Answer:
y=x^2 - 8x +8:
(1.8,0) and (6.8)
y=-x^2-4x+7:
(-5.3,0) and (1.3,0)
Step-by-step explanation:
If you go to desmos graphing calculator online, you can type the equation in and click on the zeros.
I have attached the following graphs to show what I did to find them.
Answer: 13
Step-by-step explanation:
The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula:
= √ ((X2-X1)2+(Y2-Y1)2)
d = √(-2--7)2+(-5-7)2
d = √((-5)2+(-12)2)
d = √(25+144)
d = √169
d= 13
The expression equals 30 because 3^2=9.Then 5×3=15. 9+15 equals 24.24+6 equals 30.
So this is where the Pythagorean theorem comes in: a squared + b squared = c squared.
One of the basic pythagorean triangles is the 3-4-5 triangle and you can use any multiples of that triangle and get a right triangle (like multiple 3-4-5 by 2 to get a 6-8-10 right triangle, multiple 3-4-5 by 3 to get a 9-12-15 triangle, etc).
So you could do 6, 8, and 10. 6 squared is 36, 8 squared is 64, and 10 squared is 100. 36 + 64 = 100, so it works.
