Given point A(−2, 6) and point B(3, 4), find the coordinates of point C that divide AB so that the ratio AC:CB is 2:3.The coordinates of point C are
40 POINTS
Answers
The coordinates of point C are (1, 24/5).
We are given that;
Point A(−2, 6) and point B(3, 4)
Now,
The shortest distance (length of the straight line segment's length connecting both given points) between points (p,q) and (x,y) is:
Let’s first find the distance between A and B using the distance formula:
AB =
Now find the coordinates of point C. Since AC:CB is 2:3, we can write:
AC/CB = 2/3
AC = (2/5) * AB
CB = (3/5) * AB
Let assume that point C has coordinates (x, y). Then we can write:
x = (3/5)3 + (2/5)(-2) = 9/5 - 4/5 = 1
y = (3/5)*4 + (2/5)*6 = 12/5 + 12/5 = 24/5
Therefore, by the distance answer will be (1, 24/5).
Learn more about distance between two points here:
#SPJ3
Related Questions
Type your response in the box.Janet and Patrick are buying stuffed frogs each month to give to a charity. Pattern 1 describes Janet's collection overthe first three months. Pattern 2 describes Patrick's collection. Study both patterns, and fill in the table based onyour observations.
(help) Write an expression for the quotient of 371 and y .
Amy spent $22 on a magazine and fourerasers. If the magazine cost $6, then howmuch was each eraser?
PLEASE HELP ASAP!!! :)Using the remainder theorem, what is the remainder of the quotient of x^3– 6x^2 + 4x– 5 and 1 - 3?A.88B. -20c.-74D. 34
Answers
Answer:
50% of the scores were above 75
Step-by-step explanation:
Problems of normally distributed(bell-shaped) samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What percent of the scores were above 75?
This is 1 subtracted by the pvalue of Z when X = 75. So
has a pvalue of 0.5
1 - 0.5 = 0.5
50% of the scores were above 75
Answers
Answer:
m+2m-s
Step-by-step explanation:
Answer:
A: M + 2m - s
Step-by-step explanation:
A. irrational number, non-repeating decimal
B. irrational number, terminating decimal
C. rational number, terminating decimal
D .rational number, non-repeating decimal
Answers
The correct classification of the square root of 18 is: A. irrational number, non-repeating decimal.
To determine the classification of the square root of 18, let's break down the steps:
1. Calculate the square root of 18:
2. Rational or Irrational?
The square root of 18 is an irrational number because it cannot be expressed as a fraction of two integers, and it is non-terminating, non-repeating decimal.
Rational numbers can be expressed as fractions, and their decimal representation either terminates (e.g., 1/4 = 0.25) or repeats in a pattern (e.g., 1/3 = 0.333...).
Since cannot be expressed as a simple fraction, and its decimal representation continues infinitely without repeating, it is classified as an irrational number, non-repeating decimal.
So, the correct classification is: A. irrational number, non-repeating decimal.
To know more about square root, refer here:
#SPJ2
Answer:
That would be option A,because it's Irrational and non repeating.
Answers
7 is 87.5 percent of 8.
Here, we have,
given that,
7 is what percent of 8
now, let,
x% of 8 is 7.
we know that,
of means multiply
now, we have,
x% of 8 is 7..
=> x% × 8 = 7.
=> x% = 7/8
=> x% = 0.875
=> x = 0.875 * 100
=> x = 87.5
To learn more on percentage click:
#SPJ6
Answer:
87.5%
Step-by-step explanation:
.
..
...
....
......
......
....
....
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is 0. The number is 3 and you move 3 units to the left which is toward the negative numbers sides below zero which equals the answer as 0. [3-3=0.]
hope this helps,have a great day!!
~Pinky~
Step-by-step explanation:
7On a number line what nomber is 3 units to the left of 3
Answers
Answer:x^2+10x+24
Step-by-step explanation:
Area of rectangle=length x width
Area of rectangle=(x+4)(x+6)
Area of rectangle=x^2+6x+4x+24
Area of rectangle=x^2+10x+24