Given: 3j+k/2=15-4k; Prove j=10-3k

And Given 5x-2y=x+14; Prove y=2x-7

Step-by-step explanation:

Solving (a):

Given

Required: Prove

Multiply through by 2

Subtract k from both sides

Divide through by 3

j = 10 - 3k

Solving (b):

Given

Required

Prove:

Subtract 5x from both sides

Divide through by -2

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1