Which point lies on the line with point-slope equation y

Help with inequalities

max2010maxim [7]

Answer:

$2(b - 9) \geqslant 26$

Step-by-step explanation:

difference of a number and 9 means to subtract

$b - 9$

twice that means multiply by 2

$2(b - 9)$

at least is greater than or equal to

$2(b - 9) \geqslant 26$

8 0

3 years ago

Pleaseee helppp with thissss asapppp

Natasha2012 [34]

As we know that the standard equation of circle is ${\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}$ , where r is the radius of circle and centre at (h,k) 

Now , as the circle passes through (2,9) so it must satisfy the above equation after putting the values of h and k respectively

${:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}$

${:\implies \quad \sf (3)^{2}+(4)^{2}=r^{2}}$

${:\implies \quad \sf 9+16=r^{2}}$

After raising ½ power to both sides , we will get r = +5 , -5 , but as radius can never be -ve . So r = +5 

Now , putting values in our standard equation ;

${:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}$

${:\implies \quad \bf \therefore \quad \underline{\underline{(x+1)^{2}+(y-5)^{2}=25}}}$

This is the required equation of Circle

Refer to the attachment as well !

8 0

2 years ago

There are seven cats in my neighborhood, with an average of $41$ whiskers each. If one of the cats has $17$ whiskers, how many w

harkovskaia [24]

Answer:

Each of the other cats have 45 whiskers on average.

Step-by-step explanation:

Let x represent the average number of whisker of each cat.

We have been given that there are 7 cats in my neighborhood, with an average of 41 whiskers each.

The total number of whiskers of six cats would be $6x$ .

Since one of the cats has 17 whiskers, so the total number of whiskers of 7 cats would be $6x+17$

We will use average formula to solve our given problem.

$\text{Average}=\frac{\text{Sum of data points}}{\text{Number of data points}}$

Upon substituting our given values, we will get:

$41=\frac{6x+17}{7}$

Let us solve for x.

$41*7=\frac{6x+17}{7}*7$

$287=6x+17$

$287-17=6x+17-17$

$270=6x$

Switch sides:

$6x=270$

$\frac{6x}{6}=\frac{270}{6}$

$x=45$

Therefore, the each of the other cats have 45 whiskers on average.

8 0

3 years ago

M∠A = 75 + 5x

Firlakuza [10]

Answer:

See below

Step-by-step explanation:

For a parallelogram m < A = m < C so:-

75 + 5x = 87 + 3x

2x = 12

x = 6

and m< A = 75 + 30 = 105

and m < C = 87 + 18 = 105

Now if the other 2 angles are = 75 degrees( that is the same side angles add up to 180 degrees) we have proved that it is a parallelogram.

m < B = m < D

111 - 6x = 39 + 6x

-12x = -72

x = 6

m < B = 111 - 36 = 75 and m < D = 39 + 36 = 75

So this has been proved.

6 0

3 years ago

If someone sleeps 8 hours a day for 75 years how many hours did that person sleep in his lifetime?

ra1l [238]

The person sleeps 8 hours a day.

There are 365 days in a year and 366 days in a leap year.

A leap year occurs every 4 years.

If we divide 75 by 4, we get 18.75. This number represents how many leap years occurred in 75 years. So, the person experienced approximately 19 leap years.

19 leap years has 6954 days.

The other 56 years, which have 365 days each year, have a total of 20,440 days.

That's a total of 27,394 days.

27,394 × 8 = 219,152 hours

This is approximately 24 years or 9,131 days.

7 0

4 years ago

Which point lies on the line with point-slope equation y - 2 = 5(x-6)