A line that intersects a circle at exactly one point is called a ______
Chord
Tangent
Secant
Answers
A line that intersects a circle at exactly one point is called a tangent.
What is a tangent to a circle?A line segment that touches a circle specified to only one point is called a tangent to that circle.
The point where it touches the circle is called the point of tangency.
We can see that point line segment PT is the tangent of our circle and point P is the point of tangency.
Therefore, A line that intersects a circle at exactly one point is called a tangent.
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Related Questions
Find the x-intercepts of the parabola with vertex (-7,45) and y-intercept (0,-200). Write your answer in this form: (x1,y1), (x2,V If necessary, round to the nearest hundredth
Answers
Answer:
(-10, 0) , (-4, 0)
Step-by-step explanation:
[tex]\text{We know that the parabola is given by the quadratic equation.}\\\text{let the general equation of the parabola is}\\\\y=a(x-h)^2+k, \text{ where (h, k) is the vertex of the parabola.}\\\\\text{here we have given that vertex, }(h,k)=(-7,45), \text{ so above equation gives}\\\\y=a(x-(-7))^2+(45)\\\\y=a(x+7)^2+45\\\\\text{now this parabola has y-intercept at }(0,-200), \text{ so with this point}\\\text{above equation gives}[/tex]
[tex]-200=a(0+7)^2+45\\\\\Rightarrow -200=49a+45\\\\\Rightarrow 49a=-245\\\\\Rightarrow a=-\frac{245}{49}=-5\\\\\text{so the equation of the parabola is}\\\\y=-5(x+7)^2+45[/tex]
[tex]\\\text{Now to find the x-intercepts, we set }y=0, \text{ so we get}\\\\-5(x+7)^2+45=0\\\\\Rightarrow -5(x+7)^2=-45\\\\\Rightarrow (x+7)^2=\frac{-45}{-5}\\\\\Rightarrow (x+7)^2=9\\\\\Rightarrow (x+7)=\pm \sqrt{9}\\\\\Rightarrow x+7=\pm 3\\\\\Rightarrow x=-7\pm 3\\\\\Rightarrow x=-7-3, \text{ and } x=-7+3\\\\\Rightarrow x=-10, \text{ and } x=-4\\\\\text{so x-intercepts of parabola occur at: }(-10,0), \text{ and }(-4,0)[/tex]
John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs to maintain a ratio of pumpkin to green beans of 5 to 1. If he wants to use a total of 114 cans, how many cans of green beans should he use?
Answers
Answer:
19
Step-by-step explanation:
The ratio of green beans (g) to pumpkin (p) is ...
... g : p = 1 : 5
Then the ratio of green beans to the total is ...
... g : (g+p) = 1 : (1+5) = 1 : 6
Since you have
... g/total = (1/6)
... g = total · 1/6
you can substitute 114 for the total to find ...
... g = 114 · 1/6 = 19
Compute the missing data in the table for the following exponential function
Answers
Answer:
missing data for the following exponential function is 27
Step-by-step explanation:
To find out missing data , we use the given f(x) equation
Given f(x) = 3^x
WE need to find the missing number f(x) when x=3
To find f(x) we plug in 3 for x in f(x) = 3^x
[tex]f(x) = 3^3= 3*3*3= 27[/tex]
So missing number is 27
Answer:
B. 27
Step-by-step explanation:
Please please help me out!
Answers
Answer: $1.25 decrease
Step-by-step explanation:
I am not positive but I think this is how you calculate it:
(.25)($10) + (.75)(-$5)
= $2.50 + -$3.75
= -$1.25
Can someone please tell me if my answer is correct for this one.i need to know if the floor is positive, negative, zero or undefined. I say it's undefined
Answers
If you mean the y coordinate of that line, then it would be negative because it goes through -4 on the y axis.
A health food store makes trail mix using dried fruit and nuts. The cost of the dried fruit is $2.50 per pound and the cost of the nuts is $2.00 per pound the total cost to make the trail mix is $225. If the total cost can be represented by the equation 2.5x+2y=225 what does the term 2.5x represent?
