Answer:
4x⁻¹
Step-by-step explanation:
4x + 20 25 - x²
_______ ÷ _______ ↷
x² - 5x [x - 5]²
4[x + 5] [-5 + x][5 + x]
_______ ÷ _______
x[x - 5] [x - 5][x - 5]
So what we did here was factor out ALL the Greatest Common Factors [GCFs] in each denominator and numerator, and since we are dividing vertically AND horizontally, according to this, ALL [x - 5] and [x + 5] cancel each other out and all you are left with is this:
4x⁻¹
OR
This, according to the Negative Exponential Rule [Reverse], is how you rewrite it as a fraction. You bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:
b⁻ⁿ = 1\bⁿ
I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.
Answer:
m = -1/3
Step-by-step explanation:
There are two ways that you can use to get this answer.
The first way is to use the graph. You can see that to get from Point A to Point B, the dots go over 1 and down 3. For the fraction, you put the amount that you go to the side (1) over the amount you go down (3) to get 1/3. Since the points go down gradually, the slope is negative, so 1/3 becomes -1/3.
The second way is to take the two points, (1, 4) and (2, 1) and subtract them. First, subtract the x-coordinate from Point B from Point A to get -1. Then do the same thing with the y-coordinates to get 3. Put the -1 over 3 because x comes before y, and you have your slope.
I hope this helped :)
Rhombus RSTU is congruent to WXYZ, and are translational images of each other because all their sides and angles are equal
<h3>What are the properties of a rhombus?</h3>
Some of the properties of a rhombus are;
- All the opposite sides are parallel to each other.
- Diagonals bisect each other perpendicularly.
- The angles are supplementary, that is, they add up to 180°
If Rhombus RSTU is congruent to WXYZ, then they are both translation images of each other because all their sides and angles are equal.
Learn more about a rhombus here:
brainly.com/question/20627264
#SPJ1
Answer:
-3/4 p^11
Step-by-step explanation:
9/16p^7 ⋅ (-4/3p^4)
Multiply the numbers together
9/16 * -4/3 = -3/4
Now multiply the variables
p^7 * p^4
We know that a^b* a^c = a^(b+c)
p^(7+4) = p^11
Putting these back together
-3/4 p^11
The correct answer is 'C'
