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2 years ago

Expand and fully simplify 3(x + 1) + 2(3x + 4)

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

4 0

Answer:

$\Large\boxed{\sf{9x+11}}$

Step-by-step explanation:

Given:

Isolate the term of x from one side of the equation.

Use the distributive property.

DISTRIBUTIVE PROPERTY:

$\Longrightarrow: \sf{A(B+C)=AB+AC}$

Each term within the parentheses can be multiplied by a factor outside the parentheses.

3(x+1)

3*x=3x

3*1=3

Rewrite the expression down.

3x+3

3x+3+2(3x+4)

Multiply expand.

2(3x+4)

2*3x=6x

2*4=8

6x+8

3x+3+6x+8

Combine like terms.

3x+6x+3+8

Add the numbers from left to right.

3+8=11

3x+6x+11

Add.

Solutions:

3x+6x=9x

$\Longrightarrow: \boxed{\sf{9x+11}}$

Therefore, the final answer is 9x+11.

I hope this helps. Let me know if you have any questions.

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drek231 [11]

So basically, what this question is asking you for is the surface area of the entire cone.
To find it, we can use the formula:
SA = 3.14*r*l+3.14*r^2, where r is radius and l is lateral height
Now, all we have to do is plug all of the given values into the equation

Therefore, the equation we get is:
SA = 3.14*1.5*5 + 3.14*1.5^2
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If we round this number to the nearest whole number, we get 31 square inches

Therefore the answer is 31

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2 years ago

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Paraphin [41]

Answer:

Step-by-step explanation:

1). In ΔABC,

For angle A as a reference angle,

Opposite side of ∠A → BC

Adjacent side of ∠A → AC

Hypotenuse → AB

2). By using tangent ratio in ΔYWZ,

tan(72°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(72°) = $\frac{12}{x}$

x = $\frac{12}{\text{tan}(72)}$

x = 3.899

x ≈ 3.9

3). By using sine rule in ΔKNM,

tan(x°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

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x = $\text{tan}^{-1}(\frac{20}{58} )$

x = 19.03

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4). By applying cosine ratio in ΔJKF,

tan(70°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(70) = $\frac{60}{x}$

x = $\frac{60}{\text{tan}(70)}$

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3 years ago

What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?

dimaraw [331]

Answer:

y - 1 = - 4(x + 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (- 3, 1), hence

y - 1 = - 4(x - (- 3)), thus

y - 1 = - 4(x + 3) ← in point- slope form

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3 years ago

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kirill115 [55]

I can conclude that the sign of the other integer is positive and that the other integer is 6 or greater.

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bazaltina [42]

Answer:

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2 years ago

Expand and fully simplify 3(x + 1) + 2(3x + 4)​

Expand and fully simplify 3(x + 1) + 2(3x + 4)