5. Find the area of the triangle.
11 ft
5 ft
14 ft
13 ft

Answer:

Step-by-step explanation:

[tex] \sf \cfrac{8(x + 3)^{2} }{2(x + 3)} [/tex]

Cancel out 2(x+3) in both numerator and denominator:

[tex]\sf 4(x + 3)[/tex]

Use the distributive property to multiply 4 by x+3:

[tex]\sf 4x + 12[/tex]

》》》》》》》》》》》》》》

Hope this helps!!

Have a nice day

Answer:

J

Step-by-step explanation:

assuming the 2 is a squared s a*a is a2 2*a*-b is -2ab

and -b* -b is b2

Using combinations,  there are a total of 20 distinct voting combinations.

We now have five bands. We'll refer to them as A, B, C, D, and E.

John will choose two bands from the available five if he is required to vote for his favorite and second-favorite.

We must pair bands and discover every possible combination in order to determine the TOTAL number of different possibilities.

The results/totals are as follows:

AB, AC, AD, AE

BA, BC, BD, BE

CA, CB, CD, CE

DA, DB, DC, DE

EA, EB, EC, ED

Thus, there are a total of 20 distinct voting combinations.

Since you already know that each of the five initial bands (A, B, C, D, and E) will result in a multiple of four, you may accomplish it more simply without listing by taking the five bands.

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Answer:

B. )r ≤ −24. 32

Step-by-step explanation:

Answer:

140 degrees

Step-by-step explanation:

isosceles triangle   so two angles are equal    20 and 20

ALL of the angles sum to 180 degrees

20+ 20 + vertex = 180

vertex = 140°

Answer: p= -5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

carry the one over to the right side and subtract it to get an amount of -10.

then carry the -4p to the left and add it with -2p. which comes out to be 2p

now the equation reads as 2p=-10

continue to divide 2 to get p alone and divide -10 by 2 as well.

now p=-5 because a negative divided by a postive is a negative.

Answer:

  the trip represented by f(x) takes less time

Step-by-step explanation:

Given a table of time and distance to go, and a function f(x) = 210-60x representing the same for a different trip, you want to know which trip takes less time.

The table has values ...

  (time in hours, remaining distance in miles) = (1, 150), (2, 100), (3, 50)

This shows you the remaining distance decreases by 50 miles for every hour added to the travel time. That means the remaining 50 miles will be reduced to zero after 4 hours.

The trip represented by the table takes 4 hours.

The function f(x) = 210-60x will have a value of zero when ...

  0 = 210 -60x

  0 = 3.5 -x . . . . . . divide by 60

  x = 3.5 . . . . . . . . add x

The trip represented by the function f(x) takes 3.5 hours.

The second trip takes less time.

The number of days Henry can go on vacation is 7 days.

Given that, Henry knows it will cost $300 per day that he's on vacation plus $650 for miscellaneous activities.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of days be x.

Henry has $2750 dollars in his savings account.

So equation is 300x+650=2750

The obtained equation can be solved as follow

300x=2750-650

⇒ 300x = 2100

⇒ x = 2100/300

⇒ x = 7

Therefore, the number of days Henry can go on vacation is 7 days.

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Answer:

x=0.4

Step-by-step explanation:

Put both equations equal to each other:

16x+2=7x+6

Now, Solve:

16x+2=7x+6   Set the equation

16x-7x=6-2     Move like terms together

9x=4              Subtract like terms

x=4/9             Simplify

x=0.4             Answer

Answer: because it is out of 12

Step-by-step explanation:

Width of the rectangle is 2.5, Length is 10 and perimeter is 25

Given

Length of rectangle is 5 greater than double of width

let us say width = w

According to the question length L = 5 + 2w

Perimeter is 10 times the width

P= 10w

we know that perimeter of a rectangle is 2(L+W)

Substituting the values in the formula we get

10w = 2(5+2w + w)

10w = 10 + 6w

w= 2.5

From this length L = 5+2(2.5)

                            L = 10

Perimeter P = 10W

P= 10(2.5)

P= 25

Hence the length is 10, width is 2.5 and perimeter is 25

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Answer:

x = 7

Step-by-step explanation:

3x + 9x = 6x +42

12x = 6x +42

12x - 6x = 6x -6x +42

6x = 42

[tex]\frac{6x}{6} = \frac{42}{6}[/tex]

x = 7

Answer: 9 units to the right and 5 units down

Step-by-step explanation:

1) Measure the length.

You can find that you can match point C with point W. Next find how much it goes to the right and left.

Right from (C->W): 9 squares

Down from (C->W): 5

2) Fill in the blank

9 units to the right and 5 units down

Answer:

ΔABC ≅ ΔNKW because when ΔABC is translated 9 units right and 5 units down, it results in the other triangle.

Step-by-step explanation:

The triangles are congruent as the measures of their corresponding sides and angles are the same.

To determine the translation of ΔABC to ΔNKW, find the change in the x and y values from one of the points of ΔABC to its corresponding point of ΔNKW.

Therefore:

ΔABC ≅ ΔNKW because when ΔABC is translated 9 units right and 5 units down, it results in the other triangle.

Equation of a line in the standard form that passes through the points (3, 0) and (0, -2) will be [y = (2/3)x - 2].

As per the question statement, a straight line passes through the points (3, 0) and (0, -2).

