I NEED HELP ASAP 30 POINTS - GEOMETRY

2. The general form of a circle is given as x^2 + y^2 + 6x – 14y + 33 = 0
(a) What are the coordinates of the center of the circle? Show all your work.
(b) What is the length of the radius of the circle? Show all your work.
Answer:

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

Answer:

the answer is B: 7.7 inches

Step-by-step explanation:

did the test go 100%

9514 1404 393

Answer:

  22

Step-by-step explanation:

Put -3 where x is and do the arithmetic.

  f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11

  f(-3) = 22

_____

Additional comment

Sometimes evaluation is easier if you rewrite the polynomial in Horner form:

  f(x) = (3x -2)x -11

  f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22

9514 1404 393

Answer:

  17

Step-by-step explanation:

If you number the rows starting with 0 for the row that is 1, then row n has sum 2^n. 131072 = 2^17, is the sum of row 17.

row 0: 1

row 1: 1 1

row 2: 1 2 1

...

row 17: 1 17 136 680 2380 6188 12376 19448 24310 24310 19448 ...

Answer:

B

Step-by-step explanation:

Let me know if you need a detailed explanation.

Hope this helps!

Answer:

x = 18

Step-by-step explanation:

so we know that 128* and (6x+20)* have the same value so

128* = (6x+20)*

lets subtract both sides by 20

108* = 6x*

divide both sides by 6:

108/6 = 18

6x/6 = x

18 = x

Have a nice day!

and please tell me if I am wrong. :-)

Answer:

Margin of error = 4.21 ounces  

Step-by-step explanation:

According to the Question,

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

Answer:

105

Step-by-step explanation:

$40 - $19.95 = $20.05

$20.05 divided by 0.19 (19¢) = 105.526316

Answer:

105 miles

Step-by-step explanation:

40-19.95= 20.05

20.05/.19= 105.5263157895

round down to 105 miles

Answer:

24 and 32

Step-by-step explanation:

Let their present ages be x and y

Therefore, x

[tex] \frac{x}{y} = \frac{3}{4} [/tex]

we have 4x = 3y

4x - 3y = 0......................(I)

After four years,

[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]

we have, 9(x + 4) = 7(y + 4)

9x + 36 = 7y + 28

9x - 7y = -8 ........................(ii)

Solving (I) and (ii) simultaneously

4x - 3y = 0

9x - 7y = -8

multiply eqn I by 9 and equation (ii) by 4 and subtract result

36x - 27y = 0...............(iii)

36x - 28y = -32...........(iv)

subtracting (iv) from (iii) we have,

y = 32

substituting y back in equation (I)

4x - 3y = 0

4x -3(32) = 0

4x - 96 = 0

4x = 96

x = 24

Their ages are 24 and 32

Answer:

2000 ; 6000 ; 3000

Step-by-step explanation:

Given:

Total lottery winning = £11,000

Let :

Zazoo's share = x

Yi's share = 3x

Xavier's share = 3/2x

Total share = (x + 3x + 3/2x) = 5.5x

Total winning / total share

x = £11000 / 5.5

= 2000

Zazoo's share = £2000

Yi's share (2000 * 3) = £6000

Xavier's share = 3/2 * 2000 = £3000

Answer:

Step-by-step explanation:

let the length=x

width=y

P=2(x+y)=128

x+y=128/2=64

y=64-x

area A=xy=x(64-x)=64x-x²

[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]

so A or area is maximum if x=32

y=64-32=32

or it is a square of edge=32 meters.

Answer: 3 I think

Step-by-step explanation:

Answer:

A = 60° , B = 30°

Step-by-step explanation:

[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]

                   [tex]A = 60^\circ[/tex]

[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]

Answer:

x = 4

Step-by-step explanation:

Answer:

$70

Step-by-step explanation:

What we know:

⇒ He must pay 15 dollars a day

⇒ He needs to pay an additional 5 cent for every mile he drives

⇒ He drives 50 miles for 3 days

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Since he pays $15 a day and he is driving this car for 3 days, we have to multiply 15 by 3.

15*3=45

He drove 50 miles and each mile is 5 cents so we have to multiply those as well.

50*.5=25

Now we add both the sums togather~

25+45= $70

∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞The amount he has to spend for his car rental is $275.

