Assistance if you please?

Answer:

[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (-14, -3)

This means that [tex]x_0 = -14, y_0 = -3[/tex]

So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-14))^2 + (y - (-3))^2 = r^2[/tex]

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

Passes through the point (-5,3),

This means that when [tex]x = -5, y = 3[/tex]. We use this to find the radius squared. So

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

[tex](-5 + 14)^2 + (3 + 3)^2 = r^2[/tex]

[tex]r^2 = 117[/tex]

So, the equation of the circle is:

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]

I am going to do this problem with more of an algebraic approach weather or not its the way your teacher wants you to do it like this.

The way to do things algebraically is to just set variables for what you want to find and set up equations to represent each sentence.

As seen there are hamburgers and chickens in this problem. So let's set the numbers of hamburgers to x, and the numbers of chickens to y.

Now write out each sentence using variables.

1.) Tia sold 78 hamburgers and chicken tenders.

x+y=78

2.) If she sold 24 more hamburgers than chicken tenders.

x=y+24

Now that we have the 2 equations, its time to solve.

Since we have x=y+24, we can replace the x in the first equation with the second equation

y+24+y=78

2y+24=78

Now we can subtract 24 from both sides.

2y=54

Simplify

y=27

Solve for x

x=27+24=51

Done!

Answer:

11/20

Step-by-step explanation:

P(even #) = 1/2

P(3) = 1/20

add both probabilities: 10/20 + 1/20 = 11/20

Answer:

300

Step-by-step explanation:

The last line on the box is the upper quartile.

Answer:

300

Step-by-step explanation:

The lower quartile is 100

The median(second quartile) is 250

The 3rd quartile is located on the right which is the next point which is 300.

The third quartile is always comes after the median also known as the second quartile.

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Range is the largest number minus the smallest number. In this case, you would do 20 - 3 and get the answer of 17.

Answer:

resta el valor mínimo del valor máximo para obtener el rango 20-3=17

Answer:

X = 120

Y = 60

.......................

Answer:

x=120

y=60

Step-by-step explanation:

So it states that this is an equilateral triangle which means that all of the angles in this triangle or the same

the sum of all the angles is equal to 180 so to find y we divide 180 by 3

180/3=60

y=60

we notice that its supplementary to the angle that measures 60 and supplementary angles add up to equal 180 so to find x we subtract 60 from 180

180-60=120

x=120

Ok now this one i am 100% confident in my answer

Answer:

c I believe

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature,

Answer:

C

Step-by-step explanation:

i took the same test

Answer:

[tex](a)[/tex]

[tex]x = 18.5[/tex]

[tex]y = 22.5[/tex]

[tex](b)[/tex]

[tex]x = 10[/tex]

Step-by-step explanation:

Solving (a):

7x - 19 and 3x + 14 are interior angles.

So:

[tex]7x - 19 + 3x +14 = 180[/tex]

Collect like terms

[tex]7x + 3x = 180 - 14 + 19[/tex]

[tex]10x = 185[/tex]

[tex]x = 18.5[/tex]

7x - 19 and 5y - 2 are equal angles --- corresponding angles

So:

[tex]5y - 2 = 7x - 19[/tex]

Make 5y the subject

[tex]5y = 7x - 19+2[/tex]

5y  = 7x -17

Make y the subject

[tex]y = \frac{1}{5} (7x - 17)[/tex]

Substitute [tex]x = 18.5[/tex]

[tex]y = \frac{1}{5} (7*18.5 - 17)[/tex]

[tex]y = \frac{1}{5} (112.5)[/tex]

[tex]y = 22.5[/tex]

Solving (b):

The triangle is right-angled.

So:

[tex]5x + 3 + 2x + 17 + 90 = 180[/tex]

Collect Like Terms

[tex]5x + 2x = 180 - 90 - 17-3[/tex]

[tex]7x = 70[/tex]

[tex]x = 10[/tex]

Step-by-step explanation:

8: 4, 2

20: 10, 5

have a good day

Answer:

2/5

Step-by-step explanation:

Hey There!

To simplify this expression we need to find the greatest common factor

Both values can be divided by 4

so the greatest common factor is 4

8/4=2

20/4=5

so the simplified version of the given expression is 2/5

Answer:

A semi-circle

Step-by-step explanation:

Hope this helps!! :)

Answer:

beeebooobeeeeeboooooobeeeeebooooooo

Step-by-step explanation:

option a

Answer:

a

Step-by-step explanation:

I think that right so let me know if It is right

Answer:

its not a for my quiz im pretty sure its x

Step-by-step explanation:

Answer:

D)

[tex](0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })[/tex]

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(0.52846 , 0.75166)

Step-by-step explanation:

Step:-1

Given that the random sample size 'n' = 50

The sample proportion

                       [tex]p^{-} = \frac{32}{50} = 0.64[/tex]

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

[tex](p^{-} - Z_{0.90} \sqrt{\frac{p(1-p)}{n}, } , p^{-} +Z_{0.90} \sqrt{\frac{p(1-p)}{n} })[/tex]

Step(ii):-

Level of significance = 0.90

Z₀.₉₀ = 1.645

[tex](0.64 - 1.645 \sqrt{\frac{0.64(1-0.64)}{50}, } , 0.64 +1.645 \sqrt{\frac{0.64(1-0.64)}{50} })[/tex]

[tex](0.64 - 1.645 \sqrt{\frac{0.64(0.36)}{50}, } , 0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })[/tex]

(0.64 -1.645(0.06788) , (0.64 + 1.645(0.06788)

(0.52846 , 0.75166)

Final answer:-

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(0.52846 , 0.75166)

what is the question?

Answer:

4/5 or .8

Step-by-step explanation:

You do 4 divided by 5 to get the answer for 1 batch which would equal to 8/10

then you would simplify it to be 4/5.

Answer:

10 yards is the answer

Step-by-step explanation:

2(2x+3)+2x=27

6x+6=27

6x=21

×=31/2

31/2×2+3=10

Answer:

Its 10 I checked on the RSM thingy :)

He spent $201.6 on the club altogether

Answer:

33/16 hope this helps

Step-by-step explanation:

Answer:

185 1/16

Step-by-step explanation:

Answer: 2x^2-4x-16

Step-by-step explanation:

Answer:  x^4 - 16

Step-by-step explanation:

Answer

2. 10  10 x 4=40  10+40=50

3. 49  3 x 49=147

Step-by-step explanation: number 1 i'm not sure

Answer:

is this weird but in all my years of school I've never learn something like this

Answer:

0.4 miles

Step-by-step explanation:

kiran will have walked 3 miles while clare 3.4 so 3.4-3=0.4