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grigory [225]
3 years ago
13

Describe the addition pattern and find the next two terms.

Mathematics
1 answer:
Dmitry [639]3 years ago
6 0
The answer to this question is A
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The measure of an exterior angle of a triangle is less than the measure of either of its corresponding remote interior angles..
natali 33 [55]
The measure of an exterior angle of a triangle is equal to sum of its remote interior angles.
Answer: false.
3 0
3 years ago
Simplify to create an equivalent expression.
Elis [28]

You would use PEMDAS so that means you would start by multiplying 3 with the parentheses 3(2+6d) on both sides then you would combine like terms so you would add 18d+18d. Then you would subtract 6- -5 on both sides then solve for a one-step equation

3(2+6d)-5=3(2+6d)-5
6+18d-5=6+18d-5
6+36d-5=6-5
1+36d=1
-1. -1
36d/36. 0/30
D=0
7 0
3 years ago
What is the sum of the opposite of 9 and the inverse of 9?
allochka39001 [22]

Answer:

-18

Step-by-step explanation:

3 0
4 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3x%5E%7B8%7D%2A7x%5E%7B3%7D%20%7D%7B3x%5E%7B6%7D%2A7%20%7D" id="TexFormula1" title="
denis23 [38]

Answer:

a = \dfrac{x^2}{3} \quad \textsf{and} \quad b = \dfrac{x^3}{7}

Step-by-step explanation:

Given expression:

\dfrac{3x^{8} \cdot 7x^{3} }{3x^{6} \cdot 7 }

There are several ways this problem can be approached, and therefore many different answers.  The goal is to reduce the given expression to a simple product of two terms in x, set that to the given form 3a⋅7b then solve for a and b.

\implies \dfrac{3x^{8} \cdot 7x^{3} }{3x^{6} \cdot 7}

Cancel the common factors 3 and 7:

\implies \dfrac{\diagup\!\!\!\!3x^{8} \cdot \diagup\!\!\!\!7x^{3} }{\diagup\!\!\!\!3x^{6} \cdot \diagup\!\!\!\!7}

\implies \dfrac{x^8 \cdot x^3}{x^6}

Separate the fraction:

\implies \dfrac{x^8}{x^6} \cdot  x^3

\textsf{Apply the quotient rule of exponents} \quad \dfrac{a^b}{a^c}=a^{b-c}:

\implies x^{8-6} \cdot x^3

\implies x^{2} \cdot x^3

Now equate the simplified expression to the given form:

\implies x^{2} \cdot x^3=3a \cdot 7b

Therefore:

\begin{aligned}x^{2} &=3a \:\:   &\textsf{ and }\:\: \quad x^3 &=7b\\ \Rightarrow a & = \dfrac{x^2}{3} & \Rightarrow b & = \dfrac{x^3}{7}\end{aligned}

However, we could also separate them as:

\begin{aligned}x^{3} &=3a \:\:   &\textsf{ and }\:\: \quad x^2 &=7b\\ \Rightarrow a & = \dfrac{x^3}{3} & \Rightarrow b & = \dfrac{x^2}{7}\end{aligned}

Another way of writing them would be to go back a few steps and separate the fraction in x terms differently:

\implies \dfrac{x^8 \cdot x^3}{x^6}=x^8 \cdot \dfrac{x^3}{x^6}=x^8 \cdot x^{-3}

Therefore, this would give us:

\begin{aligned}x^{8} &=3a \:\:   &\textsf{ and }\:\: \quad x^{-3} &=7b\\ \Rightarrow a & = \dfrac{x^8}{3} & \Rightarrow b & = \dfrac{1}{7x^3}\end{aligned}

As the given expression reduces to x⁵, we can separate the x term in any way we like, so long as the coefficient of a is ¹/₃ and the coefficient of b is ¹/₇.  Therefore, there are many possible answers.

7 0
2 years ago
Read 2 more answers
Should be easy hopefully........​
RideAnS [48]

Answer:

Step-by-step explanation:

Point A represents the integer 5.

Point B                                        -8

Point C                                        -15

Point D                                         18

4 0
3 years ago
Read 2 more answers
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