The perimeter of the triangle is 13 inches. What is the length of the shortest side?

The Perimeter Of The Triangle Is 13 Inches. What Is The Length Of The Shortest Side?

Answers

Answer 1

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]

Solve to find the value of x

[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]

[tex] \frac{3x + 2}{2} = 13 [/tex]

Multiply both sides by 2

[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]

[tex] 3x + 2 = 26 [/tex]

Subtract 2 from both sides

[tex] 3x + 2 - 2 = 26 - 2 [/tex]

[tex] 3x = 24 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{24}{3} [/tex]

[tex] x = 8 [/tex]

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in


Related Questions

CAN SOMEONE PLEASE HELP. SEGMENTS GEOMETRY

Answers

Answer: 30

We will 5x+3x=48 simplified it’s 8x=48 divide 8 from both sides and get x=6 plug it in
RS= 5(6)= 30

You pay $30 each month for satellite TV, plus $2.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $45. What is it in an equation and how many movies do you purchase. Im on a timed thing so please be speedy

Answers

Answer:

6 movies

Step-by-step explanation:

45-30=15 spent on movies

divide the 15 by 2.5 to get 6.

$30+$2.50m=$45

where m is the amount of movies

Answer:

let he purchaseed x movies

30 + 2.5x = 45

or 2.5x = 15

x=15/2.5 =6

Step-by-step explanation:

Solve the equation
6 - ( 3 - c ) = 2

Answers

Answer:

c = -1

Step-by-step explanation:

6 - (3 - c) = 2

6 - 3 + -(-c) = 2

3 + c = 2

c = 2 - 3

c = -1

Check:

6 -(3-(-1)) = 2

6 - (3+1) = 2

6 - 4 = 2

Answer:

C=-1

Hope this helped! :) if it was correct please give me brainliest!

help please thanks.

Answers

Answer:

it would be -18 then 17 cause u distribute the negative sign

mason makes homemade pizza sauce. the recipe calls for 5 ounces of tomato sauce for every 1/4 teaspoon of garlic. what is the rate in ounces of tomato sauce per teaspoon of garlic that mason uses?

Answers

Answer:

Sauce requires milk, cheese, red potatoes

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 .

Answers

Answer:

Answer:

AB=4

Step-by-step explanation:

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

With this, we will found that the distance between A and B is: 4 units.

The first thing we need to do is find A and B.

We know that the points are the intersection between the two parabolas.

y = -x^2 + 9

y = 2*x^2 - 3

The intersection is given by the zeros of the difference:

(2*x^2 - 3) - (-x^2 + 9) = 0

3*x^2 -12 = 0

3*x^2 = 12

x^2 = 12/3 = 4

x = √4 = ±2

To find the points, we need to evaluate one of the parabolas in these two x-values.

Let's use the first one:

y = -(2)^2 + 9 = 5

So we have the point (2, 5)

For the other point:

y = -(-2)^2 + 9 = 5

So we have the point (-2, 5)

Then we can define:

A =  (2, 5)

B = (-2, 5)

Using the distance equation we get:

[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]

The distance between A and B is 4.

If you want to learn more, you can read:

https://brainly.com/question/12082741

If p(x) = 5(22 +1) + 16, what is the value of p(11)? O A. 690 O B. 736 O C. 622 O D. 626​

Answers

Answer: 626

Step-by-step explanation:

Help me pleaseeeeeeeeeeee

Answers

Answer:

1. NO

2.yes

3.yes

4.no

5.no

Step-by-step explanation:

I think these are the answers. Hope this helps

The expression (x16)(x−5)2 is equivalent to xn. What is the value of n? -160 42 13 6

Answers

Answer:

160

Step-by-step explanation:

Just add lol fjfjfjfjjd

If he watches all the movies that are 1 3/4 hours long how long will it take

Answers

It will take 10 and 30 mins

Jeremy, Alicia and Edgar are playing a game where the object is to get
closest to zero points. If Jeremy has -250 points, Alicia hos -150 points and Edgar
has 300 points, who is the winner

Answers

Answer:

Alicia!

