We look for constants <em>a</em> and <em>b</em> such that
Rewrite all terms with a common denominator and set the numerators equal:
Then
<em>a</em> + 2<em>b</em> = 7
-2<em>a</em> - <em>b</em> = -8
Solve for <em>a</em> and <em>b</em>. Using elimination: multiply the first equation by 2 and add it to the second equation:
2 (<em>a</em> + 2<em>b</em>) + (-2<em>a</em> - <em>b</em>) = 2(7) + (-8)
2<em>a</em> + 4<em>b</em> - 2<em>a</em> - <em>b</em> = 14 - 8
3<em>b</em> = 6
<em>b</em> = 2
Then
<em>a</em> + 2(2) = 7 ==> <em>a</em> = 3
and so
Answer:
E < F < G
Step-by-step explanation:
hope this helps
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
You don't use it usually because teachers usually say use 3.14 as an approximation
Answer:
the area is the triangle is 37.5
Step-by-step explanation:
area = 1/2 base*height