Answers
In the equation 2.5x + 2y = 225, the term 2.5x represents the cost of dried fruit, with 2.5 being the cost per pound.
In the provided equation 2.5x + 2y = 225, where x stands for the pounds of dried fruit and y represents the pounds of nuts, the term 2.5x signifies the cost associated with the dried fruit in making the trail mix.
The coefficient 2.5 represents the cost per pound of dried fruit, which is $2.50. Therefore, multiplying the pounds of dried fruit (x) by the cost per pound (2.5) gives the total cost of the dried fruit in the trail mix. In essence, 2.5x calculates the financial contribution of the dried fruit to the overall cost of producing the trail mix.
For example, if there are 10 pounds of dried fruit (x = 10), then 2.5 times 10 equals 25, representing the cost, in dollars, of the dried fruit in the trail mix. This interpretation extends to any quantity of dried fruit used in the trail mix.
In summary, the term 2.5x in the equation 2.5x + 2y = 225 specifically denotes the cost associated with the pounds of dried fruit (x) used in producing the trail mix.
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Identify all the hyperbolas which open horizontally
Answers
Answer:
The hyperbolas which open horizontally are:
(x+2)^2/3^2-(2y-10)^2/8^2=1
(x-1)^2/6^2-(2y+6)^2/5^2=1
Step-by-step explanation:
A hyperbola with equation of the form:
(x-h)^2/a^2-(y-k)^2/b^2)=1 opens horizontally
Then, the hyperbolas which open horizontally are:
(x+2)^2/3^2-(2y-10)^2/8^2=1
(x-1)^2/6^2-(2y+6)^2/5^2=1
Answer:
[tex]\frac{(x-2)^2}{3^2}-\frac{(2y-10)^2}{8^2}=1[/tex]
and
[tex]\frac{(x-1)^2}{6^2}-\frac{(2y+6)^2}{5^2}=1[/tex]
Step-by-step explanation:
There are 2 types of hyperbolas:
Horizontal:
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex]
Vertical:
[tex]\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1[/tex]
If the x term is positive then parabola is horizontal.
If the y term is positive then parabola is vertical.
so, only first two equations are in which x term is positive.
hence, equations are
[tex]\frac{(x-2)^2}{3^2}-\frac{(2y-10)^2}{8^2}=1[/tex]
and
[tex]\frac{(x-1)^2}{6^2}-\frac{(2y+6)^2}{5^2}=1[/tex]
For every 2 bricks, 5 paving stones were used to build a backyard patio. James used a total of 120 bricks to complete his patio. Of the paving stones be used, 46% were tan in color while the rest were gray. How many gray paving stones were used to build the patio?
Answers
162
Step-by-step explanation:... (total paving stones) / bricks = 5 / 2
Multiplying by bricks gives ...
... (total paving stones) = (5/2)·bricks = 5/2·120 = 300
Then the number of gray paving stones is ...
... (gray stones) = (total paving stones) - (tan stones) . . . . tan + gray = total
... = (total paving stones) - 46% · (total paving stones) . . . . tan is 46% of total
... = (100% - 46%)·(total paving stones) = 54% · (total paving stones)
... = 54/100 · 300 . . . . put in the total number of paving stones
... (gray stones) = 162
Answer: 162
Step-by-step explanation:
Which of the following is equal to cos 35
A) sin 35
B)cos 55
C) sin 55
D) cos 145
Explain why it is equal
Answers
Answer to your question:
C) sin 55
cos 35= sin (90-35)= sin 55
Hope it helps *_*
Answer:
B) cos 55
Step-by-step explanation:
Consider a right angle triangle with 35 angle, the other angle = 180 - 90 - 35 = 55
sin 35 = opposite side of 35 angle / hypothesis
Opposite side of 35 angle is the same as the adjacent side of 55 angle
sin 35 = adjacent side of 65 angle / hypothesis = cos 55
The answer is B.
