Find the measurement of Angle M.

Answer:

[tex]y=11x+73[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Plug the slope into [tex]y=mx+b[/tex] (m)

[tex]y=11x+b[/tex]

2) Plug the given point into the equation and solve for b

[tex]y=11x+b\\-4=11(-7)+b\\-4=-77+b[/tex]

Add 77 to both sides to isolate b

[tex]-4+77=-77+b+77\\73=b[/tex]

Plug b back into [tex]y=11x+b[/tex]

[tex]y=11x+73[/tex]

I hope this helps!

Answer: median is two, mean is two, mode is two, range is 13, the data appears to be symmetrical

Step-by-step explanation: hope this helps <3

Answer:

A

Step-by-step explanation:

A

Answer:

63.6cm²

Step-by-step explanation:

Area of square = 81

Side of square = [tex]\sqrt{81}[/tex]

                        = 9

-----------------------------------------

diameter of circle = 9

radius of circle = 9 ÷ 2

                        = 4.5

area of circle = πr²

                      = π (4.5)²

                      = 63.6172512  

                      ≈ 63.6 cm²

Answer:

The correct answer is 0 or A

Step-by-step explanation:

2/0+2 + 1/5 = 6/0+5

2/2 + 1/5 = 6/5

1 + 1/5 = 6/5

5/5 + 1/5 = 6/5

6/5 = 6/5

Answer:

Yes

Step-by-step explanation:

So permiter is two*lengths plus 2*width of a shape.

Area is the length times the width.

For examplel if a square has a length of 2, and a width of 3 the permiteter is:

2*2+3*3=

4+9

=

13

On the other hand, area  would be:

2*3

=

6

I hope this helps!

Answer:

-8 = m-2+b

-2 = m-0+b

4 = m2+b

10 = m4+b

Step-by-step explanation:

You just put them in y = mx+b format

Answer:

the sum of John's score and Kamira's score

Step-by-step explanation:

-5 + 7 = 2

Answer:

Its D

square root of 37 = 6.0

Step-by-step explanation:

Answer:

∠ 3 = 110°

Step-by-step explanation:

The measure of the tangent- chord angle is half the the measure of its intercepted arc.

intercepted arc = 360° - 140° = 220°

∠ 3 = 0.5 × 220° = 110°

The measure of angle 3 is 110 degree.

A line that touches a circle or an ellipse at just one point is said to be tangent in geometry. Assuming a line contacts the curve at P, "P" is referred to be the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve.

We have,

Arc= 140

As, The tangent-chord angle's measurement is equal to half of its intercepted arc's measurement.

So, the intercepted arc

= 360° - 140°

= 220°

Now, <3 = 1/2 × 220° = 110°

Thus, the measure of angle 3 is 110 degree.

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Answer:

20 min

Step-by-step explanation:

To go 1 mile it takes her 10 min (5 = 1/2 multiply both sides by 2) and to get to school it would take her 2 miles, so it would take 10 min.

Answer: ₹2646

Step-by-step explanation:

Given

The volume of the room is [tex]V=270\ m^3[/tex]

cost of painting the walls is ₹[tex]3600[/tex] at the rate of [tex]15\ m^2[/tex]

So, the area of walls is

[tex]\Rightarrow A=\dfrac{3600}{15}\\\\\Rightarrow A=240\ m^2[/tex]

This the area of 4 walls i.e.

[tex]\Rightarrow 240=2[hl+hb]\\\Rightarrow 120=h[l+b]\\\Rightarrow 120=4bh\quad [\text{length is thrice of width}]\\\Rightarrow 30=bh\qua \ldots(i)[/tex]

The volume of the room is given by

[tex]V=l\times b\times h\\270=3b\times b\times h\\90=hb^2\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{90}{30}=\dfrac{b^2h}{bh}\\\\\Rightarrow b=3\ m[/tex]

So, the length of the room is

[tex]l=3b\\l=3\times 3\\l=9\ m[/tex]

The area of the floor is

[tex]\Rightarrow A_o=l\times b\\\Rightarrow A_o=9\times 3\\\Rightarrow A_o=27\ m^2[/tex]

The cost of flooring is

[tex]\Rightarrow 27\times 98\\\Rightarrow Rs.2646[/tex]

Answer:

Step-by-step explanation:

x^2-16y-4x-12=0

Transpose and separate x and y

16y = x^2-4x-12

16y = (x^2-4x+4) -16

16y = (x-2)^2 -16

y = (1/16)(x-2)^2 -1

This means that the vertex is at

(x-2)=0 or x=2

y = -1

=> vertex (2,-1)

Answer:

$449.5

Step-by-step explanation:

Given data

Earning rate=  $15.50 per hour

Number of hours worked = 29 hours

Hence the amount earned is

=15.5*29

= $449.5

Hence the total amount she earned is $449.5

Answer:

11.6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]\sqrt{2} *\sqrt{10}=\sqrt{20} \\\sqrt{20}/\sqrt{5}=\sqrt{4} =2[/tex]

The simplified expression √2 x √10 / √5 is 2.

