The lengths of the sides of a triangle are represented by 3 consecutive even integers. if the perimeter of the triangle is 72 feet, find the lengths of its sides

Answers

Answer 1

P = a + b + c
P = 72
a = x
b = x + 2
c = x + 4

72 = x + x + 2 + x + 4
72 = 3x + 6
72 - 6 = 3x
66 = 3x
66/3 = x
22 = x

x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26

the sides of ur triangle are : 22,24,26 <==

Related Questions

How can I pass the Algebra 1 EOC?

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Pay attention in class, study, and don't procrastinate -- it's not worth it.

You just need to study try your beast and listening to your teacher cullarely

Which table represents a linear function?

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C hope it helpes!

:D!!

<3333

Answer

hope it helps

The number of heads that come up when a coin, biased so that heads comes up with probability 3/4, is flipped three times.

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so what's the question

which of the following equations describe the graph shown below?

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1) The square root of x+4 +1

Hope this helps!

plzz help me i hate word problems

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Unfortunately, I can't read it..about 42 grams should be the answer.

what is the slope of the line through (-7,-8) and (0,4)

Answers

the slope of the line would 12/7

Answer:

the slope of the line is 12/7

Step-by-step explanation:

The sum of two consecutive integers is 131. What are the integers?

Answers

x, x+1
x+x+1=131
2x+1=131
2x=131-1=130
x=130÷2 = 65
the integers are 65 and 66

Answer:

The Integers are 65&66

Step-by-step explanation:

Because I got correct with these awnsers

What is the probability of flipping heads with a biased coin?

Answers

That depends on what the bias of the coin is.

What rule can be used to find the next term of the arithmetic sequence

Answers

are you talking about PEMDAS? if so it’s parentheses, exponents, multiply, divide, add, subtract.

What conversion factor would you use to convert cubic decimeters to milliliters?

Answers

1 cubic decimeter equals 1000 milliliters.so 1cubic decimeter=1000milliliters. Hope i helped.

What is the justification for each step in the solution of the equation?

−2(x−1)+12=4x−6−2(x−1)+12=4x−6
Select from the drop-down menus to correctly justify each step.

−2(x−1)+12=4x−6−2(x−1)+12=4x−6 Given
−2x+2+12=4x−6−2x+2+12=4x−6
−2x+14=4x−6−2x+14=4x−6 Combine like terms.
−2x=4x−20−2x=4x−20
−6x=−20−6x=−20 Addition or Subtraction Property of Equality
x=206x=206
x=103x=103 Simplify.

Answers

Here are the following justifications:

Given: -2 (x-1) +12=4x-6

Distribute property = -2x+2+12=4x-6

Combine like terms= -2x+14=4x-6

Transpose = -2x = 4x – 20

Addition or Subtraction Property of Equality = -6x = -20

Division property of equality = x = 20/6

Simplify = x = 10/3

Answer:

Step-by-step explanation:

A student is attempting to simplify the expression below. Sample mathematical work is shown. Which statement best applies to the sample mathematical work?

Given xy+yx+x-3(x+y), I first apply the distributive property, which yields the expression xy + yx + x – 3x – 3y. I can then collect like terms: since x – 3x = –2x, I have the expression xy + yx – 2x – 3y as my final answer.
A.
The student failed to properly apply the distributive property.
B.
The student collected two or more terms that were not like terms.
C.
The student failed to collect all like terms.
D.
The mathematical work shown above is correct.

Answers

The answer is A) The student failed to properly apply the distributive property.

A red blinking light blinks every 18 seconds, while a yellow blinking light blinks every 12 seconds. If both lights start at the same time, after how many seconds will they next blink at the same time? A) 6 B) 18 C) 36 D) 54

Answers

In order to find the answer, you need to find the LCM, Least Common Multiple. The least common multiple of 18 and 12 is C. 36

Brainliest Please!!!

Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example

Answers

Yes, we can obtain a diagonal matrix by multiplying two non diagonal matrix.

Consider the matrix multiplication below

[tex] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] \left[\begin{array}{cc}e&f\\g&h\end{array}\right] = \left[\begin{array}{cc}a e+b g&a f+b h\\c e+d g&c f+d h\end{array}\right] [/tex]

For the product to be a diagonal matrix,

a f + b h = 0 ⇒ a f = -b h
and c e + d g = 0 ⇒ c e = -d g

Consider the following sets of values

[tex]a=1, \ \ b=2, \ \ c=3, \ \ d = 4, \ \ e=\frac{1}{3}, \ \ f=-1, \ \ g=-\frac{1}{4}, \ \ h=\frac{1}{2}[/tex]

The the matrix product becomes:

[tex] \left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}\frac{1}{3}&-1\\-\frac{1}{4}&\frac{1}{2}\end{array}\right] = \left[\begin{array}{cc}\frac{1}{3}-\frac{1}{2}&-1+1\\1-1&-3+2\end{array}\right]= \left[\begin{array}{cc}-\frac{1}{6}&0\\0&-1\end{array}\right][/tex]

Thus, as can be seen we can obtain a diagonal matrix that is a product of non diagonal matrices.

