Answer:
$546
Step-by-step explanation:
726 is 1/3. 3/3 is 2178. - 1632= 546.
Find the centroid of the triangle with these vertices: P (-1,7), Q (9,5), and R (4,3).
The coordinates of the centroid are?
Answer:
The coordinates of the centroid are:
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
The diagram is also attached below.
Step-by-step explanation:
Given the vertices
P (-1, 7)Q (9, 5)R (4, 3)We know that the intersection of medians brings the centroid of the triangle.
The centroid of a triangle is given by
[tex]O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)[/tex]
In this example,
[tex]P_x=-1,\:P_y=7[/tex]
[tex]Qx=9,\:Q_y=5[/tex]
[tex]Rx=4,\:R_y=3[/tex]
substituting in the formula
[tex]O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:[/tex]
[tex]O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:[/tex]
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
Therefore, the coordinates of the centroid are:
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
The diagram is also attached below.
We've been given with the co-ordinates of vertices of the triangle and asked to calculate the co-ordinates of the centroid.
★ Centroid of a triangle :-
[tex]\red{\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} } \: , \: \dfrac{y_1 \: + \: y_2 \: + \: y_3}{3} }} \: \pink\bigstar [/tex]We have :
x₁ = -1x₂ = 9x3 = 4y₁ = 7y₂ = 5y3 = 3Substituting the values :
★ For x co-ordinate:-
[tex]: \: \implies \: \sf{x\: = \: \dfrac{x_{1} \: + \: x_2 \: + \: x_3}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ - 1 \: + \: 9 \: + \: 4}{3}} \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 8 \: + \: 4}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \cancel\dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: 4 }[/tex]
★ For y co-ordinate:-
[tex]: \: \implies \: \sf{y\: = \: \dfrac{y_{1} \: + \: y_2 \: + \: y_3}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 7 + 5 + 3}{3}} \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 10 \: + \: 5}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \cancel\dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: 5 }[/tex]
★ Henceforth,
Co-ordinates are (4 , 5)Additional Information :
★ Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]★ Distance Formula :-
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]★ Visit more :-
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https://brainly.com/question/27354479
https://brainly.com/question/27354524
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helpp
2^2 - (2)(-2) - (-2)^2
Answer:
4
Step-by-step explanation:
2^2 - (2)(-2) - (-2)^2
=4+4-4
=4
2² - (2 × -2) - (-2²)
= 4 - (-4) - 4
= 4 + 4 - 4
= 8 - 4
= 4
whats the slope intercept form
Answer:
y=1+0b
Step-by-step explanation:
please help i’ll give brainliest!!
Answer:
no correlation
Step-by-step explanation:
the dots are all scattered randomly
Given a+2 when a=5 I need help
Answer:
The answer to this is 7.
a+2
5+2
7
HELPPPPPPPP T^T I NEED AN ANSWER!!!! IS THE QUESATIN A OR C
Answer:
Commutative
Please, mark as brainliest
What would 3 1/3 be if you had to borrow?
we will eat chocolate of rupee 1 and divide other amount ofoney equally
b) How far does the car travel in 4 hours?
Answer:
70 miles per hour
Step-by-step explanation:
Answer:
A car can travel up to 240 km in 4 hours.
Step-by-step explanation:
A car travels 60 MPH meaning 60(miles) times 4(hours) is 240.
9(p-4)=-189(p−4)=−18
Answer:
6
Step-by-step explanation:
Answer:
The Correct Answer is 2
Step-by-step explanation:
Trust me for I have the skills of a scientist
Slove the sum
-15 > - 16 + y
Answer:
Let's solve your inequality step-by-step.
−15>−16+y
Step 1: Simplify both sides of the inequality.
−15>y−16
Step 2: Flip the equation.
y−16<−15
Step 3: Add 16 to both sides.
y−16+16<−15+16
y<1
Answer:
y<1
helpppp
i need help quickly
Answer: 140?
I am not really sure but I think 140......
the temperature at noon at an Antarctic weather center was –15 °C. At midnight it had fallen by 12 °C. What was the temperature at midnight?
Answer:
-27 °C
Step-by-step explanation:
-15 -12 = -27
please help i’ll give brainlest and lots of points !!
Bella makes bracelets. She uses 20 beads for each bracelet. How
many beads will she use to make 7 bracelets?
Answer:
140 beads.
Step-by-step explanation:
Hope this helps. :)
Read the top and answer the question!!
Answer:
Um... ithink it would be 3 but please tell me and correct me if im wrong
Step-by-step explanation:
The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that the company will generate $3.3 million for the local economy by the $1 million in salaries that will be paid. The city council estimates that 70% of the salaries will be spent in the local community and 70% of that money will again be spent in the community, and so on. What is the correct estimate of the amount generated to the local economy?
