Answer:
x = 6 or x = -15
Step-by-step explanation:
x2+9x−90=0
Step 1: Factor left side of equation.
(x−6) (x+15)=0
x−6=0
x+15=0
x=6
x=−15
x=6
x=−15
Step-by-step explanation:
First we solve it.
I'll use substitution.
In the first equation y equals -2x+2 so we can apply that to the second equation
2y + 4x = 4
2(-2x+2) + 4x = 4
distribute
-4x+4+4x=4
simplify
4=4
To figure out how many solutions it has:
•If both side of the equal sign are exactly the same: Infinitely many
ex: 6x=6x
•If both sides of the equal sign do not match when completely simplified: No solutions
ex: 3x=-5x
•If it creates an equation: 1 solution
ex: x=3+2y
Since both sides of the equal sign are 4, we have infinitely many solutions.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
It would be -3, because you have to do -3-14 in order to get -17
Answer:
39.407 hour
Step-by-step explanation:
T = D/S
37.5 m/s in km/h
=375×18/10×5
=135 km/h
T = ABCDEFGHIOJKLMNOPQRSTUVWXYZ
Answer:
19.4 feet
Step-by-step explanation:
When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.
- Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
- Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
- Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.
Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.
We set up the equation
.
We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. 
And finally we have
. We input to calculator.

See the attached picture below showing the shore with the boat out at sea and the position of the person.