I believe it’s graph c :)
Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form
The correct answer is C!!
Hope this helped!!!
Answer:
So length of top of table is 3x-7 inches.
Step-by-step explanation:
Here we are given that the top of the table has a width that is given by 2x inches.
The area of the top is given by:
Now the top of the table is of the shape of rectangle and area of rectangle is given by:
where l is length of the table and w is width of the table.
Plugging the values of A and w in the formula we have:
Dividing by 2x,
l=3x-7 inches
So length of top of table is 3x-7 inches.
The similar Triangle OPN and triangle LMN are similar have the ratio LM / MN = OP / NP
<h3>What are
similar figures?</h3>
Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Triangle OPN and triangle LMN are similar, hence:
LM / MN = OP / NP
The similar Triangle OPN and triangle LMN are similar have the ratio LM / MN = OP / NP
Find out more on similar figures at: brainly.com/question/2644832