Jose is going to order wrenches for his hardware store. He can order four different types and the table shows the profit margin for each type in tens of dollars and the probability. Which wrench should he order?
Answers
Answer:
B
Step-by-step explanation:
The expected value of profit margin is the sum of the product of profit margin and probability.
Wrench A:
... 10×.05 +20×.6 +30×.2 +40×.15 = 0.5 +12 +6 +6 = 24.5
Wrench B:
... (20+40)×.3 +(30+50)×.2 = 18 +16 = 34
Wrench C:
... 15×.4 +30×.5 +(45+60)×.05 = 6 +15 +5.25 = 26.25
Wrench D:
... 5×.2 +10×.4 +15×.15 +20×.25 = 1 +4 +2.25 +5 = 12.25
___
Clearly, Wrench B has the greatest expected profit margin. That would be the one Jose should order if he's trying to maximize his profit.
which of the following is equal to the expression listed below?
11 x 5 +9
A . 9 x 11 + 5
B . 5 x 9 + 11
C . 5 x 11 + 9
D . 11 x 9 + 5
Answers
Convert 453° to radians.
A)
151π
30
B)
151π
60
C)
151π
90
D)
151π
120
Answers
The formula:
[tex]\theta=\dfrac{\theta\pi}{180}[/tex]
We have
[tex]\theta=453[/tex]
Substitute:
[tex]453^o=\dfrac{453\pi}{180}=\dfrac{453\pi:3}{180:3}=\dfrac{151\pi}{60}\to\boxed{B)}[/tex]
The conversion of 453° into radians is 151π/60.
What is radian?The angle made by taking the radius and wrapping it round the circle.
Given that, 453°
To convert any degree into radians, we multiply by π/180
453*π/180 = 151π/60
Hence, The conversion of 453° into radians is 151π/60.
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An aquarium has a length of n^ 2 +2 inches, a height of n + 5 inches, and a width of 10 inches. What is the volume, in cubic inches, of the aquarium, in terms of n ?
Answers
The formula of a volume of a rectangle prism:
[tex]V=lwh[/tex]
l - length
w - width
h - height
We have
[tex]l=n^2+2;\ w = 10,\ h=n+5[/tex]
Substitute:
[tex]V=(n^2+2)(10)(n+5)=(10n^2+20)(n+5)\\\\=(10n^2)(n)+(10n^2)(5)+(20)(n)+(20)(5)\\\\=10n^3+50n^2+20n+100[/tex]
Answer: V = (10n³ + 50n² + 20n + 100) in³The volume of the aquarium in terms of n is calculated by multiplying its length (n2 +2 inches), width (10 inches), and height (n + 5 inches) giving the formula V = (n2 + 2) imes (n + 5) imes 10, which expands to V = 10n3 + 60n2 + 20n + 100 cubic inches.
We use the formula V = length times width times height, where the volume V is the space inside the aquarium. The question provides the dimensions of the aquarium in terms of n: the length (n2 +2 inches), height (n + 5 inches), and width (10 inches).
To calculate the volume, simply multiply the dimensions together:
Length: n2 + 2 inchesHeight: n + 5 inchesWidth: 10 inchesVolume, V = (n2 + 2) imes (n + 5) imes 10
Expanding the expression gives us the volume V in cubic inches as a function of n:
V = 10n3 + 60n2 + 20n + 100 cubic inches
Billie buys materials for a project at a fabric store. She has $16.95 to spend. She buys fabric for $8.69, craft glue for $1.95, and craft paper for $4.29. How much money does she left after she pays for the items?
Answers
Final answer:
Billie has $2.02 left after buying fabric, craft glue, and craft paper, which in total cost her $14.93 from her initial $16.95.
Explanation:
To find out how much money Billie has left after purchasing her items, we need to calculate the total cost of the items and subtract it from the amount she had initially.
