Answer:
Step-by-step explanation:
A polynomial is in its standard form when arranged in descending order based on the variable involved.
Looking at the provided polynomial
- s is presented in descending powers
- r is in ascending order
Thus, the first term of the polynomial should meet these criteria:
- Power of r is less than 2
- Power of s is greater than 4.
The following meets these requirements:
To create algebraic expressions that represent quantities, translate the verbal description into mathematical terms following the sentence’s structure. For example, “one minus a number equals zero” becomes
1. 1 – n = 0.
Another example: John bought 25 apples and Julia bought 15. If Niccole bought twice as many as Julia, how many apples did Niccole buy?<span><span>
Steps:</span>First, restate the situation clearly so you can identify the relationship and how to form the expression.</span>
<span><span>
Solution:</span>Julia = 15 apples
Niccole = 2Julia
</span>Thus, 2Julia = 2(15) = 30 apples.
Answer:
Using integer tiles, you would either add five sets of negative two tiles or take away two sets of five positive tiles. On the number line, you would jump 5 spaces to the left
Step-by-step explanation:
I hope this is helpful :)
The answer
the full question is
If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) create two line segments, and AB ⊥ CD, what condition must be satisfied to establish that AB ⊥ CD?
Let A(x1, y1) and B(x2, y2) represent the first line, while C(x3, y3) and D(x4, y4) represent the second line.
The slope for the first line is given by m = (y2 - y1) / (x2 - x1).
For the second line, the slope is m' = (y4 - y3) / (x4 - x3).
The necessary condition to demonstrate that AB ⊥ CD is
(y2 - y1) * (y4 - y3)
m × m' = --------- × ------------ = -1
(x2 - x1) (y4 - y3)
The reasoning follows that both angles are 90 degrees.
