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Rzqust [24]
3 years ago
5

Write the equation for the line tangent to the circle x2 + y2 = 29 at the point (2, 5).

Mathematics
1 answer:
oee [108]3 years ago
3 0
X2 + y2 = 29

Center of the circle 
x=0 and y=0

Therefore the slope of the line perpendicular to the tangent line
(y2-y1) / (x2-x1)
(5-0) / (2-0)
5/2
 
 so the slope of the tangent 
 -2/5             

General equation for the line
y = mx + c
if the line satisfies with the point (2,5)
5 = 2m + c

m = -2/5

5 = 2 * (-2/5) + c
c = 5 + (4/5)
c = 29/5

Therefore the equation of the line
y = mx + c
y = (-2/5) m + 29/5 
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Lines c and d are parallel lines cut by transversal p.
lilavasa [31]

Answer:

Option (B).

Step-by-step explanation:

Here there are two parallel lines c and d cuts by a transversal p.

The angles are formed as shown in diagram.

Here,

\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)

So, the option (B) is correct.

5 0
3 years ago
Solve for m 1/C+1/m=1/z
9966 [12]
Answer:  " m = zC / (C − z) " .
___________________________________
Explanation:
_________________________
Given:  1/C + 1/m = 1/z ;  Solve for "m".

Subtract  "1/C" from each side of the equation:
____________________________________
1/C + 1/m − 1/C = 1/z − 1/C  ;

to get:  1/m = 1/z − 1/C ;
____________________________________
Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
_________________

mzC {1/m = 1/z − 1/C} ;

to get:  zC = mC − mz ;

Factor out an "m" on the "right-hand side" of the equation:

zC = m(C − z) ;  Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;

zC / (C − z) = m(C − z) / m ;  to get:   24/8 = 3  24

zC/ (C − z) = m ;   ↔   m = zC/ (C − z) .
___________________________________________________
4 0
2 years ago
I really need help on this !!
Naddik [55]

Answer:

r = -1

Step-by-step explanation:

(y2-y1)/(x2-x1)=m

(r,7)=(x1,y1) and (3,4)=(x2-y2) and m=-3/5

so plug in...

(4-7)/(4-r)=-3/5

then solve for r which will get that r = -1

numerator: 4-7=-3

denominator: 4-r=5 -> 4-5=0+r -> -1=r

4 0
2 years ago
A homes value increases at an average rate of 5.5% each year the current value it is $120,000 what function can be used to find
likoan [24]
Around this time many people find home prices going up dramatically. Let's start with the X factor. If we know the starting is $120,000, the we know the initial velocity. To find the final but the very simple equation one may use is; P=(120000)^x\0.5


Cheers
3 0
3 years ago
You have 6,000 with which to build a rectangular enclosure with fencing
Dominik [7]
What is the question asking
7 0
3 years ago
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