A triangle has sides represented by 9, x, and x + 2. If the
perimeter is 35, find the length of the longest side.

A Triangle Has Sides Represented By 9, X, And X + 2. If Theperimeter Is 35, Find The Length Of The Longest

Answers

Answer 1

Answer:

14.

Step-by-step explanation:

1) if the sides of the given triangle are 'a'=9, 'b'=x and 'c'=x+2, then its perimeter can be written as: P=a+b+c or P=9+x+x+2;

2) if according to the condition P=35, then 9+x+x+2=35;

2x=24; ⇒ x=12;

3) if x=12, then a=9; b=12 and 14;

4) finally, c=14 - the required longest side.


Related Questions

Please help asapppppp!!!!!

Answers

Answer:

x is 8.2 I think hold on

yeah I think

What is the slope of the line through (-10, 1) and (0, -4)?

Answers

Answer:

-1 / 2.

Step-by-step explanation:

The Slope of a line when given two points:

First establish the two points as (X1, Y1) and (X2,Y2)

you can decide which point is (X1, Y1) and which point is (X2,Y2) in any order

So I choose (X1, Y1) = (-10,1) and (X2,Y2) = (0,-4)

Next use this equation to find the difference in rise/run (rise over run): (Y2 - Y1) / (X2 - X1)

Now we're ready to solve by plugging in our points: ( (-4) - 1 ) / ( 0 - (-10) ) **DON'T FORGET negatives attached to numbers when plugging in**

Solve: (-5) / 10 = -5 / 10 or -1 / 2 reduced by taking out a 5 from top and bottom. So your slope is equal to -1 / 2.

Answer:

-1/2

Step-by-step explanation:

30 points! "A triangle with the side lengths of these numbers can not exist: 9, 3, and __?"

Answers

Answer:

A triangle with the side lengths of these numbers can not exist: 9,3 and 6

Step-by-step explanation:

hope it helps

Step-by-step explanation:

Let the third side be x

We know that

Sum of two sides of a triangle must be greater than the third side

So,

9 + 3 > x

12 > x (1)

Also, difference of two side of triangle must be smaller than the third side

9 - 3 < x

6 < x (2)

From 1 and 2 we concluded

6 < x < 12

The length of third side would lie between 7 to 11

can somebody help me put them in the right spot?

Answers

Step 1: Divide both sides by two.

(As shown where 12x - 6 = 10 becomes halved to become 6x – 3 = 5)

Step 2: Add 3 to both sides.

(The 3 is brought to the other side to add to 5, becoming 8)

Step 3: Multiply both sides by 1/6.

(aka dividing both sides by 6, to get the fraction 8/6 which can be simplified to 4/3.)

1 point
4.) Tom's goal is to save an average of $55 a week for six weeks. For the
first five weeks he saved 45, 60, 25, 50, 55. What is the smallest amount he
can save in week 6 to meet his goal?
80
55
95
65

Answers

The answer to the question is $95

Determine the total number of roots of each polynomial function.

f (x) = (3x4 + 1)2

Answers

Answer:

It’s not allowing me to place done the work but the answer is 8 sorry!

4. A certain bacteria strain of E. coli divides every 30 minutes. If 500 bacteria are presen
in the culture to start, how many are in the culture after 3 hours?

Answers

Answer:

assuming its dividing by two, 7.8135

Step-by-step explanation:

if you're dividing by something else the answer will be different. hope this helps

What is the answer

80x+56=100​

Answers

Answer:

Ur answer buddy

The equation80x+56=100

First, solve like this80x = 100 - + 56

U have to know the formula

- + = -

+ + = -

- - = +

+ - = +

So, The answer is

80x = 44

Now , we have divide

80/44 = 40/22 = 20/11= 1.8182.

what is 1029384756 x55 pls help

Answers

Answer:

1029384756 x 55

= 56616161580

Is the relationship for Olivia’s puppy’s weight in terms of time linear or nonlinear? Explain your response.

Answers

Answer:

Olivia's puppy is linear i know this because after applying to the graph i got a straight line.

Step-by-step explanation:

Answer:

When looking at the table you can see that for every increase of 1 in the x value it results in an increase of 1 in the y value. The rate of change is constant.

Rate of change is calculated by the change in y/change in x

For the points (1,2), (3,3) and (5,4) the rate of change calculation would be as follows:

(1, 2)(3, 3)

3-2 / 3-1= 1/2

(3, 3)(5, 4)

4-3 / 5-3= 1/2

Since both equal 1/2 the rate of change is constant therefore making it linear.

Step-by-step explanation:

P = 6 ft. Find the length of side H.



3.5 ft
3 ft
2 ft
2.5 ft

Answers

Answer:

The answer is 2.5 ft.