Answer:

Chris=24

Jane=32

Shen=96

Step-by-step explanation:

Chris= x

Jane = x + 8

Shen = 4x

6x+8= 152

152-8=144

6x=144

144/6=24

x=24

Answer:

2 non real solutions.

Step-by-step explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²−4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

Answer:

Solution given:

7x²-4x+3=0

taking common 7

7(x²+4/7*x+3/7)=0

x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0

(x+2/7)²=-17/49

x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]

x=±√(17)/7-2/7

taking positive

x=√(17)/7-2/7

x=0.39

taking positive

x=-√(17)/7-2/7

x=-0.87

2:unreal number

h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.

We are given the function h(x) below:

[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]

Substitute x = 5 in the equation.

[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]

Simplify in the simplest form.

[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]

Thus h(5) is 3.

Answer

Hope this helps! Let me know if you have any doubts.

Answer:

Step-by-step explanation:

1. 882/24 = 36.75 or 37 crates of milk

2. 3712 x 6 = 1902 yoghurts were sold

3. 94291 - 63512 = 30779

4. 91429 is greater by (91429-42929) = 48500.

10. 7 hours 55 mins

1 month and 3 days or 33 days.

Next bus would pass at 8:15am

Answer:

A. 12.21

Step-by-step explanation:

Define and explain:

This a right triangle, so the Pythagorean Theorem applies. The Pythagorean Theorem states that the sum of the squared legs is equal to the squared hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side.

Formula:

[tex]a^2+b^2=c^2[/tex]

[tex]a,b-legs[/tex]

[tex]c-legs[/tex]

Here, I am solving for the hypotenuse.

[tex]7^2+10^2=c^2[/tex]

[tex]49+100=c^2[/tex]

[tex]149=c^2[/tex]

The last step is to find the square root of 149.

The square root of 149 is irrational, of course, so I must round the square root to the nearest hundredth.

[tex]12.2065556157[/tex] ≈ [tex]12.21.[/tex]

[tex]12.21=c[/tex]

Conclude:

I, therefore, believe the length of the hypotenuse is 12.21.

Answer:

[tex]x =9[/tex] --- the critical point

Step-by-step explanation:

Given

[tex]f(x) =36x -2x^2[/tex]

Required

Determine the critical numbers

First, we differentiate f(x)

[tex]f'(x) = 36 - 4x[/tex]

Set to 0 and solve for x

[tex]36 -4x = 0[/tex]

Make 4x the subject

[tex]4x = 36[/tex]

Solve for x

[tex]x =36/4[/tex]

[tex]x =9[/tex]

Answer:

Its C. When you are getting ratios, we need to convert the units too...

The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

We have to given that;

The ratio is,

⇒ 5cm:5m:0.02km

Now, We can simplify the ratio as;

⇒ 5 cm : 5 m : 0.02 km

⇒ 5 cm : 5 x 100 cm : 0.02 x 100000

⇒ 5 cm : 500 cm : 2000 cm

⇒ 1 : 100 : 400

Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ2

Answer:

Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture

Answer:

A. 300π units³

Step-by-step explanation:

Formula for volume of a cone = ⅓πr²h

Where,

radius (r) = ½(10) = 5 units

height (h) = 36 units

Plug in the values and find the volume in terms of π

Volume of the cone = ⅓*π*5²*36

Volume of the cone = 300π units³

Step-by-step explanation:

Let the number be n. Then: 2n + 9

Answer:

when n = 2; m = 2 [tex]\frac{4}{5}[/tex]

when m=5;   n = [tex]7\frac{1}{2}[/tex]

Step-by-step explanation:

2n - 5m + 10 = 0

             -10     -10

2n - 5m = -10

2(2) - 5m = -10

 4 - 5m = -10

 -4            -4

      -5m = -14

        -5       -5

           m = 2 [tex]\frac{4}{5}[/tex]

2n - 5(5) = -10

2n - 25 = -10

    +25     +25

2n = 15

2        2

   n = [tex]7\frac{1}{2}[/tex]

Answer:

its 238,535km²

Step-by-step explanation:

i hope it helps alot

What is the area of Ghana?

ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].

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

Answer:

The probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Step-by-step explanation:

Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:

7 - 4 = 3

4/7 x 3/7 x 3/7 x 4/7 = X

0.571 x 0.428 x 0.428 x 0.571 = X

0.0599 = X

Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Answer:

1/3 is the probability for the blue marbal

Answer:

It is TRUE

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles

PLS MARK BRAINLIEST