2 years ago

Write the sphere in standard form. 4x2 + 4y2 + 4z2 − 24x + 16y = 1

Mathematics

1 answer:

dybincka [34]2 years ago

5 0

Answer:

(x -3)^2 +(y +2)^2 +z^2 = 13.25

Step-by-step explanation:

Divide by 4 and complete the squares.

x^2 -6x +y^2 +4y +z^2 = 1/4

(x^2 -6x +9) +(y^2 +4y +4) +z^2 = 13 1/4

(x -3)^2 +(y +2)^2 +z^2 = 13.25

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The square below has a side length of 5 cm. What is the length of the missing side? Round your answer to the nearest whole numbe

Misha Larkins [42]

Answer:

D. about 7 cm

Step-by-step explanation:

You can use the pythagorean theorem.

You have a triangle with sides of 5 and 5, so that means the third side is:

$a^2 + b^2 = c^2 --> 5^2 + 5^2 = c^2\\25 + 25 = c^2\\50 = c^2\\c = 5\sqrt{2}$

rounding:

$5\sqrt{2} = 7$

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3 years ago

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adelina 88 [10]

Answer is 15 miles per hour

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3 years ago

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QUICK HELP!!!!

sasho [114]

Answer:

$y = \frac{3}{4} x - \frac{3}{2}$

Step-by-step explanation:

$y = \frac{3}{4} x - 1→y - y1 = m( x - x1)$

$y - 6 = \frac{3}{4} (x - 6)→y - 6 = \frac{3}{4} x - 6$

$2(y - 6) = 2( \frac{3}{4} )(x - 6)$

$2y - 6= \frac{3}{2}( x - 6)$

$2y - 6 = \frac{3}{2} x - 9$

$- 6 \: from \: both \: sides$

$2y = \frac{3}{2} x - 3$

$divede \: by \: 2 \: on \: both \: sides$

$y = \frac{3}{4} x - \frac{3}{2}$

Hope this helps!

7 0

3 years ago

Solve for a. 1/3(21−3a)=6−a a.−1 b.0 c.no solution d.all real numbers

kifflom [539]

1/3(21 - 3a) = 6 - a
7 - a = 6 - a
7 = 6

Therefore, the equation has no solution.

3 0

3 years ago

Pls pls pls help i rlly need the asnwer soon

anygoal [31]

Answer:

(1. 5

(2. 180

(3. 900

(4. 5180=900

Step-by-step explanation:

5 0

2 years ago

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