What is the length of a line segment with endpoints 3, 2, and -3, -4, in
the simplest radical form

Let's see

[tex]\\ \rm\rightarrowtail x^2+4x-21[/tex]

[tex]\\ \rm\rightarrowtail x^2+7x-3x-21[/tex]

[tex]\\ \rm\rightarrowtail x(x+7)-3(x+7)[/tex]

[tex]\\ \rm\rightarrowtail (x-3)(x+7)[/tex]

Answer:

  A: geometric; 4 times

  B: arithmetic: 4 more

Step-by-step explanation:

An arithmetic model is a linear model, where the rate of change is constant.  Growth or decay is by a constant amount from one interval to the next.

A geometric model is an exponential model, in which the rate of change is proportional to the amount. Growth or decay is by a constant factor from one interval to the next.

__

The equation for the sequence is given in "explicit" form:

  [tex]A_n=2^{2n}[/tex]

The exponent can be split so this can be rewritten as ...

  [tex]A_n=(2^2)^n=4^n[/tex]

If this were written in recursive form, it would look like ...

  [tex]A_0=1,\ A_n=4\times A_{n-1}[/tex]

The fact that terms are related by a constant factor tells you the model is geometric. The factor tells you each hour the population is 4 times what it was in the previous hour.

__

The given equation is in "recursive" form. It tells you each term is 4 more than the previous one. This constant difference between terms means the model is arithmetic.

_____

Additional comment

In general, words like "more" or "increase" refer to addition, and the words "times" or "factor" refer to multiplication.

Answer:

Step-by-step explanation:

To solve for x and y, take advantage of the relationships between angles and diagonals in a rhombus. Each diagonal bisects the vertex angle, and the acute angles in each right triangle are complementary.

__

The angles created by the diagonal at the lower left vertex are congruent:

  y° = 21°

__

The angles x° and y° are complementary:

  x° = 90° -21°

  x° = 69°

Answer:

k= -5

Step-by-step explanation:

The equation for slope is rise over run which is also (y2-y1)/(x2-x1)

with the given coordinate being (x,y)

So, we just plug the given values into the equation in order to solve for k.

(9-k)/(-6-1)= -2

First let's simplify the denominator:

(9-k)/(-7)= -2

then we get rid of the denominator by multiplying it on both sides:

(9-k)= (-7)*(-2)

(9-k) = 14

-k = 5

k=-5

Answer:

x = 46°

Step-by-step explanation:

the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then

x + 134° = 180° ( subtract 134° from both sides )

x = 46°

Answer:

1 foot

Step-by-step explanation:

you multiply 5 1/4 inches by two, you would get 10 1/2 inches. if 2 inches equals 1 foot then 5 inches would equal 10 inches and 1/4 would equal 1/2. If you put those numbers together, you get 10 1/2 inches. Therefore the answer is 2 inches = 1 foot. 

2x=3

x=3/2 =1.5

Answer:

a) 2L + 2W = 42

b) L = 2W + 3

c) The system is :

2L + 2W = 42

L - 2W = 3

( add the two equations )

3L + (2w - 2w) = 45

3L = 45

L = 45/3

L = 15 ( Length )

L - 2W = 3

15 - 2W = 3

2W = 15 - 3

W = 12/2

W = 6

Step-by-step explanation:

1-(a)

2-(c)

3-(d)

4-(b)

I hope it helped you

If u didn't understand anything pls ask in comment

Answer:

348

Step-by-step explanation:

hope this helps

Answer:

x= 12

Step-by-step explanation:

Hope u understood it

"PLEASE MARK ME THE BRAINLIEST"

Answer:

He should have got 40

Step-by-step explanation:

680 / 45 = 15.11

45 x 16 = 40

Step-by-step explanation:

about circle R

arc angle MP = angle MRP = 78°

angle M = angle LMP.

according to the rules of inscribed angles, LMP is half of angle LRP.

LRP + MRP = 180° because together they cover the whole LM segment (half-circle).

LRP = 180 - MRP = 180 - 78 = 102°

so, LMP = angle M = 102/2 = 61°

also circle R (with arc ULNP)

the arc ULNP = arc UL + arc LN + arc NP = 160°

due to the congruent definition of JU and MP we know that arc UL = arc NP.

and we know arc LN = arc JM = 18°.

so,

160 = 2×arc NP + 18

142 = 2×arc NP

arc NP = 71° = arc UL

now, because arc MP + arc LP = 180 (half-circle),

arc MP = 180 - arc LP = 180 - arc LN - arc NP =

= 180 - 18 - 71 = 91°

about the circle R with 2 congruent chords :

the second answer : they are equidistant from R (the center of the circle).

about circle W

arc MK + arc KL = 180° (half-circle).

and we see

arc HL = arc KL = 53°.

so,

arc MK + 53 = 180°

arc MK = 180 - 53 = 127°

about circle M

arc QTS = 204°.

therefore, arc QRS = 360 - arc QTS = 360 - 204 =

= 156° = angle QMS.

according to the rules of inscribed angles

angle QTS = QMS/2 = 156/2 = 78°

Answer:

4:55 hrs :)

Step-by-step explanation:

1:30 hours + 40 min + 40 min + 2:05 

1:30 hrs + 1:20 hrs + 2:05 hrs

2:50 hrs + 2:05 hrs

4:55 hrs

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

4 1/14

Step-by-step explanation:

1 5/14 x 3 = 4 1/14

Answer:

4 1/14 pages

Step-by-step explanation:

multiply 1 5/14 by 3

start by multiplying 1 by 3 which is 3

then multiply 5/14 by 3, you just have to multiply the 5 and you get 15/14 which is 1 1/14

add 3 and 1 1/14 and you get 4 1/14

Supplementary angles = The angles add up to 180 degrees / form a straight line.

