The length of the sides of a triangle are in the ratio 3:5:7. The difference between the longest side and the shortest side is 24cm. What is the perimeter of the triangle?​

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Answer:

  x ≈ -17.457  or  11.457

Step-by-step explanation:

The distance formula can help.

  d = √((x2 -x1)² +(y2 -y1)²)

Substituting given values, we have ...

  15 = √((x -(-3))² +(9 -5)²)

  225 = (x +3)² +16 . . . . . . . . square both sides

  209 = (x +3)² . . . . . . . . . . . subtract 16

  ±√209 = x +3 . . . . . . . . . take the square root

  -3 ± √209 = x . . . . . . . . subtract 3

  x ≈ -17.457  or  11.457

Answer:

B

Step-by-step explanation:

The Rate of Change for g(x) is less, as it has a slope of -3, while f(x) only has a slope of -2.

Answer:

I think u got yr question incomplete

there is no any equation

Answer:

a

Step-by-step explanation:

Answer:

(-1.5, -1)

Step-by-step explanation:

Here, you would essentially find the respective means of the x and y coordinates.

For x:

(-1 + (-2)) = -3

[tex]\frac{-3}{2}[/tex] = -1.5

For y:

(-4 + 2) = -2

[tex]\frac{-2}{2} \\[/tex] = -1

Thus, the midpoint would be (-1.5, -1)

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Explanation:

Let a = 4 and b = 18 be the two known sides of the triangle.

Let c be the remaining side

We'll use a version of the triangle inequality theorem to set up the possible range of values for c.

The range of values for c is determined by the following

b-a < c < b+a

18-4 < c < 18+4

14 < c < 22

Telling us that the third side c is between 14 and 22, excluding both endpoints. This means c = 14 and c = 22 are not allowed. If either value were to happen, then the triangle becomes a single line instead. Try it out with slips of paper.

Because c = 14 is not allowed, we must go to the next whole number up. Therefore, c = 15 is the smallest possible length for the third side, when the third side is a whole number.

If the third side wasn't a whole number, then we could have something like c = 14.1 or c = 14.01 or c = 14.001 or c = 14.0001, and so on. We could steadily get closer and closer to 14, but never actually arrive to it. In short, there is no "smallest third side". This is likely why your teacher is focusing on the whole numbers so there is a smallest value of c possible.

Extra info: As you can probably guess, the largest side possible is c = 21, which is one less than 22. Like above, this is only possible if c is a whole number.

Answer:15

Step-by-step explanation: i got it right

Answer:

How to Find the Area- Use 1/2 (times) base times height

Area of Logo 2- 60cm

Step-by-step explanation:

You would use the formula stated in the answer above. 1/2x10x12.

Also have a great day :))

Answer:99

Step-by-step explanation:

Devide 297 by 3

Answer:

3

Step-by-step explanation:

Answer:

A. 0.623

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

0.623 is less than 0.625

Answer:

The sunflower is doing this because it is following the direction of the sun, which is a key factor in photosynthesis.

Step-by-step explanation:

Answer:

a sunflower bends down to East in morning because the sun rises in east. all flowers grows towards the light of the sun. during 12 noon sun is middle of east and west so its growing towards the light at straight way. during 4 o' clock in afternoon became sun goes down to west so the sunflower bends down to the light.

Answer:

$720

Step-by-step explanation:

(4000)(0.03)(6)

Answer:

Mean= Summation /number of terms

= 48/8

=6.

Median

To do this

arrange all terms from smallest to biggest

That is

2,4,4,5,7,8,9,9

The two middle numbers are

5 and 7.

To get the median

add both and divide by 2

5+7 = 12... 12/2 =6

Median=6

Mode.... This is the number that appears most

Mode = 4 and 9.(Bimodal) Both appear equally.

Range: Highest - Lowest

= 9-2 =7.

Answer:

mean = 6 median = 6 mode 9 and 4 range = 7

Step-by-step explanation:

mean = 2+4+4+5+7+8+9+9÷ 8 = 6

median = 5+7÷2

mode = 9 and 4

range = 9-2=7

Answer:

The simplified form would be 7x.

