Answer: i guess the problem is with P(x) => "x = 
", then P(x) is true if that equality is true, and is false if the equality is false.
so lets see case for case.
a) x = 0, and 
= 0. So p(0) is true.
b) x = 1 and 
= 1, so P(1) is true.
c) x = 2, and 
= 4, and 2 ≠ 4, then P(2) is false.
d) x= -1 and = 1, and 1 ≠ -1, so P(-1) is false.
Answer:
(-5, -10)
Step-by-step explanation:
y+2x = 5y
==>2x=4y
x=2y
5y=3(2y)+5
==>
y = -5
x = -10
==>
one solution
Answer:
Step-by-step explanation:
The diagonals of a rhombus are perpendicular, so ∠AED = 90° and ∠BEC = 90°.
∠DAE = 180° - ∠AED - ∠EDA = 180° - 90° - 35° = 55°
BD is a transversal across parallel sides AD and BC, so ∠EBC = ∠EDA = 35°.
∠BCE = 180° - ∠BEC - ∠EBC = 180° - 90° - 35° = 55°
Answer:
The volume of the prism is 360 cm^3.
Step-by-step explanation:
The rectangular prism is a three dimensional figure formed by six rectangular faces. It's volume is given by the product of it's three dimensions. The calculation for the volume of this prism is shown bellow:
volume = width*height*length
volume = 9*10*4
volume = 360 cm^3
The volume of the prism is 360 cm^3.
