should cross the second arc.
What is an arc?In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.
In order to make point D as the vertex in the construction as triangle ABC, you must ensure that the third arc crosses the second arc as illustrated in image attached below.
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Answer: The third arc should cross the second arc.
Step-by-step explanation: The guy above me clearly stated it, just wanted to clear up that he is correct :)
find the volume of the composite figure
Volume is a three-dimensional scalar quantity. The volume of the composite figure is 14 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the composite figure is,
Volume = (1/3 ×1.5 × 2 × 2) + (2 × 1.5 × 4)
= 2 ft³ + 12 ft³
= 14 ft³
Hence, the volume of the composite figure is 14 ft³.
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Determine the measure of each indicated angle. Show all necessary steps!
The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.
What is the sum of all the angles of a regular polygon?
For a regular polygon of any number of sides, the sum of its exterior angle is 360°.
We already know that a 4-sided polygon's angles add up to 360 degrees.
So to find the value of x:
69 + 118 + 84 + x = 360
x = 360 - (69 + 118 + 84)
x = 89 degrees
b)
For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.
So to find the value of p:
100 + 62 + 106 + p = 360
p = 360 - (100 + 62 + 106)
p = 92 degrees
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Se quieren llenar 100 botellas de agua con una capacidad de 1/4lt ¿cuantos litros de agua son necesarias?
Answer:
25
Step-by-step explanation:
Because 100 25+25+25+25 or 25/1/4
Bonnie and Connie ran a total of 135 miles last week. Bonnie runs at a constant speed of 7 miles per hour, and Connie runs at a constant speed of 5 miles per hour. If Bonnie and Connie ran for a total of 24 hours last week, how many minutes did Bonnie run
Answer: 450 Minutes
Step-by step explanation:
135-x)/5 = hours connie runs
x/7 = hours Bonnie runs
(135-x)/5 + x/7 = 24
135-x + 5x/7 = 120
945-7x+5x = 840
-2x = -105
x = 52.5 miles = distance of Bonnie
52.5 miles / 7 m/hr = 7.5 hours = 450 minutes
Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants his fruit salad to contain five different fruits. How many ways can he make the fruit salad if it must contain watermelon?
The number of ways that he can make the fruit salad if it must contain watermelon is 35.
What is Permutation and combination?Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.
The salad contains water melon, now we have to select 4 more fruits out of 7.
Using combination
[tex]^{n{C}_r[/tex] = n! / r! (n-r)!
[tex]^{7}C_4[/tex] = 7!/ 4! (7-4)!
= 7*6*5*4! / 4! * 3*2
= 35
Hence, number of ways that he can make the fruit salad if it must contain watermelon is 35.
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Answer: 35 on edge got it right
Step-by-step explanation:
I’m not sure how to do this if someone could help it would be much appreciated
Answer:
(b) y = 18/x; y = 9/4
Step-by-step explanation:
Different kinds of variation are generally described by the equation ...
y = k·( ) . . . . . . . where k is the constant of proportionality
__
kinds of variationWhat goes in parentheses depends on the kind of variation. Here is a partial list of kinds that may be seen in algebra problems.
direct: xinverse: 1/xas the square: x²as the square root: √xas the inverse of the square: 1/x²jointly as: xzThe value of k can be found by solving the variation equation with given values of the variables.
__
inverse variationThe variables x and y are said to vary inversely, so the appropriate equation is ...
y = k(1/x) = k/x
Using the given values, we can find k:
9 = k/2
9·2 = k = 18
So, the equation is ...
y = k/18
__
for x=8Using the above equation, the value of y for x=8 is ...
y = 18/8 = 9/4
Note: you can also get there by realizing that x=8 is 4 times x=2, so the new value of y will be the old value of y multiplied by the inverse of this factor. 1/4 times the old value of y: (1/4)9 = 9/4.
In triangle nql, point s is the centroid, ns = (x 10) feet, and sr = (x 3) feet. triangle n q l has centroid s. lines are drawn from each point to the midpoint of the opposite side to form line segments n r, q m, and l p. the length of line segment n s is x 10 and the length of line segment s r is x 3. what is rs? 4 feet 7 feet 10 feet 14 feet
The complete question is
"In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet. Triangle N Q L has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, Q M, and L P. The length of line segment N S is x + 10 and the length of line segment S R is x + 3.
What is RS?
4 feet, 7 feet, 10 feet, 14 feet"
Answer:
The Length of RS would be 7 ft. so the correct option is B.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
Given:
NS = (x + 10) ft
SR = (x + 3) ft
Based on the centroid theorem, the centroid, S will divide the median, line segment NR, into NS and SR,
NS : SR = 2 : 1.
Therefore:
NS = 2(SR)
x + 10 = 2(x + 3)
Solve for x
x + 10 = 2x + 6
x - 2x = -10 + 6
-x = -4
x = 4
SR = (x + 3) ft (SR is same as RS)
substitute the value of x
SR = (4 + 3) ft
SR = RS = 7 ft
Hence, The Length of RS would be 7 ft. so the correct option is B.
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Answer: B, 7 feet
Step-by-step explanation:
Estimate the roots of f(x)
Answer:
Step-by-step explanation:
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 31 ft/s. The ball's height h (in feet) after t seconds is given by the following.
A quadratic equation is in the form of ax²+bx+c. The time at which the height of the ball is 16 feets is 0.717 seconds and 1.221 seconds.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The complete question is:
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 31 ft/s. The ball's height h (in feet) after 7 seconds is given by the following, h=2+31t-16t². Find all values of t for which the ball's height is 16 feet. Round your answer(s) to the nearest hundredth.
