(100 Points & Brainliest, Must answer all steps fully! Show work!)

Equations Used:
Linear Equation: y = -x + 1
Parabolic Equation: y = x2 + x - 2

Part A:
Show all work to solve your system of equations algebraically & The solutions for the system. (End Result should be 2 ordered Pairs. Show all steps.)

Part B:
Graph your system of equations and show the solution graphically to verify your solution. (Can be an Image)

Part C:
Show how to use the identity below to square your number, 32.
(Show your work)

(x-y)2 =x2 -2xy+y2

Rewrite your 2-digit number as a difference of 2 numbers:


Use the identity above to square your number while showing your steps.

Part D:
Show how to use the identity below to calculate the sum of the cubes of your numbers while showing your steps.
a3 +b3 =(a+b)(a2 -ab + b2)

Chosen Number Set: a=10 and b=14

Rewritten as the sum of cubes:


Calculate the sum of the cubes showing your steps.

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

нιѕ яαтє ιѕ 1/4 σя .25 ριєѕ ρєя мιиυтє

нσρє ι ¢συℓ∂ нєℓρ уσυ.