The point that partitions segment AB in a 2: 1 ratio is point (5,19/3).
Suppose the point that partitions segment AB in a 2: 1 ratio is point (x,y)
What is the internal division formula?
The internal division formula for a line segment is given by:
[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2}[/tex]
[tex]y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]
Where (x₁,y₁) and (x₂,y₂) are endpoints of the line segment.
Coordinates of points A≡(1,3)
Coordinates of points B≡(7,8)
[tex]x=\frac{2*7+1*1}{1+2}[/tex]
[tex]x=5[/tex]
Similarly, [tex]y=\frac{19}{3}[/tex]
So (x,y)≡(5,19/3)
Hence, the point that partitions segment AB in a 2: 1 ratio is point (5,19/3).
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I NEED HELP PLEASE. What number of birds would be considered the MODE?
Answer:
20
Step-by-step explanation:
Answer:
20 is ur mode
hope this helped
Step-by-step explanation:
How many diagonals does a convex angle have?
Using the formula m= f(x2) - f(x1)/x2 - x1, what is the rate of change for the linear function that contains the
points (-3, 2) and (1,10)?
1/2
8
-4
2
Answer:
2
Step-by-step explanation:
The slope of the line through (-3, 2) and (1,10) can be found by lining up the point's vertically and subtracting then putting 2nd difference on top of first.
(1,10)
Minus
(-3,2)
-------
8/4=2
The slope is 2.
-6 ( x – 8) = 60
can you explain it step by step for me
Answer:
-2
Step-by-step explanation:
-6(x-8)=60
x-8=60/-6
x-8=-10
x=-10+8
x=-2
Solve The Two Equations for x.
Answer:
x = 7, x = 5
Step-by-step explanation:
[tex]\frac{3x+3}{8}[/tex] = 2x - 11 ( multiply both sides by 8 to clear the fraction )
3x + 3 = 16x - 88 ( subtract 3x from both sides )
3 = 13x - 88 ( add 88 to both sides )
91 = 13x ( divide both sides by 13 )
7 = x
--------------------------------------------------------------
[tex]\frac{4x-6}{7}[/tex] = 2 ( multiply both sides by 7 )
4x - 6 = 14 ( add 6 to both sides )
4x = 20 ( divide both sides by 4 )
x = 5
3x + 3 / 8 = 2x - 11
Multiply both sides by 8
8 × ( 3x + 3 / 8 ) = 8 × ( 2x - 11 )
3x + 3 = 16x - 88
Add both sides 88
3x + 3 + 88 = 16x - 88 + 88
3x + 91 = 16x
Subtract both sides 3x
3x - 3x + 91 = 16x - 3x
91 = 13x
Divide both sides by 13
91 ÷ 13 = 13x ÷ 13
7 = x
x = 7
_________________________________
4x - 6 / 7 = 2
Multiply both sides by 7
( 4x - 6 / 7 ) × 7 = 2 × 7
4x - 6 = 14
Add both sides 6
4x - 6 + 6 = 14 + 6
4x = 20
Divide both sides by 4
4x ÷ 4 = 20 ÷ 4
x = 5
What is the median of 8, 7.5, 6, 5.75, 10.25, 13.75, 6.5, 8.75, 9, 8, 9.25, 10, 8.25, 8.25, 9.25, 11, 6.75, 7, 9.5, 8.5
Answer:
8.375
Step-by-step explanation:
5.75,6, 6.5, 6.75, 7, 7.5, 8, 8, 8.25, 8.25, 8.5, 8.75, 9, 9.25, 9.25, 9.5, 10, 10.25, 11, 13.75
8.25 + 8.5 = 16.75
16.75/2 = 8.375
el valor de mis acciones ,tras subir un 5% es de 20,000 ¿Cuál era el valor anterior ?
Answer:
400,000
Step-by-step explanation:
Ok so, su ecusión es 0.05p = 20,000 p = 400,000
lo siento si esto está mal no soy genial con el español.
Write 3 expressions that can be used to find angle C.
Answer:
[tex]sin^{-1}(x) = \frac{55}{73} \\\\cos^{-1}(x) = \frac{48}{73} \\\\tan^{-1}(x) = \frac{48}{55}[/tex]
Step-by-step explanation:
Since you're finding the angle, you use the inverse of sin, cos, and tan.
what is equivalent to √1,620 / √180
Answer:
the answer is this! understand
find the height of the 6 -story building
Answer:
60 to 90 feet tall
Step-by-step explanation:
i just looked it up
the mean of 3,7,8,10 and x is 6 find x
Answer:
x = 2
Step-by-step explanation:
The mean is
3 + 7 + 8 + 10 + x
------------------------- = 6
5
Multiplying both sides by 5, we get:
3 + 7 + 8 + 10 + x = 30
Then 28 + x = 30, so that x must be 2
x = 2
Which quadrant of the coordinate plane has ordered pairs in the form of a positive number
and a negative number, (+,-)?
