What does it mean in Maths when it says translate triangle p by the vector.(2 -7)
1 answer:
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Answer:
Option D
Step-by-step explanation:
Option A:
(3)¹ × (3)⁻¹⁰ = (3)⁽¹⁻¹⁰⁾ = 3⁹
=
=
Option B :
(3)⁻¹ × (3) ¹⁰ = 3⁽¹⁰⁻¹⁾
= 3⁹
= 19683
Option C :
(3⁻⁴) × (3)⁷ = 3⁽⁷⁻⁴⁾
= 3³
Option D :
3⁴ × 3⁻⁷ = 3⁴⁻⁷
= 3⁻³
=
=
Therefore, option D is the answer.
Answer:
A ) The value of x for the given circle with chords and center is 8.3
B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082
Step-by-step explanation:
Given two figures :
<u>For Figure first </u>
A circle with center y , having two chords FM and NM
FM = 5 x
MN = 2 x + 25
Now from theorem of circle ,
Chords equidistant from center of circle are equal in length
I.e distance of chord MN from center y and distance of FM from center y are equal
So, FM = MN
Or, 5 x = 2 x + 25
Or, 5 x - 2 x = 25
Or, 3 x = 25
∴ x = = 8.33
<u>For figure second</u>
The length of two adjacent chords of circle is 1.2 cm and 0.5 cm
Let the center of circle = O
Length of chord AB = 1.2 cm
Length of chord BC = 0.5 cm
As both chords are at 90° to each other
So The Length of diameter of circle AC =
Or, The Length of diameter of circle AC =
Or, The Length of diameter of circle AC =
Or, The Length of diameter of circle AC =
∴ The Length of diameter of circle AC = 1.3 cm
So, Circumference of circle =
Or, Circumference of circle = 3.14 × 1.3
∴ Circumference of circle = 4.082 cm
Hence,
A ) The value of x for the given circle with chords and center is 8.3
B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082 Answer