Answers
The median of [tex]\triangle ABC[/tex] are lines CD, AE and BF. These lines meet at point Q, makes Q the centroid. The length of QE is 9 units.
The centroid of a triangle divides the median of a triangle using the following ratio;
[tex]m:n = 2:1[/tex]
This means that:
[tex]BQ:QF=2:1[/tex]
[tex]AQ:QE=2:1[/tex]
[tex]DQ:QC=2:1[/tex]
To calculate QE, we make use of:
[tex]AQ:QE=2:1[/tex]
From the triangle;
[tex]AQ = 18[/tex]
So, we have:
[tex]18:QE=2:1[/tex]
Express as a fraction
[tex]\frac{18}{QE}=\frac{2}{1}[/tex]
Cross multiply
[tex]2 \times QE = 18 \times 1[/tex]
[tex]2 \times QE = 18[/tex]
Divide both sides by 2
[tex]QE = 9[/tex]
Hence, the length of QE is 9 units.
Read more about centroid at:
https://brainly.com/question/21361838
Related Questions
FIRST CORRECT ANSWER GETS BRAINLIEST!!! 20 POINTS!!!!!
Answers
Answer:
14
Step-by-step explanation:
When you plug this expression into the calc, you should get 14 as your answer.
Answer:
14
Step-by-step explanation:
-3(7+5)
------------ + 9(2)
3^2
PEMDAS
Parentheses first
-3(12)
------------ + 9(2)
3^2
Then exponents
-3(12)
------------ + 9(2)
9
Then multiply the top of the fraction
-36
------------ + 9(2)
9
Complete the fraction
-4 + 9(2)
Finish multiplying
-4+18
14
Is the function f(x)= -(4/3)^-6x an exponential function?
Answers
Answer:
Yes
Step-by-step explanation:
The function f(x)= -(4/3)^-6x is exponential
What is the simplified form of the expression (x + 6)(7x − 1)
Answers
Step-by-step explanation:
[tex](x + 6)(7x - 1) \\ {7x}^{2} - x + 42x - 6 \\ {7x}^{2} + 41x - 6[/tex]
Answer:
7x^2+41x-6
Step-by-step explanation:
(x + 6)(7x − 1)
FOIL
first x*7x = 7x^2
outer: -1x
inner: 6*7x = 42x
last: -6
Add them together
7x^2 -x+42x -6
Combine like terms
7x^2 +41x -6
Find the perimeter of the figure when l = 15 m, w = 9 m, x = 3 m, and y = 6 m
Answers
Answer:
54m
Step-by-step explanation:
15+15+9+9+3+3
ANYONE PLEASE HELP! (MARKS BRAINLIEST FOR HELPIING)
1) In the quadratic equation, k represents a real number.
3x^2+2kx+2=0
Which value of k gives imaginary solutions to the equation? Select all the values that apply.
A. − 5
B. − 3
C. − 1
D. 2
E. 3
F. 4
2) 1/2 x+12=8+4( x+1)
Which could be a correct first step to solve the equation? Select all the steps that apply.
A. Distribute 4 to the quantity ( x+1).
B. Add − 8 to each side of the equation.
C. Distribute 12 to the quantity ( x+1).
D. Multiply each side of the equation by 2.
E. Subtract 12 from each side of the equation.
F. Add together the 8 and the 4 on the right side of the equation.
G. Multiply the left side of the equation by 2 to eliminate the fraction.
3) In the equation of f(x) shown, r and s are positive real numbers.
f(x)=x^2−2(r−s)x+(r−s)^2+(r+s)
Select the options from the drop-down menus to correctly rewrite f(x).
FILL IN: f(x)= ( ......... ......... )2 ..........
4) A city’s population, P, changes according to the function P( x )=50,000 ( 0.95 )^x. where x represents the number of years after the year 2000.
Select the options from the drop-down menus to complete an accurate description of the population.
