Answer:
-12r² + 10xr - 15x + 34r - 24
Step-by-step explanation:
1. Organize it, variables first - as well as adding constants such as 4 and -7
(5x - 6r + 8) (2r - 3)
2. Start by multiplying the 5x by (2r - 3), then -6r, followed by 8
(10xr - 15x) + (-12r^2 + 18r) + (16r - 24)
3. Simplify
10xr - 15x - 12r² + 18r + 16r - 24
4. Order by greatest to smallest factorial
-12r² + 10xr - 15x + 18r + 16r - 24
5. Combine like variables
-12r² + 10xr - 15x + 34r - 24
Answer:
4/3
Step-by-step explanation:
sohcahtoa
tan = opposite/adjacent
tanX = 32/24 = 4/3
2 lazy to plug in calc so you do diZ.

Ez $_$
Answer:
G(x)=(x-4)+9
Step-by-step explanation:
If the graph going to the left or right, then it will in like (x plus or minus #). REMEMBER THE SIGN WILL BE OPPOSIT FOR EXAMPLE: IF IT SAY RIGHT, THEN OPPOSIT SIGN WILL BE NEGATIVE (minus). IF IT SAY LEFT, THEN OPPOSIT SIGN WILL BE POSITIVE (plus).
If the graph looking up or down, then it will be like: (x) plus or minus #. THE SIGN ARE THE SAME. FOR EXAMPLE: IF IT SAY UP, THEN IT IS PLUS (positive). IF IT SAY DOWN, THEN IT IS MINUS (negative)
Answer:
The coefficient of the squared term of the equation is 1/9.
Step-by-step explanation:
We are given that the vertex of the parabola is at (-2, -3). We also know that when the <em>y-</em>value is -2, the <em>x-</em>value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.
Since we are given the vertex, we can use the vertex form:

Where <em>a</em> is the leading coefficient and (<em>h, k</em>) is the vertex.
Since the vertex is (-2, -3), <em>h</em> = -2 and <em>k</em> = -3:

Simplify:

We are also given that <em>y</em> = -2 when <em>x</em> = -5. Substitute:

Solve for <em>a</em>. Simplify:

Therefore, our full vertex equation is:

We can expand:

Simplify:

The coefficient of the squared term of the equation is 1/9.