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3 years ago

Please help I’m timed!!

Mathematics

2 answers:

SSSSS [86.1K]3 years ago

8 0

Answer:

5/9, 2/7, 3/10 are all rational numbers

Step-by-step explanation:

Remember that all rational numbers are able to be written as a fraction or ratio of two integers.

Marysya12 [62]3 years ago

3 0

Answer:

$\frac{2}{7}+\sqrt{121}$

Step-by-step explanation:

Since, a real number is called rational number if it can be expressed in the form of $\frac{p}{q}$ ,

Where, p and q are integers,

S.t. q ≠ 0,

If the number is not a rational number then it is irrational,

Now, the sum or difference of two rational numbers is a rational number,

While, the sum or difference of a rational number and an irrational number is an irrational number.

∵ √18, √11 and $\pi$ are irrational numbers,

Also, $\frac{5}{9}$ , $\sqrt{16}$ and $\frac{3}{10}$ are rational number,

$\implies \frac{5}{9}+\sqrt{18},\pi+\sqrt{16}, \frac{3}{10}+\sqrt{11}\text{ are irrational numbers}$

Now,

$\frac{2}{7}\text{ and }\sqrt{121}\text{ are rational numbers}$

Hence,

$\frac{2}{7}+\sqrt{121}\text{ is rational number}$

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Determine

mihalych1998 [28]

Answer:

$=4.+2.$

Step-by-step explanation:

Linear Combination Of Vectors

One vector $\vec b$ is a linear combination of $\vec a_1$ and $\vec a_2$ if there are two scalars $x_1, x_2$ such as

$\vec b=x_1\vec a_1+x_2\vec a_2$

In our case, all the vectors are given in $R^3$ but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

$\vec a_1=,\ \vec a2=,\ \vec b=$

We set the equation

$=x_1.+x_2.$

Multiplying both scalars by the vectors

$=+$

Equating each coordinate, we get

$4x_1-4x_2=8$

$5x_1+3x_2=26$

$-4x_1+3x_2=-10$

Adding the first and the third equations:

$-x_2=-2$

$x_2=2$

Replacing in the first equation

$4x_1-4(2)=8$

$4x_1=8+8$

$x_1=4$

We must test if those values make the second equation become an identity

$5(4)+3(2)=20+6=26$

The second equation complies with the values of $x_1$ and $x_2$ , so the solution is

$=4.+2.$

8 0

3 years ago

Which of the following best shows the associative property of multiplication?

Marizza181 [45]

Answer:

(4 × 3) × 6 = 4 × (3 × 6) shows the Associative Property of Multiplication.

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3 years ago

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What is the factored form of x^12y^18+1

Black_prince [1.1K]

Answer: The required factored form of the given expression is

$(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

Step-by-step explanation: We are given to find the factored form of the following algebraic expression:

$E=x^{12}y^{18}+1.$

We will be using the following formula:

$a^3+b^3=(a+b)(a^2+ab+b^2).$

Now, we have

$E\\\\=x^{12}y^{18}+1\\\\=(x^4y^6)^3+1^3\\\\=(x^4y^6+1)\{(x^4y^6)^2-x^4y^6\times1+1^2\}\\\\=(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

Thus, the required factored form of the given expression is

$(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

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3 years ago

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If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?

Ronch [10]

Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°

We need to determine the coordinates of the point A'

Reflection over the y - axis:

The coordinates of the point A is (-2,1)

The transformation rule to reflect across the y - axis is $(x,y)\rightarrow (-x,y)$

Substituting the point (-2,1) in the rule, we get;

$(-2,1)\rightarrow (2,1)$

Thus, the coordinates of the point A after reflection over the y - axis is (2,1)

Reflection over the x - axis:

The transformation rule to reflect across the x - axis is $(x,y)\rightarrow (x,-y)$

Substituting the point (2,1) in the rule, we get;

$(2,1)\rightarrow (2,-1)$

Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)

Rotation about 180°:

The transformation rule to rotate about 180° is $(x,y)\rightarrow (-x,-y)$

Substituting the point (2,-1) in the rule, we get;

$(2,-1)\rightarrow (-2,1)$

Thus, the coordinates of the point A after the rotation about 180° is (-2,1)

Therefore, the coordinates of the point A' is (-2,1)

Hence, Option B is the correct answer.

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bonufazy [111]

The place value in 6,035 is 30

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