We are required to determine the equation of the above mentioned line in it's standard form.

To solve this question, we need to know the formula to write the standard equation of a line passing through two points (x₁, y₁) and (x₂, y₂) which goes as [tex][(y-y_{1})=\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}(x-x_{1})][/tex].

Here, let (x₁, y₁) be (3, 0) and (x₂, y₂) be (0, -2).

Therefore, equation of our concerned line passing through the two points (3, 0) and (0, -2), by substituting [(x₁, y₁) = (3, 0)] and [(x₂, y₂) = (0, -2)] in the above mentioned formula, will be [(y - 0) = {(-2 - 0)/0₂ - 3)}(x - 3)]

Or, [y = {(-2)/(-3)}(x -3)]

Or, [y = (2/3)(x - 3)]

Or, [y = (2/3)x - 2]

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1. 8/3
2. 16/3
3. 123

*some words for 20 symbols*

The probability for at least one white gumball is 0.196

Consider the following:

First jar:100 whites, 25 green

Total=100+25

       =125 gumball

P(White)=100/125=0.8

Second jar:50 whites, 150 blue

Total=50+150

       =200 gumballs

P(White)=50/200=0.25

Third jar:500 whites, 10 red

Total=500+10

         =510

P(White)=500/500=0.98

Now, probability for at least one white is

              =P(white in jar 1)*P(white in jar 2)*P(white in jar 3)

              =0.8*0.25*0.98

              =0.196

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The time period in years T = 4 years

The simple interest amount = $252

The rate of interest per year as percentage  = 7%

The principal amount = $900

The simple interest I = PTR

Where I is the interest amount

P is the principal Amount

T is the time period involved in years

R is the rate of interest per year as a percent

Substitute the values in the equation

252 = 900 × T × (7 / 100)

252 = 900 × T × 0.07

252 = 63 × T

Move the 63 to other side

T = 252 / 63

T = 4 years

Hence, the time period in years T = 4 years

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Answer:

you can use the angle addition postulate I think that's what it's called

Answer: y = 1/9

Step-by-step explanation:

7/3y=21

7= 21 x 3y

7/21 = 3y

1/3 = 3y

1/9 = y

Answer:

2y + 1 maybe??????

Step-by-step explanation:

hope its correct if not please tell me

Answer:

1. x = 0 , x = 3

2. x = -2 , x = 2

3. (x - 1)²

Answer:

$0.84

Step-by-step explanation:

To solve this problem, divide 6.72 by 8.

6.72/8=0.84

It costs $0.84 per inch.

Hope this helps! :D

y=1.5x+3

Observing the graph

Let,

A(0,3) -----> this point is the y-intercept of the line

B(2,6)

We know that

The equation of the line into slope intercept form is equal to

y = mx + c

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

b=3

Find the slope of the line m

The formula to calculate the slope between two points is equal to

m = y2-y1 / x2-x1

substitute the values

m = 6-3 / 2-0

m = 3/2

m = 1.5

The equation of the line is

y= 1.5x+3

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Answer:

=============================

We can observe that:

1. AB and CD are horizontal segments, since both endpoints have same y-coordinates:

2. AB and CD are of same length:

It means the ABCD is a parallelogram, since two opposite sides are parallel and of same length.

The area of parallelogram is:

We know the length of the base, it is found above, 2 units.

The height is the difference of y- coordinates:

The area is:

Answer:

8x−3y=−24

Step-by-step explanation:

A) g(6)

g(6) = 8 -2.5*6

g(6) = 8 - 15

g(6) = -7

B) g(0)

g(0) = 8 -2.5*0

g(0) = 8 - 0

g(0) = 8

C) g(-6)

g(-6) = 8 -2.5*-6

g(-6) = 8 + 15

g(-6) = 23

The number of tacos sold in August, September and October is 103, 206, 618 respectively.

Let the number of veggie tacos sold by Tina in October be x

Then, number of veggie tacos sold in September is twice that of veggie tacos sold in october = 2x

Number of veggie tacos sold in August is thrice that of veggie tacos sold in September = 3 x 2x = 6x

Total veggie taco during the three months by Tina = 927

6x + 2x + x = 927

9x = 927

x = 927/9

x = 103

Tacos sold in August = 6x =  618

Tacos sold in September = 2x = 206

Tacos sold in October = x =103

Therefore, the number of tacos sold in August, September and October is 103, 206, 618 respectively.

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In this question, we have been given a piggy bank contains 2.65$ in nickels and dimes. Then There are 29 nickels and 12 dimes in the piggy bank.

We need to find the number of nickels and dimes if the number of nickels is 7 less than three times the number of dimes.

Let x be the number of nickels and y be the number of dimes.

We know that, 1 dollar = 20 nickels

and 1 dollar = 10 dimes

So, we get an equation

0.05x + 0.1y = 2.65                   ...........(1)

Also the number of nickels is 7 less than three times the number of dimes.

x = 3y - 7                      .................(2)

Substitute above value of x in equation (1)

0.05(3y - 7) + (0.1)y = 2.65

0.15y - 0.35 + 0.1y = 2.65

0.25y = 2.65 + 0.35

0.25 y = 3

y = 12

Substitute above value of y in equation  (2)

x = 3(12) - 7

x = 29

Therefore, there are 29 nickels and 12 dimes in the piggy bank.

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