The answer is either
or 
To solve: Let's solve your equation step-by-step.
5x2+5x−x2−x=2004
Step 1: Simplify both sides of the equation.
4x2+4x=2004
Step 2: Subtract 2004 from both sides.
4x2+4x−2004=2004−2004
4x2+4x−2004=0
Step 3: Use quadratic formula with a=4, b=4, c=-2004.
x=
−b±√b2−4ac
/2a
x=
−4±√32080
/8
or 
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.
The mean of a dataset is the sum of all data elements divided by the count of the elements.
The location of the 6th score relative to the mean is 5 points below the mean
Let:
<em> Mean</em>
<em> 5 scores</em>
<em> 6th scores</em>
Given that:

The 5 scores that are 1 above the mean implies that:

The mean of a dataset is calculated using:

So, we have:


Open brackets

Multiply both sides by 6

Make b the subject


This means that the 6th score is 5 points below the mean
Read more about mean at:
brainly.com/question/17060266
Answer: The awnser is 45 degrees
Step-by-step explanation:
As you can see there are two z's which equal to 90 degrees and one z eqquals to 45 degrees.
<u>Answer-</u>
<em>The values of </em><em>x and y are 20° and 30</em><em>, respectively.</em>
<u>Solution-</u>
As in the given triangle all the angles are same so it must a equilateral triangle.
In an equilateral triangle all the measurements of the angles and side length are same. The measurement of the angels are 60°.
As given in the question one side length is 46, so all the side length are same.
So,

We know that an exterior angle of a triangle is equal to the sum of the opposite interior angles. 80° is the exterior angle opposite to x and one angle of triangle at the top vertex.



Therefore, the values of x and y are 20° and 30, respectively.