Which equation is quadratic in form?

Jennifer is the owner of a video game and entertainment software retail store. She is currently planning to retire in 30 years a

olchik [2.2K]

Answer:

112323

Step-by-step explanation:

4 0

3 years ago

A rectangle has its vertices at (-4, -3), (-4,7), (1,7), (1, -3). What part, in percent, of the rectangle is located in Quadrant

Rasek [7]

Consider the attached figure. The whole rectangle is ABCD, while AEGF is the part located in the third quadrant. In fact, this quadrant is composed by all the points with both coordinates negative.

To answer the question, let's compute the area of the two rectangles and see what part of ABCD is AEGF.

A and B have the same x coordinate, so the length of AB is given by the absolute difference of their y coordinates:

$\overline{AB} = |A_y-B_y| = |-3-7| = |-10| = 10$

Similarly, but exchanging the role of x and y, we compute the length of BC:

$\overline{BC} = |B_x-C_x| = |-4-1| = |-5| = 5$

So, the area of the rectangle is $\overline{AB} \cdot \overline{BC} = 10\cdot 5 = 50$

The same procedure allows us to compute width and height of the sub-rectangle in the third quadrant:

$\overline{AE} = |A_y-E_y| = |-3-0| = |-3| = 3$

$\overline{EG} = |E_x-G_x| = |-4-0| = |-4| = 4$

So, the area of the portion located in the third quadrant is $\overline{AE} \cdot \overline{EG} = 3\cdot 4 = 12$

This means that the ratio between the two area is

$\cfrac{\text{area }AEGF}{\text{area }ABCD} = \cfrac{12}{50}$

If we want this ratio to be a percentage, just make sure that the denominator is 100:

$\cfrac{12}{50} = \cfrac{12}{50}\cdot \cfrac{2}{2} = \cfrac{24}{100} = 24\%$

3 0

2 years ago

The ratios in an equivalent ratio table are 3:12,4:16, and 5:20. If the first number in the ratio is 10, what is the second numb

NemiM [27]

Answer:

40

Step-by-step explanation:

If you think about it, the pattern is: Multiply by 4.

5 0

2 years ago

15 pts + brainliest to right/best answer

asambeis [7]

Split the second term 7x^2 - 8x - 12 into two terms

7x^2 + 6x - 14x - 12

Factor out common terms in the first two terms, then in the last two terms

x(7x + 6) - 2(7x + 6)

Factor out the common term; 7x + 6

4 0

2 years ago

Read 2 more answers

An ulcer patient has been told to avoid acidic foods. If he drinks coffee, with a pH of 5.0, it bothers him, but he can tolerate

kirill [66]

The equation should look like :
[H+] = (1-a)(x) + (a)(y)
Where:
5.8 = -log [H+]
5.0 = -log x
6.9 = -log y
(1-a) = proportion of x
<span>a = proportion of y
so calculating a will give you the result of how many ounces are required</span>

3 0

2 years ago