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3 years ago

If anyone could pls help!!

Mathematics

1 answer:

Darya [45]3 years ago

8 0

Answer: 32x^1/2y^2

Step-by-step explanation:

Multiply 64 times 1

64xy^4/2

Then divide 64 by 2

32x1/2y^2

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If AE=6x-55 and EC=3x-16, find DB. (Hint: Find x first and then substitute.)

erica [24]

Given:

Given that ABCD is a rectangle.

The diagonals of the rectangle are AC and DB.

The length of AE is (6x -55)

The length of EC is (3x - 16)

We need to determine the length of the diagonal DB.

Value of x:

The value of x can be determined by equating AE and EC

Thus, we have;

$AE=EC$

Substituting the values, we get;

$6x-55=3x-16$

$3x-55=-16$

$3x=39$

$x=13$

Thus, the value of x is 13.

Length of AC:

Length of AE = $6(13)-55=78-55=23$

Length of EC = $3(13)-16=39-16=23$

Thus, the length of AC can be determined by adding the lengths of AE and EC.

Thus, we have;

$AC=AE+EC$

$AC=23+23$

$AC=46$

Thus, the length of AC is 46.

Length of DB:

Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.

Hence, we have;

$AC=DB$

$46=DB$

Thus, the length of DB is 46.

6 0

3 years ago

What is the arithmetic sequence in this problem . help plz

adell [148]

Answer:

a(n)=80*(9/10)^(n-1)

Step-by-step explanation:

I think u r confused

this sequence is geometric not arithmetic

HOw we know that ??

when we get a common difference that must Be equal

d=72-80=-8 not equal to d=64.8-72=-7.2

So it is not arithmetic

but when we get the common ratio that also must be equal

r=72/80=9/10 equal to r=64.8/72=9/10

So it is geometric

By using this equation:

a(n)=a*r^(n-1)

and we have a=80 , r=9/10

Then a(n)=80*(9/10)^(n-1)

I really hope this helps <3

6 0

3 years ago

Solve the following system. Please show me how you did it.

Andrej [43]

Answer:

x = 3, y = 4 and z = -5.

Step-by-step explanation:

Use the elimination method:

-3x + 2y + z = -6...........(1)

x + 3y + 2z = 5..............(2)

4x + 4y + 3z = 13..........(3)

Multiply the first equation by -2:

6x - 4y - 2z = 12 Add this to equation (2):

7x - y = 17...........(4)

Now Multiply equation (2) by 3 and equation (3) by -2

3x + 9y + 6z = 15 ............(5)

-8x - 8y - 6z = -26............(6) Adding (5) + (6):

-5x + y = -11..........(7)

Now Add (7) and (4):

2x = 6

x = 3.

Now substitute for x in (4):

7(3) - y = 17

-y = 17 - 21 = -4

y = 4.

Finally substitute for x and y in equation (3) to find z:

4(3) + 4(4) +3z = 13

3z = 13 - 12 - 16 = -15

z = -5.

4 0

3 years ago

statistical models predict that price p( in dollars) of a new smartphone will change according to the function p=900-4t^2. where

Gre4nikov [31]

we are given

$p=900-4t^2$

where

price p( in dollars) of a new smartphone

t is the number of months since January

now, we can solve for t

step-1:

Add both sides by 4t^2

$p+4t^2=900-4t^2+4t^2$

$p+4t^2=900$

step-2:

Subtract both sides by p

$p+4t^2-p=900-p$

$4t^2=900-p$

step-3:

divide both sides by 4

$\frac{4t^2}{4} =\frac{900-p}{4}$

$t^2=\frac{900-p}{4}$

$t^2=225-0.25p$

step-4:

Take sqrt both sides

$\sqrt{t^2} =\sqrt{225-0.25p}$

$t=\sqrt{225-0.25p}$

so, we get

$t=\sqrt{225-0.25p}$ ..............Answer

7 0

3 years ago

Please help if you can

GarryVolchara [31]

64 degree is the right answers

3 0

3 years ago

Read 2 more answers