X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x
Answer:
parenthesis
Step-by-step explanation:
The formula to solve for thee area of a square pyramid is [ V = 1/3 * b² * h ]
b² = base area (b = length of one side of the base)
h = height
The only option that as a base length of 12cm. and a height of 14cm. is the first option.
Solve for the volume if needed.
V = 1/3(12²)(14)
V = 1/3(144)(14)
V = 1/3(2,016)
V = 672cm²
Best of Luck!
Answer:
B. 203.403
Step-by-step explanation:
2 times 100 = 200
3 times 1 = 3
4 times 1/10 = 0.4
3 times 1/1000 = 0.003
200 + 3 = 203
203 + 0.4 = 203.4
203.4 + 0.003 = 203.403