A rectangular playground is 8 meters wide. It is 3 times as long as it is wide. What is the area of the playground?​

You have the right idea so far, but you forgot to finish it up.

Point slope form is

y - y1 = m(x - x1)

where m is the slope, and (x1,y1) is the point the line goes through. As you can see, we have infinitely many choices for (x1,y1). If you use the y intercept point (0,5), then

y - y1 = m(x - x1)

y - 5 = -1(x - 0) ..... this is one of infinitely many possible answers

OR

If you use the point (2,3), then we'd say

y - y1 = m(x - x1)

y - 3 = -1(x - 2) ..... which is another possible answer

There are infinitely many other choices, but I'm only picking the points in which your teacher has shown as big dots.

By the way, nice work on getting the correct answer for the slope-intercept form.

Step-by-step explanation:

(0,5)and (2,3)

[tex] m = \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - 3}{0 - 2} \\ = - 1 \\ \\ m = - 1 \\ substitude (0,5)or (2,3) \\ substitude \: (0,5)for \: convenience \\ y = - 1x + b \\ 5 = b \\ y = - x + 5[/tex]

Brianliest please~

hi im so sorry i can not help yo with this question hopefully someone else is smart enough to help u i wish u the best im so so so o so so so sorry sorry sorry sorry sorry sorry Step-by-step explanation:

Answer:

11

Step-by-step explanation:

44/4

Answer: 105 or b

Step-by-step explanation: inner 256 and outer is 361 making the difference 105

Answer:

$455.4 For The Year

Step-by-step explanation:

Kevin  pays $ 37.95 per month for his cell phone with unlimited minutes

First, We know that there are 12 months in 1 year.

Therefore, 1 year = 12 months

The cost per month = $ 37.95

So, have to find the cost for 12 months

Cost for 12 months = 12 x 37.95

Cost for 12 months = 455.4

So your solution to the problem is $455.4 Cost for the year.

Answer:

Step-by-step explanation:

If AB is tangent to the circle, the AB makes a right angle with the radius BC. That means that triangle ABC is a right triangle and we need Pythagorean's Theorem to find the missing side which is the hypotenuse.

[tex]AC^2=AB^2+BC^2[/tex] and filling in:

[tex]AC^2=14^2+9^2[/tex] and

[tex]AC^2=196+81[/tex] and

[tex]AC^2=277[/tex] so

[tex]AC=\sqrt{277}[/tex] ≈ 16.64

AC = 16.64

"It states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency."

From given diagram,

tangent AB = 14 units

radius BC = 9 units

Using tangent theorem,

AB is perpendicular to BC.

This means ΔABC is right triangle with ∠B = 90°

Using Pythagoras theorem,

[tex]AC^2=AB^2+BC^2[/tex]

⇒ [tex]AC^2=14^{2}+9^{2}[/tex]

⇒ [tex]AC^2=196+81[/tex]

⇒ [tex]AC^2=277[/tex]

⇒ [tex]AC=\sqrt{277}[/tex]

⇒ [tex]AC=16.64[/tex]

Therefore, AC = 16.64

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Answer:

opción D

Step-by-step explanation:

El número más bajo es -2

Número mayor que -2 es -1

Número mayor que -1 es 0

Número mayor que 0 es 4

Entonces, el orden de mayor a menor es 4> 0> -1> -2

Por tanto, la opción D es correcta

Step-by-step explanation:

for the perimeter...

18-6=12

that's to get the slant side

perimeter=10+6+12+12+20

=60

for the area I'm not sure how to solve it sorry!!

Answer:

10 x 6 = 60

20 + 10 = 30, 30 x 12 x 1/2 = 180

180 + 60 = 240 cm2 is your area

6 + 6 = 12, 12 + 10 = 22, 22 + 20 = 42

Now lets find hypotenuse:

10 - 20 = 10, 10 divided by 2 = 5

5^2 + 12^2

25 + 144 = 169

Square root of 169 is 13

Add perimeters:

42 + 13 = 55 cm is your perimeter.

Answer:

[tex]Change = \$36[/tex]

Step-by-step explanation:

Given

See attachment for line plot

[tex]Amount = \$100[/tex]

Required

Determine the change

First, we calculate the amount represented by the line plot

[tex]Amount (Plot) =10+12+12+14+16[/tex]

[tex]Amount (Plot) =64[/tex]

The change from $100 is then calculated as:

[tex]Change = Amount - Amount (Plot)[/tex]

[tex]Change = \$100 -\$64[/tex]

[tex]Change = \$36[/tex]

Answer: A

Step-by-step explanation:

x/32 = 18/13

Answer: 13

Step-by-step explanation:

Pythagoras's theorem:

A^2 + B^2 = C^2

12^2 + 5^2 = x^2

144 + 25 = x^2

169 = x^2

13 = x

Answer:

X=8

Step-by-step explanation:

[tex](8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8[/tex]

Answer:

about 671 miles

Step-by-step explanation:

2014m=3h

2014/3= about 671 miles an hour

Answer:

671.33 repeating

Step-by-step explanation:

2014/3=671.33

Answer:

19 cm

Step-by-step explanation:

Given :

Volume, V = 205 to the √3 = 205^√3

Height, h = 8.9

radius, r

Volume of cylinder:

V = πr²h

205 to the square root of 3 10094.275

company is designing a new cylindrical water bottle. The volume of the bottle will be 205 cm to the square root of 3 cm. The height of the water bottle is 8.9 cm. What is the radius of the water​ bottle?

10094.275 = π * r² * 8.9

10094.275 = 3.14 * 8.9 * r²

10094.275 = 27.946r²

r² = 10094.275 / 27.946

r² = 361.20643

r = √361.20643

r = 19 cm

Answer:

The probability is 1/41664.

To calculate the probability, write a fraction. The numerator is the number of ways the outcome can occur. The denominator is the number of different outcomes.

Thus, 1 is the number of outcomes we want. 41664 is the total number of different combinations possible.

Answer:

19.2

Step-by-step explanation:

(cos^-1)(17/18)

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

[tex]y = -x^2 + 10x - 8[/tex]

Required

The point where the trestle gets to the ground level

To do this, we set [tex]y = 0[/tex]

So, we have:

[tex]-x^2 + 10x - 8 = 0[/tex]

Multiply through by -1

[tex]x^2 -10x + 8 = 0[/tex]

Solve using quadratic formula:

[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a = 1; b =-10; c = 8[/tex]

So, we have:

[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]

[tex]x= \frac{10 \± 8.25}{2}[/tex]

Solve the fraction

[tex]x= 5 \± 4.125[/tex]

Split

[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]

[tex]x= 9.125\ or\ x= 0.875[/tex]

Answer:

3+p/q

Step-by-step explanation:

Answer:

4 is the range of the function

Answer:

The first chocie  (0,3), (1,6), (2,9)

Step-by-step explanation:

Just plug each point into the equation and see if it is correct.

y-3 = 3x

for (0,3) -->   3-3=3(0) -->0 = 0   true

for (1,6) -->  6-3 = 3(1) -->   3=3   true

fpr (2,9) -->9-3 = 3(2) -->  6=6   true

Rational

OPTION A is the correct answer

Answer:

A is the correct answer! :)

Step-by-step explanation:

have a nice day!~

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\9^{10}*9^{x}=9^{10+x}[/tex]

In exponent multiplication, if the bases are same then add the exponents.

