Competency: Write the linear equations Ax + By = C. Give the value of A,B, and C,.
1 answer:
Answer:
see explanation
Step-by-step explanation:
(1)
y = - x + 4 ( add x to both sides )
x + y = 4
with A = 1, B = 1, C = 4
(2)
y = 5x + 7 ( subtract y from both sides )
0 = 5x - y + 7 ( subtract 7 from both sides )
- 7 = 5x - y , that is
5x - y = - 7
with A = 5, B = - 1, C = - 7
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(1)
2x + y = 9 ( subtract 2x from both sides )
y = - 2x + 9
with m = - 2, c = 9
(2)
5x + 2y = 7 ( subtract 5x from both sides )
2y = - 5x + 7 ( divide terms by 2 )
y = - x +
with m = - , c =
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Answer:
Isosceles
Step-by-step explanation:
Consider triangle ABC, BD is the median and the altitude drawn to the side AC. This segment (BD) divide the triangle ABC into two triangles: ABD and CBD.
In these triangles:
- AD=DC (because BD is the median);
- ∠ADB=∠CDB=90° (because BD is the altitude);
- BD is common side.
Thus, by SAS postulate, triangles ABD and CBD are conruent. Congruent triangles have congruent corresponding sides. Hence, AB=CB.
If in triangle ABC, AB=BC, then this triangle is isosceles.
