Answer:
Distance = 7.8 units
Step-by-step explanation:
In coordinate geometry, the distance between the 2 points is given by

where (x1,y1) and (x2,y2) are coordinates of the 2 points.
Above the 2 points given are, (-2,-1) and (3,5).
<em>x1 = -2 , y1 = -1 , x2 = 3, y2 = 5</em>
<em>
</em>
<em>
</em>
<em>Distance = 7.8102 units</em>
To the nearest tenth, Distance = 7.8 units
Answer:
5.05
Step-by-step explanation:
3.25+1.80=5.05
Answer:
speed of the boat = 100 mph
Step-by-step explanation:
Let x = speed of the boat
upstream speed = x - 4
downstream speed = x + 4
time = 24/(x - 4) = 26/(x + 4)
Cross multiply:
24(x + 4) = 26(x - 4)
24x + 96 = 26x - 104
104 + 96 = 26x - 24x
200 = 2x
x = 100 mph

1) Since in the USA 8 x 10 ^9 messages are sent every month, that means that approximately 8 billion messages are sent.
2) We can Prime factorize it:
Note that on the right side we've picked only prime numbers. In this case, 2 and 5.
So we can rewrite 8 x 10^9 as prime factors.

3) Hence, the answer is:
Given:
The equation is

To find:
The number of roots and discriminant of the given equation.
Solution:
We have,

The highest degree of given equation is 2. So, the number of roots is also 2.
It can be written as

Here,
.
Discriminant of the given equation is





Since discriminant is
, which is greater than 0, therefore, the given equation has two distinct real roots.