Answers
Answer:
C. [tex]B(x,y) = \left(3,-\frac{16}{3} \right)[/tex]
Step-by-step explanation:
Let [tex]A(x,y) = (6,-7)[/tex], [tex]B(x,y) = (x,y)[/tex] and [tex]C(x,y) = (-3,-2)[/tex]. From statement we know that [tex]AB = \frac{1}{2}\cdot BC[/tex], which is equivalent to the following linear algebraic formula:
[tex]B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)][/tex] (1)
[tex]B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)[/tex]
[tex]\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)[/tex]
[tex]B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)[/tex] (2)
Then, the coordinates of point B on AC are:
[tex]B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)[/tex]
[tex]B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)[/tex]
[tex]B(x,y) = \left(3,-\frac{16}{3} \right)[/tex]
Which means that correct answer is C.
Related Questions
(15×4)÷6[{32÷4(7×2-15+5)}+4
Answers
The brackets are powers.
Round each mixed number to the nearest whole number and then estimate the sum.
12 11/14+ 2 5/7
Answers
Answer:
Answer is 10.86
Step-by-step explanation:
12x11/14 + 10/7
=132/14 + 20/14
=152/14
=10.86
A gym owner has some red weights and some purple weights. The red weights are 8 kilograms each, and the purple weights are 3 kilograms each. The owner has 10 weights, and they weigh 55 kilograms in all. How many of each color weight does he have?
Answers
Answer:
7 red weights and 2 purple
Step-by-step explanation:
Answer:
5 purple weights and 5 red weights
Step-by-step explanation:
Find the area of the surface generated by revolving the curve about each given axis.
x = 2t, y = 6t, 0 ≤ t ≤ 9
Answers
hOw dO I rUn??????????????????????????????????????????????
Answers
It's like walking but faster, so you go faster like sonic lol.
claudia earns overtime pay when she works more then 40 hours in a week how many hours of overtime pay did she work for the week of march 4
Answers
Clara has a purse in the shape of a trapezoid.The top of the purse measures 22 cm while the bottom of the purse measures 36 cm. If the area of the purse is 754 cm, what is the height?
Answers
Step-by-step explanation:
this is you're answer 38
Help me out here pleaseeeeeeeee
Answers
Answer:
1 1/5
Step-by-step explanation:
1 and 1 fifth as a fraction.
The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 20 golfers play a round of 18 holes on his golf course and records their scores. Later that week, he has the same 20 golfers play a round of golf on his friend's course and records their scores again. The average difference in the scores (treated as the scores on his course - the scores on his friend's course) is 8.9 and the standard deviation of the differences are 11.986. Calculate a 99% confidence interval to estimate the average difference in scores between the two courses.
Answers
Answer:
(1.985, 15.815)
Step-by-step explanation:
Given that:
Sample size (n) = 20
Standard deviation (s) = 11.986
Mean (m) = 8.9
α = 99%
Using the relation :
Confidence Interval = Mean ± Error
Where ;
Error = Zcritical * standard deviation / sqrt(n)
Zcritical at 99% = 2.58
Hence,
Error = 2.58 * (11.986/sqrt(20))
Error = 2.58 * 2.6801510
Error = 6.91478958
Hence,
Lower boundary = 8.9 - 6.91478958 = 1.98521042
Upper boundary = 8.9 + 6.91478958 = 15.81478958
(1.985, 15.815)
Write the expression using exponents.
Answers
Answer:
6v^5
Step-by-step explanation:
you would leave the 6 alone. since there is 5 of the same variable, you would put 5 as your exponent
Which situation can be represented by the expression -2+(-1)
Choose 1 Answer:
Answers
Answer:
A
Step-by-step explanation:
I checked on khan
Evaluate this expression for a=2 and b=3. (a+5)-b/b-4+2(b+3)/a
Answers
Answer:
16
Step-by-step explanation:
[tex](a+5)-\frac{b}{b-4}+\frac{2(b+3)}{a}\\\\a=2\\\\b=3\\\\(2+5)-\frac{3}{3-4}+\frac{2(3+3)}{2}\\\\=7-\frac{3}{-1}+3+3\\\\=7+3+6\\\\=16[/tex]
5x+2=7x-4 what is x and if you can how you did it
Answers
Answer:
x=3
Step-by-step explanation:
2 = 7x−4−5x
2 = 2x−4
2+4 = 2x
6 = 2x
[tex]\frac{6}{2}[/tex] = x
3 = x
x = 3
I think the answer is X = 3
Write the next three terms of the arithmetic sequence.
