If you would like to know how far is Julian from his starting position, you can calculate this using the following steps:
First, you have to make a right triangle, where the hypotenuse of this triangle will actually be the distance we are looking for. The distances of the other two sides are 444 kilometers, and 777 kilometers - 222 kilometers; to be exact: 444 kilometers and 555 kilometers.
The distance we are interested in ... d:
d^2 = 444^2 + 555^2
d^2 = 197136 + 308025 = 505161
d = sqrt(505161)
d = <span>710.7 kilometers
</span>
The correct result would be <span>710.7 kilometers.</span>
Step-by-step explanation:
3a²-7a−6
Factor the expression by grouping. First, the expression needs to be rewritten as 3a
2
+pa+qa−6. To find p and q, set up a system to be solved.
p+q=−7
pq=3(−6)=−18
Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.
1,−18
2,−9
3,−6
Calculate the sum for each pair.
1−18=−17
2−9=−7
3−6=−3
The solution is the pair that gives sum −7.
p=−9
q=2
Rewrite 3a
2−7a−6 as (3a
2−9a)+(2a−6).
(3a 2−9a)+(2a−6)
Factor out 3a in the first and 2 in the second group.
3a(a−3)+2(a−3)
Factor out common term a−3 by using distributive property.
(a−3)(3a+2)
Answer:
The answer to your question is 2(x - 9/2)(x - 3/5)
Step-by-step explanation:
Polynomial 20x² - 102x + 54
Process
1.- Find the Greatest Common Factor
20 102 54 2
10 51 27 2
5 51 27 3
5 17 9 3
5 17 3 3
5 17 1 5
1 17 17
1
GCF = 2
2.- Factor 2
2(10x² - 51x + 27)
3.- Factor 10x² - 51x + 27
Use the general formula to solve this equation
x = 
a = 10 b = -51 c = 27
x = 
-Simplification
x = 
-Result
x₁ = 9/2 x₂ = 3/5
(x - 9/2) (x - 3/5)
4.- Answer
2(x - 9/2)(x - 3/5)
Answer:
Yes, C is the correct answer
Step-by-step explanation:
Just look where the red arrow starts and where the blue arrows ends
