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3 years ago

6.55743... is an irrational number because it is an

Mathematics

1 answer:

devlian [24]3 years ago

5 0

Answer:

#3. a non-terminating and non-repeating

Step-by-step explanation:

6.55743... never ends and it never repeats either

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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

The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste and 2460 dollars for 135 kg of waste. (a)

Ulleksa [173]

Answer:

$C=18w+30$

Step-by-step explanation:

We are given that The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste

So, $(x_1,y_1)=(100,1830)$

We are also given that The monthly charge for a waste collection service is 2460 dollars for 135 kg of waste.

So, $(x_2,y_2)=(135,2460)$

We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute the values

$y-1830=\frac{2460-1830}{135-100}(x-100)$

$y-1830=18(x-100)$

$y-1830=18x-1800$

$y=18x-1800+1830$

$y=18x+30$

y denotes the cost

x denotes the weight

So, Replace y with C and x with w

$C=18w+30$

So, a linear model for the cost, C, of waste collection as a function of the number of kilograms, w is $C=18w+30$

7 0

3 years ago

Please explain this answer ☹️

GuDViN [60]

Answer:

see explanation

Step-by-step explanation:

Note that cos315° = cos45° and sin315° = - sin45° and

cos45° = sin45° = $\frac{1}{\sqrt{2} }$ = $\frac{\sqrt{2} }{2}$

Hence

12(cos315° + isin315°)

= 12(cos45° - isin45°)

= 12( $\frac{\sqrt{2} }{2}$ - i $\frac{\sqrt{2} }{2}$ )

= 6 $\sqrt{2}$ - 6i $\sqrt{2}$

7 0

3 years ago

a dragonfly can beat its wings 30 times per seconed.write an equation in slope intercept from that shows the relationship betwee

Andreas93 [3]

Answer:

$s=30f$

Step-by-step explanation:

S = second; F = flying time.

Since it can flap its wings 30 times, each second, we have already found our answer. The relationship between flying time (Wing flaps) and seconds is 30. In other words, it beats it's wings 30 times each second. Which is what the question asks.

Now we just have to write the equation:

$s=30f$

This is because the seconds are <u>dependent</u> on the flap of wings, so s would be the y value.

Hope it Helps!

4 0

3 years ago

5•11+5•(-4)=5(11-4) wich property?

ludmilkaskok [199]

Answer:

Step-by-step explanation:

3 0

3 years ago