Answer:
x = 15
Step-by-step explanation:
We know that 4x° + 8x° make a straight angle of 180°.
4x° + 8x° = 180°
12x° = 180°
12x = 180
x = 180/12 = 15
The tangent line to <em>y</em> = <em>f(x)</em> at a point (<em>a</em>, <em>f(a)</em> ) has slope d<em>y</em>/d<em>x</em> at <em>x</em> = <em>a</em>. So first compute the derivative:
<em>y</em> = <em>x</em>² - 9<em>x</em> → d<em>y</em>/d<em>x</em> = 2<em>x</em> - 9
When <em>x</em> = 4, the function takes on a value of
<em>y</em> = 4² - 9•4 = -20
and the derivative is
d<em>y</em>/d<em>x</em> (4) = 2•4 - 9 = -1
Then use the point-slope formula to get the equation of the tangent line:
<em>y</em> - (-20) = -1 (<em>x</em> - 4)
<em>y</em> + 20 = -<em>x</em> + 4
<em>y</em> = -<em>x</em> - 24
The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is
<em>y</em> - (-20) = 1 (<em>x</em> - 4)
<em>y</em> + 20 = <em>x</em> - 4
<em>y</em> = <em>x</em> - 24
No, because
60/3 = 20
90/6= 15
Both of the answers aren’t equivalent.
Answer:
add 5 then multiply by 1/2
Step-by-step explanation:
Twice a number is 2n.
The difference of twice a number and five 2n - 5.
The difference of twice a number and five is three. 2n - 5 = 3
2n - 5 = 3
2n - 5 + 5 = 3 + 5 (1) add 5
2n = 8
1/2*2n = 1/2*8 (2) multiply by 1/2
n = 4
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