Answers
Answer:
x = 6
Step-by-step explanation:
You want to know the value of x given a tangent to a circle from an external point has length x, while a secant from that point has length x-2 to the first intersection with the circle, and an additional 5 to the second intersection.
Secant/Tangent relationThe product of the segments of the secant to the two points of intersection with the circle is equal to the square of the tangent segment.
(x -2)(x -2 +5) = (x)² . . . . . use given values
x² +x -6 = x² . . . . . . simplify
x -6 = 0 . . . . . . subtract x²
x = 6 . . . . . . add 6
__
Additional comment
There are rules for two secants, for a tangent and secant (as here), and for two chords internal to the circle. These can be easier to remember if you generalize them to a single rule: the product of the distance from the common point to the first circle intersection and the distance to the second circle intersection is the same for each segment.
For a tangent, the two circle intersections are the same point, hence the distance is squared. For chords, the two circle intersections are at the ends of the chords, and the common point is where the chords cross.
Related Questions
Shipping Box Fish Food 11 ft 37 ft 1 ft 1 ft 3 ft 3 ft
Answers
Answer:
Dude post it again lol
Step-by-step explanation:
The picture is so blurry
4 3/8 + 5 1/2= in fractions
Answers
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
X divided by 6/7 = 3 and 2/5
Answers
The correct value of x is 29.14 or x divided by 6/7 = 3 and 2/5 is 29.14.
Here:
X divided by 6/7 = 3 and 2/5.
x ÷ 6/7 = 3 and 2/5,
To convert into fraction.
x/1 ÷ 6/7, reciprocal of 6/7 is 7/6.
x/1 × 7/6 = 7 x/6,
3 and 2/5 = 17/5.
(7 x/6) = 17/5
x = (6 × 17)/7 × 5
x = 29.19
Therefore X divided by 6/7 = 3 and 2/5 or the value of x is 29.19.
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what type of object around in locality
Answers
Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.
The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:
Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.
Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.
Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.
Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.
Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.
Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.
Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.
Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.
Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.
It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.
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(6.2 x 10²) x (3.5 x 10³)
Answers
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
X 1 2 3 4 5 6 7 8
Y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9
regresi linear
Answers
The equation of the linear regression is y = 1.49x- 2.76
How to determine the linear regression equationFrom the question, we have the following parameters that can be used in our computation:
X 1 2 3 4 5 6 7 8
Y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9
Rewrite as
X 1 2 3 4 5 6 7 8
Y 0.5 0.8 1.2 1.9 3 4.8 7.5 11.9
When the points are entered in a graphing calculator, we have
Sum of X = 36Sum of Y = 31.6Mean X = 4.5Mean Y = 3.95Sum of squares (SSX) = 42Sum of products (SP) = 62.6The regression equation is represented as
Regression Equation
ŷ = bX + a
Substitute the known values in the above equation, so, we have the following representation
b = SP/SSX = 62.6/42 = 1.49048
a = MY - bMX = 3.95 - (1.49*4.5) = -2.75714
So, we have
y = 1.49048X - 2.75714
Approximate
y = 1.49x- 2.76
Hence, the regression equation is y = 1.49x- 2.76
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Complete question
Given that
X 1 2 3 4 5 6 7 8
Y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9
Calculate the regression linear equation
The coordinates of the vertices of a polygon are shown on the graph below.
On a coordinate plane, point A is at (negative 4, 3), point C is at (0, negative 3), and point B is at (negative 4, negative 3).
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle
Answers
Answer:
triangle
Step-by-step explanation:
draw the coordinates on a graph
please mark brainliest
Answer:
The person above me is right, To the creator of the question you can give him Brainliest now <3
Step-by-step explanation:
(Triangle)
State where in the ty-plane the hypotheses of the Existence and Uniqueness Theorem are satisfied for the equation y'=(ycot(2t))/(t^2+y^2+1)
Answers
We can conclude that the hypotheses of the Existence and Uniqueness Theorem are satisfied in any rectangular region in the ty-plane that does not contain the curve t² + y² = -1.
Where in the ty-plane the hypotheses of the existence and uniqueness theorem are satisfiedThe Existence and Uniqueness Theorem for first-order ordinary differential equations states that if a differential equation of the form y' = f(t, y) satisfies the following conditions in some rectangular region in the ty-plane:
1. f(t, y) is continuous in the region.
2. f(t, y) satisfies a Lipschitz condition in y in the region, i.e., there exists a constant L > 0 such that |f(t, y₁) - f(t, y₂)| ≤ L|y₁ - y₂| for all t and y₁, y₂ in the region.
then there exists a unique solution to the differential equation that passes through any point in the region.
In the case of the differential equation y' = (y cot(2t)) / (t² + y² + 1), we have:
f(t, y) = (y cot(2t)) / (t² + y² + 1)
This function is continuous everywhere except at the points where t² + y² + 1 = 0, which is the curve t² + y² = -1 in the ty-plane. Since this curve is not included in any rectangular region, we can say that f(t, y) is continuous in any rectangular region in the ty-plane.
To check if f(t, y) satisfies a Lipschitz condition in y, we can take the partial derivative of f with respect to y and check if it is bounded in any rectangular region. We have:
∂f/∂y = cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²
Taking the absolute value and simplifying, we get:
|∂f/∂y| = |cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²|
= |cot(2t) / (t² + y² + 1)| * |1 - (2y² / (t² + y² + 1)))|
Since 0 ≤ (2y² / (t² + y² + 1)) ≤ 1 for all t and y, we have:
1/2 ≤ |1 - (2y² / (t² + y² + 1)))| ≤ 1
Also, cot(2t) is bounded in any rectangular region that does not contain the points where cot(2t) is undefined (i.e., where t = (k + 1/2)π for some integer k). Therefore, we can find a constant L > 0 such that |∂f/∂y| ≤ L for all t and y in any rectangular region that does not contain the curve t² + y² = -1.
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Please break down how to do these pls
Answers
The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.
Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\) 2. 2\(x^{0}\)\(y^{-2}\)
Expression for x =2 and y=5
-4x-2 + 3y0
= -4(2)-2 + 3(5)0
= 16+3
=19
Now
2x0y-2
= 2(2)0x(5)-2
= 2 x (1/25)
= 2 x 0.04
= 0.08
Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
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In how many ways can one select a panel of 15 from 34 people.
Answers
Answer:
1,855,967,520
Step-by-step explanation:
I guess the sequence inside the picked panel of 15 is not important.
then we have combinations :
34! / (15! × (34-15)!) = 34! / (15! × 19!)
= 34×33×32×31×30×29×28×27×26×25×24×23×22×21×20 / 15×14×13×12×11×10×9×8×7×6×5×4×3×2×1 =
= 34×33×32×31×2×29×2×27×2×25×2×23×2×21×2 /
9×8×7×6×5×4×3×2×1 =
= 34×33×4×31×2×29×2×3×2×5×2×23×2×3×2 /
6×4×3×2×1 =
= 34×11×1×31×1×29×1×1×2×5×2×23×2×3×2 =
= 34×31×29×23×11×5×3×2⁴ =
= 34×31×29×23×16×11×5×3 = 1,855,967,520
Question
A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. When
she plants 3 stalks, each plant yields 115 ounces of beans. When she plants 8 stalks, each plant yields 190 ounces of beans.
Write the linear equation, Y(n), that correctly represents this situation.
