The distances between the given pairs of points are:
- (-8, -2) and (6, -1); d = 14.04
- (-4, 5) and (4,0); d = 9.85
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How to find the distance between two points?</h3>
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
d = √( (x₁ - x₂)^2 - (y₁ - y₂)^2)
1) The first pair of points is (-8, -2) and (6, -1), using the above formula we can see that the distance is:
d = √( (-8 - 6)^2 - (-2 +1)^2) = 14.04
2) The second pair is (-4, 5) and (4,0), and using the distance formula, we get:
d = √( (-4 - 5)^2 - (4 - 0)^2) = 9.85
If you want to learn more about the distance between points:
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Given:
Two diameters intersect each other.
To find:
The correct statement regarding two adjacent arcs created by two intersecting diameters.
Solution:
We know that, two diameter intersect each other at origin and measure of arc is equal to the corresponding angle generated by the intersection of diameters.
If two lines intersect each other then we get 4 angles and sum of any two adjacent angles is 180°.
It means the sum of any two adjacent central angles generated by the intersection of diameters is 180°.
So, the sum of two adjacent arcs created by two intersecting diameters is 180°.
Therefore, the correct option is C.
Answer:
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Step-by-step explanation:
Given,
There are 8 seats in a row.
There are 8 seats in a row.4 seats are occupied.
Available seats = 8 - 4 = 4 seats
Fraction of seats available:


Reduce the fraction with GCF 4

Hope this helps..
Best regards!!
Answer:
54
Step-by-step explanation:

Parentheses (14 + 42 - 6) = 50:
⇒ 50/10 + 7²
Exponents 7² = 49:
⇒ 50/10 + 49
Multiplication/division 50/10 = 5:
⇒ 5 + 49
Addition/subtraction: 5 + 49 = 54
⇒ 54
Answer:
c
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
equals =1.25256565