The surface area of the triangular prism is of 140 cm².
<h3>What is the surface area of a prism?</h3>
It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:
- One rectangle of dimensions 8 cm and 6 + 4 + 5 = 15 cm.
- Two right triangles with sides 4 cm and 5 cm.
For a rectangle, the area is given by the multiplication of the dimensions, hence:
Ar = 8 x 15 = 120 cm²
For each right triangle, the area is given by half the multiplication of the sides, hence:
At = 2 x 0.5 x 4 x 5 = 20 cm².
Then the surface area of the prism is:
S = 120 cm² + 20 cm² = 140 cm².
More can be learned about surface area at brainly.com/question/28123954
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Solution

For this case we can take square root in both sides and we have:
![3x-5=\pm\sqrt[]{19}](https://tex.z-dn.net/?f=3x-5%3D%5Cpm%5Csqrt%5B%5D%7B19%7D)
And solving for x we got:
![x=\frac{5\pm\sqrt[]{19}}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm%5Csqrt%5B%5D%7B19%7D%7D%7B3%7D)
then the solutions for this case are:
B and E
40%=0.4
0.4+1=1.4
4.5(1.4)=6.3
The answer is $6.30
<u>Answer:</u>
Standard form of a line passing through (-2, 4) and having slope of -1/7 is x + 7y = 26
<u>Solution:</u>
Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7
Standard form of line passing through point ( a , b ) and having slope m is given by
(y – b) = m ( x – a) --------(1)
In our case given point is ( -2 , 4 ) and slope is -1/7 that means
a = -2 , b = 4 , m = -(1/7)
On substituting given value of a , b and m is equation (1) we get


=> 7( y - 4 ) = -x – 2
=> 7y + x = -2 + 28
=> x + 7y = 26
Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26