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katovenus [111]
2 years ago
11

That’s what i’ve done so far

Mathematics
1 answer:
Sati [7]2 years ago
8 0

Answer:

• for x

{ \tt{(4x + 1) + 2(x + 5) = 20}} \\ { \tt{4x + 1 + 2x + 10 = 20}} \\  { \tt{6x + 11 = 20}} \\ { \tt{6x = 20 - 11}} \\{ \tt{6x = 9}} \\{ \boxed { \tt{x =  \frac{3}{2} = 1.5 }}}

• for A:

{ \tt{2x + 4 = A}} \\  { \tt{A = 2( \frac{3}{2}) + 4 }} \\ { \tt{A = 3 + 4}} \\ { \boxed{ \tt{A = 7}}}

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Find an equation of the sphere which contains points A(1, 3, 2) and B(4, 3, 7) and the distance between A and B is equal to the
Marina86 [1]

Answer:

The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

Step-by-step explanation:

First we need to find diameter of the sphere. The distance point A and point B is:

d=\sqrt{(4-1)^2+(3-3)^2+(7-2)^2} \\d=\sqrt{3^2+0^2+5^2} \\d=\sqrt{34} \\d=5.83

d/2=r=2.92

radius of the sphere is 2.92 units

and the center of the sphere is:

C=((4+1)/2,(3+3)/2,(7+2)/2)

C=(2.5,3,4.5)

We can write the equation of the sphere as:

r^2=(x-2.5)^2+(y-3)^2+(z-4.5)^2\\8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

4 0
3 years ago
A movie theater charges $10 for adult tickets and $7 for child tickets. On a particular day, they made $1446 in ticket sales. Th
luda_lava [24]
X = adults
Y = child

X+y=168
X=168-y

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3 years ago
Candice bought 6 dozen eggs and broke 9 eggs how many eggs did she have left
Nadya [2.5K]

Answer:

63

Step-by-step explanation:

12x6=72

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For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 360 degrees a. 6.28 un
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Answer:

The length of a 180° arc of a unit circle is π ≈ 3.14 units.

Step-by-step explanation:

Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to

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3 years ago
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