Answer:
592
Step-by-step explanation:
y=mx+b is the equation of a line;
m=slope , b= y-intercept
m=4 ; so we have : y=4x+b
We are give a set of points which it passes through, we can simply plug them in:
-2 = 4(3)+b (3 is the x and -2 is the y)
We get -2 = 12 +b .... -14=b
our final equation is : y=4x-14
Answer:2.47
Step-by-step explanation:
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The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.