First off we want to combine "like-terms"
1. Subtract 6x , so it will look like this: 2x-6x+12=-12
2. Subtract the -12 from the first side so it looks like 2x-6x=-12-12
3. Combine like terms. So: -3x=-24 . The negatives will cancel out when dividing 24/3.
The final answer is 8 after dividing. Hope this helped!
Using the slope formula the answer would be 1-(-1)/(-1)-6. The slope would be 2/-7. It would be a negative slope.
I hope this helps you
2.5.7+2.5.12+2.7.12
70+120+168
358
I) HCF - use the smallest powers of each common factors
HCF (A,B) = 2^2 × 3^4 × 5^2
LCM - use the highest powers of each factors
LCM (A,B) = 2^4 × 3^6 × 5^2 × 7^2 × 11^16
ii) Add powers together.
A×B = 2^6 × 3^10 × 5^4 × 7^2 × 11^16
sqrt(A × B)
Divide powers by 2.
sqrt(A × B) = 2^3 × 3^5 × 5^2 × 7 × 11^8
iii) C = 3^7 × 5^2 × 7
Ck = (3^7 × 5^2 × 7) × k
B/c Ck should be a product that is a perfect cube, the powers of the products should be divisible by 3.
(3^7 × 5^2 × 7) × k = 3^9 × 5^3 × 7^3
k = (3^9 × 5^3 × 7^3) / (3^7 × 5^2 × 7)
k = 3^(9-7) × 5^(3-2) × 7^(3-1)
k = 3^2 × 5 × 7^2
Finde 5%
percent means parts out of 100 so 5%=5/100=1/20
find 1/20 of 340 and add that to 340
'of' in math translates to multiply
1/20 times 340=340/20=34/2=17
add that to 340
340+17=357
he would make 357 a week