Answer:
x = 20
Step-by-step explanation:
Perimeter = Sum of all sides
Perimeter = (x+4)+(4x)+10x-(10)
Where Perimeter = 294 in.
294 = 15x-6
15x = 294+6
15x = 300
Dividing both sides by 15
=> x = 20
Answer:
Angle 2 = 27 and Angle 1 = 135
Step-by-step explanation:
Let x = angle 2
Let 5x = angle 1
5x+x=162
6x=162
x=27
Angle 1 = 5(27)
Angle 1 = 135
<span>The factors of 45 are 1, 3, 9, 15, & 45. </span>
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
1 garm = $50.04
7.5 gram = 50.04 × 7.5 = $375.3