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storchak [24]
3 years ago
11

Which equation represents a circle with a center at ( -4,9) and a diameter of 10 units

Mathematics
2 answers:
Rufina [12.5K]3 years ago
7 0

Answer: it’s d (x+4)2+(y-9)=100

Step-by-step explanation:

Took it on edgunity btw

castortr0y [4]3 years ago
3 0

Answer:

(x + 4)² + (y - 9)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 4, 9) and r = 10 ÷ 2 = 5, thus

(x - (- 4))² + (y - 9)² = 5², that is

(x + 4)² + (y - 9)² = 25

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Can someone please help me do this
Viefleur [7K]

Answer:

Step-by-step explanation:

CD is Pole

∠CAD = 4°  {Alternate interior angles}

ΔCAD,

\dfrac{opposite \ side}{adjacent \ side}= tan 4\\\\ \dfrac{90}{AD}=tan \ 4\\\\ \dfrac{90}{AD} = 0.069\\\\90 = 0.069*AD\\\\ \dfrac{90}{0.069}=AD\\\\AD = 1304 \ ft

In ΔCDB,

∠B = 5° {Alternate interior angles}

Tan \ 5 = \dfrac{90}{BD}\\\\0.09* BD = 90\\\\BD =   \dfrac{90}{0.09}\\\\BD = 1000 \ ft

4 0
2 years ago
A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro
pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0
3 years ago
Carpet costs $21.95 per square yard and the padding to put under it costs $2.55 per square yard. Felix plans to install padding
Trava [24]

Answer:

735

Step-by-step explanation:

6 0
2 years ago
Add 5/9 + 7/12 .Enter your answer below as a fraction in lowest terms, using the
Alexxx [7]

Answer:

1 5/36

Step-by-step explanation:

need a common denominator which would be 36

to get from 9 to 36 you multiply by 4 so 5 would be multiplied by 4 to get the fraction 20/36

do the same with 7/12 12x3 is 36 and 7x3 is 21 so 21/36

then add 20+21=41

put over 36       41/36

Find if you can lower it which you can:

41 is bigger than 36 by 5 so your ending fraction would be 1 and 5/36 because 5 and 36 don't have a common factor.

5 0
2 years ago
(PLEASE HELP)
KiRa [710]
D 2,4,5 it should be ( 3,4,5 )
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2 years ago
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