(a)first term=2
(n)no of term=10
(r)common ratio=8/2=4
sn={a(r^n-1)}÷(r-1)
s1o={2(4^10-1)}÷(4-1)
s10={2(1048576-1)}÷3
s10=2097150÷3
s1o=699050
Line segment EG is partitioned by point F in the ratio 1:1. Point E is at E (0, 4), and point F is at (1, 3). What are the coordinates of point G?
(−1, 5)
(2, 2)
(3, 1)
(4, 0)
Answer:
2,2
Step-by-step explanation:
I don't really know how to explain it, but if you plot E and F on a coordinate plane it would make more sense.
*Note that the ratio 1:1 is not the same as the fraction 1/1, rather, 1:1 = 1/2 so point F is like a midpoint of segment EG
The coordinates of point G is (2,2)
The coordinate points are given as:
[tex]E = (0,4)[/tex][tex]F = (1,3)[/tex]The ratio is given as:
[tex]m : n = 1 : 1[/tex]
Given that the ratio is 1 : 1, it means that, point F is at the midpoint of line segment EG
So, we have:
[tex]F =0.5 \times (x_1 + x_2, y_1 + y_2)[/tex]
This gives
[tex](1,3) =0.5 \times (0 + x, 4+ y)[/tex]
[tex](1,3) =0.5 \times (x, 4+ y)[/tex]
Multiply both sides by 2
[tex](2,6) =(x, 4+ y)[/tex]
By comparison, we have:
[tex]x = 2[/tex]
[tex]4 + y = 6[/tex]
[tex]y =2[/tex]
Hence, the coordinates of point G is (2,2)
Read more about line partitions at:
https://brainly.com/question/11280112
PLEASE HELPPP
Which triangles are similar? Which sides are proportional?
Answer:
Triangle CBB1 and Triangle CAA1 are similar and line B to B1 and line A to A1 are proportional.Step-by-step explanation:
Answer:
ΔAC[tex]A_{1}[/tex] ≈ Δ[tex]B_{1}[/tex]CB
Step-by-step explanation:
proportional sides:
AC ≈ [tex]B_{1}[/tex]C
C[tex]A_{1}[/tex] ≈ CB
A[tex]A_{1}[/tex] ≈ B[tex]B_{1}[/tex]
Triangle DEF is shown below.
The triangle similar to DEF will have an angle that measures 80 degrees, an angle that measures 55 degrees, and an angle that measures 45 degrees.
Similarity of TrianglesTwo triangles are considered to be similar if their corresponding angles are congruent and sides are in proportion.
How to find angles if two triangles are similar?The triangle DEF is similar to any other triangle.
Consider the following figure.
So, [tex]100^{o} + x^{o} = 180^{o}[/tex]
[tex]x^{o} = 180^{o} - 100^{o}[/tex]
[tex]x^{o} = 80^{o}[/tex]
Also, [tex]y^{o} +135^{o} = 180^{o}[/tex]
[tex]y^{o} = 180^{o} -135^{o}[/tex]
[tex]y^{o} = 45^{o}[/tex]
The sum of all angles of a triangle is [tex]180^{o}[/tex].
So, angle D + angle E + angle F = [tex]180^{o}[/tex]
That is, [tex]80^{o}+z^{o} + 45^{o}=180^{o}[/tex]
Simplify further
[tex]z^{o} =55^{o}[/tex]
Thus, the triangle similar to DEF will have an angle that measures 80 degrees, an angle that measures 55 degrees, and an angle that measures 45 degrees.
Learn more about the similarity of triangles here-
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Answer:
Step-by-step explanation:
1=1
What are the factors of -7 pls explain!
Type the symbol in the box. 8 /10_ 80/100
Answer:
They are equivalent because they both equal .8 no matter what
Step-by-step explanation:
[tex]\rm The\; \bold {answer}\; is\; the \; expresion \;\;\;\dfrac{8}{10} = \dfrac {80}{100}[/tex]
What is a mathematical expression ?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
A math expression is different from a math equation. An equation will always use an equal (=) operator between two math expressions.
Expression is (Number/variable, Math Operator, Number/variable)
Here in the given question The left hand side can be simplified to
0.8 and the right hand side can also be simplified to 0.8.
