Answer with Step-by-step explanation:
We are given that equation of circle
Compare with equation of circle
Where (h,k)=Center of circle
r=Radius of circle
We get circle of center=(-1,9)
Radius=12.04
The point (-10,1) is on the circle because it satisfied the circle equation .
Slope of radius=
By using slope formula
Slope:
We know that radius is perpendicular to the tangent.
When two lines are perpendicular then their slope is opposite reciprocal to each other.
Slope of tangent=
Now, the equation of tangent passing through the point(-10,1) with slope-9/8 is given by
By using point-slope form
a.Kamal has made an error to find the slope of tangent .
Slope of tangent=
But he used slope of tangent 8/9
b.The equation of tangent line
Answer:
it is blocked
Step-by-step explanation:
itr is blocked
Answer:
Sine Formula or Sine Rule :
BC / sinA = AC / sinB
60 / sinA = 84.95 / sin(115°)
60 / sinA = 84.95 / 0.91
60 / sinA = 93.7
sinA = 60 / 93.7
sinA = 0.64
A = arc(sin0.64)
A = 39°48'30"
A ≈ 40°
Hence, the value of angle BAC is <u>40°</u>
- <u>40°</u> is the right answer.
Answer:
x = -5/3, y = -1 or 
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
<h3>Step 1: Multiply Equation 2 by -2:</h3>
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
<h3>Step 2: Add "8y + 6x = -18" to Equation 1:</h3>
8y + 6x = -18
+ 3y - 6x = 7
11y = -11
<h3>Step 3: Divide both sides by 11 to solve for y:</h3>
y = -1
<h3>Step 4: Substitute y = -1 into Equation 2 to solve for x: </h3>
-4(-1) - 3x = 9
4 - 3x = 9
<h3>Step 5: Subtract 4 from both sides:</h3>
4 - 4 - 3x = 9 - 4
- 3x = 5
<h3>Step 6: Divide both sides by -3 to solve for x:</h3>
Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
The distance from Abbotsford to Kelso is 17 km. That is your "a" value. The distance from Abbotsford to Hawick is 15 km.
