Answer:
Step-by-step explanation:
Indicates leg lengths of 1 and√3 and hypotenuse 2, the desired ratio is √3/2
Answer:
9) 3rd side = 2x+2y
10) 5a^2 + 6a - 3
Step-by-step explanation:
9) 10x+5y - ( 3x+ 4y) = 7x + y
7x + y - ( 5x - y ) = 2x + 2y
10)
Answer:
Hence the pricing for each product will be taronges with 2 euros and mandarins with 2.5 euros.
Step-by-step explanation:
Given:
2 kg of taronges and 3 kg mandarins cost 11.5 euros
3kg taronges and 2 kg mandarins cost 11 euros
To Find:
Price for each product
Solution:
<em>Consider </em>
<em>Taronges =x euros</em>
<em>Mandarins=y euros</em>
So by given condition,
....................equation(1)
and 
...........equation (2)
So , using substitution method,
.......equation (3)
Using above value in equation(1) we get ,
)
y=2.5 euros
Using above value in equation(3) we get ,
x=2 euros
Y-intercept, where the graph crosses y-axiss is 0. that means in the equation: y = mx + b
b = 0
the m, is slope. looking at the graph you can see the points on the line are connect up 4 right 1. rise/run = slope = 4
y = 4x
Answer:
B. Solve each equation for a variable
Is (-1,13) a solution of the system: Yes it is x =1, y= 13
Step-by-step explanation:
-4x=30-2y
- 15 = - 2y + 11x
-4x=30-2y
-2y+4y = -30-------------------i
- 2y + 11x= - 15 ---------------ii
make x the subject of formula in equ i
-4x=30-2y
x= (30-2y)/-4
insert x= (30-2y)/-4 in equ ii
- 2y + 11x= - 15
-2y+ 11((30-2y)/-4)= -15
-2y+(330-22y)/4 = -15
-8y+330-22y/4 = -15
-8y-22y+330/4= -15
cross multiply
-30y+330 = 4x-15 = -60
-30y = -60-330
-30y =--390
y= -390/-30 = 13
if y = 13
x = (30-2y)/-4 = (30-2x13)/-4 = (30-26)/4 = 4/4 = 1
x=1 , y=13
