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Lostsunrise [7]
3 years ago
15

Which expression is equivalent to 2(8n)^4

Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

2* 8n* 8n* 8n*8n

Step-by-step explanation:

Break it down 2(8n)^4 because 4 is the exponent you will multiply 8n four times so it will be 8n*8n*8n*8n so add the 2 to it and it will be 2*8n*8n*8n*8n. Hope this help :)  

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Simplify 12/5(10/3b+15/4) .
Elodia [21]
Step 1. Simplify 10/3b to 10b/3
12/5(10b/3 + 15/4)
Step 2. Distribute 
8b + 9

7 0
3 years ago
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I need to pass this one, please help (p.s) It would really help if you hovered over my account because I'm making these quick so
grin007 [14]

Answer:

5 times greater

Step-by-step explanation:

Slope of function 1 is 10

slope of function 2 is 2

10/2=5

6 0
3 years ago
Calculate the area of the triangle with the following vertices (3, -7), (6, 4), (-2, -3)
Monica [59]

Answer:

\boxed{\mathsf{A} \triangle = \red{\dfrac{67}{2}u.a}}

Step-by-step explanation:

Let's follow up with the solution. Considering a triangle with the vertices \mathsf{A(x_A, y_A)}, \mathsf{B(x_B, y_B)} and \mathsf{C(x_C, y_C)}, have a look at the representation in the cartesian plan.

From this representation we can say that the area (A) of a triangle through the knowledge of <u>analytical geometry</u> is given by the determinant of the vertices divided by two, mathematically,

\mathsf{A} \triangle =  \dfrac{\left| \begin{array}{ccc}  \mathsf{x_A} & \mathsf{y_A }& 1 \\  \mathsf{x_B} &  \mathsf{ y_B} & 1 \\ \mathsf{ x_C} &  \mathsf{ y_C} & 1 \end{array} \right|}{2}

So, applying this knowledge we're going to have,

\mathsf{A} \triangle =  \dfrac{\left| \begin{array}{ccc}  3 & -7 & 1 \\ 6 &  4 & 1 \\ -2 &  -3 & 1 \end{array} \right|}{2}

\mathsf{A} \triangle =  \dfrac{1}{2}\left[  \left.\begin{array}{ccc}   3 & -7 & 1 \\ 6 &  4 & 1 \\ -2&  -3 & 1 \end{array}  \right| \begin{array}{cc} 3 & -7 \\ 6 & 4 \\ -2 & -3 \end{array} \right]

\mathsf{A} \triangle = \dfrac{12 + 14 - 18 - (-8 - 9 - 42)}{2}

\red{\mathsf{A} \triangle = \dfrac{67}{2} = 33,5u.a}

Hope you enjoy it, see ya!)

\green{\mathsf{FROM}}: Mozambique, Maputo – Matola City – T-3

DavidJunior17

3 0
3 years ago
Find the area of this figure (50 points)
Softa [21]

Answer:

A_{total} = 14\ in^2

Step-by-step explanation:

<u>Step 1:  Determine the area of the left rectangle</u>

We can tell that the total shape seems like two rectangles glued together.  We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them.  Lets first solve the left rectangle.

A = l * w

A_{left\ rectangle} = 2\ in * 4\ in

A_{left\ rectangle}  = 8\ in^2

<u>Step 2:  Determine the area of the right rectangle</u>

A = l * w

A_{right\ rectangle} = 3\ in * 2\ in

A_{right\ rectangle} = 6\ in^2

<u>Step 3:  Determine the total area</u>

A_{total}=A_{left\ rectangle} + A_{right\ rectangle}

A_{total} =  8\ in^2 +  6\ in^2

A_{total} = 14\ in^2

Answer: A_{total} = 14\ in^2

4 0
3 years ago
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What are three equivalent ratios the fourth third
Ghella [55]
Three equivalent ratios are: 8/6, 12/9, 16/12
6 0
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