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Scilla [17]
3 years ago
11

Carmen simplifies the expression (4 y + 8 x + 6) + 25 + (4 x + 6 y + 7). The coefficient of the variable y in her simplified ans

wer is 4. 6. 10. 12.
Mathematics
2 answers:
Anarel [89]3 years ago
8 0

Answer:

10

Step-by-step explanation:

(4 y + 8 x + 6) + 25 + (4 x + 6 y + 7).

Combine like terms

4y+6y  + 8x+4x  + 6+25+7

10y+12x+38

Oksi-84 [34.3K]3 years ago
4 0

Answer:

10

Step-by-step explanation:

original expression:

4y +8x +6) +25+(4x+6y+7)

Let's simplify it step-by-step:

4y+8x+6+25+4x+6y+7x (removing the parentheses)

4y+12x +6+25+6y+7 (adding together similar terms in x)

10y+12x+6+25+7 (adding together similar terms in y)

10y+12x+38 (adding together similar terms with no variable)

So, from the final expression, we see that the coefficient for y is 10.

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Scorpion4ik [409]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
What are the solutions to this quadratic equation? 5x^2-7-18=0
Helen [10]

Answer:

x=±√5

Decimal form:

x=2.23606797

Step-by-step explanation:

6 0
3 years ago
The area of the rectangle is 40% larger than the area of the triangle.What is the length ,L, of the rectangle?
Nezavi [6.7K]

Answer:

10 units

Step-by-step explanation:

Area of the triangle (A') = 1/2bh

A' = 1/2bh............ Equation 1

Where b = base of the triangle, h = height of the triangle

From the diagram,

Given: b = 12.5 unit, h = 4 unit

Substitute into equation 1

A' = 1/2(12.5)(4)

A' = 25 squared unit.

Also,

Area of the rectangle (A) = Lenght(L)×width(w)

A = Lw............ Equation 2

From the question,

If the area of the rectangle is 40% larger than the area of the triangle

Therefore,

A = 1.4A'

A = 1.4(25)

A = 35 squared unit.

Also given: w = 3\frac{1}{2} = 7/2

Substitute into equation 2

35 = L×7/2

7L = 35×2

7L = 70

L = 70/7

L = 10 units

3 0
3 years ago
Area of a circle, diameter = 16.8cm
Vesnalui [34]

Answer:

Step-by-step explanation:

Area of circle=Pi times radius^2

Diameter is half of radius=8.4

Pi*8.4^2=221.670777637

Hope this helps!

5 0
3 years ago
Read 2 more answers
4. find the real number roots. sqrt-0.25
e-lub [12.9K]

Given is square root of a negative real number, i.e. \sqrt{-0.25}

When we find square root of positive real numbers, we get Real answers.

But when we find square root of negative real numbers, we get Imaginary answers. To solve them, we can split the given negative number into product of -1 and the number itself but with positive sign. e.g. -4 = -1 x 4.

For square root of -1, we use english letter 'i' called Imaginary unit i.e. \sqrt{-1} = i

Now we can use -0.25 = -1 x 0.25

\sqrt{-0.25} =\sqrt{-1*0.25} \\\\ \sqrt{-0.25} =\sqrt{-1}*\sqrt{0.25} \\\\ \sqrt{-0.25} =i*0.5 \\\\ \sqrt{-0.25} =0.5i

Hence, "0.5i" is the final answer.

3 0
3 years ago
Read 2 more answers
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