Answer:
1) 
2) 
3) see below
4) A: 0 = 1
Step-by-step explanation:
<u>Question 1</u>





<u>Question 2</u>








<u>Question 3</u>
subtract the second equation from the first
divide both sides by -4
substitute found value for y into first equation
solve for x
<u>Question 4</u>






Solution = A
If the value of a is positive, the line slopes upwards.
<u>Answer-</u>
The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

<u>Solution-</u>
Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)
The applying the distance formula,








Two equations are formed because one will be upper from the the given line and other will be below it.
Answer:
Step-by-step explanation:
p(2p-1)-10
Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to

where
B is the area of the base
H is the height of the pyramid
we have


substitute and solve for B



step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to

we have


substitute

therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct