<span>4x + 3y = 12
-2x - 5y = 1
multiply bottom by 2
</span><span>4x + 3y = 12
-4x - 10y = 2
add both equations
-7y = 14
divide by 7
y = -2
plug into first equation
4x + 3(-2) = 12
solve for x
4x = 18
x = 4.5
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Answer:
3/4
Step-by-step explanation:
The slope of the line is
m = (y2-y1)/(x2-x1)
= (-2--5)/(6-2)
= (-2+5)/(6-2)
=3/4
Answer:
Step-by-step explanation:
1)8/12=12/18
2)12/20=18/30
3)4/16=6/24
Answer:
x=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(x−5)+8=4
(2)(x)+(2)(−5)+8=4(Distribute)
2x+−10+8=4
(2x)+(−10+8)=4(Combine Like Terms)
2x+−2=4
2x−2=4
Step 2: Add 2 to both sides.
2x−2+2=4+2
2x=6
Step 3: Divide both sides by 2.
2x/2 = 6/2
x=3
If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² = 3n³ + 13n² + 16n + 4 / <span>3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
</span>s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4
Therefore, the area of the square base is <span>n² + 4n + 4.</span>