Answer:
The correct estimate of the amount generated to the local economy is $3,333,333.[tex]\bar3[/tex]
Step-by-step explanation:
The amount the expected to be generated for the local economy = $3.3 million
The amount of salaries that will generate $3.3 million = $1 million
The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%
Therefore, we have;
For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞
The sum of a geometric sequence to infinity is given as follows;
[tex]\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}[/tex]
Substituting the known values gives;
[tex]\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k = \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3[/tex]
Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.[tex]\bar3[/tex].
Answer:
it A
Step-by-step explanation:
What is the surface area of the solid?
Answer:
B
Step-by-step explanation:
бx +7= 8х - 15
Pls help will mark brainliest
Answer:
X=11
Step-by-step explanation:
-6x both sides of = sign
+ 15 both sides of = sign
x=11
Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes dimensions augmentades, respectivament, en 1 cm i 2 cm respecte de les dimensions del primer. Si la suma dels tres perímetres és de 162 cm, quines són les dimensions de cada rectangle?
Resposta:
Primer rectangle:
Amplada = 11
Longitud = 14
Segon rectangle:
Amplada = 12
Longitud = 15
Tercer rectangle:
Amplada = 13
Longitud = 16
Explicació pas a pas:
Donat que:
Primer rectangle:
Amplada = x
Longitud = x + 3
2n rectangle:
Augment de la dimensió d'1 cm respecte al primer rectangle;
Amplada = x + 1
Longitud = x + 4
3r rectangle:
Augment de la dimensió de 2 cm respecte al primer rectangle;
Amplada = x + 2
Longitud = x + 5
Suma dels tres perímetres del rectangle:
Perímetre d'un rectangle: 2 (l + O)
Primer rectangle:
2 (x + x + 3) = 2 (2x + 3) = 4x + 6
2n:
2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10
3r:
2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14
Suma de perímetres = 162
(4x + 6 + 4x + 10 + 4x + 14) = 162
12x + 30 = 162
12x = 162 - 30
12x = 130
x = 11
Per tant,
Primer rectangle:
Amplada = 11
Longitud = 11 + 3 = 14
2n rectangle:
Amplada = 11 + 1 = 12
Longitud = 11 + 4 = 15
3r rectangle:
Amplada = 11 + 2 = 13
Longitud = 11 + 5 = 16
HELP only answer to give right answer pleaseeee
Answer:
B=4
Step-by-step explanation:
The Y intercept is where the line meets with the middle of the graph
Explain why 186,426 Is diviable by both 3 and 9
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A number is divisible by 9 if the sum of its digits is divisible by 9.
Look :
[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{9} = \frac{27}{9} = 3 \\ [/tex]
Thus 186,426 is divisible by 9 .
_________________________________
Also a number is divisible by 3 if the sum of its digits is divisible by 3.
Look :
[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{3} = \frac{27}{3} = 9 \\ [/tex]
Thus 186,426 is divisible by 3 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
You have a standard deck of cards. What is the probability of drawing a heart or a face card?
Answer:
3/4
Step-by-step explanation:
How do I plot this?
For a dinner party, a catering company charges a set
fee of $150 plus $20 per person.
How much will it cost for 35 people to attend the event?
Justify your work
Answer:
$850
Step-by-step explanation:
35 x 20 = 700 + 150 = $850 or 850
$20 per person and 35 people = $700 + the $150 fee = $850
HELP MEEEE PLEASE i don't know how to do this
Answer:
5 hours
Step-by-step explanation:
35x+25 = 40x
25=5x
x= hours
Wykonaj mnożenie i zredukuj wyrazy podobne (x+5)(x+4)(x+3).
Answer:
.........................
Two airplanes are carrying food and medical supplies to a country in needOne airplane is carrying 63 meals and 51 medical The total the supplies on that airplane is The other airplane is carrying 77 meals and 51 medical kitsThe cost for the supplies on that airplane Write and solve a system of equations to find the price of one meal and the price of one third airplane is carrying 70 meals and 62 medical , what is the total cost of supplies
Answer:374
Step-by-step explanation:
you add them all then get the total
Given: AB || DC, AD || BC
Prove:
Answer:
Reasons:
2. Opposite interior angles
4. Opposite interior angles
5. Same line
6. Congruence
Step-by-step explanation:
really confused on this! help is appreciated!!
how many times does 90 go into 490
Answer:
may be 5 times is answer but I am not sure I have done 5 times I got like this