Step-by-step explanation:

-150 is closer to the number 0 than -250 or 300. :D

What is (2a^3 b^4 c^3)^2 • (4a^2 bc^3)

Answers

Answer:16 a 8 9 c 9

Step-by-step explanation:

Maggie owes the candy store $35. Each of 5 friends will help her pay off her debt. How much will each friend pay?

Answers

Answer: $5

Step-by-step explanation:

1)Take the total amount of money divided by the number of friend like this:

35/5

2)You should get $5 which is the amount of money that each friend will have to pay.

Answer:

5

Step-by-step explanation:

$35 divided by 5 friends = $5 per person

Tessa works for the park service in her town. She paid $21 for 3/4ton of wood chips to cover flower beds in the park. She want to know the cost of the wood chips on dollars per ton. What is the price per ton?

Answers

Answer:28

Step-by-step explanation:

The cost of the wood chips on dollars per ton is $28.

Given that, Tessa paid $21 for 3/4 ton of wood chips to cover flower beds in the park.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Let the cost of the wood chips on dollars per ton be x.

Now, the cost of the wood chips on dollars per ton = Cost of 3/4 ton of wood chips to cover flower beds in the park ÷ 3/4

x = 21 ÷ 3/4

= 21 × 4/3

= 28

Therefore, the cost of the wood chips on dollars per ton is $28.

To learn more about the unitary method visit:

https://brainly.com/question/22056199.

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Which number has a 3 that is 10 times greater than the 3 in 513?

Answers

Answer:

30

Step-by-step explanation:

The 3 in "513" is only 3. it's 1, 2, 3. If we do 3 x 10 it's 30.

3 x 10 = 30.

"times greater" means multiplication if you were confused about it.

Hope this helps! Have a nice day!

Place values are used to represent the value of digits in a given number. The number that has a 3 that is 10 times greater is 30.

Given that:

[tex]Number = 513[/tex]

We make the following observations in 513

513 does not have decimalsThe 3 in 513 is the rightmost digit.

The rightmost digit in a non-decimal number is the unit digit. So, the value of 3 in 513 is:

[tex]Value = 3 \times unit[/tex]

Unit means 1. So:

[tex]Value = 3 \times 1[/tex]

[tex]Value = 3[/tex]

So, the value of 3 in 513 is 3.

Let the other number be x.

x is 10 times greater than 3 means that:

[tex]x = 10 \times 3[/tex]

[tex]x = 30[/tex]

Hence, the number is 30

Read more about place values at:

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variable definition?

Answers

the number beside the letter . for example 6x, 6 would be the variable

‼️please help‼️ Find the coordinates of R if N(8,-3) is the midpoint of RS and S has coordinates (-1,5)

Answers

Answer:

(17, -11)

Step-by-step explanation:

Please see the attached picture for full solution.

There are nine water bottles in​ Devin's refrigerator. He adds three full boxes of water bottles to the refrigerator. Then he adds two more boxes that each has 1 fewer bottle than a full box. When he is​ done, there are 67 bottles in the refrigerator. Write and solve an equation to find the number of bottles in a full box.
Write the equation.

Answers

Answer:

There are 12 bottles of water in a full pack.

Step-by-step explanation:

look at screen shot for answer.

4465/1000 in simplest form?

Answers

Answer:

893/200

Step-by-step explanation:

The GCM (greatest common factor) is 5

Divide both the numerator and denominator by 5

4465/5 = 893

1000/5=200

So the answer is 893/200

Is 3x + 3x​ 2​= 6x​ 3​ ? Explain.

Answers

Answer:

No

Step-by-step explanation:

It is not, because we can only add the terms that contain x of the same order.

For x to be grouped with x 2 resulting in x 3 the terms would have to be multiplying

In this case they are grouped

x * x 2 = x 3

In this case they are not grouped

x + x 2 = x + x 2

Graph the line
y-3x= 3​

Answers

(-1, 0) (0, 3)
these are the coordinates for the graph

Use the distributive property to multiply -3(-2 3/10). A. (-3)(-2) + (-3) (-3/10) B. (-3)(-2) + (-3/10) C. (3)(3/10) + (-3/10) D. (3 + 3/10)(-3 + (-2))

Answers

Answer:

[tex]A.\ (-3)(-2) + (-3)(3/10)[/tex]

Step-by-step explanation:

Given

[tex]-3(-2 - 3/10)[/tex]

Required

Simplify

[tex]-3(-2 - 3/10)[/tex]

Apply Distributive Property;

This simply means that; we expand the bracket;

So, we have;

[tex]= (-3)(-2) + (-3)(3/10)[/tex]

From the list of given options, option A answers the question

Answer:

A

Step-by-step explanation:

I took the quiz

Rajeev has three times the number of oranges as
Sanjeev. Together, they have 28 oranges.
How many oranges does Sanjeev have?

