Given : Scale drawing of Angel's rectangular room is 5cm by 7 cm
We know that, Area of a rectangle is given by : Length × Width
⇒ Area of Angel's rectangular room = (5 cm × 7 cm) = 35 cm²
Given : The scale is 1 cm = 4 feet
⇒ Area of Angel's rectangular room in square feet = 35 × (4 feet)²
⇒ Area of Angel's rectangular room in square feet = 35 × 16 feet²
⇒ Area of Angel's rectangular room in square feet = 560 feet²
Because the focus is (-2,-2) and the directrix is y = -4, the vertex is (-2,-3).
Consider an arbitrary point (x,y) on the parabola.
The square of the distance between the focus and P is
(y+2)² + (x+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
Answer:
x = 11°
4x = 44°
Step-by-step explanation:
Line BC || Line EF... (given)
BF is transversal.
is exterior angle of 
Hence, by remote interior angle theorem of triangle, we have:

Answer:
x = -4
Step-by-step explanation:
1) Distribute
3(x - 6) + 6 = 5x - 4
3x - 18 + 6 = 5x - 4
2) Add the numbers
3x - 18 + 6 = 5x - 4
3x - 12 = 5x - 4
3) Add 12 to both sides
3x - 12 = 5x - 4
3x - 12 + 12 = 5x - 4 + 12
4) Simplify
Add The Numbers:
3x - 12 + 12 = 5x - 4 + 12
3x = 5x - 4 + 12
Add the numbers:
3x = 5x - 4 + 12
3x = 5x + 8
5) Subtract 5x from both sides
3x = 5x + 8
3x - 5x = 5x + 8 - 5x
6) Simplify
Combine like terms:
3x - 5x = 5x + 8 - 5x
-2x = 5x + 8 - 5x
Combine like terms:
-2x = 5x + 8 - 8
-2x = 8
7) Divide both sides by each factor
-2x = 8
-2x/-2 = 8/-2
8) Simplify
Cancel terms that are in both the numerator and denominator:
-2x/2 = 8/-2
Divide the numbers:
x = 8/-2
x = -4
Solution:
x = -4
Answer:
xcvbnm
Step-by-step explanation:
n