Therefore
[tex]\rm \dfrac{8}{10}\;\;\;\;\bold{ \underline{=}} \;\;\;\;\dfrac {80}{100}[/tex]
To know more about mathematical expression
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15 POINTS pre algebra I think
Answer:
28.6 (90% sure)
Step-by-step explanation:
To solve this work backwards
[tex]D_{3}[/tex]=42
[tex]D_{2}[/tex]=42*.80 = 33.6
[tex]D_{1}[/tex]=33.6-5 = 28.6
Given v = (-3, 4), what is ||3v|?
9514 1404 393
Answer:
15
Step-by-step explanation:
||3v|| = ||(-9, 12)|| = √((-9)² +12²) = √225
||3v|| = 15
_____
Additional comment
The (3, 4, 5) Pythagorean triple shows up in numerous algebra, geometry, and trigonometry problems. This is one of them. Once you identify the magnitude of v as the hypotenuse of a triangle with legs 3 and 4, you know immediately that ||v|| = 5 and ||3v|| = 15.
It’s really hard and I need help and can also explain to me how you got the answer
Answer:
question 4 = 5
the mobile is of equal weight you have 5 of one item which is 5 X 4 = 20. there are 4 circles so 20/4 = 5
question 5 = 16
again mobile is shown to be equal you have 16 altogether on one side therefore the hexagon = 16
question 6 = 3
you are told there is 18 on each side.
you've already been given the leaf worth 6
18/2 = 9
9-6 = 3
star = 3
question 7 diamond = 2, heart = 12
again the mobile is shown to be equal. the mobile is a total 24, you've already been given 12 so the heart is = to 12 the other side both sides need to add up to 6 to make 12 so the diamond = 2
question 8 diamond = 3, heart = 16
44/2 = 22
22/2= 11
both sides need to add up to 22
For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile m you walk. Write an expression for the total amount you will collect from your sponsor at the end of the walk-a-thon.
Answer:
5 + 2m = y
Step-by-step explanation:
5 being the y-intercept or initial cost
m being miles
5 + 2m = y (where y is the total amount at the end)
What is the result when you combine only the constants in the following expression? 3 a minus 6 b + 3 minus 7 a + 10
PLZ HURRY
Answer:
3a - 6b - 7a + 13
Step-by-step explanation:
srry if Im wrong
Answer:
13
Step-by-step explanation:
Its asking for the constants and the constants in the equation are 3 and 10
So 3+10= 13
y= -3+ 2x
3x+2y=2
I need help ASAP
What the solution for this someone pls
HELP
What is the axis of symmetry for the parabola shown?
A)
x = 0
B)
x = 2
C)
y = 1
D)
y = -3
solve the linear eqvations by matrix inversion method 2x -2y = 4 , 3x + 2y = 6
Answer:
The answer is below
Step-by-step explanation:
A linear graph has an equation of the form:
y = mx + b,
where y and x are variables, m is the slope (rate of change) of the graph and b is the y intercept (value of y when x is 0).
Given that:
2x -2y = 4 , 3x + 2y = 6
The matrix form of the equation is:
AX = B
[tex]A=\left[\begin{array}{cc}2&-2\\3&2\end{array}\right] ,X=\left[\begin{array}{c}x\\y\end{array}\right] ,B=\left[\begin{array}{c}4\\6\end{array}\right] \\\\Therefore:\\\\\left[\begin{array}{cc}2&-2\\3&2\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\6\end{array}\right] \\\\\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{cc}2&-2\\3&2\end{array}\right]^{-1} \left[\begin{array}{c}4\\6\end{array}\right] \\\\[/tex]
[tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{cc}0.2&0.2\\-0.3&0.2\end{array}\right] \left[\begin{array}{c}4\\6\end{array}\right] \\\\\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\0\end{array}\right][/tex]
Help pls !!!!!!!!!!!!!!!
Answer:
8,64,216,512
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-4,-5)and (8,-9)
Answer:
y = 3x - 13
Step-by-step explanation:
slope of line segment is -1/3 so a segment perpendicular to this would need a slope of 3
the midpoint for the segment is (2, -7); midpoint formula is [([tex]x_{1}[/tex]+[tex]x_{2}[/tex]/2), ([tex]y_{1}[/tex]+[tex]y_{2}[/tex]/2)]
using slope of 3 and point (2, -7) we can plug into y = mx + b
-7 = 3(2) + b
-7 = 6 + b
b = -13
Write the equation for the line that passes through the point (-3, 5) and is perpendicular to the x axis
Answer:
x = -3
Step-by-step explanation:
this slope is a straight, vertical line passing through (-3, 5)
find the volume of a cuboid with base area 24cm and hieght 3cm
Step-by-step explanation:
base area×hieght
=24cm²×3cm
=72cm³
Answer:
0.72 m³
Step-by-step explanation:
Volume of a cuboid = area × height of cross section.
