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:
No solution
Step-by-step explanation:
4x+9=4x+13
9 ≠ 13
No solution
To solve the problem:
<span>Let f = distance one way distance on level
ground</span>
<span>
Let h = distance rode on the hill</span>
<span>
Write a time equation; where Time = distance/speed:</span>
<span>
level time + uphill time + downhill time + level time = 1hr</span>
<span>
</span>
<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>
<span>
Multiply equation by 18 to get rid of the denominators</span>
<span>
</span>
2f + 3h + h + 2f = 18
4f + 4h = 18
Simplify by dividing this by 4
<span>f + h = 4.5 miles is took her to get to Jon’s
house.</span>
Answer:
In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters. The surface area of a 7 cm cube will be 294 cm2 . Hope this helps!
