PLEASE HELP URGENCY
We know A(0;1) & B(4;-3) & C(-2;7)
Detrmine the value of D and of G knowing that D is a point on the y-axis and that the two coordinates of the center of gravity (G) of the triangle ABD are equal
Answers
Thus, point D's coordinates are (0, 2/3).
In math's, what is a triangle?The triangle is a polygon with three vertices and three sides. The angles of a triangle are formed by the connection of the three sides end to end at a point. The sum of the three angles of the triangle is 180 degrees.
Knowing that D is a point just on y-axis and that its x-coordinate is zero will help us determine its value. Hence, point D's coordinates are (0, y).
We must first determine the coordinates for point B in order to determine the centre point gravity G of the triangle ABD. B's x- and y-coordinates are 4 and -3, respectively. The line segment AB's midpoint is at:
\(((0+4)/2, (1-3)/2) = (2, -1)\)
Hence, the y-axis and the coordinates (2, -1) are on the line segment BG. Let point G's coordinates be (x, y). G being the triangle ABD's gravitational center, we have:
\(x = (0 + 4 + 0)/3 = 4/3\)
\(y = (1 + y - 3)/3\)
By finding y, we obtain:
\(y = 1/3\)
Thus, point G's coordinates are \((4/3, 1/3)\) .
Knowing that D is on the y-axis and also that G seems to be the midpoint of the line segment AB will help us determine the value of D. A being on the y-axis results in:
DG = GA
\(y - 1/3 = 1/3\)
\(y = 2/3\)
Point D's location is therefore \((0, 2/3)\) .
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Related Questions
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answers
Answer:-5-1 c
Step-by-step explanation:
how do you do Inequalities o-o help meh pleaseeeeeeeeeee
Answers
Answer:
To solve an inequality use the following steps:
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Step-by-step explanation:
Up there!
The product of 9 upon 7 and a number is 63. Find the number
Answers
Answer:
heyy Vrooo....
alr ans is 49
Step-by-step explanation:
see let number be x
so as per ques.. product of x and 9/7 = 9x/7
which is 63
so \(\frac{9x}{7}\) = 63
9x = 63*7
x = \(\frac{63*7}{9}\)
x = 7*7 = 49
Possible to brainliest <3 ?
if the odds for a certain event are 7 to 17, what is the probability of the event occurring? write your answer as a simplified fraction.
Answers
The probability of the event occurring is 17/24
The meaning of "odds against of an event" :Odds in probability of a particular event, means the ratio between the number of outcomes of success to the number of outcomes of failure. It is denoted by x:y, and "x" is the number of outcomes of failure and y is the number of outcomes of success.
We have the information from the question is:
If the odds for a certain event are 7 to 17.
To find the probability of the event occurring.
Now,
Add the two numbers in the odds ratio together: 17 + 7 = 24.
Divide the number of favorable outcomes (17) by the total number of possible outcomes(24) : 17 ÷ 24.
Simplify the fraction, if possible.
The simplified fraction is 17/24.
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Tony has 2/3 gallon of milk.
He wants to equally share the milk between 3 milkshakes.
Which expression represents the amount of milk that will be in each milkshake?
Answers
Answer: 2/9 gallon per shake
Step-by-step explanation:
(2/3)/3
2/9 gallon per shake
(2/9)*(3) = 6/9 or 2/3
2) After fuel prices rose by 15%, a
family's annual heating bill was £1654.
What would the bill have been without
the price increase?
Answers
Therefore , the solution of the given problem of percentage comes out to be the initial annual heating cost was about £1438,26 before the 15% increase.
What precisely is a percentage?A number or statistic that is stated as an amount of 100 is referred to as "a%" in statistics. The forms "pct," "pct," or "pc" are additionally uncommon. The common way to indicate it is with a representation "%," though. The ratio to the total sum is flat, and there are no indicators. Percentages are actually integers because they almost always add up to 100. To suggest that a number indicates a percentage, either the word "fraction" or a representation for percentage (%) must come before the number.
Here,
Assume that the annual heating expense was x prior to the 15% increase.
=> x + 0.15x = 1.15x was the new bill after the 15% price rise.
We can write: Because we are aware that the new price following the increase is £1654:
=> 1.15x = 1654
We must find x in order to determine the initial bill before the increase:
=> x = 1654/1.15
=> x ≈ 1438.26
Therefore, the initial annual heating cost was about £1438,26 before the 15% increase.
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What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answers
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
Perimeter of ABC is 67.
ADC is equilateral and ABC is isosceles. Angle CAB=60, ACB=60 and ACB=60. Find perimeter of triangle ADC.
(Triangle ADB intersects at an angle of 60 deg in triangle ABC.)
Answers
Answer:
man can u send the pic of the diagram I will solve it
HOW MANY MILES PER HOUR IS 130 KM/HR (1 MILE = 1.61 KM)
Answers
Answer:
80.7
Step-by-step explanatio
1.61km=1
130=x
130/1.61
To read 8 pages, Shirley needs 40 minutes. At that rate, how many minutes does she need to read each page
Answers
She need 5 minutes to reach each page.
