Hey There!
Steps to solve (steps will be in numerical order)
1. Find the lcd of the fractions

and <span>

. The lcd for both problems will be 12.
2. To rewrite </span>

you have to multiply the numerator and denominator by three since the lcd is 12. So you're new fraction will be

. For the second fraction, since the lcd is 12 you will multiply the numerator and denominator by 4. You're new fraction will be <span>

.
3. Since the problem contains the math keyword "Further", you automatically know you have to subtract, now subtract </span>

- <span>

. First, start of by subtracting the numerators, so subtract 9-8=1 , remember the denominators will always stay the same.
In conclusion, you're answer will be </span>

, so Isabel lives <span>

farther away from Janet.
Hope This Helps :)
</span>
None they're parallel because they have te same slope. Work; get y by itself or graph! hope it helped ;)
We try to represent each number inside the square root as a product of a square and another number.
a) 7√32 - 5√2 + √8
√32 = √(16 *2) = √16 * √2 = 4* √2 = 4√2
√8 = √(4 *2) = √4 * √2 = 2* √2 = 2√2
7√32 - 5√2 + √8 = 7*(4√2) - 5√2 + 2√2 =
= 28√2 - 5√2 + 2√2 Factorize out √2
= (28 - 5 + 2)√2
= 25√2
b) 2√150 - 4√54 + 6√24
√150 = √(25 * 6) = √25 * √6 = 5*√6 = 5√6
√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6
√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6
2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)
= 2*5√6 - 4*3√6 + 6*2√6
= 10√6 - 12√6 + 12√6 Factorize √6
= (10 - 12 + 12)√6
= 10√6
Answer:
b 12 hats for $48
Step-by-step explanation:
Solve for c by simplifying both sides of the equation, then isolating the variable.
Exact form: c = -4/9, 2
Decimal form: c = -.4, 2