The population of the city in the year 2000 was(...……..) . The population is (..............) by (..........)each year.
Answers
Answer:
I found it on quizlet and it helped me out a lot :)
Step-by-step explanation:
just look up your question on quizlet then tap on a quiz then tap on view flashcards and once you see your question stop and tap the flashcard then the flashcard will flip and your answer will be on the back of it
HELP!
Consider the below equation:
0.5x-7= sqrt(-5x+29)
Give 2 different ways to show that the equation does not have any solutions. One way must be solving algebraically, and the other way must be by graphing.
Answers
Answer:
Algebraically
0.5x-7= √(-5x+29)
(0.5x-7)² = -5x+29
(0.5x)² - 2*0.5x*7 + 7² = -5x+29
0.25x² - 7x + 49 + 5x - 29 = 0
0.25x² - 2x + 20 = 0
Its discriminant is:
b² - 4*a*c
(-2)² - 4*0.25*20
-16 < 0
Therefore, the equation has no solutions.
Graphically
In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.
What is the value of p?
Answers
Answer:
50degrees
subtract 180with140and with 90 then add
Answer:
50˚ "D"
Step-by-step explanation:
All you have to do is subtract 140 by 90
Your equation should look like this: 140-90
What is the volume of the solid figure below?
28 m3
96 m3
104 m3
128 m3
Answers
Answer:
C!
Step-by-step explanation:
I would split the figure into 2 blocks by the dashed line.
Find the dimensions of each block.
The larger block's dimensions are
3 x 4 x 6
The smaller block's dimensions are
4 x 2 x 4
Now find the volumes.
72
32
Add the volumes
104
Answer:
It is C 104 m3
Step-by-step explanation:
The difference of 7y+1 and 4y−12 is subtracted from 10.
Answers
Answer:
-3y-3
Step-by-step explanation:
The difference:
7y+1 - (4y−12)= 3y + 13
Subtraction:
10- (3y+13)= -3y-3
For every 12 slices of pizza sold at Ping's Pizza Shop,
3 slices are pepperoni, 4 are sausage, and the rest are
cheese. What is the ratio of pepperoni to cheese?
Answers
Answer:
3:5 Is the ratio because there are five pieces of cheese.
Step-by-step explanation:
If there are 12 pieces, then you can add 4 and 3 together and get 7 and then you can take 7 from 12 and get 5 which is how many cheese pieces there are. Now you know that there are 3 slices of pepperoni and 5 pieces of cheese. Therefore the ratio is 3:5.
What could be the dimensions of the rectangle with an area of 260 square feet?
Answers
Answer:
180*2
Step-by-step explanation:
180*2=260
please mark brainliest
Two friends, Terrence and Eric share a certain amount of money in the ratio 5:9. If Terrence gets $56 less than Eric find the total amount of money that is shared between the two boys.
Answers
Answer:
239.556
Step-by-step explanation:
Difference of ratio=9-5=4
Sum of ratio=9+5=14
we know that Eric got $56 more
which means
4/14=56
1/14=56/4
1/14=14
1=14*14
=196
now we need to find
9/14=(196*14)/9
= 239.556
The ordered pair below is a solution to which equation?
(40,5)
Answers
Answer: C
Step-by-step explanation: Let me know if you need an explanation.
Answer:
Step-by-step explanation:
I pretty sure it c
-Delilah
hope it helps
find the x in the tringle
Answers
Answer:
3.5
Step-by-step explanation:
pythagorean therom 1.6^2+3^2=x^2
Answer:
x = 3.4
Step-by-step explanation:
→You can use the Pythagorean Theorem to solve this:
[tex]a^2+b^2=c^2[/tex]
→The "a," and "b," are the legs, 3 and 1.6, and the "c," is the hypotenuse, which we are trying to find.
