find 3 rational numbers between 1/3 and 1/2​

let h=-12, k=-11 then

(x-h)^2 + (y-k)^2= r^2

(x+12)^2 + (y+11)^2 = 7^2

x^2 + 24x + 144 + y^2 + 22y + 121 = 49

x^2 + y^2 + 24x + 22y + 144+121-49= 0

x^2 + y^2 + 24x + 22y + 216 = 0 is the required eq

Answer:

C and D

Step-by-step explanation:

So basically when u square -5 or +5, u get 25 either way

And since the square root of x is greater than or equal to 25, u can use both of them for answers.

Answer:

6

Step-by-step explanation:

3/4 * 8 is really easy but.....

you multiply the 3/4 * 8/1 (numerators and denominators) 3*8/4*1 = 24/4 = 6.

Answer:

6

Step-by-step explanation:

First you have to set it up 3/4 * 8/1

then you multiply the numerator and denominator to get 24/4 divide 24 by 4 to get 6, your final answer.

The solution of system of equations is (5, 10)

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=2x ...(1)

y=x+5...(2)

Let us plug in equation 2 in equation 1

x+5=2x

Subtract x from both sides

x=5

Now plug in x value in equation 1

y=2×5

y=10

Hence, the solution of system of equations is (5, 10)

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Answer:

Step-by-step explanation:

the last answer looks good

Answer:

18 nickels, 9 dimes, 6 quarters.

Step-by-step explanation:

Basically, I just made a money table and used it to get my equation, which is: 60x-30=330, to get how many quarters there are. Then, plug that in to the problem and you have your answer.

Answer:

7. n (Division sign) -5+1<7 = n<11   8. n (division sign) 3-2>-12= n>11      9. -2 x n-6>-18= n>-10

Step-by-step explanation:

I think this is right

Answer:

- 15

Step-by-step explanation:

5 * -3 = -15

Answer:

The swimmer must move in the direction 338.2°

Step-by-step explanation:

Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular,  the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.

The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph

So, θ = tan⁻¹(-1.2 mph/+ 3mph)

θ = tan⁻¹(-1.2/3)

θ = tan⁻¹(-0.4)

θ = -21.8°

θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)

θ = 338.2°

So, the swimmer must move in the direction 338.2°.

Answer:

14.4 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Hypothenus = 36 m

Height of building (H) = 33 m

Length of shadow (L) =?

The length of the shadow can be obtained as follow:

Hypothenus² = H² + L²

36² = 33² + L²

1296 = 1089 + L²

Collect like terms

1296 – 1089 = L²

207 = L²

Take the square root of both side

L = √207

L = 14.4 m

Therefore, the length of the shadow is 14.4 m

Answer:

Step-by-step explanation:

Answer:

wefwdwddwd

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

There are 180 degrees in a triangle

4. 38+38= 76 degrees

180-76=104

Isosceles, Obtuse

5. 65+ x+x=65

Well we know one of the x

It is 90 degrees because it is a right angle

65+90=155

180-155=25

Scalene, Right triangle

6. 71+45= 116

180-116=64

7.  Scalene, acute

8. 126+22=148

180-148=32

Scalene, Obtuse

9. 50+90=140

180-140=40

Right angle,  Scalene

Please let me know if i got anything wrong

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The quadratic expands to ...

  (2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1

The coefficients can be factored out of the sum, so ...

  ∑(4n²) = 4∑n² for example

The sum of 60 ones is 60:

  [tex]\displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60[/tex]

So, the sum can be written as ...

  [tex]\displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}[/tex]

_____

It appears that the key to choosing the correct answers is paying attention to signs.

Answer: Step number 2 is 287,980

Step-by-step explanation:

Just did the assignment.

Answer:

b = 737

Step-by-step explanation:

b - 326 = 411

  + 326 +326

b = 737

Answer:

b = 411 - 326

b = 85

I hope this will be helpful

Answer:

its D

Step-by-step explanation:

Answer:

E and F

Step-by-step explanation:

So, our inequalityis that the square root of x is eithr greater than or equal to 25.

Lets think of this as a equation, and try solving for x:

[tex]\sqrt{x} \geq 25[/tex]

Lets square both sides to get x normal:

[tex]x\geq 625[/tex]

Now, x must either be greater than or equal to this value.

Lets look at the answers:

125

-625

-5

5

700

625

Well, most these answers are below the 625.

However, some of these values look like they may be right:

-625

700

625

So, -625 cannot be it. Although it seems to be equal to to 625 above, its negative. This means its much smaller than it

We also have 625 and 700

700 is greater than 625, so that has to be an answer.

Remember that its greater than or equal to.

625 is equal to 625, so this is an answer as well.

Answers:

625 and 700

Hope this helps! Sorry that you could not get a real answer until now :(

Answer:

Part a

Predictor variable -  age of drivers

Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers

Part b

Predictor variable -  Number of family members

Outcome variable - weekly grocery bill

Step-by-step explanation:

Part a)

Predictor variable is basically independent variable whose influence is studied on the  dependent variable or the outcome variable

Predictor variable -  age of drivers

Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers

Part b

Predictor variable -  Number of family members

Outcome variable - weekly grocery bill

Answer:

Simple use tangent, which is equal to opposite divided by adjacent, so tan34=x/16, so multiply both sides by 16 to get x=10.79213627

Step-by-step explanation:

Answer: The vertical line on a graph representing the vertical coordinate points.

Answer:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

the answer is 35 because a straight line is 170° and 135+35 is 170

Answer: = 6

Step-by-step explanation: Hope this help :D

Answer:

C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97

Step-by-step explanation:

The given data is  

                                          x`             Std. Dev      

R. disagrees                  4.16       0.854        

P. disagrees                 3.82       0.967        

From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854

while

the P. disagrees has a mean of 3.82 and standard deviation of 0.967.

Same figures are given only in option C because

Rounding 0.854 gives 0.85

Rounding 0.967 gives 0.97

So only option C is the best choice.

C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden