Answer:
The equation of the line would be y = -1/3x - 4
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
2x + 6y = 10
6y = -2x + 10
y = -1/3x + 5/3
Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -5 = -1/3(x - 3)
y + 5 = -1/3x + 1
y = -1/3x - 4
Answer:
...........................................................
Step-by-step explanation:
Solving expression we get
Step-by-step explanation:
We need to solve the expression:
Solving:
Multiplying 5 with terms inside the bracket:
So, Solving expression we get
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Answer:
V = 408 cm cubed
SA = 558 cm squared
Step-by-step explanation:
To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.
V =1/2 l*w*h =1/2* 6*8*17 = 408
To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.
Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.
Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.
The surface area of the prism is 48 + 510 = 558.