<span>When a </span>radius<span> is drawn to a point of tangency, the </span>angle formed<span> is always a right angle.
Basically, the 2 tangents and the radii form a quadrilateral.
The 3 angles on the right are 90, 111 and 90 degrees.
Therefore, the fourth angle = 360 -90 -111 -90
Which equals 69 degrees.
</span>
Find the equation of the line through <span>the points (–1, –5) and (4, 5). First, find the slope: m = rise / run = 5/10 = 1/2.
Then the equation is y-5=(1/2)(x-4). If (a,1) is on this line, (a,1) must satisfy the given equation. Let y=1 and solve for x:
1-5 = (1/2)(x-4) Mult both sides by 2 to get -2 = x-4. Then x = -4+2 = -2
So (-2,1) is also on the line.</span>
35.0: the answer to the question
Solution: x ≥ -5
<h2>Steps</h2>
Domain Definition: The domain of a function is the set of input or argument values for which the function is real and defined
<u>squareroot 2x + 10</u> ⇒ <u>2x + 10 ≥ 0</u>
Solve 2x + 10 ≥ 0:
Subtract 10 from both sides
2x + 10 - 10 ≥ 0 - 10
Simplify
2x ≥ -10
Divide both sides by 2
2x / 2 ≥ -10 / 2
Simplify
2x / 2
Divide the numbers: <u>2 / 2 = 1</u>
= x
Note: x has the same value as 1
Divide the numbers: -10 / 2 = -5
= -5
The function domain is
x ≥ -5
The equation that can be used to find the area of the walkway is A = 3h+3b+9.
<h3>What is a rectangle?</h3>
A rectangle is a plane shape that has pair of opposite sides equal and parallel.
To find the equation that could be used to find the area of the walkway, we use the formula below.
Formula
- Area of the walkway(A) = Area of the swimming pool and the walk- area of the swimming pool
- A = [(h+3)(b+3)]-(hb)
- A = hb+3h+3b+9-hb
- A = 3h+3b+9.
Hence, The equation that can be used to find the area of the walkway is A = 3h+3b+9
Learn more about rectangles here: brainly.com/question/17297081
