Given Information:
Point 1 = (8, −3)
Point 2 = (4, −7)
Required Information:
Distance between points = d = ?
Answer:
Distance between points = d = √32 = 5.657
Step-by-step explanation:
We are given two points,
(x₁, y₁) = (8, −3)
(x₂, y₂) = (4, −7)
We are asked to find the distance between these two points.
The distance is given by

Substitute the given coordinates into above equation

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.
Answer:
The triangles are congruent by
SSS
Step-by-step explanation:
Given:
First Label the Diagram:
AB ≅ CD
AD ≅ BC
To Prove:
Δ ABC ≅ Δ CDA
Proof:
In Δ ABC and Δ CDA
AB ≅ CD ....……….{Given}
BC ≅ DA …………..{Given}
AC ≅ AC ……….{Reflexive Property}
Δ ABC ≅ Δ CDA ….{ By Side-Side-Side test}
Answer:
125
Step-by-step explanation:
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7.
(2b^2+7b^2+b)+(2b^2-4b-12)
(9b^2+b)+(2b^2-4b-12)
9b^2+b+2b^2-4b-12
11b^2+b-4b-12
11b^2-3b-12
8.
(7g^3+4g-1)+(2g^2-6g+2)
7g^3+4g-1+2g^2-6g+2
7g^3-2g-1+2g^2+2
7g^3-2g+1+2g^2
7g^3+2g^2-2g+1
Hope this helps!