Given:
Vertices of a triangle are D(0,5), E(2,0) and F(-4,2).
To find:
The intersection point of medians DG and EH.
Solution:
We know that, intersection point of all the medians of a triangle is called centroid.
The formula of centroid is
[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]
Vertices of a triangle are D(0,5), E(2,0) and F(-4,2). So, the centroid of the triangle is
[tex]Centroid=\left(\dfrac{0+2+(-4)}{3},\dfrac{5+0+2}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{-2}{3},\dfrac{7}{3}\right)[/tex]
[tex]Centroid=\left(-0.666...,2.333\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(-0.7,2.3\right)[/tex]
Therefore, the correct option is C.
solve the following system of equation using elimination 2x+5y=12 -2x+3y=4
URGENT PLEASE HELP ME, ITS DUE IN A HOUR
Answer:
Area of gray region = [tex]8x^2+8x-7[/tex]
Step-by-step explanation:
The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.
Total area of the room: [tex]13x^2+7x-2[/tex]
Area taken up by furniture: [tex]5x^2-x+5[/tex]
Area of gray region = total area of the room - area taken up by furniture
Area of gray region = [tex]13x^2+7x-2-(5x^2-x+5)[/tex]
Remember to distribute the negative sign:
Area of gray region = [tex]13x^2+7x-2-5x^2+x-5[/tex]
Combine like terms:
Area of gray region = [tex]8x^2+8x-7[/tex]
Answer:
8x^2+6x+3
Step-by-step explanation:
13x^2+7x-2
- 5x^2- x+3
============
8x^2=6x=3
What is the value of x
Answer:
4.4
Step-by-step explanation:
10/4=2.5
11/2.5=4.4
I don't understand this
Answer:
59
Step-by-step explanation:
It's quite simple. A triange has a total of 180 degress. So add 47 and 74 to get 121. Then do 180 minus 121 to get 59
Please answer this and will give 5 stars and brainlist
Answer:
Statistica im pretty sure, i might be wrong tho, but if its right, cool
Step-by-step explanation:
NEED HELP FAST PLEASEEE!!
Answer:
y=2x+0
Slope:
2
y-intercept:
( 0, 0 )
Step-by-step explanation:
Slope intercept form: y=mx+b
Use the slope formula and the slope-intercept form to find the slope m and y-intercept b .
Sheila's entertainment center has enough space for a television that is 12 inches long and 15 inches high. TVs for Less is selling a television with an area of 196 square inches. Will the television fit in Sheila's entertainment center?
What’s the answer? QUICK
Answer:
Step-by-step explanation:
4 and 1/6
Trevor has 3 2/5 pieces of cake left over. If she wants to split it between her and her 9 friends, how much will each
person get?
Answer:
17/50.
Step-by-step explanation:
If we convert 3 2/5 into an improper fraction, we get 17/5.
If you don't read the question carefully, it's easy to think that the answer would be 17/5 ÷ 9. However, this is wrong.
The question says "her AND her 9 friends," so there are 9+1=10 people total.
Thus, the answer would be
17/5 ÷ 10 = 17/5 * 1/10 = 17/50.
Conner had 354$ and spent 243 cents. How much did conner have left and how many dollars? please help. If you do, then I will tell you a secret.
Conner: $354 - 243 cents
243 cents = $2.43 because 100 cents = 1 dollar
Conner: $354 - $2.43 = $351.57
$351.57
He has 351 dollars left.
Answer:
354 - 243 = 111
Step-by-step explanation:
300 - 200 = 100
50 - 40 = 10
4 - 3 = 1
100 + 10 + 1 = 111
Classify the triangles as acute obtuse or right
Answer:
Acute
Obtuse
Right
Acute
Step-by-step explanation:
To see if a triangle is acute, right, or obtuse, you use something similar to the pythagorean theorem:
Let a and b be the shorter sides, c be the longest side.
If a^2+b^2 > c^2, then the triangle is acute.
If a^2+b^2 = c^2, then the triangle is right.
If a^2+b^2 < c^2, then the triangle is obtuse.
solve for x pls hurry
Answer:
x=19
Step-by-step explanation:
5(x+35)=9(300
5x+175=270
5x=270-175
5x=95
95/5=19X
Distributed Property
Please simplify 5(-x-4)-4
thanks
Given Q'R'S'T' is a dilation of QRST, find the scale factor of dilation.
Answer:
5Cause 15 divided by 3 is five
Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil’s weight in terms of Dylan’s weight (d)?
Part A
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression to represent Alan’s weight in terms of Dylan’s weight.
Part B
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight
Part C
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression for Cecil's weight in terms of Dylan’s weight.
Part D
Assume that Dylan weighs 45 pounds. Use the expression from part C to calculate Cecil’s weight.
Part E
Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.
Part F
Simplify the expression (2d + 3) + (3d − 12).
Part G
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.
Part H
Did you get the same answer for Cecil’s weight in parts D and G? What can you conclude about the expressions you developed in parts D and G?
Part I
Let's try something a bit different. The four brothers know that Bruce weighs more than Alan. Write an expression to represent how much more Bruce weighs than Alan. Write the in terms of Dylan’s weight, d.
Part J
Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.
Part K
Now simplify the expression (3d − 12) − (2d + 3) you wrote in part I.
art L
Dylan weighs 45 pounds. Use the simplified expression you found in part K to recalculate how much more Bruce weighs than Alan. Did you get the same answer as in part J? If not, be sure to check your work, particularly the positive and negative signs.
