Answer:
x = -1
y = 1
Step-by-step explanation:
y = 3x+4
y = -2x-1
-2x-1 = 3x+4
-5x - 1 = 4
-5x = 5
x = -1
Substitute this x value into 1 of the equations given in the problem:
y = 3(-1)+4
y = -3+4
y = 1
answer is 11/3.
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Answer: The triangle has two angles of 49.99° and one angle of 80.02°
Step-by-step explanation:
We have a triangle with sides of 7mm, 9mm and 7mm
The triangle has two equal sides, so this means that this is a Isosceles triangle.
The angles are
The base of this triangle is the side with 9mm, and the two base angles are equal.
We can find the base angles by drawing a line from the middle of the base to the top vertice, then we will have a triangle rectangle with a hypotenuse of 7mm, a adjacent cathetus of 4.5 mm, and with this two things we can find the base angle by using the relation
cos(a) = adjacent cathetus/hypotenuse = 4.5mm/7mm
a = Acos(4.5/7) = 49.99°
Then in our isosceles triangle we have two base angles of 49.99°
To find the other angle we can use the fact that the 3 inner angles of a triangle adds up top 180°
Then
49.99° + 49.99° + A = 180°
A = 180° - 2*49.99° = 80.02°
Answer:
8 m/s^2
Step-by-step explanation:
You can use the equation a = v^2 / r
That is acceleration is equal to velocity squared divided by the radius which in this problem is the length of the string. The velocity is 4m/s and the r the radius is 2 m. Now you can square 4 m/s to get 16 m^2/s^2 THEN you divide by 2 m and the m^2 turns to just m and the 16 to an 8. So, that leaves you with acceleration or in this case centripetal acceleration equals 8 m/s^2.
a = 8 m/s^2 or 8 meters per second squared.
Consider this solution:
the only solution is (-1;-1), it is intersection point.