Provide your answer below:
Y(n)=
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Answers
The equation that represent the given situation is y = 15x + 70
When she plants 3 stalks, each plant yields 115 ounces of beans
The first point = (3, 115)
When she plants 8 stalks, each plant yields 190 ounces of beans
The second point = (8, 190)
The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)
Substitute the values in the equation
The slope of the line m = (190-115) / (8-3)
= 75/5
= 15
The point slope form is
\(y-y_1=m(x-x_1)\)
Choose one point and substitute the values in the equation
y - 115 = 15(x - 3)
y - 115 = 15x - 45
y = 15x - 45 + 115
y = 15x + 70
Hence, the equation that represent the given situation is y = 15x + 70
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The sum of two numbers is -25. One number is 101 less than the other. Find the numbers
Answers
Answer:
-63, 38
Step-by-step explanation:
1st number = x
2nd number = x+101
x+x+101=-25
2x=-126
x=-63
1st number = x = -63
2nd number = x+101 = 38
Answer:
x=38
y= -63
Step-by-step explanation:
x+y=-25
y=x-101
x+(x-101)= -25
2x=-25+101
2x=76
x=76/2
x=38
y=x-101
y=38-101
y= -63
three baskets weigh 120 pounds how many pounds are 4 baskets
Answers
Answer:
160
Step-by-step explanation:
\(\frac{120}{3} = 40\\40*4 = 160\)
If g(x)=4x^2-16 were shifted 5 units to the right and 2 down hat would the new equation be
Answers
Answer:
This is the answer
Step-by-step explanation:
This is the solution, hope it helps
Suppose a power series converges if |6x 12/<78 and diverges if |6x 12| 78 Determine the radius and interval of convergence. The radius of convergence is R =
Answers
The radius of convergence is a-R a+R = 6+12 =18 and 6-12 = -6 for the |6x 12/<78 and diverges if |6x 12| 78.
The set of actual numbers x wherein the collection converges is the c program language period of convergence. If there exists a actual wide variety R such that the collection converges for |x−a|R, then R is the radius of convergence.
The radius of convergence is 1/2 of of the duration of the c program language period of convergence. If the radius of convergence is R then the c program languageperiod of convergence will consist of the open c program languageperiod: (a − R, a + R). To discover the radius of convergence, R, you operate the Ratio Test.
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lindsey is 5 years less than half of her fathers age. the sum of their ages is 79. how old is lindsey? create an equation and solve
Answers
\(Let \: Lindsey's \: father's \: age \: be \: = \: x \)
\(Then \: Lindsey's \: age = \frac{1}{2} x - 5\)
\(Sum \: of \: their \: age = 79 \)
This can be written in an equation as :-\(x + \frac{1}{2} x - 5 = 79\)
\(To \: find \: out \: Lindsey's \: age \: , let \: us \: first \: find \: out \: the \: value \: of \: x .
\)
\(1 \frac{1}{2} x - 5 = 79\)
\( \frac{3}{2} x - 5 = 79\)
\( \frac{3}{2} x = 79 + 5\)
\( \frac{3}{2} x = 84\)
\(x = 84 \div \frac{3}{2} \)
\(x = 84 \times \frac{2}{3} \)
\(x = \frac{168}{3} \)
\(x = 56\)
\(Lindsey's \: father's \: age = 56\)
\(Lindsey's \: age = 28 - 5\)
\(Lindsey's \: age = 23\)
∴Lindsey's age is 23 .
Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city. Parallel lines v and w are crossed by transversal t. Clockwise from top left, the angles formed with line v are 155 degrees, blank, blank, blank; with line w are 1, 2, 3, 4. Examine Carmen’s rail plans to identify the measure of ∠1. The streets represented by lines V and W are parallel. What is the mAngle1? 25° 35° 145° 155°
Answers
Answer:
155
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I took the quiz
pls help me for 15 points
Answers
Answer:
A.
Step-by-step explanation:
Benjamin has $400, and makes $50 per week. Bill has $800 and spends $25 every week. What week will they have the same amount of money, and how
much money will that be?
Answers
Answer:
They won't
Step-by-step explanation:
Benjamin makes 50 per week, and Bill spends 25 per week, here's a table with each week for 10 weeks.
Ben 400, Bill 800Ben 450, Bill 775Ben 500, Bill 750Ben 550, Bill 725Ben 600, Bill 700Ben 650, Bill 675Ben 700, Bill 650Ben 750, Bill 625Ben 800, Bill 600Ben 850, Bill 575Explain how to write an equivalent expression for the expression 3(4x + 2y) + 5x. Be sure to explain which properties you used. What method can you use to prove the 2 expressions are equivalent?
Answers
Answer:
Using multiplicative and additional property .
= 17x +6y
Step-by-step explanation:
3(4x + 2y) + 5x.
Multiplicative property.
Using 3 to multiply what's inside the bracket.
= 3*4x + 3*2y +5x
= 12x + 6y +5x
Addition property.
Collection of all like terms together.