The time at which the height of the ball is 16 feet can be found by,
h = 2 + 31t - 16t²
16 = 2 + 31t - 16t²
16 - 2 - 31t + 16t² = 0
16t² - 31t + 14 = 0
[tex]t = \dfrac{-(-31)\pm \sqrt{(-31)^2-4(16)(14)}}{2(16)}\\\\[/tex]
t = 0.717 , 1.221
Hence, the time at which the height of the ball is 16 feets is 0.717 seconds and 1.221 seconds.
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Two numbers are in the ratio of 2 to 3. Their sum is 30. What are the numbers? 3. Two numbers are in the ratio of 2 to 3. Their sum is 30. What are the numbers ?
Answer:
12 and 18
Step-by-step explanation:
Lets say the two numbers are A and B, with A the smaller.
We are told that A/B = 2/3 [in the ratio of 2 to 3]
We also find that A + B = 30 [Their sum is 30]
Rearrange the first equation to isolate A:
A/B = 2/3
A = 2B/3 [multiply both sides by B]
Now use this value of A in the second equation:
A + B = 30
2B/3 + B = 30
(2/3)B + (3/3)B = 30
(5/3)B = 30
B = (30)(3/5)
B = 6*3
B = 18
Since A + B = 30:
A + B = 30
A + 18 = 30
A = 12
A is 12 and B is 18
===================
Check:
Does A/B = 2/3??
(12/18) = (6/9)
(6/9) = (2/3) YES
Does A + B = 30 ???
12 + 18 = 30 YES
How do you write a proof for this
Answer: They're equal to each other yes corresponding parts of congruent triangles are equal
Step-by-step explanation:
Which triangle would be most helpful in finding the distance between the points (–4, 3) and (1, –2) on the coordinate plane?
On a coordinate plane, a triangle has points (negative 4, 3), (1, negative 2), (5, 3).
On a coordinate plane, a triangle has points (negative 4, 2), (negative 1, 4), (1, negative 3).
On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).
The correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph in option third is showing correct points on the x-y plane which are ( -4,3) and ( 1,-2).
-4 is along the negative x-axis and 3 is along the positive y-axis similarly to the second point positive 1 is along the x-axis and negative 2 is along the y-axis.
Therefore the correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.
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Brainliest!
Which system is represented in the graph?
y>x²-2x-3
y > x + 3
Oy
y
Oy2x²-2x-3
y ≤ x + 3
Oy>x²-2x-3
y
Answer:
y ≥ x² -2x -3y ≤ x +3Step-by-step explanation:
When matching graph to inequality, the first things to look for are the nature of the boundary line (solid or dashed), and the direction of shading relative to the boundary line (above or below, left or right).
Boundary lineThe boundary line of the solution set of an inequality will be solid if the line is included in the solution. That is, the inequality will include the "or equal to" case. The corresponding inequality symbols are ≤ or ≥.
The boundary line of the solution set will be dashed if the line is not included in the solution. The corresponding inequality symbols are < or >.
ShadingThe shading will be above the boundary line if the solution set includes larger y-values than those on the boundary. This will be the case when the inequality is of the form y > ( ) or y ≥ ( ).
For inequalities of the form y < ( ) or y ≤ ( ), the shading will be below the boundary line.
Similarly, the shading for an inequality of the form x > ( ) will be right of the boundary line, where x-values are greater. For inequalities of the form x < ( ), the shading will be to the left of the boundary line.
ApplicationIn the given graph, both boundary lines are solid, so both inequalities will include the "or equal to" case. This eliminates choices A, B, D.
The shading is above the quadratic boundary line, and below the linear boundary line, so the inequalities can be expected to be of the forms ...
y ≥ x² +...y ≤ x +...These forms match choice C:
y ≥ x² -2x -3y ≤ x +3If point C is between points A and B, then ___ + CB = AB.
A. BC
B. CA
C. ABC
D. AB
Answer:
[tex]\fbox {B. CA}[/tex]
Step-by-step explanation:
Picture the line segment :
⇒ A ---------------- C ------------------ B
Then :
⇒ CA + CB = AB
Please Help!! [ tough geometry question :( ]
Answer: [tex]133^{\circ}[/tex]
Step-by-step explanation:
Opposite angles of a cyclic quadrilateral are supplementary, so:
[tex]4x+5+x+15=180\\\\5x+20=180\\\\5x=160\\\\x=32[/tex]
This means that [tex]m\angle A=4(32)+5=\boxed{133^{\circ}}[/tex]
Need help
cnnbc recently reported that the mean annual cost of auto insurance is 959 dollars. assume the standard deviation is 263 dollars, and the cost is normally distributed. you take a simple random sample of 37 auto insurance policies. round your answers to 4 decimal places.
a what is the probability that one randomly selected auto insurance is more than $984?
b. a simple random sample of 37 auto insurance policies, find the probability that the average cost is more than $984.
Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters are given as follows:
[tex]\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24[/tex]
Item a:
The probability is one subtracted by the p-value of Z when X = 984, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{984 - 959}{263}[/tex]
Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{984 - 959}{43.24}[/tex]
Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
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The coordinates of triangle LMN are shown. L(-1,4) M(-1, -3) V N (4, -1) What is the length of LM? Enter the answer in the box. unit(s) The coordinates of triangle LMN are shown . L ( -1,4 ) M ( -1 , -3 ) V N ( 4 , -1 ) What is the length of LM ? Enter the answer in the box . unit ( s )
Answer:
7
Explanation:
Use the distance formula to find the answer
Answer:
7 units
Step-by-step explanation:
since the x- coordinates of L and M are equal , both - 1 then the length of LM is the absolute value of the difference of the y- coordinates.
LM = | 4 - (- 3) | = | 4 + 3 | = | 7 | = 7
or
LM = | - 3 - 4 | = | - 7 | = 7
