Are the given lines parallel? Explain
X=-1, and y=2

Answer:

a) V = 35.1 in.^3

b) V = 288 pi in.^3

c) h = 2.7 in.

Step-by-step explanation:

a)

radius of base = 2 in.

height = 8 in.

volume of cone = (1/3)(pi)(r^2)h

V = (1/3)(pi)(2 in.)^2(8 in.)

V = 35.1 in.^3

You are correct.

b)

You must leave the answer in terms of pi, so do not use 3.14 or another approximation for pi.

radius of base = 6 in.

height = 24 in.

volume of cylinder = (pi)(r^2)h

V = (1/3)(pi)(6 in.)^2(24 in.)

V = 288 pi in.^3

c)

volume = 288 pi in.^3

radius = 18 in.

288 pi in.^3 = (1/3)(pi)(18 in)^2 h

288 in. = (1/3)(324)h

288 in. = 108h

h = 2.666 in.

h = 2.7 in.

Answer:

The only possible value for x is 7.

Step-by-step explanation:

Recognize that we are given two different equations for the area, A:

1) A = 63 in^2, and

2) A = x^2 - 16x + 126

These two equations must be equal to each other:  A = A

and therefore,

x^2 - 16x + 126 = 63, which becomes x^2 - 16x + 63 = 0 if we subtract 63 from both sides.

Let's solve this using "completing the square."  Take half of the coefficient of x (which coefficient is -16), halve it (obtaining -8) and square the result (obtaining 64).  Now, between -16x and +63 (see the last equation, above), we write +64 - 64, obtaining:

x^2 - 16x + 64 - 64 + 63, which can be rewritten as:

(x - 8)^2 -1 = 0.  Note that this has the form (x - h)^2 + k, and that h is 8 and k is -1.  Thus, the associated parabolic graph has its vertex at (h, k), or (8, -1).  This graph opens up.  Because the vertex is below the x-axis, we know that the graph intersects the x-axis in two places.

Let's find these x values.  Rewrite (x - 8)^2 -1 = 0 as (x - 8)^2 = 1.  Squaring both sides results in x - 8 = 1, which simplifies to x = 9.  This x = 9 is 1 greater than the x-coordinate of the vertex (8).  Knowing tht the graph is symmetrical about the vertical line x = 8, we can safely assume that x = 7 is the other solution, as it is 1 unit to the left of x = 8.

Now we must check these possible solutions {7, 9}.  

Evaluate the second equation at each 7 and 9 and determine whether the area turns out to be 63 in^2, as it must.

(7)^2 - 16(7) + 126 = 49 + 126 - 112, which in turn is equal to 63.  Yes, x = 7 is a possible value for x.

Next:  x = 9.  (9)^2 - 16(9) + 126 = 81 - 112 + 126 = 95.  This does not agree with A = 63 in^2, so we must reject x = 9.

The only possible value for x is 7.

Answer:

62.5 m

Step-by-step explanation:

Proportions:

10/20 and x/125

-cross multiply

20x = 125*10

20x = 1250

20x/20 = 1250/20

x = 62.5

Answer:

Step-by-step explanation:

(4x+9)/(7/3)=(3x)/(1/2)

(12x+27)/7=6x

12x+27=42x

-30x+27=0

-30x=-27

x=27/30

x=9/10

Answer:

I got x=0.

Step-by-step explanation:

Tell me if I am wrong.

Answer:

nonagon

Step-by-step explanation:

The correct name for a 9-sided polygon is nonagon.

Answer:

option c. nonagon

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

Answer: r ≈ 7.01%

Step-by-step explanation:

Answer:

4.9%  

Step-by-step explanation:

Answer:

1/(32^1.4)

Step-by-step explanation:

1/(32^1.4)

Answer:

Exponential Growth

Step-by-step explanation:

This would be a case of decay if the value of the house were to decrease by 5% but since it is an increase, it is in fact, growth.

Answer:

3(2x+2) = 6x + 6

Step-by-step explanation:

Those are algebra tiles, so it is saying (if you read across the top) 2x +2 then if you read down you have 3 units, so the dot means 2x + 2 multiplied by 3

If you write it in algebraic terms it is 3(2x+2) so the answer when you distribute is 3 (2x) + 3(2) so 6x + 6, and if you count the number of red rectangles you have 6 of them, hence the 6x, and if you cound the units in gray you have 6 of them, hence the 6.

