I need help!
Secant DB intersects secant DZ at point D. Find the length of DA.
Answers
Answer:
[tex]DA=3[/tex]
Step-by-step explanation:
We have been given an image of a circle and we are told that Secant DB intersects secant DZ at point D.
We will use intersecting secants theorem to solve our given problem.
Intersecting secants theorem states that if two secants say MN and KL intersect at a point 'X' outside the circle, then product of XN and MX equals the product of XL and KX.
Using intersecting secants theorem we can set an equation as:
[tex]DA\cdot DB=DY\cdot DZ[/tex]
Upon substituting our given values in above equation we will get,
[tex]3x\cdot (3x+8)=x\cdot (32+x)[/tex]
Upon dividing both sides of our equation by x we will get,
[tex]\frac{3x\cdot (3x+8)}{x}=\frac{x\cdot (32+x)}{x}[/tex]
[tex]3\cdot (3x+8)=32+x[/tex]
Upon using distributive property [tex]a(b+c)=a*b+a*c[/tex] we will get,
[tex]9x+24=32+x[/tex]
[tex]9x-x+24-24=32-24+x-x[/tex]
[tex]8x=8[/tex]
Upon dividing both sides of our equation by 8 we will get,
[tex]\frac{8x}{8}=\frac{8}{8}[/tex]
[tex]x=1[/tex]
Since the length of DA is 3x, so upon multiplying 3 by 1 we will get,
[tex]\text{Length of DA}=3\cdot 1=3[/tex]
Therefore, the length of DA is 3 units.
Related Questions
Which of the following best describes the dependent variable?
Answer The variable that responds to change.
The variable that is deliberately changed.
The variable kept constant.
The treatment in an investigation.
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What is 5 3/20 as a decimal?
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the lines below are parallel. if the slope of the green line is -3, what is the slope of the red line
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What is the absolute value of -5.75 ?
Answers
absolute value measures how far away a value is from 0 on a number line. |1| and |-1| both have an absolute value of 1, because if you graphed them on a number line you'd see that they're both 1 unit away from 0. although -5.75 would be on the left, or negative side, of the 0 on a number line, it is still exactly 5.75 units away, and that's what absolute value measures.
why do bees have sticky hair
Answers
Answer:
From the honey, and pollen
Step-by-step explanation:
What's the answer ??? Someone please help me
Answers
→ Consider rounding to 22.43 mi.
_______________________________________________________
(Note: Do not forget the units, in "miles", which can be abbreviated as: "mi.").
____________________________________________________________________
Explanation:
_____________________________________________________________________
Let us assume that, at the beginning, Joan is leaving her own house to pick up Kash, first.
_____________________________________________________________________
Then, the answer to our problem is the sum of the length of all sides of the triangle given, remember that each "unit" on the graph represents miles.
_____________________________________________________________________
We can solve this using the Pythagorean theorem:
_____________________________________________________________________
a² + b² = c² ; in which: c = the distance from Joan's house to Kash's house;
b = the distance from Kash's house to Gary's house;
a = the distance from Gary's house to Joan's house;
_____________________________________________________________________
Our answer is the sum of: "a + b + c".
_____________________________________________________________________
Using the graph, we can the determine the values for: "a" and "b";
Using the Pythagorean theorem, we can determine the value for "c";
then we can add: "a + b + c" to determine our answer.
_____________________________________________________________________
From inspecting the graph:
_____________________________________________________________________
b = the distance from Kash's house to Gary's house = 8 mi. [miles] ;
a = the distance from Gary's house to Joan's house = 5 mi. [miles] ;
__________________________________________________________
Using the Pythagorean theorem, we want to solve for "c":
__________________________________________________________
a² + b² = c² ; We substitute our known values for "a" and for "b" :
_____________________________________________________
5² + 8² = c² ; Simplify:
_____________________________________________________
25 + 64 = c² ;
89 = c² ; Take the positive square root of both sides to solve for "c";
_______________________________________________________
√89 = √(c²) ; c = √89 = 9.4339811320566038
_______________________________________________________
Now, we can find our answer:
_______________________________________________________________
a + b + c = 5 + 8 + (9.4339811320566038) = 22.4339811320566038 mi.
→ Consider rounding to 22.43 mi. ;
which is our answer.
