Answer: -56 -17 0 5 34
Step-by-step explanation:
The more left you go on a number line the smaller it is
Answer:
see explanation
Step-by-step explanation:
Under a translation < 5, - 9 >
5 is added to the original x- coordinate and 9 is subtracted from the original y- coordinate, that is
A(1, 4 ) → A'(1 + 5, 4 - 9 ) → A'(6, - 5 )
B(2, - 2 ) → B'(2 + 5, - 2 - 9 ) → B'(7, - 11 )
C(- 3, 2 ) → C'(- 3 + 5, 2 - 9 ) → C'(2, - 7 )
Answer:
(x - 7)² + (y - 3)² = 5
Step-by-step explanation:
The center (h , k) is the midpoint of two end points of diameter
h = (9 + 5) / 2 = 7
k = (4 + 2) / 2 = 3
Equation of circle: (x - h)² + (y - k)² = r²
r = (√(9 - 5)² + (4 - 2)²) / 2 = √5
Equation: (x - 7)² + (y - 3)² = 5
Answer:
∠ DAB = 48°
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
∠ CAD + 60° + 90° = 180° , that is
∠ CAD + 150° = 180° ( subtract 150° from both sides )
∠ CAD = 30°
Then
∠ DAB + ∠ CAD = ∠ CAB
∠ DAB + 30° = 78° ( subtract 30° from both sides )
∠ DAB = 48°