2+.5+.01
Two AND fifty one hundredths
Let the number of thirds be x.
(2/5) = x(1/3)
2/5 = x/3
x/3 = 2/5
x = 2/5 * 3
x = 6/5
x = 1.2
Two-fifths equals 1.2 thirds
Tan(x)= sin(x)/cos(x), therefore, substitute sin(x)/cos(x) in the expression:
=(cos(x)(sin(x)/cos(x))-1)/cos^2(x)
simplify the 2 cos(x):
=(sin(x)-1)/cos^2(x)
Sin^2(x)+ cos^2(x)=1, sin^2(x)-1=- cos^2(x), substitute in the expression:
= -cos^2(x)/cos^2(x)= -1
To find the slope use the formula
Y2-Y1
---------
X2-X1
(-1,-4) (1,4)
4- -4 = 8
-------------
1- -1 = 2
8/2=4 This will be your slope
Y=4x
Now we must figure out the y-intercept using the formula
Y-y1=slope(x-x1)
Y- -4= 4(x- -1)
Y+4= 4x + 4 The 4 distributes to the x and -1
Y=4x +4
-4
Y= 4x
This is your answer in slope intercept form.
P.S if you have a number minus a negative number it makes it a positive number
I will solve your system by substitution.<span><span>x=<span>−2</span></span>;<span>y=<span><span><span>23</span>x</span>+3</span></span></span>Step: Solve<span>x=<span>−2</span></span>for x:Step: Substitute<span>−2</span>forxin<span><span>y=<span><span><span>23</span>x</span>+3</span></span>:</span><span>y=<span><span><span>23</span>x</span>+3</span></span><span>y=<span><span><span>23</span><span>(<span>−2</span>)</span></span>+3</span></span><span>y=<span>53</span></span>(Simplify both sides of the equation)
Answer:<span><span>x=<span>−<span><span>2<span> and </span></span>y</span></span></span>=<span>5/3
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so the answer is B (the second choice)
(Hope it helped ^_^)
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