I believe it is the bookshelf one
1)
2x^2 - 13x - 24 = 0;
the discriminant is : ( - 13 )^2 - 4 * 2 * ( -24 ) = 169 + 192 = 361 = 19^2 => we have two different rational-number solutions ;
2)
[ -2( x + 2 ) - 3( x - 5 ) ] / [ ( x - 5 )( x + 2 ) ] < 0 <=>
( -5x + 11 ) / [ ( x - 5 )( x + 2 ) ] < 0
We have 2 situations :
a) - 5x + 11 < 0 and ( x - 5 )( x + 2 ) > 0 => x∈ ( 11 / 5 , + oo ) and x∈( -oo, - 2 )U
( 5 , + oo ) => x∈( 5, +oo);
b) - 5x + 11 > 0 and ( x - 5 )( x + 2 ) < 0 => x∈(-oo, 11/5) and x∈( -2, 5 ) =>
x∈( -2, 11/5 );
Finally, x∈ U (-2, 11 / 5 ) U ( 5, +oo).
Answer:
Volume = 3
Step-by-step explanation:
l x w x h
3/2 * 4 * 1/2 = 3
I hope this helps :)
The tangent trigonometric function is equal to the quotient of sine and cosine through the trigonometric identity. In this case, we are given with x = 9 tan (theta). Hence the answer to this problem is the expounded algebraic expression x = 9 sin (theta) / cos (theta).
Value of x is x=16
Step-by-step explanation:
We are given two similar triangles and we need to find x.
Two triangles are similar, if their sides are in proportion and their angles are congruent.
Sides are proportional:
Solving the proportion to find value of x
Cross multiply
So, value of x is x=16
Keywords: Similar Triangles
Learn more about similar triangles at:
#learnwithBrainly
