Answer:
a) (11/7, 9/7)
b) There's no point of intersection
Step-by-step explanation:
a) x - 2y + 1 = 0
2x + 3y - 7 = 0
To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)
Now we substitute x in the second equation:
Now we substitute y in our first equation.
.
The point of intersection is (11/7, 9/7)
b) x -2y +11 =0
-x + 2y - 13 =0
We are going to follow the same procedure:
Since this system of equations doesn't have a solution, the system has no point of intersection.
Answer:
Step-by-step explanation:
Triangle ABC is a 45-45-90 right triangle. That means that segment BC also measures 10.
The big triangle as a whole is a 30-60-90. The side length across from the 30 degree angle is 10, so the whole length of BD is 10√3. However, since we already have the length of BC as 10, then segment CD measures
10√3 -10 which is 7.32
Answer:
9 yards
Step-by-step explanation:
Since both pools are similar, therefore the ratio of their length and width would be equal. That is:
Length of the current swimming pool : length of the new swimming pool = width of the current swimming pool : width of the new swimming pool
Thus, we can set up a proportion as shown below:
Let the width of the new swimming pool be x.
40 : 24 = 15 : x
Cross multiply
Divide both sides by 40
The width of the new swimming that is smaller would be 9 yards.
X=1, and 3/8 it is a mixed number.