First term: 2
Common difference: 13
The next three terms, in order, are, and
Answers
Answer:
So the first term is two so you start on the second term. 15,28,41
An arithmetic sequence having first term 2 and a common difference of 13 then the next terms are 15, 28 and 41.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, An arithmetic sequence having first term 2 and a common difference of 13.
Therefore the next terms are (2+13), (2 + 2×13), (2 + 3×13).
= 15, 28, and 41.
learn more about arithmetic sequence here :
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choose all of the points that are solutions to y = 3x + 2 / 2x - 1.
A.(-2, 4/5)
B.(-1, -5)
C.(0, -2)
D.(0, -2/3)
E.(1, 3/2)
F.(1, 5)
G.(4, 14)
Answers
Answer:
a d f g
Step-by-step explanation:
Answer:
its abfg
Step-by-step explanation:
Mai runs around a track at a constant speed of 750 meters in 30 minutes . How many minutes per meter is that? And how many meters can she run in 6 minutes?
Answers
Answer:
25 meters per minute
150 in 6 minutes
Step-by-step explanation:
Please help me please!!
Answers
Answer:
False
Step-by-step explanation:
2x - y = 0
-2x + 2y = 9
Add the equations.
y = 9
(3, 6) is not a solution because in the solution, y = 9.
Answer: False
Answer:
the answer to question 3 is false, and the answer to question 4 is c. (2, 9)
Step-by-step explanation:
they deleted my answer again, anyways i hope this helps! :D
what is the solution to 13 x is greater than -5
Answers
Answer:
x> -5/13
Step-by-step explanation
x > -5/13
x > -0.38
4÷5/9
pleeeease helpppp
Answers
Answer:
36/5 or 7 1/5
Step-by-step explanation:
4 divided by 5/9
4 x 9/5. change the divide to multiply & the fraction to the reciprocal
=36/5 or 7 1/5
I'M GIVING OUT BRAINEST!!!
Line m has a slope of -5. What is the slope of a line parallel to line m?
Answers
Answer: -5
Step-by-step explanation:
parallel lines have equal/same slope
There are 64 species of animals in the metropolitan zoo
5/8 are from North America
1/4 are from Africa
The remaining are from South America
How many species are from South America
Answers
Answer:
8 species are from South America
Step-by-step explanation:
In order to find the answer to this, you need to make the denominators of the North American and African species the same.
To do this, multiply 1/4 x 2/2.
You would then get 2/8. This means 2/8 of the species are African
Since you now have the same denominator, add the fractions together, and the total amount of North American and African species is 7/8, leaving 1/8 for the South American species.
You would then divide 64 by 8 to see how much 1/8 is worth in terms of how many species, and would then get 8.
Who knows the answer for this question
Answers
Answer: 7
Work: So, the goal is to get z alone, so we are going to add 85 on both sides, cancelling on the side it's currently on. So, the new equation is going to be 25z = 175. Then, to get z even more lonely, we are going to divide 25 on both sides, and again cancelling it on the side it's currently on. So, the answer is z = 7. I hope this helps, and Happy Holidays! :)
Find the equation of a parabola with a focus at (3,1) and a directrix at y = 3.
Question 5 options:
A)
y = 1∕4(x – 3)2 + 2
B)
y = –1∕4 (x – 3)2 + 3
C)
y = –1∕4 (x – 3)2 + 2
D)
y = 1∕4(x – 3)2 + 3
Answers
Answer:
c ) y = –1∕4 (x – 3)2 + 2
Step-by-step explanation:
Answer:
directrix is; y= {-5}
Step-by-step explanation:
Y-5=1/3
Helpppp!!!!!!
Answers
Answer:
8
Step-by-step explanation:
Store A sells a watch for $50 and offers a 5% discount Store B sells the same watch for $60 and offers a 20% discount. From which store should you buy your
watch and why? Help please!!
Answers
Answer:
You should buy the watch from Store A because it's cheaper
Step-by-step explanation:
Store A sells a watch for $50 with a 5% discount.
Let's calculate the sale price. The 5% discount is
5/100*$50 = $2.50
The sale price is $50 - $2.50 = $47.50
Now for Store B. The price of the watch was $60 with a 20% discount.
Calculate 20% of $60:
20/100*$60 = $12
The sale price is $60 - $12 = $48
Thus, you should buy the watch from Store A because it's cheaper
If I had 1 banana then I ate that banana how many of the banana would I have hint the peal First person gets brainliest
Answers
Answer:
the peel
Step-by-step explanation:
You are at a European beach with 60 other visitors. 36 of them speak English. If you randomly meet two people on the beach, what is the probability that they both speak English
Answers
Answer:
Assuming I'm one of the 36 English speakers and the other 24 speak Spanish for illustration purposes. The problem can be modeled as 59 marbles with 35 E and 24 S marbles as N = 59 possible outcomes = n(E) + n(S) = 35 + 24.
So I reach into the pile of marbles (on the beach) and the probability that it's p(E) = n(E)/N = 35/59 = 0.593220339 when I meet the one person. ANS
I assume I remember that first person; so I remove him from the marbles (by avoiding him on the beach) and now my probability is p(E and E) = n(E)/N * n(E)-1/(N - 1) = 35/59*34/58 = 0.347749854 ANS
Following the same logic p(E and E and E) = 35/59*34/58*33/57 = 0.201328863 ANS
This last one is different from the first three. This one is p(E >= 1|4 attempts). We can trace out a probability tree to identify those branches that contain at least one E event. So:
EEEE p() = 35/59 * 34/58 * 33/57 * 32/56 =
EEES p() = 35/59 * 34/58 * 33/57 * 24/56 =
EESE p() = 35/59 * 34/58 * 24/57 * 33/56 =
ESEE p() = 35/59 * 24/58 * 34/57 * 33/56 =
SEEE p() = 24/59 * 35/58 * 34/57 * 33/56 =
EESS p() = 35/59 * 34/58 * 24/57 * 23/56 =
ESES p() = 35/59 * 24/58 * 34/57 * 23/56 =
SEES
SESE
SSEE
ESSS And so on, but...a big BUT...why do all this when
SESS
SSES
SSSE
SSSS
p(E>=1|4) = 1 - p(S and S and S and S) = 1 - 24/59 * 23/58 * 22/57 * 21/56 = 0.976652619 ANS. In other words we find the probability of not meeting an Englishman and take 1 minus that value to find the probability of meeting at least one.
00
Step-by-step explanation:
Simplify: √(√21 -2√7)^2
WILL AWARD BRAINLIEST TO THE CORRECT ANSWER!!
Answers
Answer:
Solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex]
We know that [tex]\sqrt{x} = x^{\frac{1}{2}}[/tex]
Solving:
[tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}\\=((\sqrt{21}-2\sqrt{7} )^2)^\frac{1}{2}[/tex]
We know that [tex](a^2)^\frac{1}{2}=a[/tex]
= [tex]\sqrt{21}-2\sqrt{7}[/tex]
So, solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]
Jeremy can row 3/8 of a mile in 1/4 of an hour.
What is the unit rate that describes the miles
per hour?
Answers
Answer:
3/2 mph
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] = [tex]\frac{r}{4}[/tex]
cross-multiply: 8r = 12
r = 12/8 or 1.5 mph
12. Find the values of x and y in the diagram below.
Answers
Answer:
x = 15
y = 19
The value of the x and y are; 11/6, -5 and 18/4 in the linear equation.
What is linear equation?The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given parameters;
The equations are;
(4y - 18)
(6x - 11)
(x + 5)
Now put all equation equal to zero.
Then;
4y - 18 = 0
y = 18/4
And then;
6x - 11 = 0
x = 11/6
And
x + 5 = 0
x = -5.
Hence, In the linear equation, value of the x and y are 11/6, -5 and 18/4.
Learn more about linear equation here;
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