[tex]1.6^2+3^2=c^2[/tex]
[tex]2.56 + 9 = c^2[/tex]
→Add like terms (2.56 and 9) together:
[tex]11.56 = c^2[/tex]
→We need to get "c," by itself, and to do this we need to square root both sides, like so:
[tex]\sqrt{11.56} =\sqrt{c^2}[/tex]
[tex]3.4 = c[/tex]
What does the point marked on the green line represent?
Answers
Answer: x-intercept
The x-intercept is the point where a line crosses the x-axis.
All x-intercepts have a y-coordinate of 0.
As an ordered pair, we can write this as (-19.164, 0).
Write the slope intercept form through (-1, -1), perp to y= 1/3x -3
Answers
Answer:
y = - 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x - 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute (- 1, - 1) into the partial equation
- 1 = 3 + c ⇒ c = - 1 - 3 = - 4
y = - 3x - 4 ← equation of perpendicular line
1. How do you use the distance formula and slope formula to classify a quadrilaterals and triangles
Answers
Answer:
Both Distance formula and Slope formula are used to classify quadrilaterals and triangles, as Distance formula is used to calculate the length of each side while Slope formula is used to find the angle of a line with respect to an axis or another line.
We can classify the figure as finding the lengths of each side by using Distance formula. For example, if we find that a quadrilateral has all 4 sides equal, is it a square. If it has opposite sides equal, it can be a rectangle or a parallelogram, and so on. It can also tell whether a triangle is right angled, isosceles or equilateral.
Slope are used to find angles of the lines. If 2 lines have the same slope, it means they are parallel to each other. If the product of their slopes is -1, it means they are perpendicular to each other
Moana and Maui are greatly outnumbered by the kakamora, coconut pirates. If there are two hundred and thirty thousand more kakamora than fifty-seven times the both of them, how many kakamora are there?
Answers
Answer :35,000
Step-by-step explanation:
I’m not sure if this is correct but I think you just have to multiply the two
What is the answer to this question? Please help!
Answers
Answer:
B
Step-by-step explanation:
[tex]-3\sqrt{2}+3\sqrt{8}= \\\\-3\sqrt{2}+3\sqrt{2\cdot 2^2}= \\\\-3\sqrt{2}+6\sqrt{2}= \\\\3\sqrt{2}[/tex]
Hope this helps!
Which statement is true regarding the functions on the graph?
Answers
Solve and show steps
Answers
Answer:
41
Step-by-step explanation:
3 unit= 15
4unit = 15/3 x 4= 20
20+21=41
Answer:
The correct answer is 41.
Step-by-step explanation:
unit 3: 15
unit 4: 15/3 x 4= 20
Then add 20 and 21 together and you get 41.
The angles of a quadrilateral are represented by 9x, (20x + 16) (12x + 10), and (7x- 2)°. What is the value of x?
Answers
Answer:
x=7
Step-by-step explanation:
9x+20x+16+12x+10+7x-2=360
48x+24=360
48x=360-24
48 x=336
x=336/48=7
Darren and Quincy wanted to justify that the expression One-sixth (6 x + 12) minus one-half (4 x + 2) is equivalent to Negative x + 1. Their justifications are shown below. Darren’s Method: Substitute 2 into both expressions One-sixth (6 x + 12) minus one-half (4 x + 2) = one-sixth (6 (2) + 12) minus one-half (4 (2) + 2) = one-sixth (24) minus one-half (10) = negative 1. negative x + 1 = (negative 2) + 1 = negative 1 Quincy’s Method: Substitute 6 into both expressions One-sixth (6 x + 12) minus one-half (4 x + 2) = one-sixth (6 (6) + 12) minus one-half (4 (6) + 2) = one-sixth (48) minus one-half (26) = negative 5. negative x + 1 = (negative 6) + 1 = negative 5 Which explains who is correct? Only Darren is correct because he substituted x = 2 into the expressions. Only Quincy is correct because he substituted a number that is the same as the denominator of one of the fractions. Both are correct because after substituting the same value into both expressions, the result is the same. Both are correct because after submitting different values into each expression, the result is the same.
