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3 years ago

If the diameter of a circle changes from 18 cm to 6 cm, how will the circumference change?

1 answer:

6 0

We know that

the length of a circumference=2*pi*r
for D1=18 cm--------------> r1=9cm
L1=2pi*9-------> 18pi cm

for D2=6 cm-----------> r2=3 cm
L2=2pi*3-------> 6pi cm

L2/L1----------> (6pi)/(18pi)---->1/3

the answer is the option A) multiplies by 1/3

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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lina2011 [118]

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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Kitty [74]

Answer: (-2, 5) and (2, -3)

<u>Step-by-step explanation:</u>

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

y - intercept = (0, 1) 2nd point = ( -1, 1).

Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

$y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\$

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<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)

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3 years ago

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timama [110]

Answer:

Step-by-step explanation:

$f^{-1}(x)$ means the inverse. The inverse is the function reflected over the y=x line. This means the values have been reversed. (x,y)-->(y,x). We are looking for a point that has reversed values from the table.

The table has (1.-5) so the inverse is (-5,1) or D.

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3 years ago