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3 years ago

Help, please! Thankyou!!!!

Mathematics

2 answers:

alukav5142 [94]3 years ago

6 0

Answer: C

Step-by-step explanation: simply apply the distributive property to each half of the expression to be left with terms that can be combined.

(8x + 16y)/2 = 4x + 8y

4(x - y) = 4x - 4y

(4x + 8y) + (4x - 4y) = 4x + 4x + 8y - 4y

= 8x + 4y => C

11111nata11111 [884]3 years ago

6 0

Answer:

$\frac{8x+16y}{2}+4(x-y)=\frac{2*4x+2*8y}{2}+4*x-4*y\\\\=\frac{2*(4x+8y)}{2}+4x-4y\\\\=4x+8y+4x-4y=8x+4y$

Step-by-step explanation:

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Does the system have one, none or infinite solutions?<br> 8x + 4y = 12<br> y = -2x + 3

Vitek1552 [10]

Answer:

Infinite solutions

Step-by-step explanation:

6 0

3 years ago

(3/1/2 - 9/3/4) / (-2.5)=

Alex73 [517]

<h3>Answer :</h3>

$\: \: \:$

$= \rm \large \frac{3 \frac{1}{2} - 9 \frac{3}{4} }{ - 2.5}$

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$= \rm \large \frac{ \frac{7}{2} - 9 \frac{3}{4} }{ - 2.5}$

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$= \rm \large \: \frac{ \frac{7}{2} - \frac{39}{4} }{ - 2.5}$

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6 0

2 years ago

The functions f(x)=√x^2+12x+36 and g(x)=x^3-12 are defined below. Which expression is equal to f(x) · g(x)? A.x^4-6x^3-12x+72 B.

Lostsunrise [7]

Answer:

C: x^4+6x^3-12x-72

Step-by-step explanation:

For the function : f(x)=√x^2+12x+36

It can be factorized to

f(x)=√(x+6)²

=x+6

f(x)*g(x)

=(x+6)(x^3-12)

Expand the brackets

=x^4-12x+6x^3-72

rearrange the numbers

x^4+6x^3-12x-72

3 0

2 years ago

-10(n+30)=1/2(24-14n)

Pavel [41]

N = -104 is the correct answer

6 0

2 years ago

Given \qquad m \angle LONm∠LONm, angle, L, O, N is a straight angle. \qquad m \angle MON = 8x - 13^\circm∠MON=8x−13 ∘ m, angle,

Tamiku [17]

Answer:

<h3> $\boxed{99°}$ </h3><h3 />

Step-by-step explanation:

m<MON = 8x - 13°

m<LOM = 7x - 17°

To find : m <MON

First, we have to find the value of x :

Create an equation

$\mathrm{8x - 13 + 7x - 17 = 180}$ ( sum of angle in straight line )

Collect like terms

$\mathrm{15x - 13 - 17 = 180}$

Calculate

$\mathrm{15x - 30 = 180}$

Move constant to R.H.S and change its sign

$\mathrm{15x = 180 + 30}$

Calculate the sum

$\mathrm{15x = 210}$

Divide both sides of the equation by 15

$\mathrm{ \frac{15x}{15} = \frac{210}{15} }$

Calculate

$\mathrm{x = 14}$

Now, let's find the value of m<MON

$\mathrm{8x - 13}$

Plug the value of x

$\mathrm{ = 8 \times 14 - 13}$

Calculate the product

$\mathrm{ = 112 - 13}$

Calculate the difference

$\mathrm{ = 99}$ °

Hope I helped!

Best regards!

6 0

2 years ago