Answer:
((X_2 - X_1)/4, (Y_2 - Y_1)/4)
Step-by-step explanation:
C = The new point
X_1 = The x coordinate of A
X_2 = The x coordinate of B
X_3 = The x coordinate of C
Y_1 = The y coordinate of A
Y_2 = The y coordinate of B
Y_3 = The y coordinate of C
The distance between A and the new point, C, is equal to 1/4 the distance from the X coordinate of A to the X coordinate of b.
So, X_3 = (X_2 - X_1)/4
The Y is the same thing but for the Y coordinate.
Y_3 = (Y_2 - Y_1)/4
This means that the coordinates of C are equal to ((X_2 - X_1)/4, (Y_2 - Y_1)/4)
To find the coordinates of a point that's a quarter way from point a to point b, use the following formula: [(1*x2 + 3*x1) / 4, (1*y2 + 3*y1) / 4], where (x1, y1) and (x2, y2) are the coordinates of points a and b respectively.
In mathematics, to find the coordinates that are 1/4 of the way from point a to point b, you simply need to apply the formula for finding a point along a line segment connecting two points. If you have two points (x1, y1) - coordinates of point a and (x2, y2) - coordinates of point b, a point P that divides the line segment AB in the ratio of m:n (in this case m=1, n=3 since it's 1/4 of the way) has the coordinates: [(mx2 + nx1) / (m+n), (my2 + ny1) / (m+n)].
So, if point a = (x1, y1) and point b = (x2, y2), the coordinates of the point that is 1/4 of the way from a to b is given by: [(1*x2 + 3*x1) / 4, (1*y2 + 3*y1) / 4].
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Answer:
the correct answer is 51
Step-by-step explanation:
The sum of three consecutive even numbers is 51 .
The greatest number of bags you can fill using all the candy is 6.
Given that, you are creating identical candy bags using 18 chocolate bars and 30 peanut butter cups.
The GCF (Greatest Common Factor) of two or morenumbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.
Now, GCF of 18 and 30 is
18 = 2×3×3 and 30 = 2×3×5
So, common factor = 2×3 =6
Therefore, the greatest number of bags you can fill using all the candy is 6.
To learn more about the greatest common factors visit:
brainly.com/question/11221202.
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Answer:
6
Step-by-step explanation:
Is you're looking for the answer all you have to do is find the gcf (greatest common factor) of 18 and 30 and you would get 6
G. 3a + 3c
H. 2a + c
J. a + 2c
K. ac + a^2
The required expression that has an even integer value for all integers a and c is F. 8a + 2ac.
Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
We can determine which expressions have an even integer value for all integers a and c by looking at their factors.
An integer is even if and only if it is divisible by 2. Therefore, an expression will have an even integer value for all integers a and c if and only if it contains a factor of 2.
Let's look at each of the given expressions:
F. 8a + 2ac = 2(4a + ac)
This expression has a factor of 2, so it has an even integer value for all integers a and c.
G. 3a + 3c = 3(a + c)
This expression does not have a factor of 2, so it does not have an even integer value for all integers a and c.
H. 2a + c
This expression does not have a factor of 2, so it does not have an even integer value for all integers a and c.
J. a + 2c
This expression does not have a factor of 2, so it does not have an even integer value for all integers a and c.
K. ac + a²
This expression does not have a factor of 2, so it does not have an even integer value for all integers a and c.
Therefore, the expression that has an even integer value for all integers a and c is F. 8a + 2ac.
Learn more about simplification here:
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Answer:
Step-by-step explanation:
We have that,
Fraction of girls having brown hair =
Fraction of girls having long hair =
Thus, the fraction of girls having long brown hair = Fraction having brown hair × Fraction having long hair
i.e. Fraction of girls having long brown hair =
i.e. Fraction of girls having long brown hair =
Hence, the fraction of girls having long brown hair is .