Answer:
n = 11
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
- Vertical Angles: Angles that are across from each other and are congruent
Step-by-step explanation:
<u>Step 1: Set up equation</u>
<em>Vertical angles must be congruent.</em>
(6n - 4)° = (5n + 7)°
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 5n on both sides: n - 4 = 7
- Add 4 to both sides: n = 11
Answer:
Step-by-step explanation:
Given
Rotation = +270 degrees
Required
Determine the new coordinates of Q (i.e. Q')
When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)
So:
Where:
and 
Q' will be:
Answer:
Relation 1,2,and 4 are functions, but relation 3 not is a function.
Step-by-step explanation:
function 1 input, no function with the same input like m in relation 3.
5 digit number with no repeats
1st digit has 9 possibilities
2nd digit has 8 possibilities
3rd digit has 7 possibilities
4th digit has 6 possibilities
5th fight has 5 possibilities
Therefore the answer is:
9 x 8 x 7 x 6 x 5 = 72 x 210 = 15,120
A is the correct answer.
The first term is, <span> <span>z2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +z </span> its coefficient is <span> 1 </span>.
The last term, "the constant", is <span> -2 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -2 = -2</span>
Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is <span> 1 </span>.
<span><span> -2 + 1 = -1</span><span> -1 + 2 = 1 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 2
<span>z2 - 1z</span> + 2z - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
z • (z-1)
Add up the last 2 terms, pulling out common factors :
2 • (z-1)
Step-5 : Add up the four terms of step 4 :
(z+2) • (z-1)
Which is the desired factorization
<span>Equation at the end of step 3 :</span><span> 3 • (z + 2) • (z - 1) = 0 </span>