Y у
quadrant IV
10
-9
quadrant III
8
7
6
Quadrant
quadrant 11
Quadrant
II
5
4
quadrant 1
2
- 1
2
-Z
3
5
6
7
8
9
-10-9-8-7-6-5-4-3
10
-1 0
-1
-2
-3
-4
-5
Quadrant
III
Quadrant
IV
-6
-7
-8
-9
-10
Answer:
Quadrant IV
Step-by-step explanation:
On the graph, the x-axis numbers are positive and the y-axis numbers are negative
7, 3, -1, -5, … What is the 7th value in the sequence?
Answer:
- 17Step-by-step explanation:
7
3 = 7 - 4
-1 = 3 - 4
-5 = -1 - 4
so the 5th: -5 - 4 = -9
the 6th: -9 - 4 = -13
and the 7th: -13 - 4 = -17
WHICH EXPRESSION HAS THE GREATEST VALUE
Answer:
The second, 16^3/2
Step-by-step explanation:
The first is equal to 16
The second is equal to 64
The third is equal to 16
The fourth is equal to 16
The required, greatest volume among the given number is [tex]16^{3/2}[/tex].
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
Here,
The given number,
∛64² simplified to 16,
[tex]16^{3/2}[/tex] simplified to 64.
√16² simplified to 16
∛8⁴ simplified to 16
Thus, the required, greatest volume among the given number is [tex]16^{3/2}[/tex].
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Please answer 7 and 8, ill give brainliest
Peter has an average daily balance on his credit card of $127.50. His credit card charges 14.99% annual interest. What will his monthly finance charge be
Answer:
$1.59
Step-by-step explanation:
monthly finance charge = average daily balance x monthly interest
monthly interest = 14,99% / 12 = 1.249%
1.249% x $127.50 = $1.59
1/3+a=5/4 what does a=
Answer:
A is equal to a=11/12
Step-by-step explanation:
TRUE OR FALSE (answer these two questions)
800 is a compatible number that is close to 704
Spencer should add compatible numbers to fund the estimate. (The number is 704)
Solve for x. (round to the nearest tenth)
This is for my high school final exam so please answer fast
Step-by-step explanation:
(sin90)/20= sin67)/x
x= 18
Describe the trend/correlation
shown in the scatter plot below
Answer:
Negative correlation.
Step-by-step explanation:
Negative correlation means that as x increases, y decreases
Positive correlation means that as x increases, y also increases.
No correlation means that neither of the two above cases happens.
In the graph, we can see that on the right (when x is negative) the general y values are larger.
As x increases, the y-values decrease.
(Particularly, we could adjust these data with a linear equation with a negative slope)
Then this is a negative correlation.
Who is correct?
PLease answer ASAP!! pls (:
Answer: Isaiah is correct because you can never be sure whether it’s gonna be a queen but you can be sure that the card could be red
Step-by-step explanation:
1
Which expression is equivalent to al3 + ?
Answer: A
Step-by-step explanation: Hope this help :D
The sum of two numbers is 20.The difference is 4 what are the numbers?
What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, ,1/9, 1/27
Answer:
1/3
Step-by-step explanation:
Take the second term and divide by the first
9/27 = 1/3
Take the third term and divide by the second
3/9 = 1/3
Check each subsequent ratio, we can see the common ratio is 1/3
what is 3.72 x 10*5 divided by 6 x 10*2
Answer:
1.55
Step-by-step explanation:
In a survey, 12% of people have no pets,
44% of the people have 1 pet, 16% of the
people have 2 pets, and 28% have 3 or
more pets. If 126 people have 2 or fewer
pets, how many people were in the
survey?
126=12%+44%+16%=72%
175/100=1.75
1.75*72=126
so there was 175 people in the server
whats 10.50x +64=300
Answer:
74.5
Step-by-step explanation:
PLZ HELP!!!!!
Calculate x
Answer:
x = 31
Step-by-step explanation:
The two triangles are similar, so [tex]\triangle{NPO} \sim \triangle{YZO}[/tex].
Vertex N matches up with vertex Y.
Vertex P matches up with vertex Z.
Vertex[tex]\frac{NO}{YO}=\frac{1}{4}\\\\\frac{x}{124}=\frac{1}{4}\\\\4x=124\\\\x=31[/tex] O matches up with itself.
Corresponding sides are in proportion. To find the proportion between the two triangles, you use known sides from each.
[tex]\frac{NP}{YZ}=\frac{23}{92}=\frac{1}{4}[/tex] meaning the small triangle is 1/4 the size of the large one.
To find x , notice that it is side NO which corresponds to side YO from the large triangle.
Given triangle ADE shown below with overline BC || overline DE . if AB=16, BD=8, and DE = 30, which of the following is the length of overline BC
1) 20
2) 60
3) 15
4) 22
Please help,
NO LINKS PLEASE
Answer:the photo is to bleary
Step-by-step explanation: