Answers
[tex] \boxed{(6, -3)} [/tex]
Step-by-step explanation:
Given the ratio 5:3
and Points A and B where A is located at (-6, 3), and B is located at (26, -13).
Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].
(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].
(26, -13) → [tex] (x_{2}, y_{2}) [/tex].
Let 5 be n, and 3 be m.
5:3 → n:m
[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].
To solve, just substitute these variables into the expressions of these coordinates to get the answer.
[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →
[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →
[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →
[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →
[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →
[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]
→
[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]
→
[tex] (6, -3) [/tex].
Thus the coordinates of B are:
[tex] \boxed{(6, -3)} [/tex]
Answer:
Step-by-step explanation:
AB:BC::5:3
let the coordinates be (x,y)
[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]
coordinates of B are (14,3)
Related Questions
please help me!! 15 points for this
Answers
Answer:
snsbsjhwjwjwhjwjwjsjsjjsjsejejejjejejejejwjjwjwj
What is the value of 1-121?
A. -12
B.
-12
O
C.
12
OD. 0.12
O
E. 12.
Answers
Answer:
-120
Step-by-step explanation:
1-121 =
121 - 1 = 120
It becomes a negative because 1 is less than 121
i NEED HELP ASAP Plot the image of point C under a dilation about point P with a scale factor of 2
Answers
the next point will be 5 units right from point C
sorry for being so late!! :))
Answer: plot the point 5 units to the right from C
Step-by-step explanation:
1. Find point c
2. Then go 5 units to the right
3. Plot your point
3. In a thunderstorm, the wind velocity in meters per second can be described by the function
v(p)=5.7998−p‾‾‾‾‾‾‾√,
where
p
is the air pressure in millibars. What is the air pressure of a thunderstorm in which the wind velocity is 49.3 meters per second? Round your answer to the nearest tenth of a millibar.
Answers
Answer:
p = 923.2 millibar
Step-by-step explanation:
Given that,
The wind velocity can be described by the function as follows :
[tex]v(p)=5.7\sqrt{998-p}[/tex]
Where
p is the air pressure in millibar
Put v = 49.3 m/s in the above function.
[tex]49.3=5.7\sqrt{998-p}[/tex]
Squaring both sides,
[tex]49.3^2=(5.7\sqrt{998-p})^2\\\\2430.49=32.49(998-p)\\\\\dfrac{2430.49}{32.49}=(998-p)\\\\74.80=(998-p)\\\\p=998-74.80\\\\p=923.2\ mbar[/tex]
So, the required pressure is equal to 923.2 millibar.
The rectangle below has an area of x^2-7x+10x 2 −7x+10x, squared, minus, 7, x, plus, 10 square meters and a width of x-5x−5x, minus, 5 meters.
Answers
What is the decimal that is equivalent to the fraction 59/100
Answers
Answer:
0.59
59/100 as a decimal is 0.59. Step-by-step explanation:
PLEASE HELP ASAP! Thank you!
Answers
Answer:
a^3b√2b/14
Step-by-step explanation:
I hope this helps
In a geometric sequence, the first term is 3 and the common ratio is 2. What is the sum of the first 9 terms?
a .99
b. 1022
c. 1533
d. 765
Answers
Step-by-step explanation:
99 is the answer........
The sum of the first 9 terms of the given GP series will be 1533 thus option (c ) is correct.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
Let's say the first term of the given GP is a and the common ratio is r.
a = 3 and r = 2
The Sum of n term is given as,
S = a([tex]r^{n}[/tex] - 1) / (r - 1)
S₉ = [3(2⁹ - 1)/(2 - 1)]
S₉ = 1533
Hence "The sum of the first 9 terms of the given GP series will be 1533".
For more information about the geometrical progression,
brainly.com/question/4853032
#SPJ2
Let a be a number.
a*23 x a*8 =
Answers
Answer:
If a is a number then
[tex]a^{23} * a^{8} =a^{23+8} =a^{31}[/tex]
Step-by-step explanation:
Answer:
a=31
23+8=31
...........
please help
1. find 15% of 120
2. what percent of 72 is 68.4
3. 12.5 is 8% of what number?
4. 48 is 40% of what number
5. what number is 62.5% of 195
Answers
1% = 120 ÷ 100 = 1.2
15% = 1.2 × 15 = 18
So, 15% of 120 is 18
For question 2:
68.4 ÷ 72 = 0.95
0.95 × 100 = 95%
So, the percentage is 95%
For question 3,
1% = 12.5 ÷ 8 = 1.5625
100% = 1.5625 × 100 = 156.25
So, 8% of 12.5 is 156.25.
For question 4,
1% = 48 ÷ 40 = 1.2
100% = 1.2 × 100 = 120
So, 40% of 48 is 120.
For question 5,
1% = 195 ÷ 100 = 1.95
62.5% = 1.95 × 62.5 = 121.875
So, 62.5% of 195 is 121.875
Answer:
1. 18 3. 52 5. 95%
Step-by-step explanation:
1. 120 x 0.15= 18.00 (15% of 120 is 18)
3. 84 x 0.03= 2.52
5. 72• x / 72 = 68.4/ 72
x=0.95 ⇒ 95%
Find the probability of at least one
failure in five trials of a binomial
experiment in which the probability of
success is 30%.
Round to the nearest tenth of a
percent.
Answers
Out of 5 trials, "at least one failure" = " at most four successess", so the probability you're looking for is
[tex]P(X\le 4) = \displaystyle\sum_{x=0}^4 \binom5x 0.30^x (1-0.30)^{5-x} \approx 0.99757 \approx \boxed{99.8\%}[/tex]
what is the answer to 13+(-19)
Answers
Answer:
13+(-19)=13-19=-6 is your answer
Answer:
[tex]13 + ( - 19) \\ 13 -19 \\ = -6[/tex]
PLS MARK ME BRAINLIEST
A bag contains 10 discs.
Each disc is labelled with a different number from 1 to 10.
A disc is chosen from the bag at random.
Write down the probability that the chosen disc is the number 3
Answers
Explanation: There are 10 discs in the bag so if you choose a 3 there is a 1 in 10 chance of you getting it
Which of the following equations corresponds to the graph below?
Answers
Your equation is y=-3/8x+3 because if you do rise over run you get a slope of -3/8 and the y intercept is 3.
Hope this helped!
When is a parallelogram also a rectangle?
Sometimes
Sometimes
Always
Always
Never
Never
Just on Fridays
Answers
please answer fast need help
Answers
An athlete ran 10 times around the circular track shown below. Approximately how many meters did the athlete run?
Answers
Answer:
Step-by-step explanation:
Since the picture isn't given. I have no idea what the radius or diameter is and as such, have no definite answer for you.
However, from the question, if he's to run round the circular track once, then he must have run a total of
2πr meters, with r being the radius.
Now, the question says that he ran round the track 10 times, this means that whatever value we get there, for 1 trial, we multiply it by 10, to get the value for 10 trials. Essentially,
10 * 2πr
The value gotten is the needed answer. All you have to do is substitute r for the value you have in your diagram. We already know that π is 3.142
Wendy borrowed a 400-page book from the library. She read 50 pages. The book is due in 5 days. Complete the inequality to find x, the number of pages Wendy must read to finish the book ?
Answers
Answer:
350 Pages or 70 pages a day
Step-by-step explanation:
If the book is 400 pages long and she already read 50 pages she only needs to read 350 pages.
4
Nora draws a figure on a piece of paper
as shown.
8 cm
7 cm
What is the area of her figure? Use 3.14
for
A 53.12 cm?
© 106.24 cm
B) 78.24 cm?
128.48 cm2
Need answer ASAP
Answers
The answer is 78.24cm^2
can someone please help me with this questio? im begging
Answers
Hope it helps you! .....
Find the area of this hexagon
Answers
(Zoom in to see the problem) Please help. I gotta turn this in in 2 hours it’s 5:43 am right now and I can’t figure this out
Answers
4) all inclusive plan
Val is going to plant c vegetable seeds in one garden and 2c+9 vegetable seeds in another. How many seeds is Val going to plant?
Answers
Answer:
Val is going to plant 3c + 9 seeds.
Step-by-step explanation:
Add: 2c + 9 + c = 3c + 9. Val is going to plant 3c + 9 seeds.
HELP PLEASE I GIVE POINTS
Answers
Answer:
∡ a = 80°
Step-by-step explanation:
the sum of the interior angles of a triangle is 180 degrees
a + 30 + 70 = 180
a + 100 = 180
a = 80
Answer:
80 Degrees
Step-by-step explanation:
A triangle equals 180 degrees when all sides are added together, so here we need to first add the angles of the ones we have available.
30 + 70 = 100
Now, we subtract to find out how much more we need...
180 - 100 = 80
Please answer my math question
Answers
x=2 or x=-8 are the answers to the questio.
12/04 12021
Homework
Ato bought an item for GH¢ 1200 and
sold it for GH¢ 1400.00 find his.
Profit
Answers
Answer:
GH¢200.00
Step-by-step explanation:
GH¢1400-GH¢1200
GH¢200.00
NO LINKS I WILL REPORT!!! But help plssss quick plssss Which of these triangles are definitely not congruent to any of the others?
Check all that apply.
Answers
Answer:
C F D
Step-by-step explanation:
A puppy was born on April 1. The table gives the puppy's weights on three different
dates. Which graph best represents the puppy's weight on these days?
Answers
Answer:
it is the middle one
Step-by-step explanation:
i did it
Find the distance between the two points rounding to the nearest tenth
(if necessary).
(-7, -6) and (-3,2)
Submit Answer
Answer:
Answers
Answer:
8.9
Step-by-step explanation:
To solve this problem you just use the distance equation which is √((x1-x2)^2+(y1-y2)^2). It does not matter which point you use where but if you use -7 as your x1, you have to use -6 as your x1.
The process should look like this
√(-7-(-3))^2+(-6-2)^2)
√((-4)^2+(-8)^2)
√(16+64)
√(80)
=8.944 or 8.9 rounded to the nearest tenth
Convert the equation below to slope-intercept form
6x+ 8y = -32
Answers
Answer:
y = -3/4x - 4
Step-by-step explanation:
Convert the equation to slope intercept form by isolating y
6x + 8y = -32
Subtract 6x from both sides
8y = -6x - 32
Divide each side by 8
y = -6/8x - 4
Simplify -6/8 to -3/4
y = -3/4x - 4
So, the equation in slope intercept form is y = -3/4x - 4