Fabric cost: $8.69
Craft glue cost: $1.95
Craft paper cost: $4.29
We add these amounts together to find the total cost of the items:
$8.69 (fabric) + $1.95 (glue) + $4.29 (paper) = $14.93.
Now, we subtract the total cost of items from the amount she had to start with:
$16.95 - $14.93 = $2.02.
Therefore, Billie has $2.02 left after her purchases.
The total cost to rent a row boat is $16 times the number of hours the boat is used. How long can you rent the boat for $240
Answers
Answer: 15
from what i believe
Step-by-step explanation: i did the math that i thought it was and i did 240 divided by 16 and i got 15 hope this helps.
Bryan started to evaluate a decimal expression. 2.5(42 ÷ 3.2 – 10(0.2) + 3)– 5.2 2.5(16 ÷ 3.2 – 10(0.2) + 3) – 5.2 What should Bryan's next step look like?
Answers
Answer:
The answer is C
Step-by-step explanation:
I just answered it on edg
The second step is
2.5 (42 ÷ 3.2 – 2 + 3) - 5.2
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Step 1:
2.5 (42 ÷ 3.2 – 10(0.2) + 3) - 5.2
Step 2:
2.5 (42 ÷ 3.2 – 2 + 3) - 5.2
Step 3:
2.5 (13.125 + 1) - 5.2
Step 4:
2.5 (14.125) - 5.2
Step 5:
35.3125 - 5.2
Step 6:
30.1125
Thus,
The value of the expression is 30.1125.
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helppppppppppppppppppppppppp
Answers
Answer:
It should be A, $12.75
Step-by-step explanation: Add 10.5+10.5+10.5+4.5+4.5+6.75= $47.25, subtract 60-47.25= $12.75
Write an equation in slope-intercept form for the line that has a slope of -4 and passes through (1, 2).
A. y = -2x + 4
B. y = -4x + 2
C. y = -4x + 6
D. y = -4x + 9
Answers
y-y1 = m(x-x1) ..... point slope form
y-2 = -4(x-1) ... plug in the given info; solve for y
y-2 = -4x+4
y = -4x+4+2
y = -4x+6
Answer is choice C
Answer:
C. y = -4x + 6
Step-by-step explanation:
First write it in point-slope form ( because that is what you are given):-
y - y1 = m(x - x1):-
y - 2 = -4(x - 1)
y - 2 = -4x + 4
y = -4x + 6 (answer)
please help me with these questions
Answers
3. Answer: y = 4
Step-by-step explanation:
Need to find the slope (m):
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\dfrac{4 - 4}{-3-1}[/tex]
= [tex]\dfrac{0}{-4}[/tex]
= 0
Now input ONE of the points (1, 4) and the slope (m = 0) into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 4 = 0(x - 1)
y - 4 = 0
y = 4
********************************************************************
4. Answer: [tex]\bold{y = \dfrac{2}{3}x + 3}[/tex]
Step-by-step explanation:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 1 = \dfrac{2}{3}(x - (-3))[/tex]
[tex]y - 1 = \dfrac{2}{3}(x + 3)[/tex]
[tex]y - 1 = \dfrac{2}{3}x + 2[/tex]
[tex]y = \dfrac{2}{3}x + 3[/tex]
Tey is making a square frame for her painting. She is using 4 pieces of wood that are each 2.75 feet long. How much wood will tenly use to make the frame?
Answers
Answer:
11 feet wood will tenly use to make the frame.
Step-by-step explanation:
As given
Tey is making a square frame for her painting.
She is using 4 pieces of wood that are each 2.75 feet long.
Tenly uses wood to make the frame = Number of pieces of wood × Length of each pieces
Here
Number of pieces of wood = 4
Length of each pieces = 2.75 feet
Put in the above
Tenly uses wood to make the frame = 4 × 2.75
= 11 feet
Therefore 11 feet wood will tenly use to make the frame.
