Based on the centroid theorem, the value of x is: 2.5.
What is the Centroid Theorem?The centroid theorem states that, the centroid of a triangle equals two-third of the distance from each midpoint of a triangle to each vertex.
Given:
BD = 4x + 5
BF = 9x
Thus:
BD = 2/3(BF)
Substitute4x + 5 = 2/3(9x)
4x + 5 = 6x
4x - 6x = -5
-2x = -5
x = 5/2
x = 2.5
Therefore, based on the centroid theorem, the value of x is: 2.5.
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2 1/6 divided by 3/4
Answer:
Exact form = 26/9
Decimal form = 2.8
Mixed number form = 2 8/9
Step-by-step explanation:
Hope this helps
I suck at math help ill give brainliest
Answer:
3
Step-by-step explanation:
5x + 40 = 55
5x = 55 - 40
5x = 15
x = 15 / 5
x = 3
If car number plates have 3 English alphabet letters followed by 3 digits, how many of these start with ABC?
Answer:
351520000
Step-by-step explanation:
351520000
Explanation:
There are 10 possible digits for the numbers (0,1,2,...,9), and 26 possible letters (A,B,C,.....,Z).
Since repetitions are allowed, we have that for each letter used, 26 still remain for the next choice, and for each digit used, 10 still remain for the next choice.
Hence, by the multiplication principle, the total different number of letter permutations is
26
×
26
×
26
=
17576
and the total number of digit permutations is
10
×
10
×
10
=
1000
But now since they can be in any order, we basically require in how many different ways can 3 be chosen from 6 which is the combination
6
C
3
=
6
!
(
6
−
3
)
!
3
!
=
20
So for each of the original permutations of numbers and letters, we must consider the 20 different combinations of positions they can be in.
Therefore by the multiplication principle, the total possible different number plates is
17576
×
1000
×
20
=
351520000
What is the soultion to the following system of equations
{x+4y=-22
{3x-7y=29
Answer:
y= -1/4x - 11/2
y= 3/7x - 29/7
what is 15/4 as a whole number i've never been good at this and could us help
Answer:
3
Step-by-step explanation:
15/4=3 with a remainder of 3 . You take the 3 from your answer and it becomes the whole number.
a^1/2 x a^3/2 divide (a^3)^4
Answer:
3x
Step-by-step explanation:
Candy is sold out in 4 pound bags. How many full
Select all ratios equivalent to 3:5
Find the commission,
Earning Commission
Sales Commision Rate Commission
$710
6%
?
Answer:
$42.60
Step-by-step explanation:
(6/100)×710
= $42.60
The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs $8.00, how much should a pizza with an 11 inch radius cost? Round to the nearest hundredth.
Answer:
Step-by-step explanation:
14.7$
Complete the given ordered pairs for the equation.
y= 2x + 7
(7, )
(0, )
(-5, )
* means multiply
y = 2 * 7 + 7 = 14 + 7 = 21 -> (7,21)
y = 2 * 0 + 7 = 0 + 7 = 7 -> (0,7)
y = 2 * -5 + 7 = -10 + 7 = -3 -> (-5,-3)
3m^2 + 5n; if m = -4 and n = -13
Answer:
3m^2 + 5n = 3
Step-by-step explanation:
3(16) + 5(-13) =
48 - 45 =
3
Sean bought 1.8 pounds of gummy bears and 0.6 pounds of jelly beans and paid $10.26. He went back to the store the following week and bought 1.2 pounds of gummy bears and 1.5 pounds of jelly beans and paid $15.09. What is the price per pound of each type of candy?
Answer:
Gummy bears $3.20/lbs
Jelly beans $7.50/lbs
Step-by-step explanation:
For this we will substitute gummy bear price for "x" and jelly bean price for "y" which creates this system (also assuming there is no sales tax involved):
1.8x + 0.6y = 10.26
1.2x + 1.5y = 15.09
Then once solved, answers come out to be (x,y) = (16/5,15/2) which is (3.2,7.5)
Jessica has £600.
She gives 50% to her mother.
Jessica gives 10% to her brother.
She keeps the rest.
How much money does Jessica keep?
Answer:
she keeps 270
Step-by-step explanation:
have of 600 is 300 10 percent of 300 is 30
300-30 is 270
what is the perimeter, in grid units, of a regular octagon that has one side with endpoints (-4, -3) and (-4, 8)
Answer:
88
Step-by-step explanation:
Let's find the length of one side. The perimeter will be 8 times that since it's a regular octagon.