Yes, we can obtain a diagonal matrix by multiplying two non-diagonal matrices. A diagonal matrix is a matrix where all the elements beyond the diagonal are zeros. This is an example.
[tex] \left[\begin{array}{ccc}1&3&4\\0&-8&-9\\0&0&- \frac{55}{8} \end{array}\right] \cdot \left[\begin{array}{ccc}1&-3&- \frac{5}{8} \\0&1&- \frac{9}{8} \\0&0&1\end{array}\right] = \left[\begin{array}{ccc}1&0&0\\0&-8&0\\0&0&- \frac{55}{8} \end{array}\right] [/tex]

The sum of three consecutive even integers is –78. What are the integers? Describe how you would use the strategy of writing an equation to solve the given problem.

Answers

3 even integers

divide -78 by 3

-78 / 3 = -26

so -24 + -26 + -28 = -78

equation would be:

n + n+2 + n+4 = -78

3n +6 = -78

3n = -84

n = -84 / 3 = -28

n +2 = -28 +2 = -26

n+4 = -28 +4 = -24

x, x+1 , x+2
x+x+1+x+2 = -78
3x+3=-78
3x=-78-3= -81
x=-81÷3 = -9

the integers are -9, -8, -7

How many minutes will it take to drive 82 miles with the speed of 65 miles per hou?

Answers

time = distance / speed
time|hr = 82/65 hour
but 60minutes = 1hour. so
82/65 hr = 82/65×60 minutes = 75.7 minutes

FM = 5y + 13, MG = 5 - 3y, FG = ? M is the midpoint of FG. Use the given information to find the missing measure or value.

Answers

5y+13=-3y+5
8y=-8
y=-1
2FM=FG
-5+13-5+13=FG
FG=16

A line is a one-dimensional shape that is straight. The length of the side FG is 16 units.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given that FM = 5y + 13 and MG = 5 - 3y. Also, midpoint of the line FG is M, therefore, the length of the two segments FM and MG will be equal to each other.

FM = MG

5y + 13 = 5 - 3y

5y + 3y = 5 - 13

8y = -8

y = -8/8

y = -1

Now, the length of the two line segments will be,

FG = FM + MG

= 2y + 13 + 5

= 2y + 18

= 2(-1) + 18

= -2 + 18

= 16

Hence, the length of the side FG is 16 units.

Learn more about Line here:

https://brainly.com/question/21511618

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Simplify (x^2+5x+6)/(15xy^2)/(2x^2+7x+3)/(5x^2y)

Answers

Hi. I am attaching the step-by-step answer. I hope it helps.

Take care,
Diana

find the derivative of the given function at the indicated point f(x)=1/x a=2

Answers

Final answer:

The derivative of the function f(x) = 1/x at x = 2 is -1/4, found using the power rule of differentiation.

Explanation:

To find the derivative of the function f(x) = 1/x at the point where a = 2, we employ the power rule of differentiation. The function can be rewritten as f(x) = x-1. Applying the power rule (f'(x) = n*xn-1) to this function, the derivative is f'(x) = -1*x-2 or f'(x) = -1/x2. To find the derivative at x = 2, we simply substitute x with 2, giving us f'(2) = -1/22 = -1/4.

Louisa's savings change by -$9 each time she goes bowling.in all it changed by -$99 during the summer.how many times did she go bowling in the summer?

Answers

Divide -99 by 9 to find out how many times she went bowling. The answer comes out to be 11. She went bowling 11 times.

Answer:

She went 11 times.

Step-by-step explanation:

Given,

The change in saving in each time she goes bowling = -$ 9,

If she goes t times,

The change in saving for going t times = t × change in saving in each time

= t × -9

= -9t dollars,

According to the question,

-9t = -99

[tex]\implies t=\frac{-99}{-9}=11[/tex]

Hence, she went 11 times to bowling.

Walter is a comic book artist. He usually draws 36 comic panels each day. How many comic panels can he draw in 2 weeks.

Answers

There would be 14 days in two weeks so you need to multiply 36 x 14 = 504 comic panels in two weeks.

answer: 36 x 14 = 504
hope this helps:D

plz give brainiest

How to simplify equations with fractional exponents?

Answers

The general form for a term with fractional exponents is given as :

[tex]a^{ \frac{m}{n} }[/tex] which can be rewritten as [tex] (\sqrt[n]{a} )^m[/tex]

for example: [tex](x + 3)^ \frac{2}{3} =( \sqrt[3]{x+3})^2 [/tex]

Final answer:

To simplify equations with fractional exponents, divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms. Then multiply the numerators and denominators together and simplify by common factors if needed.

