$x(x-6)=4(x+6)\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\x(x)+x(-6)=4(x)+4(6)\\\\x^2-6x=4x+24\ \ \ \ |subtract\ 4x\ and\ 24\ from\ both\ sides\\\\x^2-10x-24=0\\\\x^2-12x+2x-24=0\\\\x(x-12)+2(x-12)=0\iff(x-12)(x+2)=0\\\\therefore\\\\x-12=0\ or\ x+2=0\\\\Answer:\boxed{x=12\ or\ x=-2}$

7 0

4 years ago

Read 2 more answers

After Donovan gives Mabel 6 pears, she has

snow_lady [41]

Answer:

see explanation

Step-by-step explanation:

Mabel has (x + 6) pears , then Nelson has

$\frac{1}{3}$ (x + 6) = $\frac{1}{3}$ x + 2

3 0

3 years ago

Nolan and Hugo started out at their houses and are biking towards each other. Nolan started out first, and has already gone 4 mi

Juli2301 [7.4K]

You can write these scenarios into equations:

y = distance (in miles)

x = the number of hours [you could put h instead of x, doesn't matter the variable]

Nolan

2x + 4 = y [rides 2 miles per hour(x), and had already gone 4 miles/is 4 miles in]

Hugo

3x = y [rides 3 miles per hour(x), and just started riding]

You can set these two equations equal to each other to find out when they meet: [this will first find how long it will take for them to meet]

2x + 4 = 3x You need to isolate/get x by itself, subtract 2x on both sides

2x - 2x + 4 = 3x - 2x

4 = x Now that you found x, you can use this to find y, you can use either equation to plug in 4 for x

3x = y

3(4) = y

12 = y

2x + 4 = y

2(4) + 4 = y

12 = y

x = 4 hours

y = 12 miles

5 0

4 years ago

Stan flips 5 coins. what is the probability that stan sees at least one head and one tail?

love history [14]

5 is the probability because there are 5 coins in total unless it’s 5 times 5 then 25 I think

4 0

3 years ago