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3 years ago

Is 0.444444444444444... a rational number? explain

Mathematics

1 answer:

ehidna [41]3 years ago

4 0

No, it is an irrational number. It repeats

No, it is an irrational number because it does not terminate/end

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CD is perpendicular to AB and passes through point C5, 12).

Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD $mCD = -\frac{1}{mAB}$

Hence we start from determining slope of AB

slope is given as

$m= \frac{y_2-y_1}{x_2-x_1}$

$m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1$

Hence $mAB=1$

There fore $mCD=-1$

(∵ Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

$m=\frac{y-y_1}{x-x_1}$

$-1=\frac{y-12}{x-5}$

$-x+5=y-12$

$y=-x+17$

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

$0=-x+17$

$x=17$

Hence the x intercept is 17

8 0

3 years ago

Solve for a 4(a+2) = 8+40

vova2212 [387]

Answer:

Step-by-step explanation:

Do 40+8 first which is 48. then you think "what times four is 48" which is 12. so you need to add something to 2 to make 12. which is 10. A=10 :)

3 0

3 years ago

Read 2 more answers

Which statement describes the graph of f(x) = -4x3 - 28x2 - 32x + 64?

Anastasy [175]

Answer:

D=The graph touches at the x-axis at x=-4 and crosses the x-axis at x=1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is give

Andre45 [30]

Answer:

Growth
22%

Step-by-step explanation:

Given function:

$P(t) = 400(1.22)^{t}$

Initial population size is when t = 0

P(0) = 400(1.22)⁰ = 400(1) = 400

The multiple of 1.22 is applied every year, so the ratio of change is:

1.22 = 122% = 100% + 22%

This is an exponential growth which represents 22% annual growth.

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3 years ago

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3 years ago