Answers

Answer:

7

Step-by-step explanation:

let sanjeevs no of oranges be x

rajeevs no of oranges=3x

total=4x=28

x=28/4

=7

sanjeevs oranges=7

while rajeevs oranges=3*7

=21

What is the slope of a line passing through points (-7,5) and (5,-3)?

Answers

Answer:

- 2/3

Step-by-step explanation:

x + x + 1 + 2 = 48? ​

Answers

Step-by-step explanation:

x + x + 3 = 48

2x = 48 - 3

2x = 45

x = 45/2

Answer:

x = 45/2

Step-by-step explanation:

x+x+1+2 = 48

combine like terms

2x + 3 = 48

2x - 3 = -3

     2x = 45

  2x/2 = 45/2

       x = 45/2

f(x) = 3(x-4)2-2
Pls help me solve

Answers

Answer:

x = 13/3

Step-by-step explanation:

Solve for x:

3×2 (x - 4) - 2 = 0

Hint: | Multiply 3 and 2 together.

3×2 = 6:

6 (x - 4) - 2 = 0

Hint: | Distribute 6 over x - 4.

6 (x - 4) = 6 x - 24:

6 x - 24 - 2 = 0

Hint: | Group like terms in 6 x - 24 - 2.

Grouping like terms, 6 x - 24 - 2 = 6 x + (-24 - 2):

6 x + (-24 - 2) = 0

Hint: | Evaluate -24 - 2.

-24 - 2 = -26:

6 x + -26 = 0

Hint: | Isolate terms with x to the left hand side.

Add 26 to both sides:

6 x + (26 - 26) = 26

Hint: | Look for the difference of two identical terms.

26 - 26 = 0:

6 x = 26

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 6 x = 26 by 6:

(6 x)/6 = 26/6

Hint: | Any nonzero number divided by itself is one.

6/6 = 1:

x = 26/6

Hint: | Reduce 26/6 to lowest terms. Start by finding the GCD of 26 and 6.

The gcd of 26 and 6 is 2, so 26/6 = (2×13)/(2×3) = 2/2×13/3 = 13/3:

Answer:x = 13/3

can someone help me answer this

Answers

Answer:

8m + 5/m -10 m^2

Step-by-step explanation:

24m^4 / 3m^3 = 8m

15m^2 / 3m^3 = 5/m

- 30m^5 / 3m^3 = -10m^2

Putting these back together

8m + 5/m -10 m^2

A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round y
answers.

Answers

Answer: The car is going 1.55 miles per minute.

Step-by-step explanation: Since there are 60 minutes in an hour, and the car is going 93 mph, you would simply divide 93 by 60.

The car's rate in miles per minute  is 1.55 miles.

The car will travel 23.25 miles in 15 minutes.

What is Speed- Distance Formula?Speed = Distance/Time Distance = Speed X TimeTime = Distance / Speed

Given:

A car is traveling at a rate of 93 miles per hour.

In 60 minutes the car travel = 93 miles

So, In one minutes the car travels = 93 /60

                                                         = 1.55 miles

and, In 15 minutes the car travel = 1.55 x 15

                                                      = 23.25miles

Learn more about Speed- Distance Formula here:

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2. A line or line segment perpendicular to a line segment at the midpoint of the segment is a...

Answers

Answer:

A segment is called a perpendicular bisector of another segment if it goes through the midpoint and is perpendicular to the segment. While there can be many segments that bisect another segment, only one segment can be the perpendicular bisector.

Step-by-step explanation:

perpendicular bisector

If m = 2 and b =-6, what is the correct slope intercept equation?

Answers

Answer:

y=3x+6

Step-by-step explanation:

Answer

Y=3x+6

Explanation:
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