Pythagoras Theorem:
hipotenuse²=side1² +side2²
a=is the longest side of the triangle (hypotenuse)
b and c: are the other two sides.
In this case:
hipotenuse²=side₁² + side₂²
side₁=a=16
side₂=b=28
c²=16²+28²
c²=256+784
c²=1040
c=√1040=32.2490....≈32.25
Answer: D. 32.25
Hello!
The key word in this is <em><u>After</u></em> walking 5 steps forward, Julie walked 5 steps backward
So, she walked forward 5 steps, then walked back the same steps, returning her to her starting position.
your answer is the second graph.
This graph shows what i explained: she starts at 0. goes forward 5, then back 5, returning her to 0.
I hope this helps, and have a nice day!
Answer:
1. -8x² - 16x - 6 a = -8, b = -16, c = -6
1. 4x² - 1 a = 4, b = 0, c = -1
Step-by-step explanation:
use the 'foil' method:
(4x + 2)(-2x - 3)
F: -8x² O: -12x I: -4x L: -6
-8x² - 16x - 6
(2x + 1)(2x - 1)
F: 4x² O: -2x I: 2x L: -1
4x² - 1
Let x and y be the 2 parts of 15 ==> x + y=15 (given)
Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)
Let's solve 1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)
==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy
But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50
Now we have the sum S of the 2 parts that is S = 15 and
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5
Answer:
X² - 5 = 0
x² = 5
square on both side
x = 5²
x = 25
May mine aswer might be wrong please retrify but as per my point of view it will be write
