Answer:
No
Step-by-step explanation:
The angles of a triangle must always add up to 180 degrees.
90 + 60 + 60 = 210 degrees.
Therefore it would not be possible to draw a triangle with these values.
Figure out the length of the rectangle by using the diameter of the 2 circles added together then work out the width by using the diameter of one circle (since the vertical diameter will be the same length as the width if that makes sense)
(-5, 2)(-9,9)
D = √( (x2 - x1)^2 + (y2 - y1)^2 )
D = √( (-9+5)^2 + (9 - 2)^2 )
D =√( (-4)^2 + (7)^2 )
D = √( 16 + 49 )
D = √65
D = 8
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
It’s casey. when compared to other fractions, it stands supreme.
