Answer:
Are you missing part of question or maybe options
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
Answer:
<h3>16a + 20</h3>
Step-by-step explanation:
4(4a + 5) <em>use distributive property</em>
= (4)(4a) + (4)(5) = 16a + 20
60% = 0.6 = 3/5
25.5% = 0.255 = 51/200
90% = 0.9 = 9/10
33 1/3 = 0.3333 =
62.5% = 0.625 = 5/8
7.5% = 0.07 = 7/100
Answer:
yes
Step-by-step explanation:
6:3 and 8:4
6:3
Divide by 3
6/3: 3/3
2:1
8:4
Divide by 4
8/4: 4/4
2:1
They are the same so they form a proportion
