Find distance of each
2 answers:
Answer: The distance of this segment is 4 units
Step-by-step explanation:
Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:
d = √( -
)² + (
-
)²
We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.
d = √((-5) - (-1))² + ((-4) - (-4))²
d = √(-4)² + (0)²
d = √16 + 0
d = √16
d = 4
This furthermore proves that the distance between the two segments is 4.
Hope this helps! :)
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Answer:
The length of DC in meters is ⇒ A
Step-by-step explanation:
In the circle O
∵ AB passing through O
∴ AB is a diameter
∵ D is on the circle
∴ ∠ADB is an inscribed angle subtended by arc AB
∵ Arc AB is half the circle
→ That means its measure is 180°
∴ m∠ADB = × 180° = 90°
In ΔADB
∵ m∠ADB = 90°
∵ AD = 5 m
∵ BD = 12 m
→ By using Pythagorase Theorem
∵ (AB)² = (AD)² + (DB)²
∴ (AB)² = (5)² + (12)²
∴ (AB)² = 25 + 144 = 169
→ Take square root for both sides
∴ AB = 13 m
∵ ∠ADB is a right angle
∵ DC ⊥ AB
∴ DC × AB = AD × DB
→ Substitute the lengths of AB, AD, and DB
∵ DC × 13 = 5 × 12
∴ 13 DC = 60
→ Divide both sides by 13
∴ DC = m
∴ The length of DC in meters is
The equivalent expression of is
The logarithmic expression is given as:
The law of logarithm states that:
log(a) - log(b) = log(a/b)
This means that the expression can be split as:
Hence, the equivalent expression of is
Read more about equivalent expression
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