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<u>Answer:</u>
- The length of the hypotenuse is 33 yards.
<u>Step-by-step explanation:</u>
<em>We can solve for 'a' using Pythagoras theorem. Let's solve it.</em>
- 65² = b² + 56²
- => 4225 = b² + 3136
- => b² = 1089
- => b = 33
Hence, the length of the hypotenuse is 33 yards.
Hoped this helped.
Answer:
(-9.5, -4)
Step-by-step explanation:
Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:
.
Given two endpoints of the original segment
→ (-10, -8) [(x₁, y₁)] and (-8, 8) [(x₂, y₂)]
Along with the ratio of the two partitioned segments
→ 1 to 3 = 1:3 [a:b]
Formed by the point that partitions the original segment to create the two partitioned ones
→ (x?, y?)
We can apply this formula and understand how it was derived to figure out where the point of partition is.
Here is the substitution:
x₁ = -10
y₁ = -8
x₂ = -8
y₂ = 8
a = 1
b = 3
. →
→
→
→
→
→
→
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Now the reason why this