All categories

2 years ago

What algebraic property is demonstrated in the equation below? 5(8x-4) - 10 = 40x - 20 -10

Mathematics

1 answer:

sammy [17]2 years ago

5 0

Answer:

Distributive Property is demonstrated in equation below.

5(8x-4) - 10 = 40x - 20 -10

Step-by-step explanation:

Distributive Property:

The distributive property lets us multiply a sum by multiplying each addend separately and then add the products.

Normally,students does not understand by these word definition we will see some examples based on that.

$A(B\pm C)=A\times B \pm A\times C$

Here A is multiplied by B and then addition sign or Subtraction sign and then A is multiplied by C is done by distributive property that means we are distributing A to B and C.

Here given,

5(8x-4) - 10 = 40x - 20 -10

by applying distributive property we get

$5(8x-4) - 10 = 5\times8x-5\times 4 -10\\=40x -20-10\\5(8x-4) - 10 =40x-30$

You might be interested in

Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slop

OLEGan [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is $y = -4 x$

Step-by-step explanation:

From the question we are told that

The line is $y = \frac{1}{4} x + 8$

The point is P(0,0 )

Generally the equation for a line is $yn = mx + c$

Now comparing this with the given equation we see that

$m =\frac{1}{4} = slope$

$C =8 = intercept$

Generally the slope of the perpendicular to the given line is mathematically evaluated as

$m_1 = - \frac{1}{m}$

=> $m_1 = - \frac{1}{ \frac{1}{4}}$

=> $m_1 = -4$

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and $m_1 = -4$ is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

$y = -4 x$

8 0

2 years ago

2.74 as a mix number

Inga [223]

Answer:

2 74/100

Step-by-step explanation:

6 0

2 years ago

Suppose n(x)= 22 and n(y) is 13 what is the maximum number of elements X ∪Y can have ?

Nikolay [14]

The inclusion/exclusion principle states that

$|X\cup Y|=|X|+|Y|-|X\cap Y|$

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).

Therefore, $|X\cup Y|$ will have the most elements when the sets $X$ and $Y$ are disjoint, i.e. $X\cap Y=\emptyset$ , which would mean the most we can can in this case would be

$|X\cup Y|=|X|+|Y|=22+13=35$

(Note that $n(X)=|X|$ denotes the cardinality of the set $X$ .)

3 0

3 years ago

What is the domain of ^3√x^4+9?

navik [9.2K]

That would be c

x could be any real number.

3 0

2 years ago

A table of values of a linear function is shown below.

STALIN [3.7K]

Answer:

Slope is -2

y intercept is -3

Equation :y=-2x-3

Step-by-step explanation:

6 0

2 years ago