Answer:
B
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant.
Using the distance formula
= | y - 6 |
Squaring both sides
(x + 2)² + (y - 4)² = (y - 6)² ← distributing
x² + 4x + 4 + y² - 8y + 16 = y² - 12y + 36 ( subtract y² - 12y + 36 from both sides )
x² + 4x + 4 + 4y - 20 = 0 ( subtract x² + 4x + 4 from both sides )
4y - 20 = - x² - 4x - 4 ( add 20 to both sides )
4y = - x² - 4x + 16 ( divide through by 4 )
y = - 
x² - x + 4, that is
f(x) = - x² - x + 4 → B
Answer:
<u><em>x = 3</em></u>
<u><em>angle B = 70 degree</em></u>
<u><em>angle C = 50 degree</em></u>
Step-by-step explanation:
<em>angle B + angle C = angle CDA ( exterior angle property)</em>
(22x+4) + (15x +5) = 120
22x + 15x + 4 + 5 = 120
37x + 9 = 120
37x = 120- 9
37x = 111
x = 
x = 3
angle B = 22x + 4
= 22(3) +4
= 66 +4
angle B = 70 degree
angle C = 15x+5
= 15( 3) + 5
= 45 + 5
angle C = 50 degree
<em>Hope this helps.</em>
For the first part it’s A
For the second part it’s 115 years
Answer: 6.36lb
Step-by-step explanation:
Step-by-step explanation:
Total Weight of the package = weight of product + weight of box
Weight of empty box =0.88lb
Total weight of the box is =7.24lb
Let Weight of product inside box=w
Let wet of empty box =y
Total weight = F
Then,
F=y+w
Since F=7.24lb. y=0.88
Then, w=F-y
w=7.24-0.88
w=6.36lb
The weight of the product is 6.36lb
hope this helps :)
Answer:
Incomplete question, check attachment for diagram of the question
Step-by-step explanation:
Given that,
AD = 20cm
DC = 15cm
BC = 7cm
AB = 24cm
Since the shape consist of two right angle triangle,
Then, we will find the area of each triangle and add them together to find the area of the quadrilateral ABCD
Area of a triangle can be calculated using
A = ½b×h
Then,
For triangle 1, its area is
A_1 = ½ × DC × AD
A_1 = ½ × 15 × 20
A_1 = 150 cm²
Fro triangle 2
A_2 = ½ × BC × AB
A_2 = ½ × 7 × 24
A_2 = 84 cm²
Then, the total area is
A = A_1 + A_2
A = 150 + 84
A = 234 cm²
Area of the quadrilateral ABCD is 234cm²
