First find the area of the triangle at the end.
Area of a triangle is 1/2 x base x height.
The triangle is a right triangle with a base of 4 and height of 3
area = 1/2 x 4 x 3 = 6 square cm
Now to find the volume multiply the area of the triangle by the length of the prism.
volume = 6 square cm x 11 cm = 66 cubic cm.
answer: 66 cm^3
Answer:
3
Step-by-step explanation:
<h2>
Linear Equations</h2>
Linear equations are often organized in slope-intercept form:

- <em>m</em> = slope
- <em>b</em> = y-intercept (the value of y when x=0)
<h3>
Parallel Lines</h3>
Parallel lines always have the same slopes and different y-intercepts.
<h2>Solving the Question</h2>
We're given:
- The line

- We must solve for a parallel line that passes through (0,2)
Firstly, rearrange the given line in slope-intercept form:

Remember, parallel lines always have the same slope. Therefore, our parallel line would look like this, with a (currently) unknown y-intercept (<em>b</em>):

We're given that the line passes through the point (0,2). Because the y-intercept occurs when x=0, we now know that the y-intercept of the line is 2. Plug this into the equation:

<h2>Answer</h2>

Answer:
25
Step-by-step explanation:
Eliminate 'y' by equating
<span>8x - 40 = x^2 - 2x - 15 </span>
<span>x^2 - 2x - 8x - 15 + 40 = 0 </span>
<span>x^2 - 10x + 25 = 0 </span>
<span>(x - 5)(x - 5) = 0 </span>
<span>(x - 5)^2 </span>
<span>Hence x = 5 is the only solution for 'x'. </span>
<span>Substitute in to the linear eq;n for 'y' </span>
<span>y = 8(5) - 40 </span>
<span>y = 40 - 40 </span>
<span>y = 0 </span>
<span>Hence the solution in ( x,y) form is ( 5,0).
Shoutout to @lenpol7
Have an amazing day and stay hopeful!
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