Answer:
The coordinates of point L are:
(x₁, y₁) = (-22, 17)
Step-by-step explanation:
We know that the Midpoint Formula is given by:
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
In our case:
M(-12, 6) is the midpoint. Thus,
(x, y) = (-12, 6)
N(-2, -5) is the second point, Thus,
(x₂, y₂) = (-2,-5)
We have to determine the coordinates of point L.
Let (x₁, y₁) be the coordinates of point L.
substituting (x, y) = (-12, 6), (x₂, y₂) = (-2,-5) in the Midpoint Formula
[tex]\left(-12,\:6\right)=\left(\frac{-2+x_1}{2},\:\:\frac{-5+y_1}{2}\right)[/tex]
Determining the x₁ coordinate of the point L
[tex]\frac{-2+x_1}{2}=-12[/tex]
[tex]-2+x_1=-24[/tex]
Add 2 to both sides
[tex]-2+x_1+2=-24+2[/tex]
Simplify
[tex]x_1=-22[/tex]
Determining the y₁ coordinate of the point L
[tex]\frac{-5+y_1}{2}=6[/tex]
[tex]-5+y_1=12[/tex]
Add 5 to both sides
[tex]-5+y_1+5=12+5[/tex]
Simplify
[tex]y_1=17\:\:\:[/tex]
Therefore, the coordinates of point L are:
(x₁, y₁) = (-22, 17)
Answer:
the person up top is correct
What ordered pair would be located 5 units to the right on the x-axis?
Write answer (x,y):
10
9
8
7
6
5
1
>X
0 1 2 3 4 5 6 7 8 9 10
Answer:
(5, 0)
Step-by-step explanation:
The ordered pair located 5 units to the right on the x axis is (5, 0) which indicates the x-location first (x = 5) and the y-location in the second coordinate (y = 0)
PLS HELP NEEDED ASAP GIVING BRAINLESS
Children’s pony ride at a zoo please help I mark brainliest
Answer:
78.5 feet OR (25 x pi) feet
Step-by-step explanation:
You need to find the circumference.
C = 25 x 3.14
C = 78.5 feet
OR
C = 25 x pi
Hope that helps!
Draw a model to show a 26-pack of candy bars divided equally among 7 people. How
many candy bars will each person have?
Answer:
[tex]\frac{26}{7}[/tex]
Step-by-step explanation:
Each person will get 3 packs of candy bars
The given parameters are:
Candy bars = 26 pack
People = 7
The number of pack each person will have is then calculated as:
Pack =Candy bars / People
So, we have:
[tex]Pack = \frac{26}{7}[/tex]
Divide 26 by 7 (remove the decimal or fractional parts)
[tex]Pack = 3[/tex]
Hence, each person will get 3 packs of candy bars
Read more about quotients at:
https://brainly.com/question/7068223
Round to 2 significant figures 0.000789
Answer:
0.00079
Step-by-step explanation:
Leading zeroes dont count as sig figs, just round the final value and that gives your answer in 2 sig figs.
The manager at a restaurant found that the cost to produce 150 cups of coffee is $21, while the cost to produce 300 cups of coffee is $36. assume the relationship between the cost y to produce x cups of coffee is linear.
a.) write a linear equation that expresses the cost,y, in terms of the number of cups of coffee,x.
b.) how many cups of coffee are produced if the cost of production is $56?
Answer:
[tex]y = \frac{1}{10}x + 6[/tex]
500 cups cost $56
Step-by-step explanation:
Given
[tex]x = cups[/tex]
[tex]y = cost[/tex]
[tex](x_1,y_1) = (150,21)[/tex]
[tex](x_2,y_2) = (300,36)[/tex]
Solving (a): Linear Equation
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute right values
[tex]m = \frac{36 - 21}{300- 150}[/tex]
[tex]m = \frac{15}{150}[/tex]
[tex]m = \frac{1}{10}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where
[tex](x_1,y_1) = (150,21)[/tex]
[tex]m = \frac{1}{10}[/tex]
This gives:
[tex]y = \frac{1}{10}(x - 150) + 21[/tex]
Open bracket
[tex]y = \frac{1}{10}x - \frac{1}{10}*150 + 21[/tex]
[tex]y = \frac{1}{10}x - 15 + 21[/tex]
[tex]y = \frac{1}{10}x + 6[/tex]
Solving (b): Cups of coffees for $56
Substitute 56 for y in [tex]y = \frac{1}{10}x + 6[/tex]
[tex]56 = \frac{1}{10}x + 6[/tex]
Subtract 6 from both sides
[tex]-6+56 = \frac{1}{10}x + 6-6[/tex]
[tex]50 = \frac{1}{10}x[/tex]
Multiply both sides by 10
[tex]10 * 50 = \frac{1}{10}x * 10[/tex]
[tex]10 * 50 = x[/tex]
[tex]500 = x[/tex]
[tex]x = 500[/tex]
Hence: 500 cups cost $56
Find the slope of a line with this information, "−12; (4,−5)". Write your answer in slope intercept form.
