Answer:
x = 11.4
Step-by-step explanation:
14.12 = 
( 3.6x - 12.8 )
Rewrite so that the equation is entirely in decimals;
14.12 = 0.5( 3.6x - 12.8 )
Distribute;
14.12 = 1.8x - 6.4
Inverse operations;
14.12 = 1.8x - 6.4
+6.4 +6.4
20.52 = 1.8x
/1.8 /1.8
11.4 = x
Answer:
<em>0.6 ÷ 0.3 - Option 2.</em>
<em>0.2 × 0.9 - Option 3.</em>
2x X 54 is going to be 108x
since both are positive you will get a positive #
54 X 2 is 108
Let's work on the left side first. And remember that
the<u> tangent</u> is the same as <u>sin/cos</u>.
sin(a) cos(a) tan(a)
Substitute for the tangent:
[ sin(a) cos(a) ] [ sin(a)/cos(a) ]
Cancel the cos(a) from the top and bottom, and you're left with
[ sin(a) ] . . . . . [ sin(a) ] which is [ <u>sin²(a)</u> ] That's the <u>left side</u>.
Now, work on the right side:
[ 1 - cos(a) ] [ 1 + cos(a) ]
Multiply that all out, using FOIL:
[ 1 + cos(a) - cos(a) - cos²(a) ]
= [ <u>1 - cos²(a)</u> ] That's the <u>right side</u>.
Do you remember that for any angle, sin²(b) + cos²(b) = 1 ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.
So, on the <u>right side</u>, you could write [ <u>sin²(a)</u> ] .
Now look back about 9 lines, and compare that to the result we got for the <u>left side</u> .
They look quite similar. In fact, they're identical. And so the identity is proven.
Whew !
Answer:
y=-4x+5
Step-by-step explanation:
the line goes down 4 for every 1 that x changes. the line crosses the y axis at 5.
(this might not be accurate, I can't really see if the line is on the exact point or not)
