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3 years ago

Classify the following expression by degree and term: x2y − 7xy + xyz + x

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

4 0

3rd degree polynomial with 4 terms

VLD [36.1K]3 years ago

4 0

Answer:

3rd degree of polynomial with 4 terms.

Step-by-step explanation:

The given expression is $x^2 y - 7xy + xyz + x$

The given expression is a polynomial.

Let's find the degree of the polynomial.

The degree of the polynomial is highest degrees of the expression.

To find the degree of expression, we need to find highest degrees.

x^2 y = 2 + 1 = 3 (Add the power of the variables)

xyz = 1 + 1 + 1 = 3 (Added the power of the variables)

Therefore, the highest degree of the polynomial is 3.

There are 4 terms.

So, it is 3rd degree of polynomial with 4 terms.

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Triangle ABC is similar to triangle PQR, as shown below:

natita [175]

Answer:

$\frac{q}{b}=\frac{r}{c}$

Step-by-step explanation:

Consider the options for this question are as follow,

$\frac{q}{c}=\frac{r}{b}$

$\frac{c}{p}=\frac{b}{a}$

$\frac{c}{a}=\frac{q}{r}$

$\frac{q}{b}=\frac{r}{c}$

Here, In triangles ABC and PQR,

AB = c, BC = a, AC = b, PQ = r, QR = p and PR = q,

Since,

$\traingle ABC\sim \triangle PQR$

We know that,

The corresponding sides of similar triangles are in same proportion,

Thus,

$\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}$

$\frac{c}{r}=\frac{a}{p}=\frac{b}{q}$

$\frac{r}{c}=\frac{p}{a}=\frac{q}{b}$

$\implies \frac{q}{b}=\frac{r}{c}$

3 0

3 years ago

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Solve 5z(z+2)(z−1)=0.

fredd [130]

Answer:

if you are solving for z it is:

Step-by-step explanation:

z=0,-2,1

5 0

3 years ago

Which number is a factor of 56 6, 8,11,112?

Lelechka [254]

8 would be the best answer to the question.

3 0

3 years ago

What is 17/18 + 1/20

MrMuchimi

Answer:

179/180

Step-by-step explanation:

Step One

Find the prime factors of 18 and 20

18:3*3*2

20: 2 * 2 * 5

Step Two

You need two 2s two 3s and one 5 for the common denominator

The common denominator is 2 * 2 * 3 * 3 * 5 = 180

Step Three

Put the two fractions over 180

$\dfrac{17*10}{10*18} + \dfrac{1*9}{10*18}$

$\dfrac{170}{180} + \dfrac{9}{180}$

179/180

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3 years ago

How can you use the Distributive Property to check your work when factoring? Once an expression has been factored, use the Distr

Mariana [72]

Answer:

Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.

Step-by-step explanation:

The distributive property for any binary operation Ф under * in the given set S where a, b, c ∈ S

The binary operation a * (b Ф c) = (a * b) Ф (a * c) .

The operation * distributes over the operation Ф.

Now, when factoring, suppose we have an expression ab + ac. To factor this, we have a(b + c).

To check that our answer is correct, since the expression has been factored, we then distribute the multiplication over the addition to check if the factorization is correct.

So, a(b + c) = ab + ac which is our initial expression.

So, to use the distributive property to check work when factoring, once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.

3 0

3 years ago

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