The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

2 answers:

8 0

1.4n + 2 = 2n + 3.2
substitute the solution n = -2 into the equation

 1.4n + 2 = 2n + 3.2
 1.4(-2) + 2 = 2(-2) + 3.2
-2.8 + 2 = -4 + 3.2
-0.8 = - 0.8

n = -2 makes the equation becomes true
so
Yes, n = -2 is the solution of the equation

QveST [7]4 years ago

7 0

1.4n + 2 = 2n + 3.2

substitute the solution n = -2 into the equation

1.4n + 2 = 2n + 3.2

1.4(-2) + 2 = 2(-2) + 3.2

-2.8 + 2 = -4 + 3.2

-0.8 = - 0.8

n = -2 makes the equation becomes true

Yes, n = -2 is the solution of the equation

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In ΔUVW, w = 44 cm, u = 83 cm and ∠V=141°. Find the area of ΔUVW, to the nearest square centimeter.

Tema [17]

Answer:

$Area \approx 1149\ cm^2$

Step-by-step explanation:

Given that:

ΔUVW,

Side w = 44 cm, (It is the side opposite to $\angle W$ )

Side u = 83 cm (It is the side opposite to $\angle U$ )

and ∠V=141°

Please refer to the attached image with labeling of the triangle with the dimensions given.

Area of a triangle with two sides given and angle between the two sides can be formulated as:

$A = \dfrac{1}{2}\times a\times b\times sinC$

Where a and b are the two sides and

$\angle C$ is the angle between the sides a and b

Here we have a = w = 44cm

b = u = 44cm

and ∠C= ∠V=141

Putting the values to find the area:

$A = \dfrac{1}{2}\times 44\times 83\times sin141\\\Rightarrow A = \dfrac{1}{2} \times 3652 \times sin141\\\Rightarrow A =1826 \times 0.629\\\Rightarrow A \approx 1149\ cm^2$