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postnew [5]
3 years ago
9

Which is true about the triangle in the diagram?

Mathematics
1 answer:
artcher [175]3 years ago
3 0

Answer:

Angle S and angle T are congruent.

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Which operation between two polynomials will not always result in a polynomial?
Assoli18 [71]
In order to build a polynomial we need one or more terms. A term is a number, variable (denoted by a letter) or any combination of numbers and variables held together by multiplication. The following are examples of terms:

5, 3x, -5ab c^{2},  \frac{2x^{3}y }{5},  x^{6}

Now it might look like one of those involves division but it can be thought of as multiplication by (2/5). When we do this the exponents must be positive.

Polynomials are expressions made up of terms held together by addition and subtraction. Again, the exponents must be positive. Since polynomials are made up of the sum or difference of terms, adding or subtracting polynomials just leads to more polynomials. Here are some examples of Polynomials:

4xy-3 x^{2} +7,  \frac{2x}{5}-3abc-5j

Now let’s consider what happens if we multiply polynomials. As an example we use: (x+5)(2x-y)=2 x^{2} +10x-xy-5y

What you might notice is that multiplication will lead us to multiply terms (but multiplying terms gives us more term,as) and also to add or subtract terms but that just gives more polynomials. Therefore multiplication leads to more polynomials.

Finally, we consider division. Here a simple example will do the trick: 2 is a term and x is a term. Let us divide 2 by x. We get: \frac{\2}{x}=2 x^{-1}  which is not a polynomial because we have a negative exponent. 

Thus, the answer to your question is division. Division of polynomials will not always result in a polynomial.

_______END OF ANSWER___________
 is. 
5 0
3 years ago
If g(x) = 2(x − 4), find the value of x if g(x) = 20.
arsen [322]

g(x)=2(x-4)\\\\g(x)=20\to2(x-4)=20\qquad\text{divide both sides by 2}\\\\x-4=10\qquad\text{add 4 to both sides}\\\\\boxed{x=14}

8 0
3 years ago
Read 2 more answers
The diagram shows a scale drawing of a rectangular banner with a scale of 1:30. Calculate
AlexFokin [52]

Answer:

Part 1) The actual length of the banner is 1.2\ m

Part 2) The area of the banner is 3.24\ m^{2}

Step-by-step explanation:

we know that

The scale of the drawing is \frac{1}{30}

That means ----> 1 cm on the drawing represent 30 cm in the actual

Using proportion

<em>Find out the actual dimensions of the banner</em>

Let

L  the actual length of the banner

W the actual width of the banner

<u>For a length of 4 cm in the drawing</u>

\frac{1}{30}=\frac{4}{L}\\ \\ L=30*4\\ \\L=120\ cm

Convert the actual length to meters

L=120/100=1.2\ m

<u>For a width of 9 cm in the drawing</u>

\frac{1}{30}=\frac{9}{W}\\ \\ W=30*9\\ \\W=270\ cm

Convert the actual width to meters

W=270/100=2.7\ m

<em>Find the area of the banner</em>

A=1.2*2.7=3.24\ m^{2}

5 0
3 years ago
H(x)=2x;find h(7) please help​
bearhunter [10]
2? bc if x=7 then it equals 2(7) which is 14 sooo i believe either 7 or 2
5 0
3 years ago
Read 2 more answers
Simplify by combining like terms: 2x + 3x + 7​
DaniilM [7]

Answer: 5x+7

Step-by-step explanation:

2x+3x+7

5x+7

7 0
4 years ago
Read 2 more answers
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