1:Under what condition will the line px+py+r=0 mat be a normal to the circke x²+y²+2gx+2fy+c=0
2:prove that the two circles x²+y²+2ax+c²=0 and x²+y²+2by+c²=0 touch if
[tex]\frac{1}{a²}+\frac{1}{b²}=\frac{1}{c²}[/tex]​

Answer:

Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19

Step-by-step explanation:

Answer:

The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.  

The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.  

Then the area is

A = (1/2)(8)(42) = 336/2 = 168 in2  

I hope this helped!

Step-by-step explanation:

Mark me as brainlist pleasee

Answer: 1.5 < x < 4

Step-by-step explanation:

9514 1404 393

Answer:

  (-16, -12), (16, -12)

Step-by-step explanation:

The given values (side length and hypotenuse) have the ratio ...

  12 : 20 = 3 : 5

This suggests that the triangle formed by the axes and the point 20 units from the origin is a 3-4-5 triangle, and the remaining side is 16 units from the y-axis. That means the points of interest are ...

  (-16, -12) and (16, -12)

Answer:

spongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

Answer:

|7000 - w| < 1000

Step-by-step explanation:

6000 < w < 8000

Subtract 7000 from the three "sides."

-1000 < w - 7000 < 1000

|w - 7000| < 1000

|7000 - w| < 1000

Answer:

D

Step-by-step explanation:

+1 and -1 change the x postion

Answer:

yes it is

Step-by-step explanation:

it is quadrilateral

Answer:

yes

Step-by-step explanation:

just look up rhombus and then look at the pictures

Answer:

14.4 should be around 14kg

12,9kg should be rounded to 12

Answer:

36

Step-by-step explanation:

You first solve 6x=72 which you divide 72/6 and get the answer x=12. You then replace x with 12 and do the order of operations. 12-3 then 9x4.

Answer:

Multiply using the distributive property.

B.

Please mark brainliest!

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years

Answer:

4.2 = ED

Step-by-step explanation:

Step One

Find FC. That is the only side of the right triangle that you don't know the value of.

Step Two

Step Three

Answer: $240

Step-by-step explanation:

So 60 represents the 1, so multiply 60 by 4

How to take a screenshot on an HP laptop

Press the Windows key and Print Screen at the same time to capture the entire screen. ...

Open an image editing program (Microsoft Paint, GIMP, Photoshop, and PaintShop Pro will all work).

Open a new image and press CTRL + V to paste the screenshot.

Answer:

250 berries

Step-by-step explanation:

berries : oranges

10              1

We have 25 oranges so we need to multiply each side by 25

berries : oranges

10*25          1*25

250               25

There are 250 berries

Answer:

Convenience sampling

Step-by-step explanation:

When sampling is done based in degree of ease or samples picked from observations that are easily accessible rather than prioritizing randomness or selection which will most be representative of the population, then such sampling is called convenience sampling. In some texts, it is also referred to as grab sampling as researchers choose from close, easy to reach samples. In the scenario above, the quality control takes the easy procedure of checking the first and last 10 motorcycles as this is easier than having to take samples at random tune intervals which will be a better representation of the entire motorcycles.

1.05^x = 2

Apply export rule ( logarithm s)

Xln1.05 = ln2

Divide both sides by ln1.05

X = ln2/ln1.05

X = 14.206

Round the answer as needed.

Answer:

540 km

Step-by-step explanation:

You find distance by multiplying rate and time. Rate is 90, and time is 6. 90 x 6 = 540 km

Answer:

y = -⅓x + 7

Step-by-step explanation:

Given the two points that lie on the line (3, 6) and (-3, 8), we can find the equation without the grid by finding the slope (m) and y-intercept (b).

The equation would be written in the form of y = mx + b (slope-intercept form):

✔️Find m:

Slope (m) = change in y/change in x

Slope using (3, 6) and (-3, 8), would be:

Slope (m) = (8 - 6)/(-3 - 3) = 2/-6

m = -⅓

✔️Find b:

Substitute (x, y) = (3, 6) and m = -⅓ into y = mx + b to find b

6 = -⅓(3) + b

6 = -1 + b

6 + 1 = b

b = 7

✅Write the Equation:

Substitute m = -⅓ and b = 7 into y = mx + b

Thus,

y = -⅓x + 7

Step-by-step explanation:

For this question, what we have to do is to rewrite and form some of these statements with their contrapositives

here is the reordering;

1. if Object is at the left of the tree, then it is blue

2. If the object is blue then it smells good.

3. If thus thing smells good then it tastes good.

4. If it tastes good then it is expensive

∴ every object to the left of the tree is expensive

Answer:

66°

Step-by-step explanation:

