The lengths of each of the segments connected by the given pairs of points are:
1. AB = 10 units
2. CD = 17 units
3. EF = 3 units
<h3>How to Find the Length of Segments Connected by Two Points?</h3>
To find the length of a segment connected by two coordinate points, the distance formula is applied, which is:
d = 
.
1. Find the length of segment AB:
A(5,-3)
B(-3,3)
AB = √[(−3−5)² + (3−(−3))²]
AB = √[(−8)² + (6)²]
AB = √100
AB = 10 units
2. Find the length of segment CD:
C(-2, -7)
D(6, 8)
CD = √[(6−(−2))² + (8−(−7))²]
CD = √(64 + 225)
CD = 17 units
3. Find the length of segment EF:
E(5,6)
F(5,3)
EF = √[(5−5)² + (3−6)²[
EF = √(0 + 9)
EF = √9
EF = 3 units
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2 x 10 x 7 = 7 x 10 x 2 = 10 x 2 x 7 = 7 x 2 x 10
Answer:
a)14 or b)74
Step-by-step explanation:
I'm assuming the question is how many combinations are there.
A) If toppings can't stack it would be 14, since there are 6 toppings for 2 pies and also you can go without toppings. or *2
B) If toppings can stack, then there can be 74 from being able to stack 6 toppings on one pizza and then two pizzas without it or (6^2)*2+2
Answer:
The correct option is Option C
Step-by-step explanation:
We are given the lines: 
The lines are perpendicular if they have opposite slopes i,e 
In line 1 the slope is 
(Comparing with slope-intercept form 
we get the value of m=-4/5)
In line 2 the slope is 
(Comparing with slope-intercept form we get the value of m=-5/4)
The opposite reciprocal of -4/5 is 5/4
So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.
If the lines are parallel there slope must be same. Hence lines are not parallel as well.
So, The correct option is Option C