_________________________________________________________________
(This is my little sister's homework, she needs help!)
Katrina is 69.75 inches tall. Her best friend, Allison, is 64.85 inches in height. How many inches taller is Katrina than Allison?
A) 4.10
B) 4.90
C) 5.10
D) 5.90
Answers
Hope that helped :)
Answer: B) 4.90
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Katrina: 69.75 inches tall Allison: 64.85 inches tall.Since Katrina is taller than Allison, to calculate the how many inches taller is Katrina than Allison, we have to subtract Allison’s height to Katrina’s height:
Mathematically speaking:
69.75 -64.85 = 4.9 inches.
If x > 1, then which of the following has the LEAST value?
Answers
If x > 1, then the expression (0.25 - x) will have the least value when x is equal to 1.
Explanation:If x > 1, then the expression (0.25 - x) will be negative. When comparing negative values, the one with the least absolute value will have the least value. Therefore, to find the expression with the least value, we want to find the largest negative value for (0.25 - x). Since x > 1, the largest negative value for (0.25 - x) would occur when x is closest to its minimum value, which is 1. Therefore, the expression (0.25 - x) will have the least value when x is equal to 1.
What is the factor of 40?
Answers
Which lines are parallel if m4 = m5? Justify your answer.
Answers
Answer:
r and s are parellel
Step-by-step explanation:
The correct answer is that lines 4 and 5 are parallel if [tex]\( m_4 = m_5 \).[/tex]
To justify this answer, we must understand the concept of slope in the context of lines in a plane. The slope of a line, denoted by m is a measure of its steepness and is defined as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. Mathematically, if two points on a line have coordinates [tex]\( (x_1, y_1) \)[/tex] and [tex]\( (x_2, y_2) \),[/tex] then the slope m is given by: [tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex] For two lines to be parallel, they must have the same slope. This is because parallel lines have the same steepness and never intersect. Therefore, if the slope of line 4, [tex]\( m_4 \)[/tex], is equal to the slope of line 5, [tex]\( m_5 \)[/tex], then lines 4 and 5 are parallel. In mathematical notation, if [tex]\( m_4 = m_5 \),[/tex] then line 4 and line 5 are parallel, which can be written as: [tex]\[ m_4 = m_5 \Rightarrow \text{Line 4} \parallel \text{Line 5} \][/tex] This conclusion is based on the fundamental properties of slopes and parallel lines in Euclidean geometry. If the slopes of two lines are equal, it means that they rise and run at the same rate, and thus, they will maintain a constant distance from each other, never intersecting, which is the definition of parallel lines.
Answer correctly for brainliest and also get a thanks ! Don't answer if you don't know it please !
Answers
First, you have to find the area of the rectangle. I guess, just now,
that means the one who has to do that is me.
We know that it's a rectangle, because they told us so.
The corners are located at
(1, 4)
(4, 7)
(8, 3)
and
(5, 0).
Do you remember how to find the distance between 2 points ?
Distance = √ (difference-in-'x' ² + difference-in-'y' ²)
The distance between the first 2 points is √(3² + 3²) = √18
The distance between point-2 and point-3 is √(4² + 4²) = √32
The distance between point-3 and point-4 is √(3² + 3²) = √18
The distance between point-4 and point-1 is √(4² + 4²) = √32 .
Notice that it wasn't really necessary to find all four distances.
As soon as I found the first two distances, I knew that one is the length
of the rectangle and the other one is the width of the rectangle, so I didn't
have to bother finding the other two, because I knew that they would be
the same as the first two. I just did it anyway, to make SURE that they
were the same. That helped me be sure that I didn't make any mistakes.
So here we are, outstanding in our field. (Actually, in Ms. Stone's field.)
We have a rectangle with a length of √32 units and a width of √18 units.
The area of any rectangle is (length) · (width)
= (√32 units) · (√18 units)
= √(32 · 18) units²
= √ (576) units²
= 24 units² .
We also know that each square unit on the map indicates 16 acres.
So the actual area of the field is
(24 units²) · (16 acres/unit²) = 384 acres .
Ms. Stone sold the field for $858,240 .
The unit sale price was
($858,240) / (384 acres) = $2,235 / acre .