PLEASE HELP I WILL DO YOUR WORK IF YOU DO THIS FOR ME PLZZZZZZZZZZZZZZZ
Answer:
PART A- 3+D POUNDS
PARTB- 3D-12
Step-by-step explanation:
dylan-d pounds
alan-3+d pounds
bruce-3d-12
Answer:
Alan = A
Bruce = B
Cecil = C
Dylan = D
Part A A = 2 x D + 3
Part B B= 3 x D - 12
Part C C= A+B A = 2 x D + 3 B= 3 x D - 12
Part D Cecil weighs 216 pounds
Part E Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.
Part F 5d-9
Part G Cecil’s weight in terms of Dylan’s weight is 5d – 9. Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:
(5 × 45) − 9 = 225 − 9 = 216.
If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.
Part H Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.
Part I Bruce's weight in terms of Dylan’s weight is 3d − 12. Alan's weight in terms of Dylan’s weight is 2d + 3.
So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.
Part J The expression is (3d − 12) − (2d + 3). Evaluate the expression by substituting Dylan’s weight (d = 45) into it: (3 × 45 − 12) − (2 × 45 + 3) = (135 − 12) − (90 + 3) = (123) − (93) = 30.
Bruce weighs 30 pounds more than Alan weighs.
Part K (3d − 12) − (2d + 3).
First remove the parentheses:
3d − 12 − 2d − 3.
Then group the like terms:
3d − 2d − 12 − 3.
Finally, subtract the like terms:
d − 15.
The expression (3d − 12) − (2d + 3) simplifies to d − 15.
Part L The expression is d − 15. Evaluate the expression by substituting Dylan’s weight (d = 45) into it: 45 − 15 = 30.
Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.
Step by step explanation:
So you basically want to focus on Alan and Bruce they will help you get the rest of your answers
Note:
Some of these are direct answers from Edmentum
Can u help me understand how to write a function for the rule "the output is 3 less than 5 times the input" thanks :)
Answer:
I think it would be something like 5x - 3 =
Someone plz help T^T
Answer:
No
Step-by-step explanation:
parallel means they do not touch.
Please help me ASAP. ( and actually try and not just type something random)
Answer:
i think shell pay 24$ between 3 and 4pm
and an additional $12
Step-by-step explanation:
sorry if this is wrong:(
Can someone help me please
Answer:
-15
Step-by-step explanation:
a tangent to a circle passes through the center of the circle
True
false
sometimes true
Answer:
False.
Step-by-step explanation:
A tangent is a line that only touches exactly one point of the circle. (The outer edge) :)
i don’t kno the answer help
Answer:
Yes
Step-by-step explanation:
It is true because the equation would be 1 is less than or equal to 3-(-4)
Can someone please help me with this please
These are all your congruent parts and they are colour coded along with matching marks on the triangle to help you know that! :)
(8) Use the information in the diagram to determine the height of the tree. The diagram is not to scale. GEOMETRY
Answer:
D = 37.5
Step-by-step explanation:
You had $23 to spend on five raffle tickets. After buying them, you had $8.
How much did each raffle ticket cost?
O $103
O $3
O $75
O $15
Answer:3
Step-by-step explanation:
23-8= 15
15/5=3
solve equation
x^2+6x+1=0
give your answer to 2 decimal places
Step-by-step explanation:
x² + 6x + 1 = 0
(x + 3)² - 8 = 0
(x + 3)² = 8
x + 3 = √8 or x + 3 = -√8
x = √8 - 3 or x = -√8 - 3
x = -0.17 or x = -5.83.
The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.
As per the given quadratic equation,
x² + 6x + 1 = 0
Make the whole square as
(x + 3)² - 8 = 0
(x + 3)² = 8
x + 3 = √8 or x + 3 = -√8
x = √8 - 3 or x = -√8 - 3
x = -0.17 or x = -5.83.
Hence "The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83".
For more about the quadratic equation,
https://brainly.com/question/17177510
#SPJ2
Help plz ASAP , geometry
Answer:
Step-by-step explanation:
Use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse (longest side)
a^2 + 7^2 = 8^2
a^2 + 49 = 64
a^2=15
Now take the square root of 15 which is about 3.8
helpppppppppppppppppppppppppppppppppppp please!
ou go to the store and buy jeans for $40, a shirt for $20, and a jacket for $60. You have a coupon for 35% off. What is the sale price?
Answer:
SAME AS THIS
Explanation:
County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$75 * 0.0725 = $5.4375
Add the original price and the sales tax.
$75 + $5.4375 = $80.4375
County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$70 * 0.08 = $5.6
Add the original price and the sales tax.
$70 + $5.6 = $75.6
Then take the difference.
80.4375 – 75.6 = 4.8375
Round to the nearest hundredth: $4.84
Answer:
the sale price would be $78
Step-by-step explanation:
add up all the prices to get 120
35% taken off of 120 is 78
Enter the correct answer pls help
Answer:
[tex]\huge\boxed{\sf x = 8a}[/tex]
Step-by-step explanation:
[tex]\sf \frac{3}{a} x - 4 = 20\\\\Add \ 4 \ to \ both \ sides\\\\\frac{3}{a} x = 20+4\\\\\frac{3}{a} x = 24\\\\Multiply \ both \ sides \ by \ a\\\\3x = 24 * a\\\\Divide \ 3 \ to \ both \ sides\\\\x = 24a / 3\\\\x = 8a\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807I need help with this math problem
Answer:
for the first on its a translation or c and for the second one its a reflection D
Step-by-step explanation: