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Temka [501]
3 years ago
5

Determine the center and radius of the following circle equation: x² + y2 - 6x + 16y + 48 = 0​

Mathematics
1 answer:
motikmotik3 years ago
4 0

Answer:

center (3,-8)

radius=5

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Factor completely 2x2 + 2x − 24.
nalin [4]

2x^2 + 2x - 24

= 2x^2 + 8x - 6x -24

= 2x(x + 4) -6(x + 4)

= (x+4)(2x-6)

7 0
3 years ago
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Please help meeee I have 20 minutes to turn this in
lana66690 [7]

Answer:

RSU = 75.2°

Step-by-step explanation:

this is because:

⇒ RSU = RST + TSU

⇒ RSU = 48 + 27.2

⇒ RSU = 75.2°

Hence proved

6 0
3 years ago
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Find the distance between the two points in simplest radical form.<br> (-1,9) and (4, -3)
jolli1 [7]

Answer:

GIVEN BY POINTS :-

( -1, 9) , ( 4 , -3)

Here ,

\bullet  \: \:  x _{1} = - 1 \\ \bullet \: \:  x _{2} = 4 \\ \bullet \: \:   y _{1} = 9 \\ \bullet \: \:    y _{2} =  - 3 \\

Using Distance formula :

=  >  \sf d = \sqrt{( {x _{2} - x _{1}) }^{2} + {( {y _{2} - y _{1}) }^{2} } } \\ \\  =  > \sf  d = \sqrt{ ({ 4  + 1)}^{2} + { ( - 3 - 9)}^{2} } \\  \\ =  >  \sf d = \sqrt{ {5}^{2} + {( - 12)}^{2} }  \\ \\  =  > \sf d = \sqrt{25 + 144}  \\ \\  =  > \sf d = \sqrt{169}  \\ \\ =  > \boxed{ \sf{  d = 13\:units }}\\

8 0
3 years ago
Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the
MAVERICK [17]

The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

\mathbf{I(h) =\frac{12h - h^2}{36}} ---- the function for sun intensity

\mathbf{T(I) =\sqrt{5000I}} -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

\mathbf{h = 2:00pm - 6:00am}

\mathbf{h = 8}

Substitute 8 for h in \mathbf{I(h) =\frac{12h - h^2}{36}}, to calculate the sun intensity

\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}

\mathbf{I(8) =\frac{32}{36}}

\mathbf{I(8) =\frac{8}{9}}

Substitute 8/9 for I in \mathbf{T(I) =\sqrt{5000I}}, to calculate the temperature of the soil

\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}

\mathbf{T(8/9) =\sqrt{4444.44}}

\mathbf{T(8/9) =66.67}

Approximate

\mathbf{T(8/9) =67}

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

5 0
2 years ago
1/8 - 1/7 please :DDDDDDDDD
ira [324]

Answer:

-1/56

Step-by-step explanation:

6 0
3 years ago
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