You just need to try with all of the pair f.ex
0,-2 -> put 0 in the x-> y=8*0-2=-2 so ok it is q possible pair of the function..
You try every pair till you find set where all the pairs fit
So set 1
1 and 6: 8*1-2=6 ok
2 and 14 : 8*2-2=14 ok
Hope I could help
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
x = 2y + 5 ...1
x² + y² = 5 ...2
If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.
Then from equations 1 and 2, we have
(2y + 5)² + y² = 5
4y² + 25 + 20y + y² - 5 = 0
5y² + 20y + 20 = 0
5y² + 10y + 10y + 20 = 0
5y (y + 2) + 10(y + 2) = 0
(5y + 10)(y + 2) = 0
y = -2, -2
Then the value of y is unique then the value of x will be unique.
The value of x will be
x = 2(-2) + 5
x = -4 + 5
x = 1
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
More about the circle link is given below.
brainly.com/question/11833983
#SPJ1
Answer:
Mary's brother practiced 4 times as long.
Step-by-step explanation:
Mary practiced violin for 2 hours.
Her brother practiced trombone t times as long or 8 hours.
t times of 2 hours = 2t hours
But, 2t = 8
Divide both sides by 2.
t = 4
Hence, Mary's brother practiced 4 times as long as Mary.
Answer: x=55 y=145
x=55
35+90=125
125-180=55
y=145
180-35=145
I hope this is good enough:
we know that
the area of the complete square is equal to

where
b is the length side of the square

so

m²
the area of one corner is equal to the area of a triangle

so
the area of
corners is equal to

the area A of the resulting figure as a function of x is equal to
area of the square minus the area of
corners
m²
the answer is
m²