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3 years ago

3 over 5 divided by 5 over 8

Mathematics

2 answers:

KatRina [158]3 years ago

7 0

Answer:

24/25

Step-by-step explanation:

flip the sign to multiplication and change 5/8 to 8/5 and multiply straight across.

3/5 x 8/5 = 24/25

Xelga [282]3 years ago

7 0

The answer is 24/25 :)))). Hope t

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The equation -2x2-8x = 10is rewritten in the form of -2(x-p)2+q = 0. What is the value of q?

scoundrel [369]

Answer:

q = -2

Step-by-step explanation:

-2x²-8x = 10 (divide both sides by -2)

x² + 4x = -5 (Apply completing the square method)

x² + 4x + (4/2)²= -5 + (4/2)²

x² + 4x + 2²= -5 + 2² (reduce left hand side using a²+2ab+b² = (a+b)² )

(x+2)² = -5 +4

(x+2)² = -1

(x+2)² + 1 = 0 (multiply both sides by -2)

(-2)(x+2)² + 1 (-2) = 0

-2[x - (-2)]² + (-2) = 0 ---> compare this with -2(x-p)² + q = 0

We can see that p = 2 and q = -2

4 0

3 years ago

galina1969 [7]

Answer:

Step-by-step explanation:

(–5g^5 h^6)^2 × (g^4 h^2)^4 the ^ carot symbol means raised to power X

(25 g^10 h^12) × (g^16 h^8) exponents raised to powers MULTIPLY

-5² = 25 g^5² = g^10 h^6² = h^12 do the same thing with (g^4 h^2)^4

25 g^(10+16) h^(12+8) collecting terms powers ADD

25 g^26 h^20 Which letter is the answer?

Did you follow my explaination?

8 0

3 years ago

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

RSB [31]

Answer:

The volume of the solid is:

$\displaystyle\frac{19\pi}{6}$

Step-by-step explanation:

See the graph of the region attached.

To find the intersection between the line and the parabola we set the equation equal to each other, and solve that quadratic equation by factorization:

$x^2=9-8x\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,x=1$

Since the region is the one for $x\ge 0$ then the intersection we are interested on is x=1 as it can also be seen in the graph.

Then we set the integral using shell method for revolving about the y-axis:

$\displaystyle\int_a^b 2\pi\,x\,h(x)\,dx$

Where h(x) is the height of the shell which here is the distance between the parabola and the line, so $8x-9-x^2$ (since the line is on the top we subtract from it the parabola)