x^2 + y^2 =-6x-14-6y

Answer:

10 ft

Step-by-step explanation:

The length of the slide can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

6² + 8² =

36 + 64 = 100

c = √100

c = 10

Answer:

The probability is 3/10

Step-by-step explanation:

So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10

Answer:

2

Step-by-step explanation:

Answer:

y=4x/3+17

Step-by-step explanation:

4/3=y-5/x+9

y=4x/3+17

The equation in point-slope form for this line is -

(y - 5) = (4/3)(x + 9)

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

We have a line that passes through the point (-9,5) and has a slope of

4/3.

The point slope form is given by -

(y - y₁) = m(x - x₁)    

Now, we can write the equation as -

(y - 5) = (4/3)(x + 9)

Therefore, the equation in point-slope form for this line is -

(y - 5) = (4/3)(x + 9)

To solve more questions on straight lines, visit the link below-

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Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

Answer:

The answer is C.

Step-by-step explanation:

Had this on a quiz.

Answer: [tex]3\times \dfrac{P}{3}=P[/tex]

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]

i.e.

[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]

Answer:

the answer is 456,976,000

Answer:

⬇️ i got it right

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

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Answer: 17

Step-by-step explanation:

Answer:

B) 17

Step-by-step explanation:

Prime numbers are numbers that are not products of two smaller natural numbers. Everything except 17 is not prime cuz they can be derived from multiplying other numbers but 17 cannot be.

Answer:

20%

Step-by-step explanation:

21/ 105

= 0.2 x 100

20%

Using the order of the letters in the triangles find the corresponding sides:

BL is similar to JF

LT is similar to KF

BT is similar to JK

Find the scale between LT and KF

9/12 = 3/4

The smaller triangle is 3/4 the size of the lager one.

This means BT = 3/4(JK) = 3/4(4) = 3

So x = 3, so side BL = 2x = 2(3) = 6

Now to solve for y:

BL is 3/4(JF)

6 = 3/4(y)

Solve for y by dividing both sides by 3/4

Y = 6/(3/4)

Y = 8

X = 3, y = 8

Answer:

y = -2/3x - 5

Step-by-step explanation:

Answer:

B.) -9

Step-by-step explanation:

The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

The standard equation of a function in vertex form is given as:

f(x) = (a + x)^2 + h

Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:

3/2= -b/2a

-b/2(3)=3/2

-b/6=3/2

Cross multiply

-2b = 18

-b=9

Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

Learn more on axis of symmetry here: https://brainly.com/question/21191648

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

[tex]l = \sqrt{12^2 + (-5)^2[/tex]

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

Answer:123

Step-by-step explanation:

Answer:

simple - 1/21 chance

Step-by-step explanation:

since its asking for the probability of "a" marble, and not all the green marbles, you add everything up and slap what outcome (1 in this case) on top of the 21

here is cat

Answer:

3 is for green marbles

21 is the total of all marbles

Step-by-step explanation:

you only have 1 event so I think we don't need some formula or something

the formula is this if the event A and B has no intersection P( A U B)= P(A)+P(B)

and if it has intersection, the formula is like this P( A ∩ B)=P(A)+P(B)-P( A ∩ B)

Answer:

Triangle A and B

Step-by-step explanation:

Both triangles have two same angles.

If Triangle A is rotated like Triangle B, they would be the same.

Vice versa, if Triangle B is rotated like Triangle A, it would be the same.

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

x = 20

y = 30

Step-by-step explanation:

Answer:

x = 20

y = 30

Step-by-step explanation:

y = 3x - 30

2x + 2y = 100

2x + 2(3x - 30) = 100

2x + 6x - 60 = 100

8x - 60 = 100

8x = 160

x = 20

y = 3(20) - 30

y = 60 - 30

y = 30

Answer:You can do this two ways:  Either use the slope intercept form

y = mx + b   with slope m=-2 so y = -2x +b

From that use x=5, y = -3 to solve for b

-3 = -2(5) + b

-3 = -10 + b

10-3 = b

7 = b

Your equation is:  y = -2x + 7

OR

Use the point slope formula:  y - y1 = m(x-x1)

with m = -2,  (x1, y1) = (5,-3)

y-(-3) = -2(x-5)

y + 3 = -2x + 10

y = -2x + 10 - 3

y = -2x + 7

Step-by-step explanation:

Step-by-step explanation:

2y=a

y=a/2

putting value of y

y=3x+12

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

Answer:

$0.42

Step-by-step explanation:

Given data

Dimension

Length=4m

Width=2m

Cost=  $1.75

Area= 4*2= 8m^2

Cost per area=1.75/8

Cost per area=$0.21 per m^2

The new poster's dimension

Lenght =2m

Width= 1m

Area= 2*1= 2m^2

Hence if a square meter cost $0.21

Then 2 square meter  will cost x

cross multiply

2*0.21=x

x=$0.42

Hence the new poster will cost $0.42

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Answer:

z will be11

11z = 121

z = 121/11

z= 11

Answer:

1=121= 11

Step-by-step explanation:

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.  

Answer:

y = -5x + 3.

Step-by-step explanation:

We can find the point of intersection by solving the system:

y = 2x + 3  ....  1

x + y = 3   ......  2          from this:

y = 3 - x   ....... .3

Equating equations 1 and 3:

2x + 3 = 3 - x

3x = 0

x = 0 so y = 2(0) + 3 = 3.

So the point of intersection is (0, 3).

So the required equation has slope -5 and passes through (0, 3) and,  using the point-slope form of a straight line, we have:

y - 3 = -5(x - 0)

y - 3 = -5x

y = -5x + 3.

Answer:

Length will be 173

Step-by-step explanation: