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meriva
3 years ago
7

Could someone please help me with this answer

Mathematics
2 answers:
MArishka [77]3 years ago
3 0

Answer: H

Step-by-step explanation:

Ivan3 years ago
3 0

The answer is to the question is h

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Please help solve this system of equations
stepan [7]

Make a substitution:

\begin{cases}u=2x+y\\v=2x-y\end{cases}

Then the system becomes

\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}

Simplifying the equations gives

\begin{cases}\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81}{182}\\\\\dfrac{4\sqrt[3]{v^4}}{u^2-v^2}=\dfrac1{182}\end{cases}

which is to say,

\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81\times4\sqrt[3]{v^4}}{u^2-v^2}

\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81

\implies\dfrac uv=\pm27

\implies u=\pm27v

Substituting this into the new system gives

\dfrac{4\sqrt[3]{v^4}}{(\pm27v)^2-v^2}=\dfrac1{182}\implies\dfrac1{v^2}=1\implies v=\pm1

\implies u=\pm27

Then

\begin{cases}x=\dfrac{u+v}4\\\\y=\dfrac{u-v}2}\end{cases}\implies x=\pm7,y=\pm13

(meaning two solutions are (7, 13) and (-7, -13))

8 0
2 years ago
The radius of a circular plate is 7 inches.
Readme [11.4K]

Answer:

153.94 in²

Step-by-step explanation:

The equation for Area is

Area = πr²

Plugging in the value for the radius into r, it will be

(note, r means radius)

Area = π(7)²= 49π ≈ 153.94

The units is -> in² so add that in the end

5 0
3 years ago
Which of the following expressions is equivalent to 18x + 30y?
uranmaximum [27]

Answer:

B) 6(3x + 5y)

Step-by-step explanation:

6 times 3 is 18 and 6 times 5 is 30

4 0
2 years ago
A window had a length of 8 feet and a width of 6 feet. what is the perimeter of the window?
alexira [117]
Perimeter = 2l+2w in this case. So 16+12, 28 feet is your answer!
7 0
3 years ago
Read 2 more answers
Find the surface area of the composite figure. Round to the nearest square centimeter
Goryan [66]

Answer:

Surface area = 726 cm²

None of the options is correct.

Step-by-step explanation:

Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)

✔️Surface area of cone = πr(r + l)

Where,

Radius (r) = 5 cm

Slant height (l) = √(10² + 5²) (Pythagorean theorem)

Slant height (l) = 11.2 cm

Plug in the values

= π*5(5 + 11.2)

= 254.5 cm²

✔️Surface area of the cylinder = 2πr(h + r)

r = 5 cm

h = 15 cm

Plug in the values into the formula

S.A = 2*π*5(15 + 5)

S.A = 628.3 cm²

✔️area of base of cone = πr²

r = 5 cm

Area = π*5² = 78.5 cm²

✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)

= 882.8 - 157

= 726 cm² (nearest square meter)

None of the options is correct.

7 0
3 years ago
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