Find the equation of the line parallel to the graph of 14x-7y=1 that passes through the point at (-2,4)
Answers
The equation of the line parallel to the graph of 14x - 7y = 1 that passes through the point at (-2, 4) is y = 2x + 8. The correct option is C.
To find the equation of the line parallel to the graph of 14x - 7y = 1 that passes through the point at (-2, 4), we first need to determine the slope of the given line. We can write the given equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Starting with 14x - 7y = 1, we solve for y:
14x - 7y = 1-7y = -14x + 1y = 2x - 1/7The slope of the original line is 2, so a line parallel to it will also have a slope of 2. Using the point-slope form of a line equation, y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]), and the point (-2, 4), we get:
y - 4 = 2(x + 2)y - 4 = 2x + 4y = 2x + 8Therefore, the equation of the line parallel to 14x - 7y = 1 and passing through (-2, 4) is y = 2x + 8.
Complete Question:
Find the equation of the line parallel to the graph of 14x-7y=1 that passes through the point at (-2,4).
Select the correct response:
[tex]\begin{aligned}A) \:& y=2 x+3 \\B)\: & y=\frac{1}{2} x+3 \\C) \:& y=2 x+8 \\D) \:& y=-\frac{1}{2} x-3\end{aligned}[/tex]
see attachment! please im really stuck!!
Answers
Answer:
Max for g(x) is 3
Max for f(x) is 2
Step-by-step explanation:
The maximum value of a function is the highest value on the graph of the function. It is the greatest value of the function and is always a y value. We can see on the graph that the blue function peaks at 3. The max is 3.
A normal sine or cosine without any transformations has the max of 1. We can see in the equation for f(x) that there is a vertical stretch of 2. So the max here is 2(1)=2.
Please help me!!!!!!!!!!!!!!!!!!
Answers
Answer:
I'm not sure if it is correct but i hope it helps you
Step-by-step explanation:
So you subtract 25 and 15 and you will get 10
then you add 65 and 5 and you will get 70
you add 45 and 20 and you will get 65
Given that a 12 foot long piece of steel pipe weighs 5 pounds per foot, how much does it weigh in kilograms per meter? 1 pound = 0.454 kilograms 1 foot = 0.305 meters A) 6.34 kg/m B) 6.84 kg/m C) 7.44 kg/m D) 7.94 kg/m ( plz answer correct and quick)
Answers
Answer:
1 foot = 0.305 meters.
Convert 1 meter to feet:
1 meter = 1/0.305 = 3.28 feet
Find the weight in pounds per meter:
5 pounds x 3.28 feet = 16.4 pounds per meter.
Convert pounds per meter to kilograms per meter:
16.4 pounds x 0.454 kilograms per pound = 7.44 kg/m
The marker cost 1/3 as a pen.The pen cost 1/3 as much as the book.The book cost 1/3 as much as the game. The price of the marker is what fraction of the price of the game?
Answers
[tex]x = \frac{1}{3} y[/tex]
[tex]y = \frac{1}{3} z[/tex]
[tex]z = \frac{1}{3} w[/tex]
[tex]x = \frac{1}{3} y \\ x = \frac{1}{3} ( \frac{1}{ 3} z) \\ x = \frac{1}{3} ( \frac{1}{3} ( \frac{1}{3} w) \\ x = \frac{1}{27} w[/tex]
An object is thrown upward at a speed of 171 feet per second by a machine from a height of 17 feet off the ground. The height h of the object after t seconds can be found using the equation h = − 16t^2 + 171t + 17
When will the height be 307 feet?
When will the object reach the ground?
Answers
Answer:
Step-by-step explanation:
a) When will the height be 307 feet?
h = − 16t^2 + 171t + 17
307 = − 16t^2 + 171t + 17
Solving the quadratic equation by the general formula (find the plot attached). It reaches 307' twice as it is a parabolic shot.
t=2.1141s
t=8,5734s
b) When will the object reach the ground?
h = − 16t^2 + 171t + 17
0 = − 16t^2 + 171t + 17
t=-0.0985s (not real as there exists no negative time)
t=10.786s
The object will be at a height of 307 feet approximately 9.54 seconds after it was thrown. The object will reach the ground approximately 0.21 seconds after it was thrown.
