I'm just going to number all of the problems so life get's easier. :D
JSYK: A negative and a negative multiplied make a positive. Like that... a + and a + is +. And a + and a - is a - .
1) 37= -3+5(k+6)
1. Use Distributive Property to take out the parentheses. Positive 5 times k and then 5 times 6... 37=-3+5k+30. 2. Take all the normal number to either side of the equal sign. 37-3-30=5k 3. Subtract all the numbers on the left side.... 4=5k 4. Now divide both sides by 5 to isolate <em>k</em>.... k=[tex] \frac{4}{5} [/text] ----------------------------------------------------------------------------------------------- 2) -2= -(w-8)
1. Use Distributive Property to take out the parentheses. "Distribute the negative sign... -2= -w+8 2. Put the -w to the left side and the -2 to the right side, so that the variable won't be negative... w= 2+8 3. Add everything on the right side... w= 10 ----------------------------------------------------------------------------------- 3) 42= 8x+13x
1. Since both of the numbers have the same variables (in this case, x), add them up... 42=21x 2. Divide each side by 21 to isolate <em>x</em>... x=42 ------------------------------------------------------------------------------------ 4) 8= 8c-4(c+8)
1. Use Distributive Property. Multiply <em>negative</em> 4 with c and 8... 8=8c-4c-32 2. On the right side, 8 and 4 both have the same variable, <em>c </em>, solve it!...8=4c-32 3. Put -32 to the left side... 8+32=4c 4. Add on the left... 40=4c 5. Divide both sides by 4 to isolate <em>c</em>... c=10 ------------------------------------------------------------------------------------- 5) -11-5z= 6(5z+4) 1. Use Distributive Property; multiply positive 6 with 5z and 4... -11-5z=30z+24 2. Bring -5z to the right and positive 24 to the left... -11-24= 30z+5z 3. Subtract the integers on the left and add the numbers with same variable on the right... -35=35z 4. Divide both sides by 35 to isolate <em>z</em>... z= -1 ----------------------------------------------------------------------------- 6) 0= -5y-2y
1. Subtract the negative number with the same variable, <em>y</em> ... 0= -7y 2. Divide both sides by -7, to isolate <em>y</em>... y=0
And for the last two, I don't know either... my apologies! I hope my answers help! :D
The solution is x = 6
Step-by-step explanation:
Let us revise some rules of the exponents
- If
, then n = m 
∵ 
∵ 9 = 3 × 3
∴ 9 = 3²
- Substitute 9 by 3² in the equation above
∴ 
- Use the second rule above for the left hand side
∵ 
∴ 
∴ 
- By using the first rule above
∴ 2x + 30 = 7x
- Subtract 2x from both sides
∴ 30 = 5x
- Divide both sides by 5
∴ 6 = x
The solution is x = 6
Learn more:
You can learn more about solving equations in brainly.com/question/7153188
#LearnwithBrainly
Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:
which contains multiple solution if one tries to solve for x when the differentiated form is 0.
I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.
If, however, the function is
Then differentiating and equating to 0 yields:
which gives:
or
We reject x=5 as it is when it ix the maximum and thus,
, for
The area of the square is side^2
1536=s^2
Square root of 1536=39.19
Side length =39.19
