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AlekseyPX
2 years ago
10

Help anyone please.................................

Mathematics
1 answer:
Helen [10]2 years ago
5 0

Answer:

- 3y

Step-by-step explanation:

-\sqrt{9y^{2} } =-(9)^{\frac{1}{2} } (y)^{\frac{2}{2} }  =-\sqrt{9} (y)^{1} =-3y

Hope this helps

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Angle $eab$ is a right angle, and $be = 9$ units. what is the number of square units in the sum of the areas of the two squares
Alla [95]
Let the measure of side AB be x, then, the measue of side AE is given by

AE=\sqrt{9^2-x^2}.

Now, ABCD is a square of size x, thus the area of square ABCD is given by

Area=x^2

Also, AEFG is a square of size \sqrt{9^2-x^2}, thus, the area of square AEFG is given by

Area=\left(\sqrt{9^2-x^2}\right)^2=9^2-x^2=81-x^2

<span>The sum of the areas of the two squares ABCD and AEFG is given by

x^2+81-x^2=81

Therefore, </span>the number of square units in the sum of the areas of the two squares <span>ABCD and AEFG is 81 square units.</span>
8 0
3 years ago
-7 &lt; 3x + 2 &lt; 5.<br> Solve for x
yarga [219]

Answer:

-3 < x < 1, This is the domain

5 0
2 years ago
Solve the equation. StartFraction dy Over dx EndFraction equals5 x Superscript 4 Baseline (1 plus y squared )Superscript three h
dangina [55]

Answer:

Step-by-step explanation:

To solve the differential equation

dy/dx = 5x^4(1 + y²)^(3/2)

First, separate the variables

dy/(1 + y²)^(3/2) = 5x^4 dx

Now, integrate both sides

To integrate dy/(1 + y²)^(3/2), use the substitution y = tan(u)

dy = (1/cos²u)du

So,

dy/(1 + y²)^(3/2) = [(1/cos²u)/(1 + tan²u)^(3/2)]du

= (1/cos²u)/(1 + (sin²u/cos²u))^(3/2)

Because cos²u + sin²u = 1 (Trigonometric identity),

The equation becomes

[1/(1/cos²u)^(3/2) × 1/cos²u] du

= cos³u/cos²u

= cosu

Integral of cosu = sinu

But y = tanu

Therefore u = arctany

We then have

cos(arctany) = y/√(1 + y²)

Now, the integral of the equation

dy/(1 + y²)^(3/2) = 5x^4 dx

Is

y/√(1 + y²) = x^5 + C

So

y - (x^5 + C)√(1 + y²) = 0

is the required implicit solution

5 0
3 years ago
Solve P = 8/3 R + 30 for R.
vampirchik [111]

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = \frac{8}{3}R

multiply each side by \frac{3}{8} to get:

\frac{3}{8} · P - 30 = R

R = (3P-30)/8

7 0
3 years ago
How to do percentages ?
Rus_ich [418]
Say you're trying to figure out what percentage 3 is of 15.

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300/15 = 15x/15

20 = x

Therefore, 3 is 20% of 15.
3 0
3 years ago
Read 2 more answers
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