Answers
Answer:
a) The line intersects with the circle once.
b) Tangent
Step-by-step explanation:
We are given the following equation for the circle:
[tex]x^2 + y^2 = 36[/tex]
How many times does the line y=-6 intersect with the circle?
We have to find the values of x when [tex]y = -6[/tex]
So
[tex]x^2 + y^2 = 36[/tex]
[tex]x^2 + (-6)^2 = 36[/tex]
[tex]x^2 + 36 = 36[/tex]
[tex]x^2 = 0[/tex]
[tex]x = 0[/tex]
Since the line intersects the circle at one point, it is tangent to the circle.
The line intersects with the circle once.
Related Questions
Solve x2 – 2x = 15 by applying the quadratic formula.
Answers
Using the quadratic formula, the value of x in the given situation is x = 4 ± √2+60x/2x.
What is the quadratic formula?The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.
In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.
A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.
We have:
x² – 2x = 15
x² – 2x - 15 = 0
The formula is:
x = -b ± √b² - 4ac/2a
Now, insert values as follows:
x = -b ± √b² - 4ac/2a
x = -(-2) ± √(-2)² - 4(x)(-15)/2x
x = 4 ± √2+60x/2x
Therefore, using the quadratic formula, the value of x in the given situation is x = 4 ± √2+60x/2x.
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#4 Find the value of x and y 34° 109° x and y
Answers
180-37=143 y=143
Is s=2/3 a solution of 6s−1=3s?
Answers
Answer:
nope
Step-by-step explanation:
No, s=2/3 is not a solution of 6s−1 = 3s.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A linear equation,
6s − 1 = 3s.
Substituting,
s = 2/3,
Equation is,
3 ≠ 2
Simplifying,
6s - 3s = 1
3s = 1
s = 1/3
That means, s = 1/3 is the only solution of the equation.
Therefore, s = 2/3 is not a solution to the equation.
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Counting numbers less than -2
Answers
-2, -3, -4, -5, -6, -7...
someone help please
Answers
Answer:
(0, 1) and (4, 7)
Step-by-step explanation:
We are going to find the equation that satisfy the question.
The equation of a line is: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
The problem gives us the slope and a point the line passes through.
In order to find b, we plug in the given point (2,4) and solve.
[tex]4=\frac{3}{2} *2+b[/tex]
[tex]4=3+b\\1=b\\[/tex]
The equation for the line is:
[tex]y=\frac{3}{2} x+1[/tex]
By plugging in the points to see if it is true, we get that only (0,1) and (4,7) are on the line.
O Mary bought 2 gallons of orange juice for a class celebration. 1 serving of juice is 1 cup. She has 24 classmates. Will there be enough juice for everyone to get a full serving?
Answers
Help ASAP!!! I’m confused. Thank you!
Answers
Answer:
y = 23
Step-by-step explanation:
115 = 5y
Divide 5 by both sides of the equation.
y = 23
Eliminate the parameter. x = t^2 + 1, y = t^2 - 1.
Answers
Answer:
Eliminating the parameter, the equation is [tex]y = x - 2[/tex]
Step-by-step explanation:
We are given the following parametric equations:
[tex]x = t^2 + 1[/tex]
[tex]y = t^2 - 1[/tex]
We want to eliminate the parameter t. From the first equation:
[tex]x = t^2 + 1[/tex]
[tex]t^2 = x - 1[/tex]
Replacing in the second equation:
[tex]y = x - 1 - 1[/tex]
[tex]y = x - 2[/tex]
Eliminating the parameter, the equation is [tex]y = x - 2[/tex]
whats 1+0+9+5+5+3+9+3+112-123+7-7x0
Answers
Step-by-step explanation:
First, multiply -7 by 0.
-7×0=0
Now, do the adding and subtracting.
1+0=1
1+9=10
10+5=15
15+5=20
20+3=23
23+9=32
32+3=35
35+112=147
147-123=24
24+7=31
31+0=31
The answer is: 31
A disease is spreading through a flock of 100 sheep. Let S(t) be the number of sick sheep t days after the outbreak. The disease is spreading at a rate proportional to the product of the time elapsed and the number of sheep who do not have the disease. Suppose that 10 sheep had the disease initially. The mathematical model is:________
Answers
Answer:
módem an decandes frenses
Answer:
10 out of 100
Step-by-step explanation:
1.
Which of the following statements are true? Select All that apply.
A. Two angles that have a combined measurement of 90° are supplementary.
B. Two angles that have a combined measurement of 180° are supplementary.
C. Two angles that share a side and a vertex are considered adjacent.
D. Two angles that are created by two intersecting lines with a shared vertex, no
shared side, and are opposite each other are considered vertical.
E. Vertical angles do NOT have the same angle measurement.
Answers
Answer:
B C D
Step-by-step explanation:
graph the parabola. Identify the vertex.
y=-5x^2
choose the correct graph below.
Answers
Answer:-5x^2
Step-by-step explanation:
According to the figure, which statement is correct?
A . AB and DC appear to be parallel.
B. AB and DC appear to be perpendicular.
C. BF and DC appear to be perpendicular.
D. AB and EF appear to be parallel.
Answers
Answer:
c
BF and DC appear to be perpendicular.
Answer: C
Step-by-step explanation:
BF and DC appear to be perpendicular. Perpendicular means meets at 90 degrees (a right angle)
Please help
Find the perimeter of the following shape, rounded to the nearest tenth
Answers
Answer:
19.1
Step-by-step explanation:
i took the testttttt
Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the given shape is 19.1 units.
