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aliya0001 [1]
3 years ago
6

1) (9,- 4) and (1,8) are thecoordinates of the endpoints of a diameter of a circle. Write the

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

(x-5)²+(y-2)²=52

Step-by-step explanation:

first find the midpoint (center of the circle)

(9+1)/2, (-4+8)/2

(5, 2) = center

then distance formula to find diameter

√(9-1)²+(-4-8)²=√64+144 = √208 = 2√52

The radius is half the diameter = √52

Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center

Now you can plug everything in.

(x-5)²+(y-2)²=52

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Which number is the<br> same distance away from -12 as 2?
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Answer:

-26

Step-by-step explanation:

2 is 14 away from -12. The other number that is 14 away from -12 is -26.

-12 + x = 2

x  = 14

-12 - 14 = -26

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Why does the multiplicative inverse of a number have the same sign as the number?
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3 years ago
848 runners entered a race. 274 more entered before
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3 years ago
Read 2 more answers
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con
natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

L = 3w --- (1)volume = l \times w \times h \\ \\ 88 =  (3w)   \times w  \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\

The construction cost now is:

C = 4(l \times w) + 2 ( w  \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w  \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}

Now, to determine the minimum cost:

\dfrac{dC}{dw}= 0  \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}

w = \dfrac{88}{3(3)}^{1/3} \ feet

Now;

length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet

height = ( 88})^{1/3} (3)^{1/3} \ feet

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3 years ago
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