An infinite series is represented by:
1 answer:
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Answer:
The other endpoint is (-33, 17)
Step-by-step explanation:
The rule of the mid-point of a segment whose endpoints are
(,
) and (
,
) is
In our question
∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)
∴ = -15 and
= x
∴ = 13 and
= y
∵ The coordinates of the mid-point of this segment are (-24, 15)
∴ = -24 and
= 15
→ Use the rule of the mid-point to find x and y
∵
→ Multiply both sides by 2
∴ -48 = -15 + x
→ Add 15 to both sides
∴ -33 = x
∵
→ Multiply both sides by 2
∴ 30 = 13 + y
→ Subtract 13 from both sides
∴ 17 = y
∴ The other endpoint is (-33, 17)
Answer: 34
Step-by-step explanation:
<u>Given expression</u>
[3 - (3 · 3) + 33 ÷ 3] × 4 · 5 / 10 - 2 · 3
<u>Simplify by parentheses in the bracket</u>
=[3 - 9 + 33 ÷ 3] × 4 · 5 / 10 - 2 · 3
<u>Simplify by multiplication</u>
=[3 - 9 + 33 ÷ 3] × 20 / 10 - 6
<u>Simplify by division</u>
=[3 - 9 + 11] × 10 - 6
<u>Simplify by bracket (addition/subtraction)</u>
=[-6 + 11] × 10 - 6
=[4] × 10 - 6
<u>Simplify by multiplication</u>
=40 - 6
<u>Simplify by subtraction</u>
=
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