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trasher [3.6K]
3 years ago
11

M is directly proportional to r2.when r=2,m=14.Work out the value of m when r=12

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0

Answer:

504

Step-by-step explanation:

In the attached file

Hope it helps

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X^2+4x divides by x
valkas [14]

Answer:

x + 4

Step-by-step explanation:

x^2 + 4x / x = x^2/x + 4x/x

                   = x + 4

hope it helped!

8 0
3 years ago
The set of numbers 1,7,11 and 36 contains values for m what value of m makes the equation true 4m+8 equals 36
frosja888 [35]
Answer:

4m+8=36
4m=36-8=28
m=28÷4=7
m=7
8 0
3 years ago
(99 POINTS) Using similarity solve for x. Show all work
Anna11 [10]
Hey there! :D

The biggest thing to remember here is the similar triangles and their side lengths. 

Okay, so we can separate these triangles into 3 similar triangles. Which, we only need to do that to two for a proportion, but if you were to have more variables, you could separate the triangles even more if you needed to. 

We want to find two triangles that have "x" has a value of their side, so we can solve a proportion. 

The bigger triangle, (the whole two triangles combine) and the smaller triangle on the left can be used to make a proportion.

On the smaller triangle:

We have 9 cm on the shorter side and x as the hypotenuse. 

On the larger triangle: 

We have x as the shorter side, and then 25 as the hypotenuse. (9+16)

Note: You have to flip the larger triangle upside down to make it a similar structure to the other two triangles. It is similar, you just have to flip it. 

So, now we can make a proportion. 

\frac{x}{9} =  \frac{25}{x}

Now, cross multiply. 

9*25= 225

x*x= x^{2}

So, find the square root. 

√225= 15

x= 15. 

I hope this helps!
~kaikers
7 0
3 years ago
Read 2 more answers
Which of the following phrases translates to m - 7?
Sindrei [870]

m is an unknown number that is being decreased by 7.

OPTION A IS WRONG BECAUSE MATHEMATICALLY IT IS WRITTEN AS

7 - m

B IS WRONG BECAUSE IT MEANS

7 - m

C IS WRONG BECAUSE IT MEANS

7 - m

BUT D IS THE ANSWER BECAUSE IT MEANS

m - 7

SINCE m IS TREATED AS AN UNKNOWN NUMBER.

GOODLUCK!!!!

6 0
1 year ago
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number
andreyandreev [35.5K]

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0
3 years ago
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