All values with same alphabets are going to be added together
= 12x +5x +6y
= 17x +6y
To prove if 3(4x + 2y) + 5x.= 17x +6y
Let's assume both x and y to be 1
We have
3(4(1) + 2(1)) + 5(1) = 17(1) + 6(1)
3(6)+5=17 +6
23= 23.
Proved.
You (or your parents) purchase a new car for $19,725.00 plus 4.75% sales tax. The down payment is $2,175.00 and you (or your parents) have an average credit rating. How much interest is accrued after the first month?
Answers
Answer:
$90.12
Step-by-step explanation:
The principal amount of the loan is ...
(sale price)(1 + sales tax rate) - (down payment)
= $19,725×1.0475 -2175 = $18,486.94
For a secured loan, the APR charged for an average credit rating appears to be 5.85%, so the interest for the first month is
i = Prt = ($18,486.94)(0.0585)(1/12)
i = $90.12
ay+6+4y-13=26 please solve for y
Answers
Hey there!
\(ay+6+4y-13=26\) Solve for y
Add 7 to both sides:
\(ay+4y-7+7=26+7\\ay+4y=33\)
Factor out y:
\(y(a+4)=33\)
Now divide both sides by a+4:
\(\frac{y(a+4)}{a+4}=\frac{33}{a+4}\\ y=\frac{33}{a+4}\)
Hope this helps!
\(AT2309\)
Answer:
y=\(\frac{33}{a+4}\)
Hope this helps : )
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
Answers
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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what is the negative square root of 81/49 in fraction form
Answers
Answer:
-9/7.
Step-by-step explanation:
√81 = 9 and √49 = 7
but we need the negative square root
which is -9/7.
Find what minimum population size you need to have if you have a 99% confidence, 100 standard deviation and want a size 3 margin of error
Answers
A minimum population size of approximately 7373 to achieve a 99% confidence interval with a margin of error of 3 and a known standard deviation of 100.
How to calculate the minimum population size?To calculate the minimum population size required to achieve a 99% confidence interval with a margin of error of 3 and a known standard deviation of 100, we can use the following formula:
n = [(z-value × SD) / ME]²
Where:
n = the minimum sample size required
z-value = the critical value for the desired confidence level (99% in this case)
SD = the known standard deviation (100 in this case)
ME = the desired margin of error (3 in this case)
First, we need to determine the z-value for a 99% confidence level. Using a standard normal distribution table, we find that the z-value for a 99% confidence level is approximately 2.576.
Substituting the values into the formula, we get:
n = [(2.576 × 100) / 3]²
Simplifying this expression, we get:
n = 7373.08
Therefore, we would need a minimum population size of approximately 7373.
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A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answers
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
Help plz:))) I’ll mark u brainliest ASAP 10 points(:(:!!
....
Answers
Answer:
B
Step-by-step explanation:
I need to do this fast
Answers
you can use photo-math it solves equations with steps
Sam has a deck that is shaped like a triangle with a base of 18 feet and a height of 7 feet. He plans to build a 2:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)
Answers
The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;
Part A; Base length of the new deck = 7.2 feet
Height of the new deck = 2.8 feet
Part B; The area of the original deck is 63 square feet
The area of the new deck is 10.08 square feet
Part C; The ratio of the areas is the square of the scale factor
What is a scale factor?A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.
The base length of the triangular deck = 18 feet
The height of the triangular deck = 7 feet
The scale factor for the scaled version Sam intends to build = 2 : 5
Part A; The dimensions of the new deck are;
Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet
The height of the new deck = (2/5) × 7 = 2.8 feet
Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet
Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet
Part C; The ratio of the areas is; 10.08/63
Ratio of the area = 10.08/63 = 4/25 = 4 : 25
The scale factor is; 2 : 5
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Find area under standard normal curve between -1.69 and 0.84
Answers
Required:
We need to find the area under the standard normal curve between -1.69 and 0.84
Explanation:
We need to find P(-1.69
P-value form z-table is
\(P(x<-1.69)=0.045514\)\(P(x<0.84)=0.79955\)We know that
\(P(-1.69Substitute know values.\(P(-1.69Final answer:0.7540 is the area under the standard normal curve between -1.69 and 0.84.