Answers
Answer:
Both are correct because after substituting the same value into both expressions, the result is the same.
Step-by-step explanation:
Given the expression:
(1/6)*(6*x + 12) - (1/2)*(4*x + 2)
Applying distributive property:
(1/6)*6*x + (1/6)*12 - (1/2)*4*x - (1/2)*2 =
= x + 2 - 2x - 1 =
= -x + 1
Then, for any number substituted into both equations, the result is the same
Answer:
c: Both are correct because after substituting the same value into both expressions, the result is the same.
Step-by-step explanation:
did it on edge 2020
Antonina needs to have worked at least 90 volunteer hours to graduate. She has already volunteered with a housing organization over the summer for 52 hours. Antonina needs to tutor after school for 3 hours per week to complete the remainder of her volunteer hours. If w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours, which of the following inequalities best models the situation described above?
Answers
Answer:
No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate
=> 52 + 3w >= 90
Step-by-step explanation:
Given that Antonina needs to have worked at least 90 volunteer hours to graduate means that she needs to volunteer either for 90 hours or more than that . Mathematically this can be written as
Total volunteer hours required to graduate greater than or equal to 90
Total volunteer hours required to graduate>= 90
No. of hours already volunteered = 52
no. of hours left for volunteering = Total volunteer hours required to graduate - No. of hours already volunteered = 90 - 52 = 38
No. of hours in one week she can dedicate for volunteering= 3
if w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours
then total volunteer hours dedicated in w weeks will be = w*No. of hours in one week she can dedicate for volunteering = w*3 = 3w
Thus,
No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate
=> 52 + 3w >= 90
I need help with this
Answers
Answer:
p, because triangle ABC - triangle EDC
Step-by-step explanation:
Finding surface area (picture provided)
Answers
Answer:
A
Step-by-step explanation:
Remember that triangle's area is 1/2 x b x h. But we have 2 congruent triangles so we have 2 x 1/2 x b x h. so the area of 2 triangles is b x h.
You should know the areas of other sides.
5 x 6 + 6 x 12 + 6 x 13 + 5 x 12
Simplify!
30+72+78+60
90+150
240
If a circle has a radius of 7 square root of 2 and it has a shaded region with an area of 34 pi, find the angle within the shaded region.
Answers
Answer:
The angle of the shaded region is 124.9°
Step-by-step explanation:
Since there's an region inside the circle that is shaded and has an area of 34 pi square units, we can apply the circle's sector area's formula in order to find the angle of this region. The formula is given by:
[tex]\text{sector area} = \frac{\text{angle}*\pi*r^2}{360}\\[/tex]
Applying the data from the problem gives us:
[tex]34*\pi = \frac{angle*\pi*(7*\sqrt{2})^2}{360}\\34 = \frac{angle*(49*2)}{360}\\98*angle = 34*360\\angle = \frac{12240}{98} = 124.9\°[/tex]
The angle of the shaded region is 124.9°
The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.
-3/2
3/2
- 1/2
1/2
Answers
Answer:
-3/2,collinear.
Step-by-step explanation:
slope of PQ=(0-3)/(2-0)=-3/2
eq. of line PQ is
y-3=-3/2(x-0)
y-3=-3/2 x
or2y-6=-3x
or 3x+2y=6
if R(4,-3) lies on it,then
3(4)+2(-3)=6
12-6=6
or 6=6
which is true.
Hence points P,Q,R are collinear.
and line has aslope=-3/2
Answer:
-3/2
Step-by-step explanation:
If m = 70° and m = 30°, then m 2 = 20 35 50
Answers
Answer:
the answer is 50
tina equally shares 8 cookies among herself and her 4 friends. which fraction shows how many cookies each person gets
PLZ ASAP
Answers
Answer: 1 3/5
Step-by-step explanation:
if you have 8 cookies and want to share it with 5 total people you divide it so 8/5 is 1.6