Algebra tiles are used to demonstrate algebra concepts

Answer:

qsyyyyyy                                                                                                          ;-;                  

Answer: 6

18: Dividend

3: Divisor

6: Quotient

Answer:

1

Step-by-step explanation:

Answer:

The coefficients are:

[tex](a)\ 5x[/tex]

[tex](b)\ -4b[/tex]

[tex](c)\ 38bc[/tex]

[tex](d)\ -24b^2c[/tex]

Step-by-step explanation:

Required

The coefficient of a

To get the coefficient, we simply remove a. The remaining terms is the required coefficient

Solving (a):

[tex]Expression = 5ax[/tex]

Remove a

5x:

Hence, the coefficient is 5x

Solving (b):

[tex]Expression = -4ab[/tex]

Remove a

-4b

Hence, the coefficient is -4b

Solving (c):

[tex]Expression = 38abc[/tex]

Remove a

38bc

Hence, the coefficient is 38bc

Solving (d):

[tex]Expression=-24ab^2c[/tex]

Remove a

[tex]-24b^2c[/tex]

Hence, the coefficient is [tex]-24b^2c[/tex]

Answer:

C

Step-by-step explanation:

A is specific to a single neighborhood

B is specific to a single nursing home

D is specific to only patrons

When looking for a random sample, in this case - the town, you have to consider how to select based on the entire sample.

Answer:

120 - 14 = 106

Step-by-step explanation:

7 x 2 = 14

10 x 12 = 120 therefore you,

120 - 14 = 106

The area of the shaded region is 106 m².

We have,

The area of the rectangle:

= length x width

From  the figure,

Bigger rectangle dimensions:

Length = 12 m

Width = 10 m

Smaller rectangle dimensions:

Length = 7 m

Width = 2 m

Now,

The shaded region.

= Area of the bigger rectangle - Area of the smaller rectangle

= 12 x 10 - 7 x 2

= 120 - 14

= 106

Thus,

The area of the shaded region is 106 m².

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

Answer:

depended is the 6th grade

independed the 2/9 students

-by-step explanation:

9514 1404 393

Answer:

  P'(1, -7)

  Q'(6, -7)

  R'(-3, -10)

Step-by-step explanation:

The relevant transformation is ...

  (x, y) ⇒ (y, x) . . . . . . reflection over y=x

Simply interchange the x- and y-coordinates.

  P'(1, -7)

  Q'(6, -7)

  R'(-3, -10)

Answer:

sec y=(1+x)+ce^x

Step-by-step explanation:

sin y dy/dx-cos y=-x cos² y

sin y dy/dx- cos y= -x cos²y

tan y.sec y. dy/dx- sec y= -x

I.F. = e^-x

By multiplying, we get

e^-x dv/dx-e^-x.v=-x.e^-x

ve^-x=∫-xe^-x dx=xe^-x+e^-x+c=e^-x(x+1)+c

v=(1+x)+ce^x

sec y= (1+x)+ce^x

Answer:

24x² - 46x + 7

Step-by-step explanation:

Area of the shaded region = area of the larger square - area of the smaller square

✔️Area of the larger square = s²

= (5x - 4)²

= (5x - 4)(5x - 4)

= 5x(5x - 4) -4(5x - 4)

= 25x² - 20x - 20x + 16

= 25x² - 40x + 16

✔️Area of smaller square = s²

= (x + 3)² = (x + 3)(x + 3)

= x(x + 3) +3(x + 3)

= x² + 3x + 3x + 9

= x² + 6x + 9

✔️Area of the shaded region = (25x² - 40x + 16) - (x² + 6x + 9)

= 25x² - 40x + 16 - x² - 6x - 9 (distributive property)

Ad like terms

= 24x² - 46x + 7

Answer:

x(^9 radicand y^2)

Last option

Answer: 148.32 (Rounded) 148.3191489 (Unrounded)

Step-by-step explanation:

Answer:

hope it is helpful

plz mrk it as brainliest

Answer:

a) 0.8(120) = 96 completed

b) 120 - 96 = 24 uncompleted

Answer:

V would go to (6,-3), S (4,-2), T (4,2), U (6,6)

Step-by-step explanation:

move each point right 10 points, and down 2 points. :)

Answer:

x-int: 2

y-int: -2

Step-by-step explanation:

x-int is where the line crosses the x axis (horizontal line) and y-int is where the line crosses the y axis (vertical line).

Step-by-step explanation:

One interior angle of a triangle = 30⁰ .

The measure of other two are x and y .

We know that the angle sum property of a triangle is 180⁰ .

=> x + y + 30⁰ = 180⁰

=> x + y = 180⁰ - 30⁰.

=> x + y = 150⁰.

Possible solution set of x and y are ,

(1,149) (2,148 ) ...... (148+2) & (149+1)

Basically we are here decreasing y and increasing x to obtain the values .

Hope it helped !

Answer:

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).

Therefore, the number of possible outcomes when two dice are thrown is 36.

Now, the possible outcomes of getting a sum equal to 8 is {(2,6),(3,5),(4,4),(5,3),(6,2)}, which means the number of favourable outcome is 5.

Therefore, probability P of getting a sum equal to 8 is:

P= 36/5

Hence, the probability of getting a sum equal to 8 is 36/5 .

Step-by-step explanation:

Hope it is helpful...

Answer:

Step-by-step explanation:

b