Answer:
D. There is no mistake.
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is completely fine.
The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the terms are grouped, from which we can factor out common terms.
This is also fine.
<u>Line 3:</u>
In line 3, the common term y is taken out from group 1 and 2 from other group.
which is exactly what is given in line 3.
<u>Line 4:</u>
In line 4 the common factors can be seen and easily split into 2 factors.
which is exactly what is given in line 4.
Options:
A. The grouping is correct in line 2. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was factored correctly from group 2. So this option does not hold.
D. There is no mistake. This is correct. Thus we choose this option as correct answer.
Answer: -48x³y^4 (the option at the bottom left)
Step-by-step explanation:
-6x²y × 8y³x
=-48x³y^4 ⇔ multiplication in exponents with same base works as addition
Hope this helps!! :)
Please let me know if you have any question
Answer:
E 10 sqrt(2)
Step-by-step explanation:
If this is an isosceles triangle than AB = BC and AB = 10 so BC = 10
We want to us the Pythagorean theorem since it is a right triangle
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
10^2 + 10^2 = AC^2
100 + 100 = AC^2
200 = AC ^2
Take the square root of each side
sqrt(200) = sqrt( AC^2)
sqrt(100*2) = AC
We know sqrt(ab) = sqrt(a) sqrt(b)
sqrt(100) sqrt(2) = AC
10 sqrt(2) = AC
Answer:
-24.4 ≥ w
Step-by-step explanation:
-13.4 ≥ 6.7 + 4.3 + w
-13.4 - 6.7 - 4.3 ≥ w
-24.4 ≥ w
Answer:
4.65
Step-by-step explanation: