1/4 of the room was painted in 3/7 hour.
1 of the room would be painted in: (3/7) / (1/4)
= 3/7 *4/1 = 12/7 hour.
It would be done in 12/7 hour.
Answer:
The standard form of the equation of the ellipse is
Step-by-step explanation:
The standard form of the equation of an ellipse with center (h , k) is
, where
- The coordinates of the vertices are (h , k ± a)
- The coordinates of the co-vertices are (h ± b , k)
- The coordinates of the foci are (h , k ± c), where c² = a² - b²
∵ The vertices of the ellipse are (-3 , 7), (-3 , 1)
∴ h = -3
∴ k + a = 7 ⇒ (1)
∴ k - a = 1 ⇒ (2)
- Add (1) and (2) to find k
∴ 2k = 8
- Divide both sides by 2
∴ k = 4
- Substitute the value of k in (1) or (2) to find a
∵ 4 + a = 7
- Subtract 4 from both sides
∴ a = 3
∵ The co-vertices of the ellipse are (-5 , 4), (-1 , 4)
∴ k = 4
∴ h - b = -5 ⇒ (1)
∴ h + b = -1 ⇒ (2)
∵ h = -3
- Substitute the value of h in (1) or (2) to find b
∴ -3 + b = -1
- Add 3 to both sides
∴ b = 2
∵ The standard form of the equation of the ellipse is
- Substitute the values of h, k, a, and b in the equation
∴
∴
The standard form of the equation of the ellipse is
Answer:
5x+ 4y =20
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
= (0-5)/(4-0)
= -5/4
We know the slope = -5/4 and the y intercept (x=0) y= 5
The euqation in slope intercept form is
y=mx+b whre m is the slope and b is the y intercept
y = -5/4 x +5
Multiply each side by 4 to get rid of the fraction
4y = 4*-5/4x + 5*4
4y = -5x+20
Add 5x to each side
5x+4y = 5x-5x+20
5x+ 4y =20
This is the standard form of a line
Ax + By =C
Answer:
40.8 yd
Step-by-step explanation:
From SOH CAH TOA, you know that the relationship between the adjacent side (distance to tower) and opposite side (height of tower) of the relevant triangle is given by ...
... tan(11°) = (height of tower)/(distance to tower)
Multiplying by the denominator, we have ...
... height of tower = (distance to tower) × tan(11°)
... = (210 yd) × 0.19438 ≈ 40.82 yd
Rounded to the nearest 0.1 yd, the height is 40.8 yd.
Answer:
x/2
Step-by-step explanation:
2xy^4/4y^4
y^4 cancels out from both the numerator and denominator
2x/4
Divide 2 on both sides
x/2