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3. Determine whether or not AB is tangent to circle O. Show your work.
Answers
The line AB touching the circle at point B in the considered diagram is not tangent to the circle O.
What is Pythagoras Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
How are radius and tangent to a circle related?
There is a theorem in mathematics that:
If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.
So, if AB is a tangent, then ∠ABO = 90° and therefore satisfies Pythagoras theorem.
Assuming AB is tangent, then ABO is right angled we should get:
This statement is false, and therefore, so as our assumption is false that ABis tangent to circle O. Thus, AB is not tangent to circle O.
(so it might be that even if AB looks like touching at one point the circle O, but AB might be intersecting the circle at two points, or not touching it at all)
Thus, the line AB touching the circle at point B in the considered diagram is not tangent to the circle O.
Learn more about tangent to a circle here:
Answer:
not tangent
Step-by-step explanation:
two reasons, first
Triangle AOB is not a right triangle
line AB intersects the circle O at two points.
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Answers
Solution:
1+4(5) = 5
2+5(7) = 12(5+7)
3+6(9) = 21(12+9)
4+7(11) = 32(21+11)
5+8(13) = 45(32+13)
6+9(15) = 60(45+15)
7+10(17) = 77(60+17)
8+11(19) = 96(77+19).
B)Meiosis in the sporophyte would cease and the reproductive cycle would stop.
C)The flagellated sperm would not be able to swim to the eggs for fertilization.
D) The flagellated sperm and eggs would go dormant until water was available.
2. Which of the following is true of conifers?
A)The sporophytes grow directly from the gametophyte B)The gametophytes grow directly from the sporophyte C) The spores release from the male cones D)The spores release from the gametophyte
Answers
Secondly, the next answer would be D, that the spores release from the gametophyte. This is because only females reproduce in these cases.
Answers
x² – 3x – 3 = 0
First, add 3 to both sides
x² – 3x – 3 (+3)= 0 (+3)
x² – 3x = 3
Solve for a. 2ax = -3x; a = -3/2
x² - 3x + (-3/2)² = 3 + (-3/2)²
Simplify
x² - 3x + (-3/2)² = 21/4
Complete the square
(3 - 3/2)² = 21/4
solve:
x - 3/2 = √(21/4); x = (√21 + 3)/2
x - 3/2 = -√(21/4); x = ((-√21) + 3)/2
Answers:
x = ((√21) + 3)/2 & x = ((-√21) + 3)/2
hope this helps
Hello!
I believe the answer is X = -0.79, 3.79.( rounded to nearest hundredth )
I hope it helps!
Answers
The number of hard puzzles solved by Tina using a system of equations is 15
Using the relation :
- Number of easy puzzles = a
- Number of hard puzzles = b
- Points earned per easy puzzle = 30
- Points earned per hard puzzle = 60
- Total Number of puzzles = 50
- Total points earned = 1950
The system of equation representing the scenario can be written thus :
a + b = 50 - - - - - (1)
30a + 60b = 1950 - - - - (2)
From (1)
a = 50 - b - - - - - - (3)
Substitutea = 50 - b in (2)
30(50 - b) + 60b = 1950
1500 - 30b + 60b = 1950
1500 + 30b = 1950
30b = 1950 - 1500
b = 450 / 30
b = 15
Therefore, the Number of hard puzzles solved is 15
Learn more :brainly.com/question/18796573
This is a system of equations. We can solve it by recognizing the two linear equalities we've given to solve this equation.
First, let's start off by recognizing two variables: x and y. x will be our number of hard puzzles, and y will be our number of easy puzzles. We're given that the number of hard puzzles and easy puzzles sum to 50, so we can rewrite that as:
Next, we're given that the sum of the points gained from the hard puzzles (60x), and the number of points gained from the easy puzzles (30y), sum to 1950. We can rewrite that as:
Now, we have our two linear equations, and we must solve for the hard puzzles, so x. Solving for the hard puzzles means eliminating the easy puzzles from our systems, so we can multiply our first equation by 30, and subtract it from the first equation. This is a technique called elimination.
Since x=15, Tina has solved 15 hard puzzles.
Answers
Answer:
131.086
Step-by-step explanation:
Answers
Answer:
-9
Step-by-step explanation:
Hope this helps.