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trapecia [35]
2 years ago
8

The graph shows two lines, A and B.

Mathematics
1 answer:
RoseWind [281]2 years ago
6 0

Answer:

<u>Part A</u>

Two lines can be parallel or intersect. There is no solution when the lines are parallel, infinite solutions when lines overlap.

  • Since A and B intersect, there is <u>one</u> solution.

<u>Part B</u>

The intersection of A and B is a point with coordinates:

  • (3, 4)
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Does anyone know the answer to this?
PolarNik [594]

Answer:

(B) The exponents should be subtracted by the quotient rule of exponents

Step-by-step explanation:

Let's examine how this was solved.

(\frac{4^2 4^3}{4^{-5}})^2

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

\frac{4^4 4^6}{4^{-10}}

He then combined the numerator exponents. Exponent rules say that a^b \cdot a^c = a^b+c, so he should have ended up with 4^{10}, which he did. This is correct.

\frac{4^{10}}{4^{-10}}

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have \frac{a^b}{a^c}, it equals a^{b-c}.

10 - (-10) = 10+10 = 20

So the final answer should have been 4^{20}

Hope this helped!

6 0
3 years ago
Ten individuals are candidates for a committee. Two will be selected. How many different pairs of individuals can be selected?
Nina [5.8K]

Answer:

45

Step-by-step explanation:

The different pairs of individual can be computed using rule of combination.

The combination is denotes as nCr.

nCr=n!/(r!(n-r)!)

In the given problem n=total candidates=10 and r= Selected candidates=2.

10C2=10!/(2!(10-2)!)

10C2=10*9*8!/(2!8!)

10C2=90/2

10C2=45

So, 45 different pairs of individuals can be selected.

6 0
2 years ago
Read 2 more answers
Is x^2+3x+8 a monomial, binomial, or trinomial
torisob [31]

Answer:

A trinomial

Step-by-step explanation:

Since there are three terms, x^2, 3x, and 8, it is a trinomial

6 0
3 years ago
Select one of the factors of x3y2 + 8xy2 + 5x2 + 40.
aniked [119]

Answer:

Option a - xy^2+5

Step-by-step explanation:

Given : Polynomial x^3y^2+8xy^2+5x^2+40

To find : Select one of the factors of polynomial ?

Solution :

The polynomial  x^3y^2+8xy^2+5x^2+40

We factor of above polynomial by taking common terms,

xy^2(x^2+8)+5(x^2+8)

(xy^2+5)(x^2+8)

From the given options,

xy^2+5 is one of the factors of polynomial.

Therefore, option a is correct.

5 0
3 years ago
What is they answer on the sheet of paper for my homework
geniusboy [140]
Um not sure but thanks for asking:)
3 0
2 years ago
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