Answer:
y = -12x - 43
Step-by-step explanation:
"slope-intercept form" looks like y = mx + b.
We are given m = -12 and a point on the line which is (4, -5).
Substituting 4 for x, -5 for y and -12 for m, we get:
-5 = -12(4) + b. Then b = -43, and the desired equation is y = -12x - 43.
Find the degree of the monomial.
1/3x^5y
Answer:
6
Step-by-step explanation:
David has a coin and a number cube. The number cube is labeled 1 through 6. He flips the coin once and rolls the number cube once. What is the probability that the coin lands tails-up and the cube lands on an even number.(PLEASE HELP MATH &TH GRADE GONNA FAIL IF I DONT PASS)
Answer:
3/12
Step-by-step explanation:
what are the answers to these questions? need help asap
PLS HELP WILL GIVE BRAINLIEST AND 50 POINTS IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!
The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won:
The title of the graph is Tennis Matches. On the x-axis, the label is Number of Months of Practice. On the y-axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x-axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)
First we have to understand that a Y-intercept of a line is the point where a line’s graph intersects or crosses the Y-axis. In this case we will need to look at the graph in order to find the Y-intercept. Looking at the graph I would say that the Y-intercept is (0,3.5).
For part B you can use the following:
y = m x + b
y = (7/4) * 13 + 3
26 Is your answer
Goodluck
:):
What is the length of arc S shown below? Enter an exact expression. The angle in the figure is a central angle in radians.
Answer:
The arc length S = 11.304 cm
Step-by-step explanation:
Explanation:-
Given that the radius of the circle 'r' = 6 cm
Given that the central angle = [tex]\frac{3\pi }{5}[/tex]
The Arc length is defined by
S = r θ
S = 6 × [tex]\frac{3\pi }{5}[/tex]
[tex]S = \frac{18\pi }{5}[/tex]
[tex]S = \frac{18(3.14) }{5}[/tex] (∵ π = 3.14)
S = 11.304 cm
The arc length S = 11.304 cm
Answer:
18pi/5
Step-by-step explanation:
In the first week of August, there were 1,060 people at an amusement park. In the second week, there was a 20% decrease in attendance. The park had estimated that 1,500 people would attend the 2nd week. What is the approximate percent error of their estimate?
Answer:
solution
1060/100=10.6
20x10.6=212
1060-212=848
1500-848=652
(652/848)x100=76.886%
Find X. Round to the nearest tenth if necessary
Answer:
3.2 probably I don't really know
Step-by-step explanation:
someone please help this person
Which equation has a slope of -5/2 and a y-intercept of -2
Answer:
Step-by-step explanation:
slope-intercept equation for line of slope -5/2 and y-intercept -2:
y = (-5/2)x-2
put into standard form:
(5/2)x + y = -2
5x + 2y = -4
Answer:
B. -5x-2y=4
Step-by-step explanation:
if im wrong sorry have a good day
Write the equation of a line in Slope-Intercept Form that has a slope of -3 and a y-intercept of 8.
Answer:
y=-3x+8
Step-by-step explanation:
Slope intercept is as follows: y=mx+b
m is the slope so replace the m with -3
y=-3x+b
b is the y intercept, so replace the b with 8 (keep in mind that had the y-intercept been negative, we would have subtracted)
This then gives you
Y=-3x+8I need help on this, anything will help!
Answer:
for the first box it would be pairs
1,5
2,8
3,11
4,14
5,17
for the second box it would be pairs
1,2
2,5
3,8
4,11
5,14
Step-by-step explanation:
PLEASE HELP!!!
(-4,-2) and (4,4)
Answer:
4--2/4--4
6/8=3/4
y=3/4 x +c
4=3/4(4)+c
4=3+c
4-3=c
1=c
y=3/4x+1
Step-by-step explanation:
Suppose that 10% of all bits transmitted through a digital communication channel are erroneously received and that whether any particular bit is erroneously received is independent of whether any other bit is erroneously received. Consider sending a very large number of messages, each consisting of 20 bits.
a. What proportion of these messages will have at most 2 erroneously received bits?
b. What proportion of these messages will have at least 5 erroneously received bits?
c. For what proportion of these messages will more than half the bits be erroneously received?