Given the right angled triangle :

Opposite side = 16

Adjacent side = 7

Using trigonometric relation :

Tan θ = opposite / Adjacent

Tan x = (16/7)

x = tan^-1(16/7)

x = 66.37°

x = 66°

Answer:

B

Step-by-step explanation:

Given the data:

Class A 55 72 75 89 95

Class B 55 70 75 94 100

CLASS A :

Minimum - 55

Lower quartile - 72

Median - 75

Upper quartile - 89

Maximum - 95

CLASS B :

Minimum - 55

Lower quartile - 70

Median - 75

Upper quartile - 94

Maximum - 100

Evaluating the statements given :

The median score of Class A is greater than the median score of Class B.

Median A = 75 ; Median B = 75 (median are equal), hence, A is not true

The lower quartile of Class A is greater than the lower quartile of Class B.

Lower quartile A = 72 ; Lower quartile B = 70 (A is greater than B) , hence, B is true

The upper quartile of Class A is greater than the upper quartile of Class B.

Upper quartile A = 89 ; Upper quartile B = 94 (A is less than B) , hence, statement is not true

The maximum score of Class A is greater than the maximum score of Class B.

Maximum A = 94 ; maximum B = 100 ; A < B ; Hence, statement is not true

Answer:

#1 ((2, 0), (3, 2), (5, 1)) = right isoceles triangle ✔️

#2 ((4, 2), (6, 2), (5, 3.73)) = acute isosceles triangle ❌

so it is not part of graph

#3 ((-5, 2), (-4, 4), (-2, 2)) = Acute scalene triangle ✔️

#4 ((-3, 1), (-3, 4), (-1, 1)) = Right scalene triangle (or right triangle)✔️

#5 ((-4, 2), (-2, 4), (-1, 4)) = Obtuse scalene triangle ✔️

Step-by-step explanation:

the triangles are correct

Answer:

(2,0), B(3,2),C(5,1) is isosceles right angel

(-5,2), B(-4,4), C(-2,2) acute scalene triangle

(-3,1), B(-3,4), C(-1,1) right angel

(-4,2), B9-2,4), C(-1,4) obtuse scalene triangle

Step-by-step explanation:

Answer:

The sample proportion is 0.88.

The margin of error is of 0.04.

The interval likely to contain the true population proportion is (0.84,0.92).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Margin of error:

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Sample of 230 teenagers, 202 would like to have smaller class sizes at their school.

This means that [tex]n = 230[/tex], and that the sample proportion is:

[tex]\pi = \frac{202}{230} = 0.88[/tex]

The sample proportion is 0.88.

Standard 95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.88*0.12}{230}}[/tex]

[tex]M = 0.04[/tex]

The margin of error is of 0.04.

Confidence interval:

Sample proportion plus/minus margin of error. So

0.88 - 0.04 = 0.84

0.88 + 0.04 = 0.92

The interval likely to contain the true population proportion is (0.84,0.92).

Answer:

A. 11

Step-by-step explanation:

EQ is half of EG

so 22/2 = 11

Equation:

x+3x+3x-7=28

Solving:

3x+3x+x=7x

7x-7=28

7x=28+7

7x=35

x=5

Plug 5 into the equations and you’ll get:

First term = 5

Second term = 15

Third term = 8

Answer:

The dimensions for the plot that would enclose the most area are as follows:

Width  = 116.67 ft

Length = 175 ft.

Step-by-step explanation:

Note: Kindly refer to the attached diagram where:

x = Length of the rectangular area

y = Width of the rectangular area.

The fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. This implies that it is $10 per foot. Otherwise, it will be $20 per foot. Since no fencing is needed along the barn, it implies that there is no fence along the northern length.

Since the farmer is not willing to spend more than $7000, we have:

10y + 20x + 20y = 7000

20x + 30y = 7000

Divide through by 20, we have:

x + 1.5y = 350

x = 350 - 1.5y …………………………. (1)

The fenced area is

A = x * y ………………………………….. (2)

Substituting equation (1) into (2), we have:

A = (350 - 1.5y)y

A = 350y - 1.5y^2 ……………. (3)

To maximize A, equation (3) is differentiated with respect to y and equated it to 0 as follows:

That is,

A'(y) = 350 - 3y = 0

Solving for y, we have:

y = 350/3

y = 116.67 ft

Substituting y = 116.67 for y in equation (1), we have:

x = 350 - (1.5 * 116.67)

x = 175ft

Therefore, the dimensions for the plot that would enclose the most area are as follows:

Width  = 116.67 ft

Length = 175 ft.

Answer:

4x2-9

Step-by-step explanation:

it would be that because the number is in the c acis