Step-by-step explanation:

(4x - 6) + (3x + 6)

4x - 6 + 3x + 6

4x + 3x -6 + 6

4x + 3x

= 7x

A) 2x+5=9 then if x=1

2+5=9 which is wrong then A is wrong

B) x=2

2×2+5=9

4+5=9

then B is correct

C) x=3

2×3+5=9

6+5=9

then C is wrong

D) 2x+5<9

2×1+5<9

2+5<9

7<9

D is correct

E)x=2

2×2+5<9

4+5<9

9<9

E is wrong

F) x=3

2×3+5<9

6+5<9

11<9

F is wrong

Answer:

192.42 m²

Step-by-step explanation:

big circle

10.5 ² x   pi =346.3605

inner circle

 7 ² x pi = 153.9380

346.3605 -  153.9380 = 192.4225   (192.42)

Answer:

A kite has only 1 pair of opposite congruent sides, whereas a parallelogram has 2 pairs of opposite congruent sides

Hope this helps!

Answer:

25metres

Step-by-step explanation:

Complete question

Shenelle has 100 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by: A(x )= -(x-25)² + 625

What width will produce the maximum garden area?

At maximum area of the garden dA/dx = 0

dA/dx = -2(x-25)

0 =-2(x-25)

-2(x-25) = 0

x - 25 =0

x = 0+25

x = 25

Hence the width that will produce the maximum garden area is 25metres

Answer:

625  square meters

Step-by-step explanation:

The garden's area is modeled by a quadratic function, whose graph is a parabola.

The maximum area is reached at the vertex.  

So in order to find the maximum area, we need to find the vertex's y-coordinate.  

The function A(x)  is given in vertex form.

The vertex of -(x-25)^2+625 is at (25,625)  

In conclusion, the maximum garden area is 625square meters.

correct on khan academy

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Slope = Change in y over change in x

Looking at the graph, as y goes up 4 x goes up 2

Thus, slope = 4/2 or 2

Answer:

Your answer is 156

Step-by-step explanation:

300*.52=156

Answer:

n = 5.25

Step-by-step explanation:

6.5 = 1.25 + n

6.5 - 1.25 = 1.25 - 1.25

5.25 = n

Calculation: 2/3 - 1/2 - fraction calculator. The result is 1/6 ≅ 0.1666667 = onesixth. ... Solve problems with two, three, or more fractions and numbers in one ... From a 1 meter ribbon, Ericka cut 2/4 meter for her hat and another 1/4 meter for ...

Answer:

arithmetic sequence

Step-by-step explanation:

There is a common difference between consecutive terms , that is

d = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3

This indicates the sequence is arithmetic with common difference d = 3

Answer:

[tex]y=\frac{6}{5}x-8[/tex]

Step-by-step explanation:

we know the slope (or m in y=mx+b) is 6/5 we just need to solve for b

we will do this by plugging in the required coordinates

-2=(6/5)*5+b

-2=6+b

-8=b

put it all together

Answer:

y = [tex]\frac{6}{5}[/tex] x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{6}{5}[/tex] , then

y = [tex]\frac{6}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 6 + c ⇒ c = - 2 - 6 = - 8

y = [tex]\frac{6}{5}[/tex] x - 8 ← equation of line

SRRY ACCIDENTLY CLICKED

GFI = GI arc ==》 GI arc = x + 42

_________________________

GHI = GI arc ÷ 2

==》 x - 9 = ( x + 42 ) ÷ 2

Multiply both sides by 2

==》2 × ( x - 9 ) = 2 × ( x + 42 / 2)

==》 2x - 18 = x + 42

Add both sides 18

==》 2x - 18 + 18 = x + 42 + 18

==》 2x = x + 60

Subtract both sides x

==》 2x - x = x - x + 60

==》 x = 60

_________________________________

GHI = x - 9

GHI = 60 - 9

GHI = 51

1.

a) metres to centimetres :

multiply length by 100

b) metres to millimetres:

multiply length by 1000

c) kilograms to grams:

multiply the mass value by 1000

d) litres to millilitres :

multiply volume by 1000

2.

a) 3 m = 3× 100 = 300 cm

b) 28 cm = 28 × 10 = 280 mm

c) 2.4 km = 2.4 × 1000

= 24 × 10^-1 × 10^3

= 24 × 10^2 =2400 m

d) 485 mm =485 / 10

= 485 / 10 ^1

= 485 × 10 ^-1

= 48.5 cm

e) 35 cm = 35 / 100

= 35 /10^2

= 35 × 10 ^ -2

= 0.35 m

f) 2.4 m = 2.4 / 1000

= 24 × 10 ^-1 / 10^3

= 24 × 10^-1 × 10 ^-3

= 24 × 10 ^ -4

= 0.0024 km

g) 2495 mm = 2495 /1000

= 2495 /10^ 3

= 2495 × 10 ^-3

=2.495 m