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3 years ago

Which expression is equivalent to 4 sqrt. x^10

Mathematics

1 answer:

Minchanka [31]3 years ago

4 0

Answer:

then i ahve no dea becaus eim form colkeges and im baciallt not oging ot live for long bc i hat eschool work

Step-by-step explanation:

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Can someone plz explain how to do this?

andre [41]

Subtract y
3x - y + 5 = 0

5 0

3 years ago

A rectangular park measuring 32 yards by 24 yards is surrounded by a trail of uniform width. If the area of the park and the tra

cluponka [151]

Answer:

The width = 38 yard

Step-by-step explanation:

Given

Dimension of Park = 32 by 24 yard

Area = 1748 yd²

Required

Find the width of the park

Given that the park is surrounded by a trail;

Let the distance between the park and the trail be represented with y;

Such that, the dimension of the park becomes (32 + y + y) by (24 + y + y) because it is surrounded on all sides

Area of rectangle is calculated as thus;

Area = Length * Width

Substitute 1748 for area; 32 + 2y and 24 + 2y for length and width

The formula becomes

$1748 = (32 + 2y) * (24 +2y)$

Open Bracket

$1748 = 32(24 + 2y) + 2y(24 + 2y)$

$1748 = 768 + 64y + 48y + 4y^2$

$1748 = 768 + 112y + 4y^2$

Subtract 1748 from both sides

$1748 -1748 = 768 -1748 + 112y + 4y^2$

$0 = 768 -1748 + 112y + 4y^2$

$0 = -980 + 112y + 4y^2$

Rearrange

$4y^2 + 112y -980 = 0$

Divide through by 4

$y^2 + 28y - 245 = 0$

Expand

$y^2 + 35y -7y - 245 = 0$

Factorize

$y(y+35) - 7(y + 35) = 0$

$(y-7)(y+35) = 0$

Split the above into two

$y - 7 = 0\ or\ y + 35 = 0$

$y = 7\ or\ y = -35$

But y can't be less than 0;

$So,\ y = 7$

Recall that the dimension of the park is 32 + 2y by 24 + 2y

So, the dimension becomes 32 + 2*7 by 24 + 2*7

Dimension = 32 + 14 yard by 24 + 14 yard

Dimension = 46 yard by 38 yard

<em>Hence, the width = 38 yard</em>

5 0

4 years ago

Lena [83]

Answer:

-1110/39 is the number

Step-by-step explanation:

We want to find the number should be added to both numerator and denominator of the ratio 29 : 36 to make it equal to 3:42

Let the number to be added be x.

Thus;

(29 + x) : (36 + x) = 3:42

The proportion symbol is essentialy a division symbol.

Thus;

(29 + x)/(36 + x) = 3/42

Cross multiply to give;

42(29 + x) = 3(36 + x)

1218 + 42x = 108 + 3x

1218 - 108 = 3x - 42x

1110 = - 39x

x = -1110/39

8 0

3 years ago

Does the parabola with equation x2 + 5x +9=0 have real or imaginary roots?

vesna_86 [32]

Answer:

b2-4ac , ans is negative . Should have no real roots .

7 0

4 years ago

A pharmacist wishes to mix a solution that is 4% Minoxidil. She has on hand 90 ml of a 1% solution and wishes to add some 6% sol

Yakvenalex [24]

Step-by-step explanation:

remember, 1% = 1/100 = 0.01

4% = 0.04

6% = 0.06

so, we have to find the solution for

90×0.01 + x×0.06 = (90+x)×0.04

with x being the amount needed of the 6% solution.

90×0.01 + x×0.06 = 90×0.04 + x×0.04

90×0.01 + x×0.02 = 90×0.04

x×0.02 = 90×0.03

x = 90×0.03/0.02 = 135 ml

so, we need to add 135 ml of the 6% solution to get in total a 4% solution (90+135 = 225 ml of that).

4 0

3 years ago