What is the length of any line on the graph?The distance or length of any line on the graph,
[tex]{\rm Distance} = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
where,
d = distance or length of the line between points 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
To find the perimeter of the given figure we need to calculate the length of each line segment on the given graph. Therefore, the length of the different sides of the given quadrilateral can be written as,
AB = √[(5-0)²+(-1-0)²] = √26 units
BC = √[(5-3)²+(-1+5)²] = √20 units
CD = √[(3+2)²+(-5+4)²] = √26 units
AD = √[(-4 - 0)²+(- 2 - 0)²] = √20 units
Perimeter = AB + BC + CD + AD
= √26 units + √20 units + √26 units + √20 units
= 19.1423 units ≈ 19.1 units
Hence, the perimeter of the given shape is 19.1 units.
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Jake has 3.5 hours before bedtime he must spend 2 hours doing homework the rest of his time will be spent doing puzzles it takes Jake 1/2 hour to complete each puzzle which equation models the number of puzzles P jake can complete before bedtime
3.5 = 2 - (1/2)p
(1/2)p+ 2 = 3.5
3.5 + 2 = (1/2)p
(1/2)p - 2 = 3.5
Answers
Answer:
(1/2)p+2=3.5
Step-by-step explanation:
1/2 is hours he spends doing work p would be the variable for how many puzzles he can do plus the 2 hours for homework to equal 3.5 hours in all.
4. Write a fraction that is a multiple of 4/5
Answers
Answer:
multiply by any number to create a multiple
Step-by-step explanation:
4/5 = 8/10 = 12/15 = 16/20...
Akari has a sink that is shaped like a half beer with a radius of 5 in if Akari was to fill the sink with water what would the volume be? Find the volume of the sphere with the same radius. Find the volume of the sink if it is half of a sphere.
Answers
What is the measure of arc PSR? *
75 degrees
260 degrees
65
100
Answers
Answer:
it most likely would be 260 degrees
Consider the cylinder with a volume of 132 cm3.
What is the volume of a cone with the same radius and
height as the cylinder?
O 337 cm
O 447 cm
O 66 cm
O 132 cm
3
V = 132 cm
HELPPP
Answers
Answer:
447 cm or 337 cm can be both
The volume of the cone whose height and radius are equal to that of given cylinder`s height and radius is equal to 44cm³.
The volume of given cylinder is = 132cm³
The volume of a cylinder of radius r and height h is given by
V=πr²h
Therefore, πr²h=132
Now volume of cone of same radius and height is = (1/3)πr²h
=(1/3)×132
=44cm³
Hence, the volume of the cone with same radius and height as of given cylinder is 44cm³.
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Wanda created the poster shown below:
Tin
Att
1 N
STOPI
width - 36 cm
length - 32 cm
What would be the dimensions of the poster at 4 times its current size? (5 points)
O Length - 128 cm, width = 144 cm
O Length - 28 cm, width - 32 cm
O Length = 36 cm, width =
O cm
O Length = 8 cm, width = 9 cm
Answers
Answer:
Length=8 cm ,width=9 cm .
Step-by-step explanation:
Given in rectangle
Length of the rectangle=32 cm
Width of the rectangle= 36 cm
According to question
Length of poster= times length of rectangle
Length of poster=
Length of poster=8 cm.
By simplification
Width of poster= times width of rectangle
Width of poster=
Width of poster= 9 cm
By simplification
Hence, Length of poster=8 cm and width of poster=9 cm.
A ship caption is mapping
Answers
25 miles per hour
Explanation: In the 2nd column in the graph it says that in 1 hour (time) the ship captain can travel 25 miles (distance).
Glad to help!! :)
If x + 10 = 70, what is x?
Α. 40
B. 50
C. 60
D. 70
E. 80
Answers
Answer:
×+10=70
you take 10 to the other side .... and it'll change signs ..as it was positive it will be negative then you simply say
×=70-10
×=60
How many solutions ?
Answers
Answer:
one solution
the solution is x=0
Answer:
1
Step-by-step explanation:
You can figure this out using a simple trick. The highest number to the power that a variable goes to is the number of answers for that question. Meaning if There was an x cubed in that problem, there would be 3 answers.
What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?
Answer is y=-1/2x-6
:)
Answers
Answer:
yo sorry I'm dum need points
PLZZZZZZZZZZZZZZZZZ HELP WILL MARK BRAINLIEST 84 POINTS
1 + 2=
Answers
Answer: 3
Step-by-step explanation: 2 is 1 and 1 put together plus another 1 makes 3
can't quite figure out the limit problem
Answers
Use the squeeze theorem; if
1 - x ²/4 ≤ u(x) ≤ 1 + x ²/2,
then taking the limit on each part as x approaches 0 gives
1 ≤ lim [x → 0] u(x) ≤ 1
and so the limit of u(x) as x → 0 is simply 1.
When graphing a system of equations with infinitely many solutions the slopes of the two lines will be
Answers
Answer:
The slopes if the two lines will be the exact same
Step-by-step explanation:
the only way for a system of equations to have indefinitely many solutions would have to be having the same equation. same equation means same slope and y intercept
Who can answer this problem
Answers
Answer:
5440
Step-by-step explanation:
85 × 2 × 2 × 2 × 2 × 2 × 2 = 5440
Answer:
5,440
Step-by-step explanation:
85+85
170+170
340+340
680+680
1360+1360
2720+2720
double it 6 times
which characteristic of water will allow a paper clip to remain floating on water when the paper clip is gently placed on top of the water
Answers
Answer:
surface tension
If the bug jumps 7 units and lands at 0, where could it have started?
Answers
Answer:
7 or -7
Step-by-step explain
This depends on how it works. if we are including negative numbers then an option is -7. If we are going backwards and not including negatives then it would be 7