Answer:
x = 7
Step-by-step explanation:
Let's join A & C . If points A ,B & C are collinear , then definitely B point's gonna lie on line segment AC .
So , AC = AB + BC
In the question , length of AC = 3x + 3 , length of AB = 2x - 1 ( or -1 + 2x)
& length of BC = 11.
We know that AC = AB + BC . So putting the given values here :-
![3x+3 = 2x -1 + 11\\=>3x +3 = 2x+10\\](https://tex.z-dn.net/?f=3x%2B3%20%3D%202x%20-1%20%2B%2011%5C%5C%3D%3E3x%20%2B3%20%3D%202x%2B10%5C%5C)
Solving this linear eqn. gives
![3x + 3=2x+10\\=> 3x-2x=10-3\\=>x=7](https://tex.z-dn.net/?f=3x%20%2B%203%3D2x%2B10%5C%5C%3D%3E%203x-2x%3D10-3%5C%5C%3C%2Fp%3E%3Cp%3E%3D%3Ex%3D7)
Answer:
-42/11
Step-by-step explanation:
x = y - 8
5x = 6 - 6y
So now solve the system of equations, divide everything in the second equation by 5 to get it to x = 6/5 - 6y/5
Now...
x = y - 8
x = 6/5 - 6y/5
Now substitute first equation into the second and x is gonna be -42/11 or the first number
Answer:
half of 7.4 is 3.7 so the houses are 3.7 miles apart.
<h3>f(x)=3x³-13x²-3x+45</h3><h3>f(x)=3x³-9x²-4x²+12x-15x+45</h3><h3>f(x)=3x²(x-3)-4x(x-3)-15(x-3)</h3><h3>f(x)=(x-3)(3x²-4x-15)</h3><h3>f(x)=(x-3)(x-3)(3x+5)</h3><h2>f(x)=(x-3)²(3x+5)</h2>
<h3><u>Roots:</u></h3><h3>x=3</h3><h3>x=-5/3</h3>
Answer:
27
Step-by-step explanation:
⅙ × 54 = ⅓ × x
9 = x/3
x = 27