The perimeter of the classroom shown is 6x + 3. Find the length of the missing side.

Answer:

[tex](x+1)^2+(y+4)^2=97[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle centered at (h,k):

[tex](x-h)^2+(y-k)^2=r^2[/tex] where r is the radius

1) Plug in the center

[tex](x-(-1))^2+(y-(-4))^2=r^2\\(x+1)^2+(y+4)^2=r^2[/tex]

2) Plug in the given point and solve for r²

[tex](x+1)^2+(y+4)^2=r^2[/tex]

Plug in (-5,5)

[tex](-5+1)^2+(5+4)^2=r^2\\(-4)^2+(9)^2=r^2\\16+81=r^2\\r^2=97[/tex]

3) Plug r² back into the equation

[tex](x+1)^2+(y+4)^2=r^2\\(x+1)^2+(y+4)^2=97[/tex]

I hope this helps!

Answer:

20

Step-by-step explanation:

Answer:

20 is the answer

Step-by-step explanation:

Answer:

44.402

Step-by-step explanation:

Equation

SA = 2L*W + 2L*H + 2*WH

Givens

L = 2.7

W=1.13

H = 5

Solution

LW = 2.7 * 1.13  = 3.051

LH = 2.7 * 5  =    13.5

WH = 1.13 * 5  =  5.65

SA = 2*3.051 + 2*13.5 + 2*5.65

SA = 6.102 + 27 + 11.3

SA = 44.402

Answer:

Option D: 1.50

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

To find the graph of the quadratic function, we find it's zeros.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

f(x) = x² - 4x + 3​

This means that [tex]a = 1, b = -4, c = 3[/tex]

So

[tex]\Delta = b^{2} - 4ac = (-4)^2 - 4(1)(3) = 16 - 12 = 4[/tex]

[tex]x_{1} = \frac{-(-4) + \sqrt{4}}{2} = 3[/tex]

[tex]x_{2} = \frac{-(-4) - \sqrt{4}}{2} = 1[/tex]

Zeros at x = 1 and x = 3, that is, it crosses the x-axis at this values, so the graph is given by option 1.

Answer:

150 stamps

Step-by-step explanation:

100% - 25% = 75%

[tex]\frac{y}{450} :\frac{25}{75}[/tex]

y × 75 = 25 × 450

75y = 11250

75y ÷ 75 = 11250 ÷ 75

y = 150

Answer:

Solution given:

perpendicular [P]=x

base[B]=9

hypotenuse [H]=41

Now.

By using Pythagoras law

H²=P²+B²

41²=x²+9²

x²=41²-9²

x=[tex]\sqrt{1600}=40[/tex]

x=40 is a required answer.

Answer:

Step-by-step explanation:

In a parallelogram, opposite angles are equal.

∠G = ∠E

5x - 9 = 3x + 11

Add 9 to both sides

5x = 3x + 11 + 9

5x = 3x + 20

Subtract 3x from both sides

5x-  3x = 20

2x = 20

Divide both sides by 2

x = 10

∠G = 5x - 9

     = 5*10 - 9

     = 50 - 9

∠G = 41°

∠G = ∠E = 41°

In parallelogram, adjacent angles are supplementary.

∠G + ∠D = 180

41 + ∠D = 180

     ∠D = 180 - 41

   ∠D = 139

∠D = ∠F = 139°

Answer:

Gary spends a total of $166.05

Step-by-step explanation:

15% tip: would be 15% of 135, so 0.15 times 135, which would be $20.25 for the tip before tax

8% tax: would be 8% of 135, so 0.08 times 135, which would be $10.8

Then we add $20.25+$10.8+$135= $166.05

Hope I helped, please correct me anywhere you think I may have messed up if I did make mistakes.

Answer:

3.8

Step-by-step explanation:

We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.

Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8

Answer:

±3/5

Step-by-step explanation:

±sqrt(9/25)

We can separate this into

± sqrt(9) / sqrt(25)

Since these are perfect squares

±3/5

Answer:

The answer is C

Answer:

y represents the pages, while x represents the minutes. for every y, there is 9/10 x, therefore the equation is y=9/10x

[tex]\sf\purple{No, \:Sara\: is \:wrong.}[/tex]

[tex]2x + 3≠ \frac{x}{2} + \frac{3}{4} [/tex]

[tex]\sf\red{Here's\:why:}[/tex]

[tex]L. H. S. = 2x + 3[/tex]

[tex]R. H. S = \frac{x}{2} + \frac{3}{4} \\ = \frac{x \times 2}{2 \times 2} + \frac{ 3}{4} \\ = \frac{2x + 3}{4} [/tex]

Clearly,

[tex]2x + 3≠ \frac{2x + 3}{4} \\✒ \: L.H.S.\:≠\:R. H. S. [/tex]

[tex]\boxed{Therefore,\:the\:two\:expressions \:are\:not\:equivalent.}[/tex]

To make them equivalent, Sara can simply divide L. H. S. by 4.

By doing so, she'll have

[tex] \frac{2x + 3}{4} = \frac{2x + 3}{4} \\ ๛L.H.S.=R. H. S[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

3 peers

Step-by-step explanation:

Answer:

Three? Is it three?

Step-by-step explanation:

How should I answer?

Evaluate Using the Given Value

Simplify the Matrix

Solve the Function Operation

Evaluate the Function

Graph

Find the Derivative - d/dc

Solve Using the Square Root Property

Find the Equation Using Point-Slope Formula

More...

will edit and give answer just don't know what you are asking  comment down  below what you need help on. Happy to help :)

Answer:

The possible solutions are -4 and -12

Step-by-step explanation:

(C+8)^2=16

Take the square root of each side

sqrt((C+8)^2)=sqrt(16)

C+8 = ±4

C+8 = 4     C+8 = -4

Subtract 8 from each side

C+8-8 = 4-8   C+8-8 = -4-8

C = -4               C = -12

The possible solutions are -4 and -12

Answer:

the square root of 20 is 4.472135955

Step-by-step explanation:

Answer:

a) 0.064

b) 0.002

Step-by-step explanation:

a) Assuming that  the batteries' voltage levels are independent

Probability = 0.8 * 0.8 = 0.64

b) batteries' voltage levels are dependent

20/19 (0.064)^19 *0.036  + 20/20 (0.064)^20 *0.036^0

= 0.002

Answer:

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 3

Interval Notation: ( −∞, 3)

Answer:

30.5 ; 49 ; 27 ; 50 ; 45

Step-by-step explanation:

Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile

Given the ordered data :

13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82

Sample size, n = 30

The first quartile ;Q1

Q1 = 1/4(n+1)th term

Q1 = 31/4 = 7.75th term

Q1 = (29+32)/2

Q1 = 30.5

Q3 ;

Q3 = 3/4(n+1)th term

Q3 = 3(31)/4 = 23.25 th term

Q3 = (48 + 50) /2 = 49

2nd decile :

0.2 * (nth term

0.2 * 30 = 6th term = 27

8th decile :

0.8 * 30 = 24 th term

= 50

67th percentile :

0.67 * (n+1)th term

0.67 * 31 = 20.77

= (44 + 46) / 2

= 45

Answer:

thanks for the points and sorry i dont under stand

Step-by-step explanation:

Answer:

k+1/2 =4

subtract 1/2 from both sides

= k = 3.5 or 3 1/2

Answer:3.5

Step-by-step explanation:

Answer:

A) 0.0359

B) 0.0829

Step-by-step explanation:

A) Using normalcdf on your calculator, or using something online, you can plug (-1000, 23.4, 36, 7) to represent the lower bound, upper bound, mean, and standard deviation respectively. The probability that daily production is less than 23.4 liters is 0.0359

B) Similarly, we can plug (45.7, 1000, 36, 7) in as the upper bound is infinity, and the lower bound if 45.7. Our answer is then 0.0829

Answer:

288 cubic cm

Step-by-step explanation:

Volume of the pyramid = 1/3 * base area * height

Base area = 12 * 12

Base area - 144 sq. cm

Height = 6cm

Volume of the pyramid = 144 * 6/3

Volume of the pyramid = 144 * 2

Volume of the pyramid  = 288 cubic cm

Answer:

No.

Step-by-step explanation:

5x represents the product of 5 and an unknown number (x).

5x can also be written as 5 * x.

x + 5 represents the sum of 5 and an unknown number (x).

Hope this helps.

Answer:

Step-by-step explanation:

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