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.
Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
r = 6 minus three-halves a
r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?
Simplify the expression below:
5(2x - 4y)
Answer:
10x-20y
Step-by-step explanation:
5 x 2x - 5 x 4y
10x - 20y
Answer:
10 • (x - 2y)
Step-by-step explanation:
Pull out like factors :
2x - 4y = 2 • (x - 2y)
Final Result:
10 • (x - 2y)
I don’t understand someone please help ! In the bottom it says follow the steps above to find the equation of these two trend line
1.(x2 , y2) =(3,12 ) ( x1 , y1) =(-6,-6)
2.(x 2 , y2 ) =(2,7 ) ( x1 ,y1) =(-2,-5)
Answer:
I really dont know
Step-by-step explanation:
Answer:
step below
Step-by-step explanation:
1. (0,9) (9,0) or (7,2) or (1,8)
2. m = rise/run = (0-9) / (9-0) = -1
3. y = mx + b for point (9,0)
y intercept ( b) = y - mx = 0 - (-1)*9 = 9
4. equation for trend line: y = -x + 9
check use (7,2): 2 = -7 + 9
7 lbs of dog food cost $6.30. What is the unit price? 20 points-
Answer: 9 cents
Step-by-step explanation: 6.30 divided by 7 is 0.9
Please help me answer this question thank you.
Answer:
122°
Step-by-step explanation:
10a + 2° + 5a - 2° = 180° [ being linear pair ]
15a = 180°
a = 180° / 15
a =12°
Now
<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°
Hope it will help :)
A -yard-long field is divided into parts of equal length. Mr. Gump paints a 6-yard-long strip in each part. How long is the unpainted strip in each part of the field
Answer:
9 yards
Step-by-step explanation:
THE QUESTION ABOVE ISN'T COMPLETE THEN I FIND THE SAME QUESTION WITH JUST CHANGE IN VALUES. CHECK IT BELOW;
A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the unpainted strip of each part of the road?
EXPLANATION:
From the question, a 208-yard-long road is been parted into into 16 parts and they all have equal length.
Then we can determine the Length of each part as
(208-yard-long road/16 parts )
= 13
Then each part has a length of 13 yards
From the question, we know that 4-yard-long strip was painted in each part by Mr. Ward. Which means to determine the
unpainted strip of each part, we are going to use the expresion below.
(Length of each strip - length of painted strip)
= (13 yards - 4-yard-long strip )
= 9 yards
Therefore, the length of unpainted strip of each part of the road is 9 yards
Not every straight line will pass the vertical line test. What is the only type of straight line that would fail the vertical line test?
Answer:
Gfdyuihgff hibhhiuuuuyyygfxf. Hugfti. Hffty9
Answer:
vertical line
Step-by-step explanation:
what are the missing reasons in the proof. im having an hard time with this.
Answer:
Please see below
Step-by-step explanation:
Step 3: Definition of parallelogram
Step 4: Alternate internal angles between parallel lines AB // CD
Step 5: Reflexive property of congruence
Step 6: ASA theorem
¡Please answer!
¿What is a circle?.
Answer:
A circle is a shape.
Step-by-step explanation:
In geometry circles are known for you to solve the radius wit the formula A= π r^2
A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
Given mn, find the value of x.
+
(x-3)
(8x+3)
Answer
x=20
Step-by-step explanation:
(x-3) + (8x+3) = 180
9x = 180
x=20
i need help now its due right now can anyone help me
Answer:
(2,-3)
Step-by-step explanation:
I thought you'd actually have to calculate it but I guess they just wanted to give you guys a graph lol
Helppppp asap!!!!! Solve the inequality 4−23x>2−x for x. Show your work below.
Answer:
1/11>x
Step-by-step explanation:
4−23x>2−x
+23x to both sides
4>2+22x
-2 from both sides
2>22x
Divide by 22
1/11>x
wich fractions are equivalent to 40% check all that apply
Answer:
[tex]\frac{2}{5} = \frac{8}{20} = \frac{4}{10} = \frac{16}{40} = 40\% = \frac{40}{100} [/tex]
hope this helps.
Find the value of x in the triangle shown below choose 1 answer
Answer:
x=10
Step-by-step explanation:
X^2=6^+8^
x^2=36=64
x^2=100, square root of 100 =10
x=10
Use the distributive property to rewrite the expression -3 + 9(-4x + 4)
Answer:
-3(-11+12x)
Step-by-step explanation:
that should be the answer
A satellite cable company charges an installation fee of $50 plus an additional $35.95 per month for service.
how to solve proportions
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."r^3=47.77
need help hurry
Answer:
[tex]r = 3.63 (approximately)[/tex]
Step-by-step explanation:
[tex]r^{3} = 47.77\\[/tex]
[tex]r = \sqrt[3]{47.77} \\r = 3.63...[/tex]
3,480 divided by 29 Please help me
Answer:
120
Step-by-step explanation:
Hope this helps :)
Need answers for #3 please hep
Can someone please help me on Number 3 Please :)
Answer:
18000000 km
Step-by-step explanation:
25000*24*30=18000000
Can someone tell just the answer
Answer:
Option D is correct .
Step by step explanation:
A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.
So for finding its inverse , exachange x with y .
⇒ g(x) = -2x⁵ - 2 .
Let g(x) = y ,
⇒ y = -2x⁵ - 2 .
Replace x with y ,
⇒ x = -2y⁵ - 2
⇒ x + 2 = -2y⁵
⇒ y⁵ = x+2 / -2
⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)
⇒ y⁵ = -x - 2/ 2
⇒ y = ⁵√ [ ( -x -2)/2 ]
Hence the inverse of the function is ,
[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]
Hence the correct option is (D) .add the sum of 10 and 11 to the product of 10 and 11 and the difference between 10 and 11
Answer:
According to the above statement,
[tex](10 + 11) + (10 \times 11) + (10 - 11) \\ 21 + 110 - 1 = \boxed{120}[/tex]
120 is the right answer.12. A culture of bacteria in the lab doubles every 6 minutes. Assume the growth follows a continuous exponential
model and you start with only 2 bacterium.
Using an appropriate exponential base, if this pattern continues to be applicable, find the time in
which the number of bacteria would reach 109. (Round to the nearest minute.)
Answer:
18 minutes
Step-by-step explanation:
if you divide 109 by 6, ya get 18.166666-
What pleASE help IM TRYING TO HELP MY BROTHER THIS IS EMBARR
Answer:
9/5 ft.
Step-by-step explanation:
9/10 + 9/10 = 18/10 = 9/5
Distance between (-9,-6) and (-6,-8)
Answer:
The distance is....
5
Step-by-step explanation:
Giving a whole lot of points:)
Answer:
this is kinda old so free points ig
Step-by-step explanation:
2.) A car rental company is charging a
$50 rental fee and then $0.17 per mile.
.
Write an expression that represents the
total cost of renting a car for a day using
m for number of miles.
If Kane traveled 55 miles, how much
did his trip cost?
Answer:
y=0.17x+50. His trip cost $50.85
Step-by-step explanation:
I need some help...-^-
George rented a bike for 4 hours there was a $10 deposit to pay in addition to the hourly rate what is the hourly rate if the total came to less than or equal to $65...
Answer:
y=13.75x+10
Step-by-step explanation:
65-10=55
55 divided by 4 is 13.75
Answer:
y=13.75x+10
Step-by-step explanation:
65-10=55
55 divided by 4 is 13.75
What is the radius of the circle?
Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .
Step-by-step explanation:
Answer:
radius=area÷2
radius=9÷2
radius=4.5