Answer:
5
Step-by-step explanation:
this can be solved using simultaneous equation
2a + 3b = 19 equation 1
1a + 4b = 17 equation 2
Multiply equation 2 by 2
2a + 8b = 34 equation 3
Subtract equation 1 from 3
5b = 15
b = 3
Substitute for b in equation 1
2a + 3(3) = 19
2a = 9 = 19
2a = 10
a = 5
Answer:
The line would be y = -1/4x + 27/4
Step-by-step explanation:
In order to find this, we first need to note that the original slope is -1/4. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 6 = -1/4(x - 3)
y - 6 = -1/4x + 3/4
y = -1/4x + 27/4
Answer:
Step-by-step explanation:
Please check out the attachments for the solution :)
Answer:
120
Step-by-step explanation:
The prism shown is a triangular prism
The volume of a triangular prism can be found by multiplying the area of the base ( which is a triangle ) by the length of the prism ( which is 10 feet )
First let's find the area of the base.
To find the area of a triangle we use this formula
where b = base length and h = height
The base length is 6ft and the height is 4ft.
Using these dimensions we plug in the values into the formula

So the area of the base is 12ft²
Finally to find the volume we multiply the area of the base by the length of the prism
12 * 10 = 120
Hence, the volume of the prism is 120ft³