What is constant rate?In mathematics, the absence of acceleration is referred to as a constant rate. A function that has a constant rate typically has a second derivative of 0.
The function would be plotted as a straight line on a piece of graph paper if the change in y (or rate) were constant. When anything moves at a fixed, steady pace or at an average speed, it is said to be moving at a constant rate, also known as a uniform rate. For instance, 3 hours pass while driving. In the first hour, it travels 30 miles, in the second hour, 45 miles, and in the third hour, 75 miles.
Given,
time she needs to read 8 pages = 40 minutes
time she needs to read 1 pages = 40/8
=5 minutes
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11) Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: 1. What is the probability all three of the selected homes have a security system? 2. What is the probability none of the three selected homes have a security system? 3. Did you assume the events to be dependent or independent?
Answers
Answer:
1) Pr(all three) = 0.064
2) Pr(none) = 0.216
3) Independent event
Step-by-step explanation:
Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)
Where Pr = probability
This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure
Where p = success, q = failure
For n trials,
Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)
Pr (security) = 40% = 0.4
p = 0.4
q = 1-p = 1-0.4 = 0.6
Numbers selected at random = n = 3
See attachment for more details on the workings.
1) Probability all three of the selected homes have a security system = Pr(all three)
Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³
= 0.4×0.4×0.4
Pr(all three) = 0.064
2) Probability none of the three selected homes have a security system
= Pr(none)
Pr(none) = 1 × (0.4)^0 × (0.6)³
= 0.6³ = 0.6×0.6×0.6
Pr(none) = 0.216
3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.
In a park, the locations of a drinking fountain, a streetlight and a flagpole form a right triangle. The drinking fountain is 12 yards north of the streetlight, and the flagpole is 5 yards east of the drinking fountain.
What is the shortest distance, in yards, from the streetlight to the flagpole?
A.7
B.11
C.13
D.17
Answers
Answer:
13
Step-by-step explanation:
What are the odds in favor of rolling two number cubes and having a 7 on the first roll and doubles on the second roll?
please give an explanation
Answers
The odds in favor of rolling two number cubes and having a 7 will be 1/6.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
The total number of the events will be
Total events = 6 x 6
Total events = 36
The number of favorable events will be
Favorable events = 6 {(1, 6), (2, 5), (3, 4), (4, 3), (2, 5), (6, 1)}
Then the probability will be
P = 6 / 36
P = 1/6
The odds in favor of rolling two number cubes and having a 7 will be 1/6.
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a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years. what is the 95% confidence interval estimate for the average number of years served by all supreme court justices? place your limits, rounded to 1 decimal place,
Answers
"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.
The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,
we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)
= 13.8 ± (1.96 × 1.088)
= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13
= 15.9313.8 - 2.13
= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].
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2. which of these best describes a residual? a) it must be a number between 0 and 1 b) it must be positive c) it must be negative d) it must have both positive and negative values e) it represents a distance between observed and predicted values
Answers
it represents a distance between observed and predicted values
What is residual?
A residual in statistics is the discrepancy between an observed value and a value that was predicted.
Typically, the anticipated value is based on a model, like a linear regression model. The prediction error is represented by a residual, which can be either positive or negative. A positive residual indicates a difference between the observed and expected values, whereas a negative residual indicates the opposite. Specifically, the residual's absolute value is the distance between the observed value and the predicted value.
For evaluating a model's correctness, residuals are crucial. The residuals should be randomly distributed in the vicinity of zero if the model is valid. The residuals will be biased either in favor of or against the null hypothesis if the model is not accurate. A model's goodness of fit can also be evaluated using the residual. Relatively small residuals characterize a model with a high goodness of fit. Remainders that are far from zero will be present in a model with a low goodness of fit.
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can someone pls help!!
Answers
Answer:
\(y=-\frac{1}{9}(x-2)^2-3\)
Step-by-step explanation:
When a quadratic equation is in the form \(y=a(x-h)^2+k\) (vertex form):
The x-coordinate can be found by identifying which value makes \((x-h)^2\) equal 0The y-coordinate can be found by identifying the k value (y=k)Therefore, if the vertex of the function is at (2,-3), h needs to be 2 for \((x-h)^2\) to equal 0 and k needs to be -3. The only equation that displays this is G:
\(y=-\frac{1}{9}(x-2)^2-3\)
I hope this helps!
At a cricket match 4/9 of the supporters are supporting the home team.
The rest are supporting the away team. 3/5 of the away team supporters
are male.
a. What fraction of all the supporters are male and supporting the away
team?
b. What fraction of all the supporters are female and supporting the away
team?
Answers
The fractions of all the supporters that are male and support the away
team is 1/3
The fractions of all the supporters that are female and support the away
team is 2/9.
What is a fraction?A fraction is a value representing a part of a whole.
