Answer:
11.2 feet
Step-by-step explanation:
The two furthest corners of the bed are at (8, 6) and (5, 10). To determine which is the furthest from the origin, use the distance formula.
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((8 − 0)² + (6 − 0)²)
d = 10
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((5 − 0)² + (10 − 0)²)
d = 5√5
d ≈ 11.2
Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.
Answer:
A
Step-by-step explanation:
when x=2,g(x)=2
g(x)=(2)²/2=2
which is correct.
Answer:
Step-by-step explanation:
The given sequence of numbers is increasing in geometric progression. The consecutive terms differ by a common ratio, r
Common ratio = 6/3 = 12/6 = 2
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 3
r = 2
The function, f(n), representing the nth term of the sequence is
f(n) = 3 × 2^(n - 1)
Answer:
−
√
(
9
+
y
)
2
>
1
Explanation:
−
√
(
9
+
y
)
2
, where y
<
−
10
Simplify the expression,
−
√
(
9
+
y
)
2
=
−
(
9
+
y
)
=
−
9
−
y
When y
<
−
10
,
−
y
>
10
Subtract 9 from both sides,
−
9
−
y
>
1 Hence,
−
√
(
9
+
y
)
2
>
1
Answer:
A good role model is someone who is always positive, calm, and confident in themselves. You don't want someone who is down or tries to bring you down. Everyone likes a person who is happy with their achievements, but continues to strive for bigger and better objectives. Don't be afraid to be unique. A good role model is someone who is kind, but firm in their ways. He or she is humble, loving, caring, and always willing to help.
Step-by-step explanation:
