Answer:
a² + 1 = 65
18/2a = 3
6(d + 8) - 10d = 46
Step-by-step explanation:
<u>a² + 1 when a = 8</u>
first, plug in 8 for a.
begin simplifying by finding 8², which is just 8 · 8.
finish simplifying by adding 64 + 1.
therefore, when a = 8, a² + 1 = 65.
<u>18/2a when a = 3</u>
first, plug in 3 for a.
begin simplifying by multiplying 2 · 3.
finish simplifying by dividing 18 ÷ 6.
therefore, when a = 3, 18/2a = 3.
<u>6(d + 8) - 10d when d = 1/2</u>
<em>(i'm going to convert 1/2 to 0.5 because i prefer working with decimals rather than fractions)</em>
<em>so...</em> <u>6(d + 8) - 10d when d = 0.5</u>
first, plug in 0.5 for d.
- 6(d + 8) - 10d ⇒ 6(0.5 + 8) - 10(0.5)
begin simplifying by distributing 6 to 0.5 and 8, which is just 6 · 0.5 and 6 · 8.
after distributing, your expression is 3 + 48 - 10(0.5).
continue simplifying by multiplying -10 · 0.5.
- 3 + 48 - 10(0.5) ⇒ 3 + 48 - 5
add 3 + 48.
finally, finish simplifying by subtracting 5 from 51.
therefore when d = 1/2 or 0.5, 6(d + 8) - 10d = 46.
i hope this helps! have an amazing day <3