[tex]d= \sqrt{(-4+(-4))^2+(8-(-3))^2} = \sqrt{0^2+(11)^2}= 11[/tex]
Perimeter has to be [tex]8\times 11 = 88[/tex]
Can someone help?? Sooo hard
Answer:
Step-by-step explanation:
Easy pie bro
Name: Kakashi Sensei
loraine walked 4 miles up, riana walked 3 miles right, the distance between them wil be the hypotenusa which is probably 5, yes? It forms a right triangle:
dist² = 3² + 4²
dist² = 9 + 16
dist² = 25
dist = [tex]\sqrt{25}[/tex]
dist = 5
now draw that triangle on the grid and there you go
Find the slope of the line that passes through (1, 13) and (10, 6).
Answer:
-7/9
Step-by-step explanation:
Using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 6-13)/(10-1)
= -7/9
Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.
The trinomial for the rectangular rug is 3x² + 5x - 2
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
A trinomial is a polynomial with three terms.
The area of a rectangle = length * width
Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2
Area of rectangle = 3x² + 5x - 2
The trinomial for the rectangular rug is 3x² + 5x - 2
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y+4=-7(x-3)
can someone pls explain I'm so confused? In needs to be in slope int form
Answer:
so slop int form is y=mx+b
so start off by distributing the -7 to the x and -3
so that leave you with y+4=-7x+21
get it all on the same side
y-7x-17
Step-by-step explanation:
Answer:
y = m x + b .
y = − 7 x + 17
Step-by-step explanation:
Hope this helps!!! :))
If the start Time is 8:00 and the end time is 11:00.a.m,what is the elaped time? ?
Answer:
3 hours
Step-by-step explanation:
5% of ______ is 10
_____ % of 100 is 12
Step-by-step explanation:
let the number represent X
5/100xx=10
5x/100=10
then you cross multiply
5x=100x10
5x=1000
divide both sides by 5
X=1000/5 =200
what is 84 divided by -12
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step expla
-7 times -12 is 84
25 points and brainliest for correct answer pls
A = lw
A = 9
9 = lw
9 = (x + 2)(x + 3)
9 = x² + 3x + 2x + 6
9 = x² + 5x + 6
x² + 5x = 3
Answer:
A = lw
A = 9
9 = lw
9 = (x + 2)(x + 3)
9 = x² + 3x + 2x + 6
9 = x² + 5x + 6
x² + 5x = 3
Step-by-step explanation:
Show all work
which of the following lines is parallel to 2y=3x-1?
a. y = 1/2x - 1
b. 2y = x - 3
c. 4y = 6x + 8
d. y = 3x + 4
e. 3y = 2x - 3
Answer:
c. 4y=6x+8
Step-by-step explanation:
For lines to be parallel, they must have the same slope. To solve this problem, we need to isolate the y on one side of the equation (putting the equation into slope intercept form).
The equation itself must be divided by 2 to do that. We end up with y=1.5x-0.5. We need to find another equation that has 1.5 as the slope.
b. y=0.5x-1.5
c. y=1.5x+2
d. y=3x+4
e. y=2/3x-1
As we can see, the only other equation with a slope of 1.5 is C. Therefore, C is our answer.
1. It takes you 2 hours to travel 110 miles. How far can you travel in 5 hours?
Answer:
275 miles
Step-by-step explanation:
110/2 = 55 miles
you travel 55 miles an hour
multiply that by 5 to get your answer
equals 275 miles
Hope this is helpful.
Answer:
275 miles in 5 hours
Step-by-step explanation:
110/2 is 55. 55 is 1hour so multiply 55 times 5 and thats your answer.
Use the graph to answer the following…
Answer:
slope = 2 because it goes up by 2 and across 1
10 = 2(1)+b
10=2+b
-2 -2
b = 8
y intercept = 8
equation: y = 2x+8
yes it is proportional because it has a constant rate of change or slope
How do you solve the equation 4a+b=12
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*a+b-(12)=0
Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4a+b-12 = 0 and calculate its properties
Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000
b-intercept = 12/1 = 12.00000
When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000
a-intercept = 12/4 = 3
Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -8.000/2.000 = -4.000
Geometric figure: Straight Line
Slope = -8.000/2.000 = -4.000 a-intercept = 12/4 = 3 b-intercept = 12/1 = 12.00000Answer:
Step-by-step explanation:
Without having a numerical value for a (or b), you can't "solve this equation."
You can, however, solve it for either a or b, but not both.
For a: Subtract b from both sides. This results in 4a = 12 - b. Dividing both sides by 4 isolates a:
12 - b
a = --------------
4
For b: Subtract 4a from both sides. Then: b = 12 - 4a
-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?
A)0
B)1
C)2
D) Infinite
Answer:
C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula
Last year, the school's electric bill
was $1.740. If the bill was the same
price each month, how much did
the school spend on electricity each
month? ASAP!
Answer:
AINT NOBODY CARES ABOUT SCHOOL
but the amount they spent each month was 145$
What is the answer to 30a + 15b + 14b =
Answer:
30a + 29b
....................
Answer:
30a + 29b is the answer
We just need to add