Identify the ordered pair that represents the vector from A(1,6) to B(2, -3) and the magnitude of AB-
a. 2, -4) 189 * 11.0554
C. (2. - 10). 184 x 10.0554
b. -10,3). 578 * 7.0554
d. (1, -9), 182 * 9.0854
Please select the best answer from the choices provided

Vector & Magnitude is (1,-9) & 9.0854 respectively! Correct option is

D) (1, -9), 182 * 9.0854

Step-by-step explanation:

Here we have , We have to Identify the ordered pair that represents the vector from A(1,6) to B(2, -3) and the magnitude of AB . Let's find out:

Vector that represents from A(1,6) to B(2, -3) is given by :

⇒

⇒ or ,

⇒

Now , Magnitude of vector AB is :

⇒

⇒

⇒

⇒

⇒

Therefore , Vector & Magnitude is (1,-9) & 9.0854 respectively! Correct option is D) (1, -9), 182 * 9.0854

the barter

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°