Step-by-step explanation:

Using Pythagoras theorem, let's find 'H'.=> H² = 2² + 1.5²=> H² = 4 + 2.25=> H² = 6.25=> √H² = √6.25=> H = 2.5

Conclusion:

Therefore, the answer is 2.5 ft.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Solve for x for 1 and 2

Answers

Answer:

1. 37.5

2. 8

Step-by-step explanation:

1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.

this means that 16/46 = 20/(x+20)

then, just solve that for x

16/46 = 20/(x+20)

divide both sides by 4

4/46 = 5/(x+20)

multiply both sides by (x + 20)

(x+20) * 4/46 = 5

multiply both sides by 46

4x + 80 = 230

subtract 80

4x = 150

divide 4

x = 37.5

2. do the same thing ( still similar triangles)

the equation would be (3x + 1)/10 = (7x - 1)/22

solve

22(3x + 1) = 10(7x - 1)

66x + 22 = 70x - 10

32 = 4x

x = 8

Find the value of x so that the ratios are equivalent.

9:x and 54:8

Answers

Answer:1.33 (Repeated decimal)

Step-by-step explanation: Since 54/9 would give you 6, that would mean the scale factor would be 6. That means x multiplyed by 6 would give you 8. So, you would do 8/6 which would give you 1.333 (Repeated decimal) and this is your answer.

(PLEASS HURRY IM BEING TIMED)

(05.03 MC) Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul's eyes, the mirror, and the ground are congruent as shown in the image below: What is the height of the house? Show your work and explain your reasoning in complete sentences. (10 points) Edit View Insert Table Format Tools 12pt v Paragraph v B B I U Av 2 T?v:



(Giving Brainliest)​

Answers

Looks like you have 2 similar triangles.

all the angles from one triangle are congruent to all the angles from the other triangle.

The sides must be proportional.

Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.

Cross multiply h to get 6*25 = 5*x.

Divide both sides of the equation by 5 to solve for x to get:

x = 6*25/5 = 6*5 = 30.

Marcus mixing blue paint and yellow paint the ratio of 2 to 3 to make a red paint he wants to make 45 L of repaint he began to make a table tell him thing about the problem but it’s not sure what to do next marks for in a man is also mixing paint if she wants to make sure paint by mixing 2 cups of blue hey with 4 cups of prepare amendments are Peyton is left with 48 cups of purple how many more cups of red paint did she use the blue paint

Answers

Answer:

do you have any image of the question? If yes please pose here.

Answer:

See below:

Step-by-step explanation:

I'm sorry, I don't think I understand the question. Could you put periods in the sentence or maybe write out the questions on individual lines? Thanks.

100 people planned to run to raise funds for a charity. Twenty percent of them ran 3 miles, two-fifth ran 6 miles, and the rest ran 9 miles. For every mile run, they raised $20. What was the total amount raised for the charity?

Answers

Answer:

$13,200

Step-by-step explanation:

20*3=60*20=1200

40*6=240*20=4800

40*9=360*20=7200

1200+4800+7200=13200

ANSWER:

360

Step-by-step explanation:

cupcakes The equation y = 2x models the cost for cookie orders from the Dotted Box Bakery, where x is number of cookies and y is cost in dollars. What is the cost per cookie? ​

Answers

Answer:

y=-4x+16

Step-by-step explanation:

5x+1.25=20

y=4x

5x+1.25y=20       y=4x

1.25y=-5x+20

1.25y/1.25=-5x+20/1.25

A person jogs 780 meters south and
then 360 meters west.
What is the magnitude of the
person's resultant vector?

Answers

Answer: Approximately 859.06926 meters

Explanation:

Draw a right triangle. The vertical leg is 780 meters and the horizontal leg is 360 meters. The hypotenuse represents the magnitude of the resultant vector. Use the pythagorean theorem to find it.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

c = sqrt( 780^2 + 360^2 )

c = 859.06926

The distance from the original starting point to the finish line is roughly 859.06926 meters.

estimate 417 x 63 equals to

Answers

Answer:

24000

Step-by-step explanation:

400 can be rounded to 400 and 63 can be rounded to 60

400x60=24000

your exact product would be 26271

hope this helps

I need help and I can’t find any sadly. Help!!