Explanation:

When simplifying equations with fractional exponents, we can follow these steps:

Divide the digit term of the numerator by the digit term of the denominator.Subtract the exponents of the exponential terms.Multiply the numerators and denominators together and simplify by common factors if needed.

For example, let's simplify the equation √(x³ / y²). We divide x³ by y², which gives us x/y. Then we subtract the exponents, resulting in √(x/y). Finally, we can simplify the fractional exponent by taking the square root of x/y, which gives us √(x/y).

What is the answer to the word problem a can of mixed nuts has 5 peanuts for every 2 cashews. there are 175 peanuts in the can. how many cashews are there?

Answers

175(peanuts) times 2(cashews)=answer
answer=350
hope this helps

Which point is on the graph of a direct variation equation in which k = 1.8? A. (4, 0.45) B. (7.2, 4) C. (4, 7.2) D. (0.45, 4)

Answers

The answer is B (7.2, 4).

Answer: C

(4, 7.2)

Step-by-step explanation: Just took this test

Calculus: Help ASAP
Using n = 4 equal-width rectangles, approximate the integral from negative 2 to 2 of the quantity x cubed plus 8, dx. Use the mid-point of each sub-interval to determine the height of each rectangle.

Answers

check the picture below.

Answer:

Step-by-step explanation:

To solve this, you need to start by finding the width of the rectangles and the midpoints. If n=4, b=2, a=-2, and the width of each triangle is delta x = b-a / n, then each width is equal to 1 and there will be four midpoints (you can also tell the amount of midpoints by n=4). These midpoints are -1.5, -0.5, 0.5, and 1.5. The height of each of the rectangles is going to be equal to f(x*k), where x*k is the specific mid point. This means that you need to find f(-1.5), f(-0.5), f(0.5), and f(1.5). When putting these into the function you will get 4.625, 7.875, 8.125, and 11.375. Seeing as the Riemann Sum formula says the summation of f(x*k) * delta x, multiply each of the heights by the width of 1 and then add all of the values together. When you do this you will get 4.625 + 7.875 + 8.125 +11.375 which all totals to 32. This means that the approximation of the given integral is 32.

Betsy, a recent retiree, requires $ 6 comma 000 6,000 per year in extra income. She has $ 60 comma 000 60,000 to invest and can invest in B-rated bonds paying 15 15% per year or in a certificate of deposit (CD) paying 5 5% per year. How much money should be invested in each to realize exactly $ 6 comma 000 6,000 in interest per year?

Answers

Let the amount she invests in the B-rated bonds be x, and the amount she invested in the certificate of deposit be y.

Then,

x + y = 60,000 . . . . . . . (1)
0.15x + 0.05y = 6,000 . (2)

Multiplying the first equation by 0.15 gives:

0.15x + 0.15y = 9,000 . (3)

Subtracting equation (2) from equation (3) gives:

0.1y = 3,000

y = 3,000 / 0.1 = 30,000

From equation (1):

x + 30,000 = 60,000

x = 60,000 - 30,000 = 30,000

Therefore, the amount of money that should be invested in each to realize exactly $6,000 in interest per year is $30,000 each.

eight out of ten dentists prefer crest toothpaste.what is the ratio of dentist who do not prefer crest to those who do.

Answers

It would be 2:10 or 2:8

8 do, 2 don't

so the ratio would be 2:8 which can reduce to 1:4

What is the result of factoring out the gcf from the expansion (24+36)?

Answers

So the greatest common factor of 24 and 36 would be 12.

So you could say,

12(2 + 3)

Break down each of the numbers

24=2*2*2*3
36=2*2*3*3

As seen, 12(2x2x3) is the greatest common factor amongst the numbers.

12(2+3)=(24+36)

Hope I helped :)

Simplify –2x3y × xy 2. A. –2x3y4 B. –3x4y3 C. –12x4y3 D. –2x4y3

Answers

The answer is B because you need too add like terms as well and I got -3x because you have too add all the x's together and then all the y's.

Add.
Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether?

a. 2 hours
b. 1 1/3 hours
c. 2 2/3 hours
d. 5 1/3 hours

Answers

Problem
Joe practiced his trumpet 3/4 of an hour on Monday and 7/12 of an hour on Tuesday. How long did he practice altogether?

Result
b. 1 1/3 hours.

Solution
We need to turn the fractions into time first. This is done with division, multiplication, and addition.

Let's divide and multiply

3/4 · 60 = 45
7/12 ·60 = 35

Let's add

45 + 35 = 80

From here, 80 is 60 + 20 minutes, or 1 and 1/3

Hope this helped!

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