Remark
Sometimes you can avoid the distributive property. This is one of those cases. Start by dividing by 5. You can only do this is there a common factor between the left and right sides of the equal sign.
Solve
There is only 1 solution. If there was an x^2 somewhere, you would have 2 and if there was an x^3 there would be 3.
5(2x - 3) = 5 Divide both sides by 5
5(2x - 3)/5 = 5/5
(2x - 3) = 1 Remove the brackets.
2x - 3 = 1 Add 3 to both sides.
2x = 1 + 3
2x = 4 Divide by 2
x = 4/2
x = 2 <<<<< Answer
43/2 because you need to multiply
There would be 60 pages in the book totally because you would set 40/x=2/3 and solve for x.
40/x=2/3
2x=120
x=60
Answer:
You need to have some idea where you want to start if you're going to derive equations for these. You can start with a definition based on focus and directrix, or you can start with a definition based on the geometry of planes and cones. (The second focus is replaced by a directrix in the parabola.) In general, these "conics" represent the intersection between a plane and a cone. Perpendicular to the axis of symmetry, you have a circle. At an angle to the axis of symmetry, but less than parallel to the side of the cone, you have an ellipse. Parallel to the side of the cone, you have a parabola. At an angle between the side of the cone and the axis of the cone, you have a hyperbola. (See source link.)
You can also start with the general form of the quadratic equation.
.. ±((x-h)/a)^2 ± ((y-k)/b)^2 = 1
By selecting signs and values of "a" and "b", you can get any of the equations. (For the parabola, you probably need to take the limit as both k and b approach infinity.)
Answer:
Option C
Step-by-step explanation:
We are given two matrices A and B and we have to calculate the value of the expression -4A + 8B. Each element of matrix A will be multiplied by -4 and each element of matrix B will be multiplied by 8. The corresponding elements of the resulting matrices will be added.
Therefore, option C gives the correct answer.