To simplify the expression √2 x √10 / √5, we can combine the square roots and apply the properties of radicals.

First, let's simplify the numerator, which is √2 * √10.

√2 x √10 = √(2 x 10) = √20

Next, let's simplify the denominator, which is √5.

So, √20 / √5

To rationalize the denominator, we multiply both the numerator and denominator by √5:

= (√20 / √5) x (√5 / √5)

= √(20 x 5) / √(5 x 5)

= √100 / √25

= 10 / 5

= 2

Therefore, the simplified expression is 2.

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Answer:

11. 60

12. 73

Step-by-step explanation:

11. Three solid lines mean all of the angles are the same. this honestly could only be applied to triangles with 60 degrees because each triangle adds up to 180.

12. The angles are the same on each end meaning their both 73. The other end of the triangle is 34.

Answer:

1286 more feet

Step-by-step explanation:

Answer:

FV= PV*(1 + g)^n

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 120

Growth rate (g)= 6.5% per year

To calculate the future value of the population in any given year "n", we need to use the following formula:

FV= PV*(1 + g)^n

For example, in 10 years:

FV= 120*(1.065^10)

FV= 225

Answer:

C

Step-by-step explanation:

C i did the test

The correct rule for the graph shown will be;

⇒ y = 3x

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph is shown in figure.

Two points on the graph are (2, 6) nd (3, 9).

Now,

Solve for the correct rule of the graph as;

Since, The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

So, We find the slope of the line as;

Two points on the graph are (2, 6) and (3, 9).

Hence,

m = (9 - 6) / (3 - 2)

m = 3/1

m = 3

Thus, The equation of line in point-slope form passing through the points (2, 6) and (3, 9).with slope 3 is defined as;

⇒ y - y₁ = m (x - x₁)

⇒ y - 6 = 3 (x - 2)

⇒ y - 6 = 3x - 6

⇒ y = 3x

Thus, The correct rule for the graph shown will be;

⇒ y = 3x

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Answer:

Do you want the derivative?!

Answer:

Step-by-step explanation:

multiplication:  (x-1)  *  (x+3)  *  (x-4)

(x-1) * (x+3)

x^2 + 2x - 3

(x^2 + 2x -3)(x-4)

x^3-2x^2-5x+ 12

finding the zeroes:

(x-1)         (x+3)    (x-4)

x-1:0      x+3:0     x-4:0

+1:1          -3:3     +4: 4

x: 1            x:3        x:4

Step-by-step explanation:

they need to add up to -56

and multiply to 180

Answer:

$6

Step-by-step explanation:

Set up a system of equations where b is the cost of a book and m is the cost of a movie:

9b + 5m = 124

4b + 21m = 318

Solve by elimination by multiplying the top equation by -21 and the bottom equation by 5:

-189b - 105m = -2604

20b + 105m = 1590

Add the equations together, then solve for b:

-169b = -1014

b = 6

So, the cost of a book is $6

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

[tex]2 {}^{x} = 8[/tex]

Take the log.

[tex] log_{2}(8) = 3[/tex]

Answer:

The probability that at least 3 members of the team will be from town b is 0.3485

Step-by-step explanation:

We have to find the probability that at least 3 members of the team will be from town b.

At least means 3 or greater than 3.

There are 4 members.

So we have to choose 3 and 4 members from town b which has 6 members

this can be written in the form

6C3 5C1/ 11C4    ( 4 have to be selected out of 11)

=  20*5/330

=0.30

and

6C4 5C0/ 11C4

= 15*1/330

=0.045

P (x≥3) = 6C3 5C1/ 11C4 + 6C4 5C0/ 11C4

          = 0.30+0.045

               =0.3485 ( rounded)

Answer:

C

Step-by-step explanation:

Answer:

$2,100.00

Step-by-step explanation:

Answer:

600 dollars a year

Step-by-step explanation:

I=prt is the formula for simple interest.

2000×0.05×6 = 600