Answer:
Yes
Step-by-step explanation:
21/3=7
15/3=5
Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1
Answer:
Cubic polynomial function with zeros 3,3 and -3 is 
Step-by-step explanation:
We need to find a cubic polynomial function with zeros 3,3 and -3.
If zeros of polynomial are: 3,3,and -3
we can write:
x=3, x=3, x=-3
Or
We can write:
x-3=0, x-3=0, x+3=0
Now, we can write them as:
(x-3)(x-3)(x+3)=0
Multiplying the terms, we can find the polynomial:
So, cubic polynomial function with zeros 3,3 and -3 is
We know the CE = 10x + 18 and DE = 7x - 1 and D is the midpoint of CE
⇒ CE = 2 * DE
⇒ 10x + 18 = 2 * (7x - 1)
⇒ 10x + 18 = 14x - 2
⇒ -4x = -20
⇒ x = 5
Now we also know that BC = 9x - 3 and AC = CE = 10x + 18
⇒ AB = AC - BC
⇒ AB = 10x + 18 - (9x - 3)
⇒ AB = x + 21
Substituting the value of x,
⇒ AB = 5 + 21
⇒ AB = 26
Hence, the value of AB is 26 units.
Answer:
Step-by-step explanation:
The formula relating distance (d), speed (s), and time (t) is
d = st
1. Calculate the distance
d = 269 s × 4.6 m·s⁻¹ = 1240 m
2.Calculate the track radius
The distance travelled is the circumference of a circle
