Write an equation in point-slope form of a line that has a slope of 2/3 and
passes through the point (9,5).*

The 30th term of the arithmetic sequence is 265

What is an arithmetic sequence in math?

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 9 to the previous term in the sequence gives the next term. In other words,   [tex]a_{n}[/tex]= [tex]a_{1}[/tex]+ d ( n - 1 )

Arithmetic Sequence: d = 9

This is the formula of an arithmetic sequence.

[tex]a_{n}[/tex] =  [tex]a_{1}[/tex] + d ( n - 1 )

Substitute in the values of   [tex]a_{1}[/tex] = 4 and  d = 9

 [tex]a_{n}[/tex]= 4 + 9 ( n - 1 )

[tex]a_{n}[/tex]= 4 + 9n - 9

[tex]a_{n}[/tex] = 9n - 5

.30th term =   [tex]a_{n}[/tex] =   [tex]a_{1}[/tex]+ d ( n - 1 )

=  [tex]a_{30}[/tex]= 4 + 9 ( 30 -1 )

   [tex]a_{30}[/tex]=   4 + 9 x 29

  [tex]a_{30}[/tex]= 265

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Answer:

60 kkkkkkkkkkkkkkkkkkkkkk

Answer:

a = 60

Step-by-step explanation:

First off this is a straight angle so it will add up to 180 degrees we already have 30 and the other angle between a and 30 is a 90 degree angle so now we just have to subtract those from 180 to get the answer! so... 90 + 30 = 120 180 - 120 = 60

So 60 is the answer hope that helps!

Answer:

D.   49/4

Step-by-step explanation:

Complete the square by squaring half the coefficent of the x term

(-7/2)² = 49/4

After dilation, the co-ordinate of point A will be (-4,4) while B will be (2,4) and of C will be (-2,0).

The distance between the point of dilation and the point you are dilating must be multiplied by three if the point you are dilating is directly above the point of dilation and you are dilating by 3. You inserted your new point there.

The x-value of each point will be multiplied by 2 to enlarge the image by a factor of two. The x and y values of each point will be multiplied by 2 to enlarge the figure by a factor of 2.

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Answer:

15 ft

Step-by-step explanation:

Using sinus law

sin(A) /a = sin(B) /b = sin(C) /c

Where smale letters indicate the sides

For this question :

(sin(90)*12)/sin(53)=15

Answer:

9.58

Step-by-step explanation:

Sin=opposite/hypotenuse

sin53=12/length of slide

Length of slide=12sin53

=9.58

35-55-90 is a right-angle triangle because one of the angles is 90 degrees.

The explanation for a right triangle says that if one of the angles of a triangle is a right angle - 90º, the triangle is called a right-angled triangle or simply, a right triangle.

The right triangle formula can be presented in the following way: The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.

In a right triangle we have: (Hypotenuse)² = (Base)² + (Altitude)²

Properties of Right Triangle:

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Answer:

29.5m because it is rectangular finger and one path is loss .loss Parth is triangle

Answer:

11

Step-by-step explanation:

Answer:

A) [tex]\sqrt21[/tex]

Step-by-step explanation:

First you have to plug in the numbers into the Pythagreom Theroum:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]\sqrt{5} ^{2} +4^{2} =c^{2}[/tex]

(C represents you hypotnuse)

Then you square the numbers:

5 + 16 = [tex]c^{2}[/tex]

(If your confused why [tex]\sqrt5^{2}[/tex] just came out to be 5, the square and the square root cancel each other out)

Then you add the numbers:

21 = [tex]c^{2}[/tex]

Then you sqaure root both sides to cancel out the [tex]c^{2}[/tex]:

c = [tex]\sqrt21[/tex]

Answer:The cafeteria sold 2 Ham sandwiches and 10 Turkey sandwiches

Step-by-step explanation:

Let the number of Ham sandwiches be rep as x

and turkey sandwiches be x+8

such that the equation to solve the question since total amount of sandwiches sold is 12 becomes '

x + x+8=12

2x+8=12

2x=12-8=44

x=4/2=2

Therefore number of ham sandwiches sold is 2

and number of turkey sandwiches sold is x+8=2+8=10

Redraw the triangle just 1/2 the size

Answer:

Answer is in the image attached.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D: because the factor, fraction, decimals wont be multiply hundreadths of it specially when you add 27 so D: is my answer

Step-by-step explanation:

Does this help?

