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2 years ago

What is the value of the rational expression below when is equal to 5?

Mathematics

1 answer:

yaroslaw [1]2 years ago

7 0

Answer:

$\boxed {C. -2}$

Step-by-step explanation:

$\textsf {Substitute x = 5 in the expression :}$

$\longrightarrow \mathsf{\frac{15 - x}{x - 10}}$

$\longrightarrow \mathsf{\frac{15 - 5}{5 - 10}}$

$\longrightarrow \mathsf{\frac{10}{-5}}$

$\longrightarrow \mathsf{-2}$

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Which pairs are like terms in expression 2/5y + 1/5x - 0.2y - 6 + (-2)

Gelneren [198K]

The pair of like terms are:

$\frac{2}{5}y \text{ and } -0.2y$

Solution:

Given expression is:

$\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)$

We have to find the pairs that are like terms in the given expression

Like terms means that, terms that have same varibale but different ( or same ) coefficients

Here in the given expression "x" and "y" are the two variables present

Arrange the like terms

$\frac{2}{5}y-0.2y+\frac{1}{5}x-6+(-2)$

So here the first two terms has same varibale "y" but different coefficients. So they form a pair of like terms

"x" is present only once . There is no other term with variable "x"

6 and -2 are constants

So the pair of like terms are: $\frac{2}{5}y \text{ and } -0.2y$

3 0

3 years ago

The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor

Anestetic [448]

2 positive unit tiles are needed to complete the factorization.

Given

The partial factorization of x^2 – 3x – 10 is modeled with algebra tiles.

<h3>Partial factorization;</h3>

Partial fractions are the fractions used for the decomposition of a rational expression.

When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction.

In the second line, we can see that first term 1 is labeled + x squared, second is labeled + 2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.

The negative values are represented as tiles labeled below (negative tiles) while positive values are tiles labeled above (positive tiles).

Therefore,

The factorization is;

$\rm x^2-3x-10=0\\\\x^2+2x-5x-10=0\\\\x(x+2)-5(x+2)=0\\\\(x+2)(x-5)=0$

Hence, 2 positive unit tiles are needed to complete the factorization.

To know more about Partial factorization click the link given below.

brainly.com/question/2057063

4 0

2 years ago

find the measure of the third angle of a triangle given that the first two angels are 44 degrees and 72 degrees

dangina [55]

Let the third angle be x.

The sum of the interior angles of all triangles is 180 degrees. Thus, you can set the interior angles' sum equal to 180 and solve for the third angle, x.

44 + 72 + x = 180

116 + x = 180 (collect like terms)

x = 64 (subtract 116 from both sides)

Answer:

The measure of the third angle is 64 degrees.

6 0

3 years ago

Read 2 more answers

A chord 20 inches long is 4 inches from the center

Lilit [14]

Answer:

The radius of the circle is 10.8 inches

Step-by-step explanation:

Given:

Length of the chord = 20 inches

Distance of the chord from the center of the circle = 4 inches

To find:

radius of the circle=?

Solution:

As shown in the figure below, the radius, r, is the hypotenuse of a right triangle. One leg of the triangle is 4 and the other is half o f20 , or 10. Using the Pythagorean theorem to calculate the length of R, as follows:

$(4)^2 +(10)^2= (R)^2$