Answer:
a) 0.677
b) 0.0431
c) 0
Step-by-step explanation:
For each bit, there are only two possible outcomes. Either it is correctly received, or it is erroneously received. Whether any particular bit is erroneously received is independent of whether any other bit is erroneously received. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10% of all bits transmitted through a digital communication channel are erroneously
This means that [tex]p = 0.1[/tex]
Messages of 20 bits:
This means that [tex]n = 20[/tex]
a. What proportion of these messages will have at most 2 erroneously received bits?
This is [tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.1)^{0}.(0.9)^{20} = 0.1216[/tex]
[tex]P(X = 1) = C_{20,1}.(0.1)^{1}.(0.9)^{19} = 0.2702[/tex]
[tex]P(X = 2) = C_{20,2}.(0.1)^{2}.(0.9)^{18} = 0.2852[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1216 + 0.2702 + 0.2852 = 0.677[/tex]
b. What proportion of these messages will have at least 5 erroneously received bits?
This is
[tex]P(X \geq 5) = 1 - P(X < 5)[/tex]
In which
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.1)^{0}.(0.9)^{20} = 0.1216[/tex]
[tex]P(X = 1) = C_{20,1}.(0.1)^{1}.(0.9)^{19} = 0.2702[/tex]
[tex]P(X = 2) = C_{20,2}.(0.1)^{2}.(0.9)^{18} = 0.2852[/tex]
[tex]P(X = 3) = C_{20,3}.(0.1)^{3}.(0.9)^{17} = 0.1901[/tex]
[tex]P(X = 4) = C_{20,4}.(0.1)^{4}.(0.9)^{16} = 0.0898[/tex]
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.1216 + 0.2702 + 0.2852 + 0.1901 + 0.0898 = 0.9569[/tex]
Then
[tex]P(X \geq 5) = 1 - P(X < 5) = 1 - 0.9569 = 0.0431[/tex]
c. For what proportion of these messages will more than half the bits be erroneously received?
This is [tex]P(X \geq 11)[/tex]
[tex]P(X = 11) = C_{20,11}.(0.1)^{11}.(0.9)^{9} \approx 0[/tex]
If 11 is approximately 0, the rest(11, 12, 13,...) will also be approximately 0. So this proportion is 0.
In the slope 3/7, the 7 indicates to
A. Fall 7 units
B. Rise 7 units
C. run 7 units
Answer:
the answer is A
Step-by-step explanation:
Pulling a red card from a deck of cards, replacing it, and pulling another red card.
Answer:
Uh queen or hearts or diamonds?
Step-by-step explanation:
4. 2000 tickets were sold to a car show on Saturday. The cost of a ticket for an adult is $4 and the
cost for a child is $2. The total amount of money collected was $6400. Find the number of adult
tickets and child tickets sold.
What is the range of the function f(x)= 2 + 4 when the domain is {-2, 0, 3}?
A {4.25, 5, 12}
B. {0, 4, 10}
C. {4.25, 4, 12}
D. All Real Numbers
The domain is the possible input values "x" .. in this case [-4, -2, 0, 2, 4]
The range are the possible output values of f(x)
We need to solve f(x) = 3.2x for each value in our domain
f(-4) = 3.2(-4) = -12.8
f(-2) = 3.2(-2) = -6.4
f(0) = 3.2(0) = 0
f(2) = 3.2(2) = 6.4
f(4) = 3.2(4) = 12.8
Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer: 53.5 seconds
Step-by-step explanation:
helpppppppppppppppp me
Answer:
I'm pretty sure it's 24
Step-by-step explanation:
4,9, and 16 can make a perfect square.
it is 24:) because 4 and 16 deftienly can make a perfect square and 9 can to
Cuanto es 48 dividido entre 28975
Answer:
48 dividido por 2897 the answer is 60.35 -
Step-by-step explanation:
__60.35-
48 √2897
__ 288__
- - 1 7
___ 0_
170
_ 144 __
-260
____ 240__
-20
Pls help me this is 7th grade (ADVANCED)
Answer: We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,
X°+145°=180° because there supplementary angles.
X°=35° because 180-145=35°.
plss answer this because i dont known ehh
Can anyone help plz and thx
1 3rd x 9k plus 12 =15
Answer:
k=1
Step-by-step explanation:
⅓×9k+12 = 15
3k+12 = 15
3k = 3
k = 1
