Sin(pi/4) = 1/sqrt(2)
csc(pi/4) = sqrt(2)
csc^2(pi/4) = 2
-csc^2(pi/4) = -2
Equation: 4x+3=43
Solved: 4x=43-3
4x=40
X=10
Answer:

Step-by-step explanation:
We want to to rewrite

Use difference of two squares to get:

This implies that:


This finally simplifies to:

Therefore the required product is

X - the number of pencils
y - the number of pens
She has twice as many pencils as she has pens.

Tom borrows a pen, so she has y-1 pens. Now she has ten less pens than pencils.

Set 2y and y+9 equal to each other:
She has 9 pens.
Answer:

Step-by-step explanation:
The graph in the attachment is a quadratic function whose vertex is in the fourth quadrant.
The coordinates of a point in the fourth quadrant is of the form 
Considering the options, the vertex must have coordinates
and
.
The quadratic function in vertex form is written as;

Therefore the equation of the quadratic function is;

The correct answer is option D