[tex] \small \sf \leadsto 9 {}^{10 +x} [/tex]

Step-by-step explanation:

Using exponent's product rule

[tex] \small \sf \: x {}^{n} \times x {}^{m} = x {}^{n + m} [/tex]

[tex] \small \sf \leadsto \: 9 {}^{10} \times 9 {}^{x} [/tex]

[tex] \small \sf \leadsto 9 {}^{10 + x} [/tex]

Answer:

Here are all the answers (this took me awhile to figure out myself)

Step-by-step explanation:

Statement 1: ABCD is a parallelogram.

Reason 1: Given

Statement 2: draw AC.

Reason 2:  Unique line postulate.

Statement 3: BCA & DAC are alt. interior angles.

Reason 3: def. of alt. interior angles.

Statement 4: DCA & BAC are alt. interior angles.

Reason 4: def. of alt. interior angles.

Statement 5: AB || CD

Reason 5: def. of parallelogram

Statement 6: BC || DA

Reason 6: def. of parallelogram

Statement 7: <BCA = <DAC

Reason 7: alternative interior angle theorem

Statement 8: <DCA = <BAC

Reason 8: alternative interior angle theorem

Statement 9: AC = AC

Reason 9: reflexive property

Statement 10: ABC = CDA

Reason 10: ASA

Statement 11: AB = CD

Reason 11: CPCTC

Statement 12: BC = DA

Reason 12: CPCTC

By definitions of parallelogram and ASA triangle congruence AB congruent to CD and BC congruent to DA.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

Given that, ABCD is a parallelogram.

Statement                                                  Reason

ABCD is a parallelogram                           Given

AB parallel CD                                            Def. of parallelogram

BC parallel DA                                            Def. of parallelogram

Draw AC                                                      Unique line postulate

AC ≅ AC                                                      Reflexive property

∠BCA and ∠DAC re alt.

interior angles                                             Def of alt. interior angles

BCA ≅ DAC                                                Alternate interior angles theorem

DCA and BCA are alt.

interior angles                                             Def of alt. interior angles

DCA ≅ BAC                                                 Alternate interior angles theorem

ΔABC ≅ ΔCDA                                           ASA

AB ≅ CD                                                     CPCT

BC≅DA                                                       CPAT

Hence, proved.

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Answer:

Step-by-step explanation:

Answer:

x=5 and y=6

Step-by-step explanation:

Step: Solve 3x−7y=−27 for x:

3x−7y=−27

3x−7y+7y=−27+7y

3x=7y−27

[tex]\frac{3x}{3} =\frac{7y-27}{3}[/tex]

[tex]x=\frac{7}{3} y-9[/tex]

Step: Substitute   [tex]\frac{7}{3}y-9[/tex] for x in 6x−5y=0:

6x−5y=0

[tex]6(\frac{7}{3}-9)-5y=0[/tex]

9y−54=0

9y−54+54=0+54

9y=54

[tex]\frac{9y}{9} =\frac{54}{9}[/tex]

Therefore y=6.

Step: Substitute 6 for y in x= [tex]\frac{7}{3} y-9[/tex]:

[tex]x=\frac{7}{3} y-9[/tex]

[tex]x=\frac{7}{3}(6)-9[/tex]

Therefore x= 5.

x= 5 and y= 6

Hope this helped! :)

Answer:

Step-by-step explanation:

Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is

[tex]A_n=a_1(r)^{n-1[/tex] where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then

a1 = 2 and r = 3. Therefore, the explicit formula is

[tex]A_n=2(3)^{n-1[/tex] and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.

Answer:

11/3

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 33 on the left side and the dividend 9 on the right side like this:

 3 3 ⟌ 9    

Step 2:

The divisor (33) goes into the first digit of the dividend (9), 0 time(s). Therefore, put 0 on top:

       0    

 3 3 ⟌ 9    

Step 3:

Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer below the dividend.

       0    

 3 3 ⟌ 9    

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 0 = 9) and write the answer below.

       0    

 3 3 ⟌ 9    

     - 0    

       9    

You are done.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 9 divided by 33 calculated using Long Division is:

0

9 Remainder

I think its the second one.  I hope it is