To find when the height will be 307 feet, you can set the equation for the height h to 307 and solve for t:
h = -16t² + 171t + 17
307 = -16t² + 171t + 17
Now, let's rearrange the equation and set it equal to zero:
-16t² + 171t + 17 - 307 = 0
Combine like terms:
-16t² + 171t - 290 = 0
Now, you can solve this quadratic equation for t. You can use the quadratic formula:
t = (-b ± √(b² - 4ac)) / (2a)
In this case, a = -16, b = 171, and c = -290. Plug these values into the quadratic formula:
t = (-171 ± √(171² - 4 * (-16) * (-290))) / (2 * (-16))
Now, calculate the values for t:
t₁ = (-171 + √(171² - 4 * (-16) * (-290))) / (2 * (-16))
t₂ = (-171 - √(171² - 4 * (-16) * (-290))) / (2 * (-16))
Calculate t₁ and t₂ separately:
t₁ ≈ 9.54 seconds
t₂ ≈ -9.69 seconds
Since time cannot be negative in this context, we discard the negative solution. Therefore, the object will be at a height of 307 feet approximately 9.54 seconds after it was thrown.
To find when the object will reach the ground, you can set h equal to 0 and solve for t:
h = -16t² + 171t + 17
0 = -16t² + 171t + 17
Rearrange the equation:
-16t² + 171t + 17 = 0
Now, solve for t using the quadratic formula as we did before:
t = (-171 ± √(171² - 4 * (-16) * 17)) / (2 * (-16))
Calculate t₁ and t₂:
t₁ ≈ 0.21 seconds
t₂ ≈ 10.30 seconds
Again, you discard the negative solution. So, the object will reach the ground approximately 0.21 seconds after it was thrown.
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Cyrus is inviting 11 friends over for pizza.He would like to have enough pizza so each friend can have 1/4 of a pizza. About how many pizzas should be order?
Answers
11(.25)= 2.75
Cryus should order 3 pizzas.
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
An on-line electronics store must sell at least $5000 worth of computers and printers per day. Each printer costs $350 and each computer costs $750. The store can ship a maximum of 20 items per day. Which system of inequalities models correctly the number of computers, c, and number printers, p, the store could sell per day?
Answers
Answer: D
Step-by-step explanation:
An on-line electronics store must sell at least $5000 worth of computers and printers per day.
"at least" means ≥Each printer costs $350 and each computer costs $750.
350p750cThis equation is: 350p + 750c ≥ 5000
The store can ship a maximum of 20 items per day
"maximum" means "no more than" which is ≤This equation is: c + p ≤ 20
On a factory floor 20 out of every 170 toy robots is defective what percent of toy robots are disaffected round the number to the nearest hundred
Answers
Answer:
We are given that there are total 170 toy robots
Number of defective robots out of total 170 toy robots [tex]=20[/tex]
We have to find the percentage of toy robots that are disaffected.
The percentage of toy robots that are disaffected is given below:
[tex]\frac{20}{170} \times 100[/tex]
[tex]0.1176 \times 100[/tex]
[tex]11.76[/tex]
Therefore, the percent of toy robots that are disaffected is [tex]\bold{11.76\%}[/tex]
which of the following sequences are convergent
Answers
Answer:
option A and E
Step-by-step explanation:
Arithmetic sequence converge, only in the case only when r=0
otherwise , arithmetic sequence goes increasing or decreasing at a constant rate.
So we ignore second and fourth option
If |r|<1 then geometric sequence converge
if |r|>1 then geometric sequence diverge
In option A, r= 1/5 that is less than 1 so it converge
In option C, r= -2 , |r| > 1 so geometric sequence diverge
In option E, r= 2/3 that is less than 1 so it converges
Answer is option A and E