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Answer:
5√5
Step-by-step explanation:
Use the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-7-(-2))² +(-7-3)²) = √((-5)² +(-10)²) = √(25 +100)
d = √125 = √(25·5)
d = 5√5 . . . . distance between the points
Answer:

Step-by-step explanation:
we would like to figure out the derivative of the following:

to do so, let,

By simplifying we acquire:

use law of exponent which yields:

take derivative in both sides:

use sum derivation rule which yields:

By constant derivation we acquire:

use exponent rule of derivation which yields:

simplify exponent:

two negatives make positive so,

<h3>further simplification if needed:</h3>
by law of exponent we acquire:

simplify addition:

and we are done!
Answer: AAA similarity.
Step-by-step explanation: CB is the transversal for the parallel lines AB and DE, and so by transverse property, we have ∠CED ≅ ∠CBA. Similarly, CA acts as a tranversal for the same pair of parallel lines AB and DE and using the same property, we can have ∠CDE ≅ ∠CAB. Now, in triangles CED and ABC, we have
∠CED ≅ ∠CBA,
∠CDE ≅ ∠CAB
and
∠DCE ≅ ∠ACB [same angle]
Hence, by AAA (angle-angle-angle) similarity,
△CED ~ △ABC.
Thus, the correct option is AAA similarity.
Answer:
See below
Step-by-step explanation:
32. w + 5 = -20
w = -20 - 5
w = - 25
33. x - 17 = -32
x = -32 + 17
x = - 15
34. t + 7.2 = 1.65
t = 1.65 - 7.2
t = - 5.55
35. -0.4 = g - 4.9
g = - 0.4 + 4.9
g = 4.5
36. y - 2/5 = 1 3/5
y = 1 3/5 + 2/5
y = 1 5/5 or 2
37. -5 1/6 = 2 1/3 + p
p = - 5 1/6 - 2 1/3 convert 1/3 to x/6 for a common denominator
1/3 converts to 2/6
p = -5 1/6 - 2 2/6
p = - 7 3/6 or - 7 1/2
38. You were given that
Simone = $65.35 + Dan
Simone = Carly - 37.50
Carly = 127.75
So Simone = 127.75 - 37.50 = 90.25
Simone = 65.35 + Dan or Dan = Simone - 65.35
Dan = 90.25 - 65.35 = 24.90