Angle KLO and angle KLJ form a straight line -> they are supplementary angles.

Answer:

12

Step-by-step explanation:

it would be 12 if it is unknown so 12 because y and x are used for unknown numbers.

i hope i got it right just tell me if this is wrong, please

The expression for the smaller number is q = x - 4

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the greater number be p = x

Let the smaller number be q

If the greater number is x, then the other number must be 4 less than x.

We can express this algebraically as:

On simplifying the equation , we get

q = x - 4

Hence , the other number is x - 4.

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Thee intersection point of the terminal side which measure the angle pi/6 radians  is (0.886, 0.5).

A circle is a special type of ellipse in which the eccentricity is zero and the two foci are coincident.

The distance from the center to the circumference is called the radius of the circle.

Given that  the terminal side of an angle measuring π/6 radians.

The coordinate point on the circle has to be find out It is known that, the formula for the coordinate is given by

x = r cos∅   and y = r sin∅

Let the r be unity.

Then, x will be

[tex]x=\frac{\pi }{6} \\x=cos(\frac{\pi }{6}) \\\x=0.866[/tex]

The variable y will be

[tex]y=sin\frac{\pi }{6}[/tex]

y=0.5

Thus, the intersection point is (0.886, 0.5).

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the answer is a i hope this helps

Step-by-step explanation:

hope this helps

Answer: 52.4

Step-by-step explanation:

Answer:

π\3 ≈ 1.0 in²

Step-by-step explanation:

area of a full circle= 2πr = 2π(10) = 20π

central angle of full circle= 360°

area of the shaded region= ?

angle of shaded region= 60°

[tex] \frac{360}{60} = \frac{20\pi}{?} \\ \: \\ {?} = \frac{20\pi \times 60}{360 } = \frac{\pi}{3} [/tex]

Answer:

1.72e-3 = 1.72 x 10-3 = 0.00172

Step-by-step explanation:

72e-3 is a scientific notation used in mathematics, physics, chemistry, astronomy and other sciences to handle either very large or very small numbers. With scientific notation adding, subtracting, multiplying and dividing numbers becomes much simpler

Answer:PLEASE BRAINLIEST

factor using 12 (gcf)

12(5x-2)

The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

[tex]M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]

Here, (P) is the principal amount, (r) is the interest rate and (t) is time.

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.

The table below shows the information about the two credit cards Brandon currently uses.    

Interest rate for the card a is,

[tex]r=\dfrac{13}{12\times100}=0.01083[/tex]

The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,

[tex]M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47[/tex]

In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,

[tex]P_a=19.47\times96=1869.12[/tex]

For the card B the monthly payment is $22.14. Thus the total payment by card B is,

[tex]P_b=22.14\times96=2125.44[/tex]

The difference in the payment is,

[tex]d=2125.44-1869.12\\d=256.12[/tex]

Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

Learn more about the monthly payment here;

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Answer:

C. 256.32

Step-by-step explanation:

Answer:

Miami

Step-by-step explanation:

First, you can either convert Miami's temperature to farenheit, or convert Chicago's temperature to celcius.

I will convert Miami's temp, to farenheit:

[tex]F=\frac{9}{5}C\°+32 < ==divide\\\\F=1.8C\°+32 < == substitute\ 35\° for\ C\\\\F=1.8(35)+32 < ==multiply\\\\F=63+32 < ==add\\\\F=95\°[/tex]

Miami: 95°F

Chicago: 75°F

Therefore, Miami is the warmer town.

Hope this helps!

Answer:

Should be 251.3 cm^3

Step-by-step explanation:

Use the formula for volume of cylinder

The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.

The tile's length is the longer side of a tile depending on the shape of the tile.

The length of the given tile is, 0.15 meter.

Length of the edge of he counter = 3 meters.

Number of tiles Hassan needs = 3/0.15

Number of tiles Hassan needs = 20 tiles.

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Answer: 20 tiles.

Step-by-step explanation:

The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.

What is a Tile's Length?

The tile's length is the longer side of a tile depending on the shape of the tile.

The length of the given tile is, 0.15 meter.

Length of the edge of he counter = 3 meters.

Number of tiles Hassan needs = 3/0.15

Number of tiles Hassan needs = 20 tiles.

Answer:

Step-by-step explanation:

5x^2 - 125 factors into 5 (x^2 - 25)

x^2 - 25 factors into  (x + 5)(x - 5)

So the answer to this part is 5(x + 5)(x - 5)

x^2 -  10x + 25 factors into

(x - 5)(x - 5)

So the HCF is (x - 5)

Answer:

27/5

Step-by-step explanation:

because If you do 5 2/5 = ? you get 27/5

Answer:

A dodecahedron has 12 sides

Step-by-step explanation:

Hope that helps!