We have,
Supporters for the Home team = 4/9
Supporting for the away team = 1 - 4/9 = 5/9
Now,
Male supporters from the away team = 3/5 x 5/9 = 1/3
So,
Female supporters from the away team = (1 - 3/5) x 5/9 = 2/5 x 5/9 = 2/9
Thus,
The fractions of all the supporters that are male and support the away
team is 1/3
The fractions of all the supporters that are female and support the away
team is 2/9.
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You have a budget of $328 allocated for a gym membership. If it costs you $80 to join
the gym and $8.50 per month, how many months are you able to belong to the gym?
Answers
Answer:
You will only be able to go 29 months
Step-by-step explanation:
"Month 1 2 3 4 5 6 7
Value 23 15 20 12 18 22 15
What type of pattern exists in the data?
(a) positive trend pattern
(b) horizontal pattern
(c) vertical pattern
(d) negative trend pattern
Answers
The negative trend pattern exists in the given data.
The Given information is as follows: Month 1 2 3 4 5 6 7
Value 23 15 20 12 18 22 15
To find: What type of pattern exists in the data
The pattern that exists in the given data can be determined by creating a graph between month and value. So, the graph will be as follows: Type of pattern: From the above graph, it is evident that there is a Negative trend pattern in the data. Answer: (d) Negative trend pattern.
Conclusion: Thus, the negative trend pattern exists in the given data.
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What is the domain? I need help on this problem
Answers
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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what is the line of symmetry of graph of f(x)=(x+2)²-5
a. x=-5
b. x=-2
c. x=2
d. x=5
thank u very much❤️
Answers
The line of symmetry is like vertex but without k value.
From (h, k) which is vertex. h is basically a line of symmetry.
Therefore if vertex for the graph is (-2,-5)
The line of symmetry would be x=-2
So the answer is B.
At which plant is the cost lowest for producing 5 radios?
Answers
Answer:
plant c is the answer to your question
5/6 - 1/9 = ?/? - ?/? = ?/?
please help 20 points
i need to know what each ( ?/? ) is
Answers
5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is
5/6 -1/9 =15 /18 -2/18 =13 /18.
As given,
5/ 6 - 1/9 =?/? -?/? =?/?
Convert the given terms into like terms
Least common multiple of (6,9)=18
Value of each ( ?/?)
(5/6 ) × ( 3/3) -(1/9) × (2/2)
= 15 /18 - 2/18
= 13 /18
Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to
5/6 -1/9 = 15 /18 -2/18 = 13/18.
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many automobiles produce about 5 grams of no for each mile they are driven. how many liters of no gas at stp would be produced on a 100-mile trip?
Answers
400 liters of NO would be produced on a 100-mile trip.
What is an ideal gas equation?
PV = nRT is the equation for an ideal gas. In this equation, P stands for the ideal gas's pressure, V for the ideal gas' volume, n for the total amount of the ideal gas expressed in moles, R for the universal gas constant, and T for temperature.
Here, we have
molar mass of NO = (14+16) = 30 g/mole
then , 5 g NO = (5/30) = 0.167 moles
total production of NO in 100 miles trip = 100*0.167 = 16.67 moles
The ideal gas equation is
PV = nRT at NTP
pressure (P) = 1 atm, temperature ( T) = 293 K (200c)
number of moles (n) = 16.67
then, we get
V = nRT/P
= 16.67*0.082*293/1
= 400 L
Hence, 400 liters of NO would be produced.
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Which proportion could be used to find the length of side b?
A
9
64°
85
9.3
A.
B.
sin 31
9.3
sin 31
9.3
8
Csin 64
b
11
D. Sin 64
9.3
sin 85
b
sin 64
b
sin 85
a
sin 85
b
Answers
D sin 85 sin 31
---------- = ----------
b 9.3
How to solve thisWe can use the law of sins
sin B sin A sin C
--------- = ----------- = ----------
b a c
We do not know angle C, but we can calculate it
The angles of a triangle add to 180
A + B + C = 180
64+ 85 + C = 180
149 + C = 180
C = 180-149
C =31
sin B sin C
--------- = ----------
b c
We know B = 85, C = 31, b = unknown and c = 9.3
sin 85 sin 31
---------- = ----------
b 9.3
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A race car accelerates on a straight track from 0 to 100 km/h in 6 s. Another race car accelerates from 0 to 100 km/h in 5 s. Compare the velocities and accelerations of the cars during the race.
Answers
what is the equation for this line
Answers
Answer:
y=-1.5x+0.5 or y+1.5x-0.5=0
solve 58÷4(6×9)+7(7×3)
Answers
58/4x54+7x21 =
783+7x21 =
783+147 =
930
Answer:
answers 930 ok I hope it help
1.
If you are trying to build a rectangular garden with 128 feet of fencing, what is the greatest
possible area you can create? Show your work.
Answers
Answer:
4096
Step-by-step explanation:
To get the highest answer, you must divide 128 by 2
128/2=64
Then you multiply it by each other.
64*64=4096
PROOF:We know this is the largest because 128*1 is not the largest number as it is unbalanced. We need the most balanced answer. What is more balanced then 128/2?
Sorry if formatting is weird, first time answering questions
Please help solve this and show work
Answers
Hope this helps :)
