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lord [1]
4 years ago
8

Use the distributive property to write an expression equivalent to 5 Times (3+4)

Mathematics
1 answer:
ivolga24 [154]4 years ago
6 0
The distributive property states:

a(b+c) = ab + ac

Using that we get:

5\times (3+4)\\5(3+4) \\5(3) + 5(4)\\15 + 20\\35

You could also do it like:
5(3+4)\\5(7)\\35

So an expression that is equivalent to 5(3+4) is:

7(2+3)

That is your answer. It gets you the same final answer of 35.

Hope that helped :)
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a certain triangle has a 30 degree angle and a 60 degree angle which must be true statement about the triangle
aksik [14]

Answer:

The final degree is 90

Step-by-step explanation:

Because every triangle equals up to 180 degrees.

6 0
3 years ago
Help please I need to answer this question
djverab [1.8K]

Answer:

D

Step-by-step explanation:

first find the perimeter of both triangles

Original perimeter: 72 in

scaled perimeter: 24 in

A is wrong since the scaled perimeter is actually smaller.

B is wrong because its not 6 times smaller

C is wrong since it's not 1/9 of the original

D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)

6 0
3 years ago
Use the properties of limits to find the limit.<br> Picture provided below
zhannawk [14.2K]

\dfrac{4x}{x-5}=\dfrac4{1-\frac5x}, and as x\to\infty, the \dfrac5x term vanishes.

\dfrac{4x}{x^2+5}=\dfrac{\frac4x}{1+\frac5{x^2}}, and as x\to\infty, both \dfrac4x and \dfrac5{x^2} vanish.

So

\displaystyle\lim_{x\to\infty}\left(\frac{4x}{x-5}+\frac{4x}{x^2+5}\right)=\lim_{x\to\infty}(4+0)=4

and the answer is C.

7 0
3 years ago
Read 2 more answers
Factor 3x squared -12x -36
expeople1 [14]

Answer:

3x² - 12x - 36

= 3(x - 6)(x + 2)

Step-by-step explanation:

3x² - 12x - 36      Find any common factor. All terms are divisible by 3.

= 3(x² - 4x - 12)    Find two numbers that sum to -4 and whose product is -12. Replace -4 with these two numbers.

= 3(x² - 6x + 2x - 12)   Group the terms splitting from the middle

= 3( (x² - 6x) + (2x - 12) )   Find the common factor in each group.

= 3( x(x - 6) + 2(x - 6) )      The groups have a common factor (x - 6).

= 3( (x - 6)(x + 2) )           Remove the extra brackets

= 3(x - 6)(x + 2)             Fully factored

7 0
3 years ago
What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve.
koban [17]

The solution of the equation is x=3 or x=-5.

Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.

Let's assume that the (x+2)=u.

The given equation is rewritten as u²-2u-15=0.

Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as

u²-5u+3u-15=0

u(u-5)+3(u-5)=0

Taking out (u-5) as common and get

(u-5)(u+3)=0

Compare each equation with 0 and get

u-5=0 or u+3=0

u=5 or u=-3

Performing back substitution by substituting the values of u in x+2

when u=5 then x is

x+2=5

x=3

And when u=-3 then x is

x+2=-3

x=-5

Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.

Learn about the substitution here brainly.com/question/12802700

#SPJ4

3 0
2 years ago
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