If you draw this triangle on a graph as described, tan theta is -4(square root)33/33
<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span>
y = 2x<span> 2</span><span> + 8 x + 5 </span>
Complete square and determine vertex.
y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>
= 2(x + 2)<span> 2</span><span> - 3 </span>
<span>vertex at (- 2 , - 3) </span>
If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .
<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
Answer:
8x +6y -28
Step-by-step explanation:
The outside factor applies to each inside term, so the equivalent expression is ...
-8(-x -3/4y +7/2) = 8x +6y -28
Applying the distributive property once again, we can also write the equivalent expression ...
= 2(4x +3y -14)
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There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.
Answer:
x=10, y=-5
Step-by-step explanation:
2x+3y=5, y= 5-x; change y to 5-x:
2x+3(5-x)=5
2x-3x+15=5
-x=5-15
-x=-10
x=10
=>y=5-x=5-10=-5
