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Vera_Pavlovna [14]
3 years ago
9

M is directly proportional to the square of X

Mathematics
1 answer:
Oliga [24]3 years ago
5 0

Answer:

m=kx squared

24=k*2squared

24/4=k

k=6

24= 6*4

m=6xsquared

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Given rectangle QUAD, If DU = 5x - 4 and QP = 2x + 7, then find the length of DU.
ira [324]

Answer:

DU = 86

Step-by-step explanation:

Properties of a rectangle,

- Opposite sides are equal in measure.

- Diagonals of a rectangle are equal.

- Diagonals bisect each other.

In the given rectangle QUAD,

Diagonals AQ and DU bisect each other at P.

AQ = DU

2(QP) = DU [Since, AQ = 2(PQ)]

2(2x + 7) = 5x - 4

4x + 14 = 5x - 4

5x - 4x = 14 + 4

x = 18

Since, DU = 5x - 4

DU = 5(18) - 4

     = 90 - 4

     = 86

Therefore, measure of DU = 86 units

3 0
2 years ago
Twelve pounds less than twice janes weight is 270 pounds. What is Janes weight?
Tpy6a [65]
Janes weight = x
Twelve pounds less than twice janes weight is 270 pounds
12 less than 2x is 270 

2x -12 = 270   (add 12 to each side)
2x = 270 + 12
2x = 282   (divide 2 from each side)
x = 282/2
x = 141

The answer is 141 pounds
7 0
3 years ago
A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop
Anton [14]

One laptop costs 32,750.

He bought 5 laptops.

So, 5 x 32,750 = 163,750.

Let d = cost of one desktop.

163,750 + d = 229,600.

Solve for d to find your answer.

6 0
2 years ago
What is the factorization of the polynomial below?<br> 5x2 - 35x + 60
natita [175]

Answer:

5(x-3)(x-4)

Step-by-step explanation:

5x^2-35x+60

Start by factoring out a 5:

5(x^2-7x+12)

We need to find two integers that have a product of 12, and a sum of -7:

(-3)(-4)=12

-3-4=-7

We can split -7x into -3x and -4x

5(x^2-3x-4x+12)

Factor each half separately:

5[x(x-3)-4(x-3)]

Since x and -4 are both being multiplied by x-3, we can combine them:

5(x-3)(x-4)

7 0
2 years ago
Simplify the ratio of<br> 35 : 14
Ne4ueva [31]

Answer:

5:2

Step-by-step explanation:

divide both numbers by 7

hope this helps...

3 0
2 years ago
Read 2 more answers
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