Question

Part A: The area of a square is (9x^2 24x 16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (16x^2 − 25y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answer 1

Brainliest? >.>

Answer 2

hehe

Answer 3

@Elsa213 my mistake sorry

Answer 4

@Elsa213 can you help me with the question please

Answer 5

```
9x^2 + 24x + 16
= (3x + 4)(3x + 4)
length of each side = 3x + 4 units.

Par B

16x^2 - 25y^2
= (4x + 5y )( 4x - 5y)

length = 4x + 5y and width = 4x - 5y
```

Source:
Google

Answer 6

thank you so much! :)

Answer 7

i have one more question :)

Answer 8

An expression is shown below:

f(x) = 5x^2 + 2x − 3

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answer 9

@Elsa213

Answer 10

Part A:
To find x intercepts, first factor
5x^2 + 2x − 3
(5x - 3)(x + 1)
Solve for x
5x - 3 = 0
5x = 3
x = 3/5
x + 1 = 0
x = -1
So 3/5 and -1

Answer 11

ok awesome thats part a :)

Answer 12

Yes
now since the first term is positive, that means the graph is going in a U shape and it has a minimum

Answer 13

Which is at (-0.2, -3.2)

Answer 14

To show the work
to find x it is x = -b/2a
so x = -2/2*5
x = -0.2
Plug that in for x and you get y = -3.2

Answer 15

Part C, to graph you would plot the x intercepts and minimum and then if you want more points just put any number for x, find the y and plot

Answer 16

ok so wait for part b, its..?

Answer 17

@Mehek

Answer 18

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Mehek
Yes
now since the first term is positive, that means the graph is going in a U shape and it has a minimum
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 19

And then everything after that before the "part C"

Answer 20

ok perfect thank you so much