Answer:
<h2>
y = -4/9</h2>
Step-by-step explanation:
Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;
3/2 x − 6 = −9/2 x + 21,
Cross multiplying;
3(2x+21) = -9(2x-6)
6x+63 = -18x+54
collecting the like terms;
6x+18x = 54-63
24x = -9
x = -9/24
x = -3/8
To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;
y = 3/2x-6
y = 3/{2(-3/8)-6}
y = 3/{(-3/4-6)}
y = 3/{(-3-24)/4}
y = 3/(-27/4)
y = 3 * -4/27
y = -4/9
Hence, the value of y is -4/9
Answer:
D. The cost of the pizza with one topping costs $6.
Answer:
≈ 56°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin ? = 
= 
, then
? = 
( ) ≈ 56° ( to the nearest degree )
The ratio is 1:4
She could use...
4 gems and 16 flowers... 4 x 4 = 16
7 stickers and 28 glue dots... 7 x 4 = 28
Answer:
9.2
Step-by-step explanation:
we can use the pythagorean theorem to find the hypotenuse between the centre of the circle and the midpoint of the line segment.
hence,
x = sqrt(36 + 49)
x = 9.21
