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3 years ago

Show how to use the distributive property to simplify 4(5+x)

Mathematics

2 answers:

nalin [4]3 years ago

7 0

Answer:

20+4x

Step-by-step explanation:

Distributive property is quite easy to learn... its just multiplication in an easier form to visualize once you're used to using it.

To first start this problem you want to use the number 4 in the expression 4(5+x). You then want to multiply 4 by both terms inside of the parentheses. So you would do both 4*5 and 4*x. You would then get 20+4x because 4*5=20 and 4*x is just put together as 4x.

vladimir2022 [97]3 years ago

5 0

Answer:

$4(5+x)=20+4.x$

Step-by-step explanation:

<u>Distributive property</u>:-

The distributive property is one of the most frequently used properties in mathematics.

<u>Distributive property </u>

a(b+c) = a.b+a.c ((using multiplication of distributive law)

given

$4(5+x) = 4.5+4.x$

$4(5+x)=20+4.x$

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What's the solution to<br> 1/5+1/3x>1/2-1/4?

Serjik [45]

Answer:

x> 3/20

Step-by-step explanation:

Let's solve your inequality step-by-step.

1 /5 + 1 /3 x> 1 /2 − 1 /4

Step 1: Simplify both sides of the inequality.

1 /3 x+ 1 /5 > 1 /4

Step 2: Subtract 1/5 from both sides.

1 /3 x+ 1/ 5 − 1 /5 > 1 /4 − 1 /5 1 /3 x> 1 /20

Step 3: Multiply both sides by 3.

3*( 1 /3 x)>3*( 1 /20 ) x> 3 /20

Answer:

x> 3/ 20

Hope this helps!!

6 0

3 years ago

The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?

lesya [120]

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

$x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5$

6 0

1 year ago

given that the center of a circle is at point (-3,5) and that the radius of the circle is 6 units, write the the equation of the

Anika [276]

The equation of a cricle is
$(x-h)^{2}+(y-k)^{2}=r^{2}$
h being the x coordinate of the given point and k being the y coordinate of the given point (r also being the radius).

Now we have to plug the points into the equation
$(x--3)^{2} +(y-5)^{2} = 6^{2}$
now just simplify the the equation
$(x+3)^{2} +(y-5)^{2} = 36$

3 0

3 years ago

Write (2a)^4 without exponents

bagirrra123 [75]

Answer: 2a*4*4*4*4= x (Vote me brainliest please)

Step-by-step explanation: Exponents are simply telling you to multiply the base number or expression by that many times.

3 0

3 years ago

Read 2 more answers

The points G(1, 4) and H(3, 0) are on a coordinate plane. What is the approximate distance between points G and H?

oksano4ka [1.4K]

Then the approximate distance between the points is 4.47 units.