The ratio of the two point is the coordinate at the plane where the two point are divided at the fixed amount of length. The<em> y</em> value of the point that is 3/4 distance from point E to point F is -1.5. thus the option 4 is the correct option.
Given information-
The coordinates of the point E is (2,-3).
the coordinates of the point F is (-2,-1).
As the 3/4 the distance from the point E is the point F is means the points which divides the line EF in the ratio of 3/1.
<h3>Ratio of two point</h3>
The ratio of the two point is the coordinate at the plane where the two point are divided at the fixed amount of length.
Suppose the ratio
are the ratio of the two points
and
. Then the coordinate of the point which divide the line at this ratio can be given as,
![(x,y)=\left ( \dfrac{mx_2+lx_1\tiems}{m+l} ,\dfrac{my_2+ly_1}{m+l} \right )](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%5Cleft%20%28%20%5Cdfrac%7Bmx_2%2Blx_1%5Ctiems%7D%7Bm%2Bl%7D%20%2C%5Cdfrac%7Bmy_2%2Bly_1%7D%7Bm%2Bl%7D%20%20%5Cright%20%29)
Put the values,
![(x,y)=\left ( \dfrac{3\times (-2)+1\times(2)}{3+1} ,\dfrac{3\times (-1)+1\times(-3)}{3+1} \right )](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%5Cleft%20%28%20%5Cdfrac%7B3%5Ctimes%20%28-2%29%2B1%5Ctimes%282%29%7D%7B3%2B1%7D%20%2C%5Cdfrac%7B3%5Ctimes%20%28-1%29%2B1%5Ctimes%28-3%29%7D%7B3%2B1%7D%20%20%5Cright%20%29)
![(x,y)=(-1,-1.5)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28-1%2C-1.5%29)
Thus the<em> y</em> value of the point that is 3/4 distance from point E to point F is -1.5. thus the option 4 is the correct option.
Learn more about the ratio of the two points here;
brainly.com/question/7102971
Answer:
least common denominator for 2 and 5 is 10.
For this case, since the variation is direct then we have a relation of the form:
![y = kx](https://tex.z-dn.net/?f=%20y%20%3D%20kx%20%20)
Where,
k: proportionality constant
To find k we substitute the following data:
y = 16 when x = 8
We have then:
![16 = k8](https://tex.z-dn.net/?f=%2016%20%3D%20k8%20%20)
Clearing the value of k we have:
![k = \frac{16}{8}\\k = 2](https://tex.z-dn.net/?f=%20k%20%3D%20%5Cfrac%7B16%7D%7B8%7D%5C%5Ck%20%3D%202%20%20%20)
Then, the equation is:
![y = 2x](https://tex.z-dn.net/?f=%20y%20%3D%202x%20%20)
Substituting the value of x = 16 we have:
![y = 2 (16)\\y = 32](https://tex.z-dn.net/?f=%20y%20%3D%202%20%2816%29%5C%5Cy%20%3D%2032%20%20)
Answer:
The value of y for x = 16 is:
![y = 32](https://tex.z-dn.net/?f=%20y%20%3D%2032%20)
Answer:
Range: {-5, -2, 1, 4}
Step-by-step explanation:
y = 3x – 5
Domain: {0, 1, 2, 3}
Substitute each domain value into the equation to get its corresponding range value. Please see the attached image for solution:
The sum of all angles of a triangle is equal to 180°
On a isosceles triangle, the base angles are the same.
We add them together 56° + 56° = 112°
To know X, we subtract 112° from the total
180° - 112° = 68°
X = 68°
OR as an equation
56 + 56 + x = 180
112 + x = 180
x = 180 - 112
x = 68