The classification of the transformations based on the properties are presented as follows;

[tex]\begin{array}{|c|c|c|} & \mathbf{Preserves \ length} & \mathbf{Does \ not \ preserve \ lengths} \\\mathbf{Preserves \ angle \ measure} & Reflection\ Rotation &Translation \ followed \ by \ dilation \\&&Dilation \ with \ K > 1\\\mathbf{Does \ not \ preserve \ angle \ meas} & & \\\end{matrix}[/tex]

The transformations that preserves the lengths of the original figure or pre-image and also preserves the angle measure is a rigid transformation.

Rigid transformations includes; Reflections, rotations, and translations

Transformations that preserves the angle of measure but in which the lengths of the preimage is not preserved are non-rigid transformations

Non rigid transformations includes; Dilation with a scale factor

Transformations that does not preserve the angle measure includes; Shear transformation

A translation and a dilation transformation does not preserve the lengths of the original figure.

The classification of the transformations based on their properties are therefore presented as follows;

[tex]{}[/tex]                               Preserves lengths      Does not preserve lengths

Preserves               Reflection              [tex]{}[/tex]    Translation followed by dilation

angle measure       Rotation                   [tex]{}[/tex]  with k > 1

                                                          [tex]{}[/tex]        Dilation with k > 1

Does not              

Preserve angle

measure

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The three equations for this problem are:

Let's call the number of chocolate cakes x, the number of fruit cakes y, and the number of sponge cakes z

so the

let's use the third equation to get the value of x,y and z:

If you get the values and substitute, then the answer would be:

4 chocolate cakes, 5 fruit cakes, 2 sponge cakes

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as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]2(x-2)^2=8(7+y)\hspace{5em}\stackrel{\textit{quick switcheroo}}{2(y-2)^2=8(7+x)} \\\\\\ (y-2)^2=\cfrac{8(7+x)}{2}\implies (y-2)^2=4(7+x)\implies (y-2)^2=28+4x \\\\\\ y-2=\pm\sqrt{28+4x}\implies \boxed{y=2\pm\sqrt{28+4x}}\qquad \impliedby f^{-1}(x)[/tex]

One cannot add themselves directly to Wikipedia as this can cause harm to the platform and community in a later run. As one can start adding content and details on the page based on their personal opinions.

Therefore we can say that  the answer is that we cannot edit or create our own Wikipedia page, because that would be a conflict of interest ,more on this later.

But the thing which one can do is to add themselves in the line ,to list themselves on Wikipedia’s repository of articles which are out there looking for creators who can help maintain the site.

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Answer:

1)33.4096

2) 113.1

3) 268.08

4) 904.78

Step-by-step explanation:

Volume = 4/3π*r cubed

So, let's say π = 3.14

1) Radius =2

4/3*3.14 = 4.1762

4.1762*2*2*2

4.1762* 8

=33.51

2) Radius = 3

113.1

3) Radius = 4

268.08

4) Radius = 6

904.78

I hope this helps

Sorry if it's wrong, I am just 4th grade :(

Answer:

14t²+42t

Step-by-step explanation:

So you're basically going to use distributive property.

(2t+6)+7t is the same as, (2t)7t + 6(7t).

2t(7t)= 14t² and 6(7t)= 42t.

Combine the two answers and you get 14t²+42t.

14t²+42t is the simplest form you can get to.

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

[tex]\cfrac{35}{m}=\cfrac{m}{7}\implies 245=m^2\implies \sqrt{245}=m\implies \sqrt{7^2\cdot 5}=m\implies 7\sqrt{5}=m[/tex]

The probability that the first card is a heart and the second card is a 10 is 1/51.

Probability with Replacement is used for questions where the outcomes are returned to the sample space again. This means that once the item is selected, it is replaced in the sample space, so the number of elements of the sample space remains unchanged.

The following combinations are possible:

When we choose first card, total no. of card is 52 and card of heart is 13

so the probability of the first card to be heart is

P(1)= 13/52

= 1/4

When we choose second card, total no. of card is 51 and card of 10 is 4

so the probability of the first card to be 10 is

p(2)= 4/51

So the final probability is

= P(1)* P(2)

= 1/4 * 4/51

= 1/51

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Step-by-step explanation:

the area of a triangle is base times height divided by 2.

