The product of (3+2i)and a complex number is (17+7i). The complex number is?

Answer:

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

LJ ≅ MK

LK ≅ MJ

To Prove:

∠ L ≅ ∠ M

Proof:

In  Δ LKJ  and Δ MJK

    LK ≅ MJ      ……….{Given}

    KJ ≅ KJ       ………..{Reflexive Property}

    LJ ≅ MJ       ……….{Given}

Δ LKJ ≅ Δ MJK  ....….{Side-Side-Side test}

∴∠ KLJ ≅ ∠ JMK  .....{corresponding angles of congruent triangles (c.p.ct)}

i.e ∠ L ≅ ∠ M ............Proved.

Answer:

B

Step-by-step explanation:

When we have multiple answers, we can check each to find the solution. Each ordered pair is written as (x,y,z). We substitute each into the equations to find which satisfy all equations and which do not.

A) (4,0,2)

-4(4)-5(0)-(2)=18

-16-0-2=18

Not a solution

B) (-4,0,-2)

-4(-4)-5(0)-(-2)=18

16-0+2=18

18=18 is true. We now try the other equations.

-2(-4)-5(0)-2(-2)=12

8-0+4=12

12=12

We try the last equation.

-2(-4)+5(0)+2(-2)=4

8+0+-4=4

4=4

We no longer need to try C or D because a system of equations only has one solution. B is the solution.

Answer:

The angle that the ladder made with the ground = 53.13010235°

Step-by-step explanation:

The ladder has a length of 10 ft and it leaned against a wall to form a right angle triangle. The height from the top of the ladder to the ground is given as 8 ft. The triangle formed from the illustration can be represented with the picture below.

The angle A is the angle the ladder made with the ground.

Length of ladder = c

height from the top of the ladder to the ground = a

The distance of the foot of the ladder and the wall = b

c = 10 ft

a = 8 ft

Using SOHCAHTOA

sin A = a/c

sin A = 8/10

sin A = 0.8

A = sin-1  0.8

A = 53.13010235°

Answer:

The output value of f(-2) is, 14

Step-by-step explanation:

Given the function:

            ......[1]

We have to find the output of f(-2).

Substitute x = -2 in [1] we have;

⇒

Simplify:

therefore, the output value of f(-2) is, 12