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3 years ago

PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP PLEASE

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

Answer:

It's D

Step-by-step explanation:

I'm not entirly sure, but i'm pretty sure that since the number line is coming form the left side that makes it negative. It stops on two and it's shaded in so D would be the correct answer.

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Find an equation of the sphere with point P such that the distance from P to A(−2, 6, 2) is twice the distance from P to B(4, 3,

Sveta_85 [38]

Answer:

$3*x^{2} - 36*x + 3*y^{2} -12*y + 3*z^{2} -4*z + 62 = 0$

Step-by-step explanation:

The distance from a point $P = (x,y,z)$ to another point $A = (a,b,c)$ is given by $((x-a)^{2} + (y-b)^{2} + (z-c)^{2})^{1/2}$ .

So, if the distance from P to A is twice the distance from P to B, we have an equality given by:

$((x+2)^{2} + (y-6)^{2} + (z-2)^{2})^{1/2} = 2*((x-4)^{2} + (y-3)^{2} + (z+1)^{2})^{1/2}$

If we power by 2 both sides of the equality to remove the square roots, we have:

$(x+2)^{2} + (y-6)^{2} + (z-2)^{2} = 4 * ((x-4)^{2} + (y-3)^{2} + (z+1)^{2})$

And solving every parenthesis and operating the similar terms, we have:

$(x^{2} + 4*x + 2) - 4*(x^{2} - 8*x + 16) + (y^{2} - 12 * y + 36) - 4*(y^{2} -6*y + 9) + (z^{2} -4*z+4) - 4*(z^{2}+2*z+1) = 0$

Operating and multiplying both sides by -1:

$(3*x^{2} - 36*x +62) + (3*y^{2} -12*y + 0) + (3*z^{2} -4*z + 0) = 0$

Giving as result:

$3*x^{2} - 36*x + 3*y^{2} -12*y + 3*z^{2} -4*z + 62 = 0$

The sphere can be seen here: https://www.wolframalpha.com/input/?i=3*x%5E2+-+36*x+%2B+3*y%5E2+-12*y+%2B+3*z%5E2+-4*z+%2B+62+%3D+0

7 0

4 years ago

If a sentence is defined recursively by f(0)=3 and f(n+1) = f(n) +5 for n ? 0, then f(2) is A) 2 B) 3 C) 5 D) 8

VladimirAG [237]

The recursive formula $f(n+1)=f(n)+5$ means that the next term in the sequence is 5 more than the previous one.

So, we know that we start from $f(0)=3$ , which means that the next term is

$f(1) = f(0)+5 = 3+5 = 8$

Similarly,

$f(2) = f(1)+5 = 8+5 = 13$

8 0

3 years ago

How much does 9 m equal to ? Mm

Sveta_85 [38]

Answer:

9000mm

Step-by-step explanation:

You multiply 9 by 1000 to turn m to mm

7 0

3 years ago

Solve: 20/x = 2 a. x = 40 b. x = 10 c. x = 20 d. x = 15

andre [41]

Answer: the answer is 10! B)X=10

8 0

3 years ago

-7x + 8y = 19 7x – 9y=-17

Gemiola [76]

Answer:

Solution set = (-5, -2)

Step-by-step explanation:

Given equations;

-7x + 8y = 19 ------------- eq1

7x – 9y=-17 --------------- eq2

Adding both equations:

-y = 2

y = 2

Put value of y in eq2:

7x - 9(-2) = -17

7x + 18 = -17

7x = -17 -18

7x = -35

x = -5

Solution set = (-5, -2)

i hope it will help you!

8 0

4 years ago

Read 2 more answers