Identifying parallel and perpendicular lines

Answer:

The odd that B draws an ace is 3/51 or 1/17

No, it is independent because they don't know if the card they draws is an ace or not. Because if B take the card first also it would be ace so it isn't dependent i think

Answer:

Center [tex]= (0,0)[/tex]

Vertices  [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].

Step-by-step explanation:

The standard form of an ellipse is

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]    ...(1)

where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.

[tex]c=\sqrt{a^2-b^2}[/tex]

The given equation of ellipse is

[tex]3x^2+7y^2=21[/tex]

Divide both sides by 21.

[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]

[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex]    ...(2)

On comparing (1) and (2), we get

[tex]a^2=7,b^2=3[/tex]

[tex]a=\sqrt{7},b=\sqrt{3}[/tex]

Now,

[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]

Therefore,

Center [tex]= (0,0)[/tex]

Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].

Answer:

False.

Step-by-step explanation:

A point on the cordinate plane needs an x-coordinate and a y-coordinate.

The point is (x1, y1) not just x1.

The statement is true because the point-slope form of a line is y - y₁ = m(x -x₁), where m is the slope and x1 is a point on the line.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

The point-slope form of a line is y - y₁ = m(x -x₁), where m is the slope and x1 is a point on the line.

Hence, the statement is true.

Learn more on Point-slope form of a line here: brainly.com/question/11624671

#SPJ2

The width of the room is equal to 6 m

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: Perimeter=36 m

Let the length of the room be 2x and width of the room be x

Then we have (2x+x)=36

                             x=12

Thus length =12m & width=6 m

Hence, the width of the room is equal to 6 m

Learn more about the perimeter here:

https://brainly.com/question/20693059

#SPJ2

Answer:

Yes

Step-by-step explanation:

1/3 = 3 in 1

3(1) = 3

3 x 12 = 36

So 36 is correct

Answer:

I’m pretty sure you are correct.

Answers are c, a, and c

Answer:

1. A

2.C

3.C

Step-by-step explanation:

Answer: -17 degrees

Step-by-step explanation:

109-126 = -17

Answer:

-17 degrees

Step-by-step explanation:

since it is 126 degrees lower, you minus 126 from 109.  109-126= -17

Answer:

Step-by-step explanation:

First derivative

[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]

Second derivative

[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]

Third derivative

[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]

Fourth derivative

[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]

Answer:

Step-by-step explanation:

A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;

[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]

Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;

[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]

The length of the unknown leg in the right triangle is 8

Answer:

a. 8 yd

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{87}[/tex]

Length = [tex]\sqrt{23}[/tex]

x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²

x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²

x² = 87 - 23

x² = 64

[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]

x = 8 yd

Answer:

-48

Step-by-step explanation:

First You put The question in Order

HOPE THIS HELP

STAY SAFE:)

Answer:

Step-by-step explanation:

2.54 centimeters = 1 inch

15.24 centimeters = 6 inches

I don't know what other relationships they want :)

Answer:

10,000

Step-by-step explanation:

3 years x 20% = 60%

60% of 25000 is 15000

25000 -15000 =  10,000

Answer:

a=7

Step-by-step explanation:

7(a – 10) = 13 – 2(2a + 3)

Open the bracket

7a-70=13-4a-6

Collect like terms

7a+4a=13-6+70

11a=77

divide both sides by 11

11a/11=77/11

a=77/11

a=7

Answer:

(6, -5)  (Answer C)

Step-by-step explanation:

Multiply the first equation by 2.  We get the following equivalent system:

4x + 2y = 14

 x - 2y  = 16

------------------

  5x = 30, or x = 6.

Substituting 6 for x in the second equation, we get

6 - 2y = 16, or

  -  2y = 10, so that y = -5

and the solution is (6, -5)  (Answer C)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Give me brainly

Answer:

y = x

Step-by-step explanation:

The graph of f(g(x)) is the straight line y = x.

Answer:

105

Step-by-step explanation:

5x3=15

2x3=6

2x6=14+(4x1)=18

2x6=14+(4x1)=18

1x3=3

2x3=6

4x3=12

6x3=18

add all of them...

=105

if its right can u pls mark as brainliest?

The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

S.A = 2(lw + lh + wh)

Where l is length, w is width and h is height.

Given the data in the image;

For the first rectangular prism

For the second rectangular prism

Now, surface area of the first rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)

S.A = 2( 3cm² + 4cm^2 + 12cm² )

S.A = 2 × 19cm²

S.A = 38cm²

Next, the surface area of the second rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)

S.A = 2( 15cm² + 10cm^2 + 6cm² )

S.A = 2 × 31cm²

S.A = 62cm²

Total surface area TSA = 38cm² +  62cm²

T.S.A = 100cm²

Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²

Learn  more about area of prisms here: https://brainly.com/question/17351910

#SPJ2

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

Answer:Decreasing

Step-by-step explanation:

Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .

Answer:

Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:

a. So in your case, starting from the bottom, the slope is:

If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)

So the coordinates of the two points would be:

(0,0) and (13, 8)

Using the formula we would have:

b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.

However, if you proportionally increase the width and the height, then the slope will remain the same.

Step-by-step explanation:

Answer:

C. 20

Step-by-step explanation:

105 + 9.5x = 14.75x

105 = 5.25x

20 = x

Answer:

This is true.

Step-by-step explanation:

A point can only be on one dimension.

Answer:

FALSE

Step-by-step explanation:

i just took it

Answer:

38

Step-by-step explanation:

180-142=38

Answer:

180-142 (supplementary angles)

38

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here [tex]S_{8}[/tex] = 1530 and r = 2, thus

[tex]\frac{a_{1}(2^{8}-1) }{2-1}[/tex] = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

Answer:

40 adults and 140 kids

Step-by-step explanation:

Answer:

40 adults

Step-by-step explanation:

40 adults and 140 kids

20 times 7 is 140

40 plus 140 is 180

Answer:

The answer is option a.

Step-by-step explanation:

=(7+12/2 , 9+11/2)

=(19/2, 20/2)

= ( 9.5 , 10)

Hope this helps.

sorry i did the best i could

Answer:

Step-by-step explanation:

[tex]y^{4}\sqrt{16x^{8}y^{12}z^{4}}=y^{4}\sqrt{4*4*x^{4*2}y^{6*2}z^{2*2}}\\\\ =y^{4}\sqrt{4^{2}*(x^{4})^{2}*(y^{6})^{2}*(z^{2})^{2}}\\\\=y^{4}*4*x^{4}*y^{6}*z^{2}\\\\=4x^{4}y^{4+6}z^{2}\\\\\\=4x^{4}y^{10}z^{2}[/tex]