6(7a-10) how do I solve this

Answers

Answer 1
Answer: 6(7a-10) \n \n 6 * 7a + 6 * -10 \ / \ distribute \n \n 42a + 6 * -10 \ / \ simplify \n \n 42a + -60 \ / \ simplify \n \n 42a - 60 \ / \ simplify \n \n Answer: \fbox {42a - 60}
Answer 2
Answer: solve the brackets, to do that you should multiply the numbers inside the bracket with the first number outside and in the right to the brackets.so,

6(7a-10)= 42a-60
hence the answer is, 42a-60

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Find all values of c that will make the polynomial a perfect square trinomial. Options: c = 49 c = 100 c = 144 c = 169

Answers

Answer :

All values of \( c \), specifically \( c = 49, 100, 144, \) and \( 169 \), can make a polynomial a perfect square trinomial depending on the other terms of the polynomial.

Step-by-step explanation :

1. Understanding Perfect Square Trinomials :

A perfect square trinomial is one that can be written in the form:

\[ (ax + b)^2 = a^2x^2 + 2abx + b^2 \]

From this formula, the value \( c \) would be equivalent to \( b^2 \), and the coefficient of the linear term (the term with \( x \)) would be \( 2ab \).

2. Analyzing Given Options :

 

  - Option 1 : c = 49

    For \( c = 49 \), \( b^2 = 49 \) which implies \( b = \pm 7 \). The middle term would then be \( 2a(7) = 14a \).

 

  - Option 2 : c = 100  

    For \( c = 100 \), \( b^2 = 100 \) which means \( b = \pm 10 \). The middle term would then be \( 2a(10) = 20a \).

 

  - Option 3 : c = 144  

    For \( c = 144 \), \( b^2 = 144 \) which translates to \( b = \pm 12 \). This makes the middle term \( 2a(12) = 24a \).

 

  - Option 4 : c = 169  

    For \( c = 169 \), \( b^2 = 169 \) which gives \( b = \pm 13 \). Consequently, the middle term would be \( 2a(13) = 26a \).

3. Conclusion :

Without specific details on the polynomial or its middle term, we can deduce that any of the provided options for \( c \) can result in a perfect square trinomial if the linear term of the polynomial matches the \( 2ab \) value corresponding to that \( c \).

What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)
40
77
4,096
9,317

Answers

The answer would be 77 :)

Step-by-step explanation:

225 por 17 procedimiento

Answers

Answer:

Para multiplicar 225 por 17, puedes utilizar el método de la multiplicación estándar. Aquí está el procedimiento paso a paso:

lua

       225

   ×   17

 --------

      225   (225 multiplicado por 7)

   + 2250  (225 multiplicado por 1 y luego desplazado un lugar a la izquierda)

 --------

     3825

Por lo tanto, 225 multiplicado por 17 es igual a 3825.

The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle?a. 13 meters
b. 12 meters
c. 11 meters

Answers

Answer: 12 meters

Step-by-step explanation:

Let the width of the rectangle be w.

Then the length of the rectangle will be 2+3w

We know that the perimeter of a rectangle is given by :-

\text{P}=2(l+w), where l is length and w is width of the rectangle.

Now, according to the question, we have

2(w+2+3w)=100\n\n\Rightarrow2(2+4w)=100\n\n\Rightarrow\ 4+8w=100\n\n\Rightarrow\ 8w=96\n\nRightarrow w=12\ \text{meters}

Hence, the width of the rectangle = 12 meters

The correct answer is 12 meters. Hope that helps!

A small silver dollar pancake served at a restaurant has a circumference of 2 inches. A regular pancake has a circumference of 4 inches. Is the area of the regular pancake twice the area of the silver dollar pancake? Explain.

Answers

C=(2)(pi)(radius)
A=(pi)(radius)^2

Area of small silver dollar pancake=4pi
Area of regular pancake=16pi
16pi/4pi=4 times bigger than silver dollar pancake
NO, because in order to find the area of a circle you need to multiply pi with radius squared.

Evaluate the limit, if it exists. Show work.
lim→5 2−3−10 / 2−10

Answers

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form: 13/3

Decimal Form:  4.3

Mixed Number Form:4  1/3

Step-by-step explanation:

Hope this helps ;)