Because there is no solution if any number divide by 0
Answer:
c=13 and a=20
Step-by-step explanation:
Here you need to use the Pythagoras theorem :
c²=a² + b²
c = √a² + b²
c = √(12)²+(5)²
c= √144+25
c = √169
c = 13
2) c²=a²+b²
b= √c²-b²
b= √(29)²-(21)²
b = √400
b = 20
In 2 you change your formula just so that it can be easier and just calculate your length straight forward but you can also just do it in the original equation
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2
2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=
=8x^3+10x^2+12x+15-8x^3+16x=
=10x^2+28x+15
Answer:
4) in question it should be triangleMNP and NOP
reason by SSS axiom
5) reason is as the angles of congurent triangles are equal)