Given :
area of base = 24 m² .
height = 3 cm = 0.03 m
Hence the volume = 24 m² × 0.03 m
⇒ 0.72 m³
(I used this from another brainly user)(I did not write this)
Which equation will not result in a negative answer?
a) Five plus its additive inverse
b) The difference of -4 and -2
c) (-8]
d) The product of a positive integer and a negative integer.
e) 7 - x>-10
D
Step-by-step explanation:
I just took the test and I got it write
Which function results after applying the sequence of transformations to
(x) = x^5?
• compress vertically by
1/2
• shift left 2 units
• shift down 1 unit
What is the sum of the geometric series
'' In math, a geometric series is a series with a constant ratio between successive terms.
Please help me with the question
Answer:
....................
Solve for n: 2n < 6
Math pls answer this
Answer:
n can be a number less than 3
Step-by-step explanation:
Hope this helps!
Answer:
N<3
Step-by-step explanation:
What is...
1 + 1? this is for easy points
Whoever answers first gets brainliest!
Answer:
2
Step-by-step explanation:
Please helpppppppppppppp!!!! -for geometry
Answer:
statements:
1.A)
2. F)
3. B)
4. D)
Find the value of x with shown work
Answer:
90
Step-by-step explanation:
You have a bag of 15 marbles. 8 are red. 5 are blue. 2 are green. If you pull out two marbles without replacement, what is the probability that one, but not both, of them, will be blue?
a
33.3%
b
57.1%
c
66.6%
d
47.6%
Answer:
a 33.3 percent
Step-by-step explanation:
<hdhdhdhdhhdhdhdhdd
Answer:
D. 47.6%Step-by-step explanation:
GivenTotal marbles = 15Blue marbles = 5SolutionThere are two possible scenarios
1. First marble is blue and second marble is not blue:
P(blue) = 5/15 = 1/3P(not blue) = 10/14 = 5/7P(blue and not blue) = 1/3*5/7 = 5/212. First marble is not blue and second marble is blue:
P(not blue and blue) = 10/15*5/14 = 2/3*5/14= 5/21The probability that one, but not both, of them, will be blue:
5/21 + 5/21 = 10/21 = 0.476 = 47.6%Correct option is D
Complete the statements by filling in the blank. When constructing a confidence interval, to increase the level of confidence, you must ________ [increase/decrease] the margin of error and the confidence interval will be _________ [narrower/wider]. A larger sample size will improve the precision of the confidence interval, therefore, all things being equal, a larger sample size will result in a __________ [smaller/larger] margin of error and the confidence interval will be _________ [narrower/wider].
Answer:
Increase; wider; smaller; narrower.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
A confidence interval can be defined as a measure of the number of times that a population parameter would be within a given set of data. Thus, it is an estimate of the uncertainty of a given statistical data.
When constructing a confidence interval, to increase the level of confidence, you must increase the margin of error and the confidence interval will be wider. A larger sample size will improve the precision of the confidence interval, therefore, all things being equal, a larger sample size will result in a smaller margin of error and the confidence interval will be narrower.
Hence, for an estimator to be consistent it must have both a small bias and small variance.
If a ÷ b = 2 and b ÷ c =3/4, what is the value of c ÷ a? Express your answer as a common fraction.
Thx guys!
Answer:
a/b = 2
so , a = 2b
b/c = 3/4
so , c = 4b/3
c/a = (4b/3) / 2b
which gives 2/3
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{b}{c} = \frac{3}{4} \\ 3c = 4b \\ c = \frac{4b}{3} [/tex]
[tex] \frac{a}{c} = 2 \\ a = 2b[/tex]
I will give brainliest to who ever answers first
Answer:
Y= x times -2
Step-by-step explanation:
it just is, look at the others online
Answer:
y=-2x
Step-by-step explanation:
IF YOU ANSWER THE THE QUESTIONS I WILL MARK YOU THE BRAINILY PLSSS HELP
Answer:
4. Obtuse
5. Right
6. Acute
Step-by-step explanation:
Pythagorean Theorem.
a^2 + b^2 = c^2
a + b > c = Acute
a + b < c = Obtuse
a + b = c = Right