Answer:
a. -216, 0 real roots
Step-by-step explanation:
The discriminant of ...
ax² + bx + c = 0
is ...
d = b² -4ac
When we put your equation into the standard form shown above, we get ...
7n² +8n +10 = 0
Then we can identify a=7, b=8, c=10. The discriminant is then ...
d = 8² - 4·7·10 = 64 -280 = -216
___
The interpretation of the discriminant is ...
- < 0; no real roots (2 complex roots)
- = 0; one real root (multiplicity 2)
- > 0; 2 real roots
Your discriminant is -216, so there are 0 real roots.
82 degrees and 98 degrees
First, find the original equation
180 = (x) + (x + 16)
Simplify: 180 = 2x + 16
Next, use the subtraction property of equality to subtract 16 from both sides
180 - 16 = 2x + 16 - 16
Simplify: 164 = 2x
Then, you can use the division property of equality to find the value of x
164/2 = 2x/2
Simplify: 82 = x
Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees
Answer
Find out the the rate of the boat in still water.
To proof
let us assume that the speed of the boat in the still water = u
let us assume that the speed of the current = v
Formula
As given
18 miles downstream for 3 hours
Now for the downstream
u + v = 6
now for the upstream
As given
the trip back against the current takes 6 hours
u-v = 3
Than the two equation becomes
u + v = 6 and u - v = 3
add both the above equation
we get
2u = 9
u = 4.5miles per hour
put this in the u - v = 3
4.5 -v = 3
v =1.5 miles per hour
The rate of the boat in the still water is 4.5miles per hour .
Hence proved
We can proceed in solving the problem since all information are given such as 2*4*5costheta.
we have a=4, b=5, and C=theta
let us solve for "c" using Pythagorean
c²=a²+b²
c²=4²+5²
c=6.4
Solving for theta or C
c²=a²+b²-2abcosC
6.4²=4²+5²-2*4*5*cosC
C=90
Answer:
4
Step-by-step explanation:
4
