Answer: He paid
for the T.V.
Step-by-step explanation:
We need to analize the information provided:
- The original cost of the T.V. was $599.99
- Joseph buys it at 35% off the original cost.
Let be "x" the amount Joseph paid for the T.V.
We can calculate "x" with the following expression:

Therefore, he paid
for the T.V.
Answer:
The vertex is the point (-6,-34)
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
In this problem we have

Convert in vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square . Remember to balance the equation by adding the same constants to each side.


Rewrite as perfect squares


The vertex is the point (-6,-34)
Answer:
The length side of the original square banner was 9 ft
Step-by-step explanation:
Let
x-----> the length side of the original square banner
we know that
The new area of the banner is equal to

Solve for x

Solve the quadratic equation by graphing
The solution is x=9 ft
see the attached figure
It is given that, B ≅ BC and AD ≅ CD
We need BD perpendicular to AC, then only we can say triangles AXB and CXB are congruent using the HL theorem.
If BD perpendicular to AC, means that AB and CB are the hypotenuse of triangles AXB and CXB respectively.
from the given information ABCD is a square
If BD and AC bisect each other then AX = CX
Then only we can immediately possible to prove that triangles AXD and CXD are congruent by SSS congruence theorem
3 3/4÷ 1/4
15/4÷1/4
15/4÷4/1
15*4=60
4*1=4
60/4=15
15 times 1/4 can fit into 3 3/4.