Answer:
2 (real) solutions.
Step-by-step explanation:
A quadratic always has two solutions, whether they are real or complex.
Sometimes the solution is complex, involving complex numbers (2 complex), sometimes they are real and distinct (2 real), and sometimes they are real and coincident (still two real, but they are the same).
In the case of
x^2+3x = 3, or
x² + 3x -3 = 0
we apply the quadratic formula to get
x = (-3 +/- sqrt(3^2+4(1)(3))/2
to give the two solutions
{(sqrt(21)-3)/2, -(sqrt(21)+3)/2,}
both of which are real.
Answer:
8yz+xy
like terms and then solve it
Answer:
the distance between the two points is √130.
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 = 9^2 = 81
b^2 = 7^2 = 49
c^2 = 81 + 49 = 130
c = √130
Answer:
Options A, D and E.
Step-by-step explanation:
Formula to calculate the volume of the triangular prism is,
Volume of the triangular prism = (Area of the triangular base)×(height)
= B × h
Area of the right triangular base = 
= 
= 56 m²
Volume of the prism = 
= 392 cubic meter
Therefore, from the given options correct options are Option A, Option D and Option E.
<span>x=number of brown shoes
2x=number of black shoes (twice as many black shoes as brown shoes)
so x+2x=66
add like terms 3x=66
solve for x by dividing 3; x=22
so there are 22 brown shoes and 44 black shoes (2 x 22= 44)</span>