Answers

Answer:

Step-by-step explanation:

for 1. The addition property of equality esssentially means that if you were to add/subtract the same value to both sides of the equation, the equation would remain equal. this would be associated with 3. since adding 12 to both sides would give x on one side and 16 on the other which is equal to x=16

for 2. "given" just means the problem, so it is the 1st option. it just means "given the problem..."

for 3. collectiing like terms is the addition of -5x +6x. since they are on the same side eof the equation, and are in the same measurements (of x) they can be combined to eqaul positive x, this is represented by option 2

Need help desperately

Answers

Answer:

a) 4cd²

b) 3a²b³

Step-by-step explanation:

a) 8c⁴d⁵/2c³d³

1: you would divide the 8 by 2

2: subtract the exponents on c so it would be 4-3 = 1

3: subtract the exponents on d so it would br 5-3 = 2

4: put it all together so it would be 4c¹d² but you dont need the 1 above c

b) 1: divide 9 by 3

2: subtract exponents on a so it would be 3-1 = 2

3: subtract exponents on b so it would be 5-2 = 3

4: put it all together so it would be 3a²b³

hope this helped!! :)

         

                              Answer:

a.   4cd²       b.  3a²b³

Step-by-step explanation:

        [tex]\frac{8c^4d^5}{2c^3d^3}[/tex]

 =    [tex]\frac{8}{2} ( \frac{c^4}{c^3} )(\frac{d^5}{d^3})[/tex]  

  =     [tex]\frac{4}{1} (\frac{c}{1}) (\frac{d^2}{1} )[/tex]    Reduce number.  Substract exponent largest power

                           smallest power  

   =   4cd²  

b.    [tex]\frac{9a^3b^5}{3ab^2}[/tex]

        [tex]\frac{9}{3} (\frac{a^3}{a} ) (\frac{b^5}{b^2} )[/tex]

        [tex]\frac{3}{1} (\frac{a^2}{1}) (\frac{b^3}{1} )[/tex]       Reduce number.  Substract exponent largest power

                              smallest power  

    = 3a²b³

Determine whether the quadratic function shown below has a minimum or
maximum, then determine the minimum or maximum value of the function.
f(x) = –2x2 - 4x-8

Answers

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

1

,

6

)

(

-

1

,

-

6

)

Focus:

(

1

,

49

8

)

(

-

1

,

-

49

8

)

Axis of Symmetry:

x

=

1

x

=

-

1

Directrix:

y

=

47

8

y

=

-

47

8

x

y

3

14

2

8

1

6

0

8

1

14

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

1

,

6

)

(

-

1

,

-

6

)

Focus:

(

1

,

49

8

)

(

-

1

,

-

49

8

)

Axis of Symmetry:

x

=

1

x

=

-

1

Directrix:

y

=

47

8

y

=

-

47

8

x

y

3

14

2

8

1

6

0

8

1

14

Step-by-step explanation:

can i please have help with this question branliest for the correct answer

Answers

Answer:

y = -4x+2

Step-by-step explanation:

To find a perpendicular line, the slope would be -4.

y=-4x

Since the point it has to go through is (0,2), the y-intersept is already given.

y = -4x+2

what is the sum of x+8

Answers

Answer:

8 + x

Step-by-step explanation:

you can't combine unlike terms so the equation remains the same, but you should always put integers before variables and coefficients

8+x because it just is

The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is

(0,2)
(0.5, 1.5)
(-1,0)
(2,0)

Answers

See below

[tex]\\ \sf\Rrightarrow y=-x+2[/tex]--(1)

[tex]\\ \sf\Rrightarrow y=x+1[/tex]--(2)

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

(x,y)=(0.5,1.5)

What is 2+2+?+10+?-2+9=?

Answers

[tex]2+2+x+10+x-2+9=x\\2+2+x+10+x-2+9 -x=0\\(2+2+10-2+9)+(x+x-x)=0\\21+x=0\\x=-21[/tex]

ANSWER: ? = -21

P/s: ? = x < let ? is x >

ok done. Thank to me :>

Answer:

The answer can be 25 or higher.

Step-by-step explanation:

This is because I added: 10+9=19+2+2+2=25. Then we have 2 ? marks. There are + signs next to them so the answer is 25 or higher.

Help help help math math

Answers

Answer:

V = 4000 ft³

Step-by-step explanation:

if diameter is 20 then radius is half that, or 10

use formula:

V = 4/3(3)(10)³

V = 4(10)³

V = 4(1000)

V = 4000 ft³

Look at the equation 14n=98 work out the value of 14(n+1)

Answers

Answer:

The value of 14(n+1) is 112.

Step-by-step explanation:

14n=98

n=98/14

n=7

-------------

14(n+1)=14(7+1)=14(8)=112

I don’t understand this question

Answers

Answer:

1/64

Step-by-step explanation:

Answer: that would be 1/64

Step-by-step explanation:

for this type of question you put it 1/ such as:[tex]\frac{1}{8*8}[/tex] i got 8*8 because of The 8^2

and 8*8=64 therefor the answer is 1/64

*you put it over 1 to get rid of the negative exponents*

At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression

Answers

Answer:

It would be 9.6 inches after 4 weeks.

The expression you would use is  5 + 2.5 × ww = ?

Step-by-step explanation:

At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression.

So the sunflower was 5 inches tall to start off.

First you need to do 2.5 times 4.

Which is 9.6 inches after 4 weeks.

The expression you would use is.

5 + 2.5 × ww = ?

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