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patriot [66]
3 years ago
5

What is the radius of a circle whose equation is x2 + y2 + 8x - 6y + 21 = 0? units

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0

Answer:r=2

Step-by-step explanation:

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In ΔXYZ, ∠X=82° and ∠Y=84°. ∠XWZ=90° and XY=97. Find the length of XW to the nearest integer.
ivanzaharov [21]

Check the picture below to the left, let's use those sides with the law of sines

\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{sin(14^o)}{97}=\cfrac{sin(84^o)}{XZ}\implies XZ = \cfrac{97\cdot sin(84^o)}{sin(14^o)}\implies XZ \approx 398.76 \\\\\\ \stackrel{\textit{now using SOH CAH TOA}}{cos(82^o) = \cfrac{XW}{XZ}}\implies XZcos(82^o)=XW \\\\\\ 398.76cos(82^o)\approx XW\implies 55.497\approx XW\implies \stackrel{\textit{rounded up}}{55=XW}

7 0
2 years ago
How do you say the number 4.293?<br> Also, write two other forms of this number.
Elodia [21]
Four point two-hundred ninety three
8 0
3 years ago
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Find the value of x so that the line passing through (10, 5) and (x, 9) has a slope of -2.
Verdich [7]
Ok, so here, we need to use the slope formula which is:

(y2 - y1)/(x2-x1)

y2 = 9
y1 = 5

x2 = x
x1 = 10

So:

(9-5)/(x-10) = -2

Now, we just solve for x,

9-5  =  -2(x-10)

4  =  -2x+20

2x  =  16

x  =  8
4 0
3 years ago
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How much is 2.1x 82
hram777 [196]
2.1 x 82 =

172.2

I hope this answer was helpful! :)
8 0
3 years ago
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PLEASE HELP ASAP!!!!!!!!!!!
marusya05 [52]

Answer:(1) The correct option is b. (2) The correct option is c.

Explanation:

(1)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

\angle CFE=\angle DAB

It is given that the angle DAB is 63 degree.

\angle CFE=63^{\circ}

Therefore, the correct option is b.

(2)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

BD=EC

BD=CD+DE

BD=8+10

BD=18

Therefore, the correct option is c.

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3 years ago
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