Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed = 
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings = 
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
= 
+ 
- 2bcCos A
= 
+ 
-2(5000 x 3000) Cos 105
= + -2(5000 x 3000) x (-0.2588)
= 2.5 x 
+ 9 x 
+ 7764000
= 41764000
a = 
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.
Answer:
f(x) = (x -(-3))(x -(-4))
Step-by-step explanation:
The function can be written as the product of binomial terms whose values are zero at the given zeros.
(x -(-3)) is one such term
(x -(-4)) is another such term
The product of these is the desired quadratic function. In the form easiest to write, it is ...
f(x) = (x -(-3))(x -(-4))
This can be "simplified" to ...
f(x) = (x +3)(x +4) . . . . simplifying the signs
f(x) = x^2 +7x +12 . . . . multiplying it out
Answer:
x=−4/5 or x=−3
Step-by-step explanation:
Step 1: Factor left side of equation.
(5x+4)(x+3)=0
Step 2: Set factors equal to 0.
5x+4=0 or x+3=0
x=−4/5 or x=−3
Answer
The answer to your question is 2 x 2 x 5 x 5 or 2² 5²
Step-by-step explanation:
Process
1.- To find the prime factors of a number, we must divide the number by prime numbers like 2, 3, 5, 7, 11, etc. starting from the lowest number.
100 2
50 2
25 5
5 5
1
Then 100 = 2 x 2 x 5 x 5 or 2² 5²
Answer:
The simplified expression is
20x^2 - 33x - 27
Step-by-step explanation:
(6x - 9 - 2x)(8 + 5x - 5)
We must first rewrite the expression as a product of two binomials.
This can be done by adding like terms
(6x - 9 - 2x)(8 + 5x - 5)
We have,
(4x-9)(5x+3)
Multiplying the resulting binomial expression
(4x-9)(5x+3)
(20x^2+12x-45x-27)
Add the like terms
20x^2-33x-27
The simplified expression is
20x^2 - 33x - 27
Twenty x squared minus thirty-three x minus twenty-seven
