9514 1404 393
Answer:
- y -8 = 8/5(x +2)
- y = 8/5x +56/5
- 8x -5y = -56
Step-by-step explanation:
Since you're given a point and slope, it is convenient to start with that form.
<u>Point-slope form</u>
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -8 = 8/5(x +2) . . . point-slope equation
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<u>Slope-intercept form</u>
y = mx + b . . . . . line with slope m and y-intercept b
The above equation can be rearranged to this form.
y = 8/5x +16/5 +8
y = 8/5x +56/5 . . . . . slope-intercept form
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<u>Standard form</u>
ax +by = c
Multiplying by 5 and subtracting the y-term gives the general form equation ...
5y = 8x +56
8x -5y +56 = 0
8x -5y = -56 . . . . . . add -56 to put into standard form
Answer:
A should be the right answer
Step-by-step explanation:
Race track principle says that if two functions are equal at <span>t=0</span>, then the one which has a greater derivative will be greater.
In this case we're comparing <span><span>f′</span>(t)</span> and <span><span>g′</span>(t)</span>. So we make sure that <span>g(0)=<span>f′</span>(0)</span> and that <span><span>f′′</span>(t)≥<span>g′</span>(t)
</span>
<span>g(t)=at+b</span>
Since it is a line.
<span><span>g′</span>(t)=a</span>
<span><span>f′′</span>(t)≥3≥<span>g′</span>(t)⟹3≥a</span>
So let <span>a=3</span>.
<span><span>f′</span>(0)=0=g(0)=3(0)+b⟹b=0
</span>So that means
<span>g(t)=3t
</span>Do something similar for <span>h(t)</span><span> starting with
</span><span>h(t)=a<span>t2</span>+bt+c
</span><span>h(0)=f(0)⟹c=0
</span>
So
<span>h</span><span>(</span><span>t</span><span>)</span><span>=</span><span>a</span><span>t2</span><span>+</span><span>b</span><span>t</span>
<span>He relationship between rectangular and rotational coordinates can be represented by the vector equation:
r = xi +yj = rcos(theta)i+rsin(theta)j
What values in radians makes
x minimum
y maximum
and x = -y
Ans : x minimum = -r when theta = 180 degrees + any multiple of 360 degrees
y minimum = -r when theta = 270 degrees + any multiple of 360 degrees
x = -y when theta = 135 degrees + any multiple of 180 degrees.</span>
So when x = -1, you just substitute the variable x to -1.
"4x" means 4 times x, so when x is replaced to -1, that would be 4 times -1.
f(-1) = 4(-1) = -4
So the value of function at x = -1 would be -4.
Hope this helps.
