Answer:
The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).
Step-by-step explanation:
We have to solve the given quadratic equation of single variable t.
The equation is 16 = 2t + 0.25t²
⇒ 0.25t² + 2t - 16 = 0
⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}
⇒ 25t² + 200t + 400 - 400 - 1600 = 0
⇒ (5t + 20)² - 2000 = 0
⇒ (5t + 20)² - (20√5)² = 0
⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0
So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0
⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0
⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)
33 part a is h=30 so a=15 and I think it would be 121 cm2 for the area
33 part b is just the first base which is 12
33 part c is 176.4 is the length
Midpoint = ( 7 + (- 5 )/2) , ( 0 + (-4)/2)
(7-5/2) , (0-4/2)
(2/2) , (-4/2)
(1 , -2)<-- this point will be in quadrant 4 see it in graph
Answer:
x = 4.5
Step-by-step explanation:
Since the perimeters are equal , then the equation relating them is
2x + 3 + 2x - 3 + x = x + 3 + x + 3 + x + 3 , that is
5x = 3x + 9 ( subtract 3x from both sides )
2x = 9 ( divide both sides by 2 )
x = 4.5
Answer: y = 3x+2
The equation is in the form y = mx+b
m = 3 is the slope
b = 2 is the y intercept
