9/20 is your answer! Have a nice day and maybe even consider a brainliest!
Answer: x = 8
Step-by-step explanation:
8(3-2x) + 4(3x - 2) = -16
expanding the equation , we have
24 - 16x +12x - 8 = -16
16 - 4x = -16
collecting the like terms
4x = 32
x = 32/4
x = 8
y=(1/3)x-2
Step-by-step explanation:
the slope-intercept form is y-y1=m(x-x1)
hence, y-0=1/3(x-6) or y=(1/3)x-2
Answer:
SA = 1244.64 square centimeters
Step-by-step explanation:
From the attached figure
The formula of the surface area of the prism is SA = 2B + PH, where
- B is the area of its base
- P is the perimeter of its base
- H is the distance between its bases
The base of the prism is a regular hexagon with side 8 cm
If you join each vertex of the hexagon with its center you will form 6 congruent triangles with base 8 cm and height 6.93 cm
The area of the hexagon = 6 × area of a triangle
∵ The base of the triangle = 8 cm
∵ Its height = 6.93 cm
- The formula of the area of a triangle is A = 
× base × height
∴ Area of the triangle = × 8 × 6.93 = 27.72 cm²
- Lets find the area of the hexagon
∴ The area of the hexagon = 6 × 27 .72 = 166.32 cm²
∴ B = 166.32 cm²
The formula of the perimeter of the regular hexagon is P = 6 × s, where s is the length of its side
∵ The side of the hexagon is 8 cm
∴ P = 6 × 8
∴ P = 48 cm
∵ The distance between the two bases is 19 cm
∴ H = 19 cm
Substitute the values of B, P and H in the formula of the surface area above
∵ SA = 2(166.32) + (48)(19)
∴ SA = 332.64 + 912
∴ SA = 1244.64 square centimeters
Answer:
Mortgage option (3) would be best suited for them.
Step-by-step explanation:
Mortgage option (1) and (2) are more or less the same since, since even if Damarco and Tanya down payments $34,000 (20% of the purchase price), they need to pay the interest for 30 years for both of the cases and even if he pays about $750 monthly (as for option (1)) or about $ 9000 annually (as for option (2)) both may actually be more or less the same amount since, the annual rate of interest in (2) may increase from the initial rate of 3.5% (but it is very unlikely to increase to over 5%) and option (1) has an annual fixed rate of interest of 4.25%.
Now, in the option (3) the interest is to be paid for 8 years and the annual rate of interest is also relatively low (only 4%) and if they pay about $18,000 annually with a down-payment of $ 34,000 and repay the rest of the amount at the end of 8 years,(which would be less than $ 35,000) they can easily clear their mortgage. Hence, for option (3) they would need to pay lowest total amount and for lowest time to clear the mortgage among the three options. Hence, this would be best suited option for them.
