Answer:
$180
Step-by-step explanation:
To find the new cost, multiply the original cost by 1.2
150(1.2)
= 180
So, the new cost of the bicycle is $180
The Answer is A
Explanation:
The standard form equation for an ellipse is:
(x - h)² / a² + (y - k)² / b² = 1
So looking at the picture above you can see that the center of the ellipse is at the origin which is (0;0) making both h and k zero.
It is then observed that the x-intercepts are at 12 meaning a=12 and y- intercepts are at approximately square root of 95 which is 9.746... which are 'k'
So you can conclude by saying that:
x²/12² + y²/(sqrt of 95)² = 1
then giving you the answer of A which is:
x²/144 + y²/95 = 1
Answer:
31.3 feet
Step-by-step explanation:
-23.6+13.4 = -10.2
-10.2 - 21.1 = -31.3
10/7,8 ...................
Answer:
Given System of equation:
x-y =6 .....,[1]
2x-3z = 16 ......[2]
2y+z = 4 .......[3]
Rewrite the equation [1] as
y = x - 6 .......[4]
Substitute the value of [4] in [3], we get

Using distributive property on LHS ( i.e,
)
then, we have
2x - 12 +z =4
Add 12 to both sides of an equation:
2x-12+z+12=4+12
Simplify:
2x +z = 16 .......[5]
On substituting equation [2] in [5] we get;
2x+z=2x -3z
or
z = -3z
Add 3z both sides of an equation:
z+3z = -3z+3z
4z = 0
Simplify:
z = 0
Substitute the value of z = 0 in [2] to solve for x;

or
2x = 16
Divide by 2 both sides of an equation:

Simplify:
x= 8
Substitute the value of x =8 in equation [4] to solve for y;
y = 8-6 = 2
or
y = 2
Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0