Ms. Stone can now move into the city and live the life of a rich lady.
Describe how the graph of y=log (10 000x) is related to the graph of y=log x
Answers
hence log(10000x) = log 10000 + log x but we know that log 10000 = 4
= 4 + log x
therefore the graph of log(10000x) is just the graph of log x transposed by 4
graph of y=log (10 000x) is related to the graph of y=log x is transposed by 4 units.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given graphs of y=log (10 000x)
y equal to ten thousand of x
We know a property of log.
logab=loga+logb
Log ab equal to log a plus log b.
So log (10 000x) =log 10000+log x
=4+logx
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
So the graph of log (10 000x) is transposed by 4 units.
Hence graph of y=log (10 000x) is related to the graph of y=log x is transposed by 4 units.
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I do not understand how to do this problem please help!
6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
The first month they made 1200 and the second month they made 1500...
graph a line using the slope-intercept form:
Manipulate the equation into slope-intercept form, y = mx + b.
Identify and plot the y-intercept of the line. Remember, the y-intercept is b. Don't forget: The sign goes with the number.
Identify and use the slope of the line to find a second point. Remember, the slope is m. Don't forget: Starting at the y-intercept, the numerator tells you the rise (count up if positive and down if negative), the denominator tells you the run (count right.)
Draw a straight line through the two points to complete the graph.
Linear Functions:
A linear function is a function that is defined by a linear equation.
To write a linear function with function notation, first write it in slope-intercept form, and then replace y with f(x).
The graph of a linear function is all points (x, f(x)), where x is in the domain of the function.
Answers
I hope it helps.
what are the 12 numbers of pi
Answers
if i helped can you mark me as brainliest answer please
3.141592653589
i need 20 characters
On a certain day the temperature in new york city was -4c and the temperature in austin was 10c. how many degrees lower was the temperature in new york city.
Answers
hope this helps you
Answer:
14 degress below
Step-by-step explanation:
integrate (sqrt((x-1)/x^5)) using substitution (no trig substitution) ...?
Answers
Substitution:
u = 1 - 1/x
d u = 1/x² dx
[tex] \int { \frac{1}{ x^{2} } * \sqrt{1-1/x} } \, dx= \\ = \int { \sqrt{u} } \, du= \\ =2/3u \sqrt{u}= \\ =2/3(1-1/x) \sqrt{1-1/x}+C [/tex]
Solve for B.
R = x(A + B)
a. B = (R - A)/x
b. B = (A - Rx)/x
c. B = (R - Ax)/x ...?
Answers
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
in which area of the brain does mathematical processing occur?
Answers
Mathematical processing involves various cognitive processes and can engage multiple areas of the brain. However, certain brain regions are commonly associated with mathematical processing such as Parietal Cortex
In which area of the brain does mathematical processing occur?Parietal Cortex: The parietal cortex, specifically the intraparietal sulcus, plays a crucial role in numerical processing, spatial processing, and quantity representation.
Frontal Cortex: The frontal cortex, particularly the dorsolateral prefrontal cortex, is involved in problem-solving, logical reasoning, and working memory, which are essential for mathematical processing.
Angular Gyrus: The angular gyrus, located in the parietal lobe, is involved in mathematical thinking, number processing, and mathematical reasoning.
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There are $3.90 worth of nickles and quarters in a piggy bank. There are 6 more quarters than nickels.
How many of each coin are in the piggy bank?
Enter your answers in the boxes.
_____ nickels and ____ quarters
Answers
For this case, the first thing we must do is define variables.
We have then:
x: number of nickles
y: number of quarters
We now write the system of equations.
We have then:
[tex] 0.05x + 0.25y = 3.90
y = x + 6
[/tex]
Solving the system of equations graphically we have:
[tex] x = 8
y = 14
[/tex]
Answer:
8 nickels and 14 quarters
Note: see attached image for the graphic solution.
Answer: There are 8 nickels and 14 quarters.
Explanation:
Since we have given that
there are $3.90 worth of nickles and quarters in a piggy bank.