A = (b × h) / 2

so, when b = 3 and h = 4, then

A = (3 × 4) / 2 = 12 / 2 = 6

correct.

now the other way around

we know the area (6).

=> 6 = (b × h) / 2

=> 12 = b × h

well, b=3, h=4 is one possible solution for this.

but so is e.g. b=2, h=6, or b=12, h=1, or ...

and that is just the natural numbers. then there are rational numbers and so on.

therefore there is an infinite set of possible (b, h) pairs that satisfy the equation 12 = b × h.

therefore the statement that we can conclude out of a given triangle area of 6 that b must be then 3 and h must be 4 is wrong.

simple - it is one equation with 2 variables and has therefore usually not just one solution.

Answer:

1/8

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

convert this to a decimal.

1/2 = 0.50

1/4 = 0.25

0.5 x 0.25 = 0.125

0.125 x 8 = 1

Answer:

(2,4)

Step-by-step explanation:

x=2

y=4

Answer:

[tex]\boxed {\boxed {\sf 14.2 \ cm}}[/tex]

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

Substitute these values into the formula.

[tex](9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}[/tex]

Solve the exponents.

[tex]81 \ cm^{2} +(11 \ cm)^{2} =c^{2}[/tex]

[tex]81 \ cm^{2} +121 cm^{2} =c^{2}[/tex]

Add the values on the left side.

[tex]202 \ cm^{2} =c^{2}[/tex]

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

[tex]\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }[/tex]

[tex]\sqrt {202 \ cm^{2} }=c[/tex]

[tex]14.2126704036 \ cm =c[/tex]

We are told to round to the nearest tenth.

The 1 in the hundredth place tells us to leave the 2 in the tenth place.

[tex]14.2 \ cm= c[/tex]

The hypotenuse is equal to 14.2 centimeters.

Answer:

The distance between the yacht from the ship is about 33.6 km.

Step-by-step explanation:

The diagram is attached below.

Point A is the shipe, Point B is the tugboat, and Point C is the yacht.

Since the tugboat is 28 km away, and the scale being used is 1 cm : 4 km, the tugboat is 7 cm away from the ship at a 210° bearing on the diagram.

Likewise, the yacht is 6 cm away from the tugboat at a 210° bearing.

To find the distance between the yacht to the ship, we need to determine the value of x.

To do so, we can use the Law of Cosines:

[tex]b^2=a^2+c^2-2ac\cos(B)[/tex]

First, we need to determine ∠B.

A has a bearing of 210°. 180° is covered by QI and IV. So, the small angle in QIII is 30°.

By Alternate Interior Angles, the angle in QI (inside the triangle) of Point B must also be 30°.

And since Point B has a bearing of 310°, 270° is covered in total by QI, QIV, and QIII. So, 40° is left in QII.

Therefore, 50° is the measure of the angle in QIII within the triangle of Point B.

Thus, ∠B measures 50° + 30° = 80°.

So, ∠B measures 80°. We also know that a = 6 and c = 7. Substitute:

[tex]b^2=(6)^2+(7)^2-2(6)(7)\cos(80)[/tex]

Simplify and take the square root of both sides. So:

[tex]b=\sqrt{85-84\cos(80)}[/tex]

Approximate using a calculator:

[tex]b=8.3912...\approx 8.39\text{ cm}[/tex]

Since 1 cm : 4km, to find the distance in km, we simply need to multiply by four. So:

[tex]\Rightarrow b=4(8.3912...)=33.5651\approx 33.6\text{ km}[/tex]

The distance between the yacht from the ship is about 33.6 km.

Answer:

there r more students who way 60-69 kilograms and there r less students who way 90-100 kilograms

Step-by-step explanation:

Answer:

y=6x-23

Step-by-step explanation:

Step-by-step explanation:

m = (y2 - y1)/(x2-x1)

m = (-5 -1)/(3-4) = -6/-1 = 6

y = 6x + b

then

slope point form

y - y1 = m (x - x1)

y - 1 = 6 (x - 4)

y - 1 = 6x - 24

y = 6x - 23

Answer: 7 hours! you do 74-18 to get 56 then you divide 56 by 8 to get 7.

Step-by-step explanation:

hope this helps!!