Let the number of nickles be x
Let the number of quarters be x+6
As we know that
[tex]1\ nickle=0.05\ dollars\\\\and\\\\\ 1\ quarter=0.25\ dollars[/tex]
According to question,
[tex]0.05x+0.25(x+6)=3.90\\\\0.05x+0.25x+1.5=3.90\\\\0.3x=3.90-1.5\\\\0.3x=2.4\\\\x=\frac{2.4}{0.3}=8\\\\and \\\\x+6=8+6=14[/tex]
Hence, there are 8 nickels and 14 quarters.
A computer virus is eating disk space. during the first day it eats 1/2 of the disk. during the second day, it eats 1/3 the remaining disk space. the third day it eats 1/4 of what still remains and the fourth day it eats 1/5 of what is left. what fraction of the original disk space remains intact?
Answers
Which power has a value of 1?
Choose all the correct answers.
1^4
2^3
3^2
4^1
5^0
Answers
5^0=1
1^n=1
answer is 1^4 and 5^0
if you were to place $2,500 in a savings account that pays 5% interest compounded continuously, how much money will you have after 10 years? assume you make no other deposits or withdrawals.
Answers
A recent poll asked 82 college students 7 questions about their experience at college. When asked their age only 58 responded.
A. Self interest
B. Correlation and casualty
C. Loaded questions
D. Nonresponse
Im stuck between self interest or Nonresponse
Answers
Its improbable that half the population didn't respond due to self-interest.
Nonresponse. The others might occur, but with this degree of nonresponse inferences to the entire population cannot be made.
The public library has fewer than 4,000 books.
Let b represent the number of books in the library.
Which inequality describes the number of books?
b < 4,000
b > 4,000
b ≤ 4,000
b ≥ 4,000
Answers
Answer: The correct option is (A) b < 4000.
Step-by-step explanation: Given that the public library has fewer than 4,000 books.
We are to select the inequality that describes the number of books in the library.
The number of books in the library is represented by b.
According to the given information, the inequality hat describes the number of books in the library is given by
[tex]b<4000.[/tex]
Thus, (A) is the correct option.
Show that f is strictly monotonic on the given interval and therefore has an inverse function on that interval: f(x) = cot(x), (0,pi)
Answers
Hope This Helped!!! :)
To show that f(x) = cot(x) is strictly monotonic on the interval (0,pi), we need to show that the derivative of f(x) is either strictly positive or strictly negative on that interval.
Explanation:To show that f(x) = cot(x) is strictly monotonic on the interval (0,pi), we need to show that the derivative of f(x) is either strictly positive or strictly negative on that interval.
The derivative of f(x) can be found using the chain rule as follows:
Find the derivative of cot(x): d(cot(x))/dx = -csc^2(x)Since f(x) = cot(x), the derivative of f(x) is -csc^2(x).Now, let's consider the interval (0,pi). The function f(x) = cot(x) is defined on this interval, and its derivative -csc^2(x) is strictly negative for all x in (0,pi). Therefore, f(x) is strictly decreasing on the interval (0,pi), which means it is strictly monotonic.
Since f(x) is strictly monotonic on the interval (0,pi), it has an inverse function on that interval. The inverse function of f(x) is denoted as f^{-1}(x).
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Chelsea has a beginning balance of $715 in her checking account. She writes two checks for $320 and $640. She has a deposit of $400 and an overdraft fee of $29. What is her new balance?
$126
$2104
$1094
$184
Answers
A "bit" is 1/8 of a dollar. How many bits are in a dollar.
Answers
There are 8 bits in a dollar.
We have,
If a "bit" is defined as 1/8 of a dollar, we can calculate the number of bits in a dollar by dividing the dollar amount by the value of a bit.
1 dollar / (1/8) bit = 1 dollar * (8/1) bit
Simplifying the equation:
1 dollar * 8 bits = 8 bits
Therefore,
There are 8 bits in a dollar.
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You roll 2 dice. You can use a tree diagram to calculate the probability that the sum of the dice is an even number. true or false? ...?
Answers
2. Construct a line that is perpendicular to line m and that passes through point P.
Answers
(Apologies since this is extremely late; hopefully this helps future people who need help with this question.)
Answer:
The image below would be the correct construction :)
On simplifying (-3y2 − 8) − (-5y2 + 1), we get y2 − .
Answers
-3y^2 - 8 + 5y^2 - 1 =
2y^2 - 9
-3y^2 - 8 + 5y^2 - 1 =
2y^2 - 9