If the segments are congurent they are of equal length.
So constructing an equation will not be hard.
Take for example [tex]y=x[/tex] and limit x to be between and including 0 and 1 for the first segment. In this case our segment is [tex](a,b)\to(c,d)=(0,0)\to(1,1)[/tex].
Now, d has been fixated to the value of 1 and we need to construct a segment from [tex](1,e)\to(1,f)[/tex].
Since both x coordinates of the endpoints of the segment are fixed to be 1, we cannot run anymore, that is, we fixated our run. But on the rise (y-axis direction) we can still move one unit up.
Let e be 1 and f be 2. The distance between [tex](1,1)[/tex] and [tex](1,2)[/tex] is 1 which is also the distance between [tex](0,0)[/tex] and [tex](1,1)[/tex].
Now we are asked to find the equation of both segments.
First segment is described by [tex]y=x[/tex] with limited domain of [tex]0\leq x\leq1[/tex].
Second segment is described by [tex]x=2[/tex] with again limited domain of [tex]1\leq y\leq2[/tex].
Hope this helps :)
The length, l of a segment with points (x₁, y₁), and (x₂, y₂) is presented as follows; [tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
An equation that can be created given that the segment with points (a, b) and (c, d), and the segment with points (d, e), and (d, f) are congruent is presented as follows;
√((d - b)² + (c - a)²) = f - e
The reason the above equation is correct is presented as follows;
Given that the segments are congruent, therefore;
Length of (a, b) and (c, d) = Length of (d, e) and (d, f)
Length of (a, b) and (c, d) = √((d - b)² + (c - a)²)
Length of (d, e) and (d, f) = √((f - e)² + (d - d)²) = f - e
Which gives the equation;
√((d - b)² + (c - a)²) = f - e
Learn more about segments in the coordinate plane here:
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Find the quotient.
154 divided by 14
Answer:
11
Step-by-step explanation:
[tex]\frac{154}{14} =11\\\\check: 11*14=154[/tex]
154 divided by 14 equals 11.
To find the quotient of 154 divided by 14, we perform long division as follows:
11
14 | 154
First, we consider how many times 14 can be divided into 15, which is 1. We write the quotient, 1, above the line.
Next, we multiply 14 by 1, which equals 14. We subtract 14 from 15, resulting in 1. We bring down the next digit, which is 4.
We now consider how many times 14 can be divided into 14, which is 1. We write the quotient, 1, next to the 1 above the line.
Multiplying 14 by 1 gives us 14. Subtracting 14 from 14 gives us 0.
Since there are no more digits to bring down, we can conclude that the quotient is 11.
Therefore, 154 divided by 14 equals 11.
Long division is a method used to find the quotient and remainder when dividing two numbers. It involves dividing, multiplying, subtracting, and bringing down digits until there are no more digits to bring down. In this case, the quotient is 11, indicating that 154 can be divided by 14 precisely 11 times without any remainder.
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Hence, find the values of y that satisfy the equation 2y-1)2 – 7(y – 1) + 4 = 0.
Answer:
y=3
Step-by-step explanation:
(2y-1)2-7(y-1)+4=0
4y-2-7y+7+4=0
9-3y=0
9=0+3y
9=3y
9/3=y
y=3
jane bought two new skirts for school. one cost 15 less than twice the cost of the total cost for both skirts was 75, what was the cost of each skirt?
E is the mid point of DF. If DE= 7x. What is the length of DE
Answer:
I think you're missing information and don't you mean "what's the length of DF?"
Plane P is a cross-section of the solid below. What shape is the cross section?
A. not enough information
B. rectangle
C. hexagon
D. pentagon
A rectangle exists as a quadrilateral with four right angles Option B. rectangles the cross section.
What is rectangle?
In Euclidean plane geometry, a rectangle exists as a quadrilateral with four right angles. It can also be described as an equiangular quadrilateral since equiangular compromises that all of its angles exist equal, or a parallelogram including a right angle. A rectangle with four sides of equivalent length exists as a square.
In mathematics, solid geometry or stereometry exists the traditional name for the geometry of three-dimensional, Euclidean spaces. Stereometry accords with the dimensions of volumes of different solid figures, including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bordered by spheres.
Hence,Option B. rectangles the cross section.
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If a set contains 15 proper subsets then number of elements in that set
Answer
32,768
Step-by-step explanation:
Ryan, a consumer electronics salesperson, earns a base salary of $1100 per month and a commission of 8% on the amount of sales he makes. One month Ryan received a $1492 paycheck. Find the amount of his sales for the month.
Which of the following is the smallest number?
O 7.8* 102
O 2.36 * 10-3
O 1.94 * 105
04.19* 109
i need to know whether it is the minimum or maximum function and what that number is as well as where x axis intercepts the quadratic graph . i need to know if there are any roots in the quadratic graph, and i need to know when y=1 , the value of x could be x= or x=
Answer:
The minimum value of this quadratic function is -4.
At the point (-4, 0), the x-axis intercepts with the quadratic graph.
There is 1 root of this quadratic equation.
Approximately, when y=1, the x value could be -5 or -3.
write 0.8 as a fraction in simplest form.
The answer would be 8/10, but the simplified answer would be 4/5. I hope this helped answer your question for you. Enjoy your day, and take care!
Been stuck on this one. Sos
Answer:
B. 50%
Step-by-step explanation:
7/20 = 35%
35% + 15% = 50%
100% - 50% = 50%
HELPPPP FASTTTT PLEASEEE!!!!!!!
Answer:
35 mph
Step-by-step explanation:
70/2 = 35
Root 12 of Rood 12, see attached document
6. In the triangle ABC, AB = 7 cm, BC = 8 cm and ABC = 90°. Point P lies inside the triangle such that BP = PC = 5 cm. Find:
a) the perpendicular distance from P to BC
b) the length AP.
GUYS HELP!
Answer:
Step-by-step explanation:
The sum of 7/4 and pi i
Hi! I'm happy to help!
To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:
[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]
This is how you write it.
If you want to solve it, you need to know what pi is. pi is 3.14159...
It goes on forever, but we cane round to the nearest ten thousandth.
From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4
Now, we solve our equation:
[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]
[tex]\frac{7}{4}[/tex]+3.14159
1.75+3.14159
4.89159
This is what the answer to the expression is.
I hope this was helpful, keep learning! :D
Find the 50th term of the following
arithmetic sequence 5, 9, 13, 17?
Answer:
201
Step-by-step explanation:
First you need to know the position to term rule and to find this you use a formula which is:
tn = an + b
Where tn is the term number, a is the difference between the other terms.
So the tposition to term rule here is 4n+1.
Then we substitute n for the value 50 making it 4(50) + 1 = 201.
201 is the 50th term
Use a commutative property to write an equivalent expression.
7x + y
9514 1404 393
Answer:
y +7x
Step-by-step explanation:
The commutative property of addition lets you swap the order of the two terms:
7x +y = y +7x
The commutative property of multiplication lets you swap the order of the factors.
7x +y = x·7 +y
Write an absolute value equation with-1 and 5 as the solution.
Answer:
it is detailed solution. please mark brainlest.
Thank you have a nice day
The equation of the absolute function that has the solutions of -1 and 5 will be |x - 2| = 3.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x |
The solutions of the absolute function are -1 and 5. Then the equation of the absolute function will be
x = -1, 5
Subtract -2 from both sides, then we have
x - 2 = -3, 3
Then apply Mode on both sides, then the equation will be
|x - 2| = 3
The equation of the absolute function that has the solutions of -1 and 5 will be |x - 2| = 3.
More about the absolute function link is given below.
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List the domain and range of the relation {(1, -9), (8,8), (0, -9), (8, 1), (1,9)}
Answer:
D={1, 8,0}
R={-9, 8,1,9}
Step-by-step explanation:
Here,
we, know, domain(D) =set of all first elements
thus, D={1,8,0}
again, range(R) =set of all second elements
thus R={-9,8,1,9}
Question is in the picture
9514 1404 393
Answer:
x = 3y = 9Step-by-step explanation:
Congruent sides are the same length.
AB = DF
3(2x +10) = 12x +12
6x +30 = 12x +12 . . . . eliminate parentheses
18 = 6x . . . . . . . . . . . . subtract 6x+12
3 = x . . . . . . . . . . . . . divide by 6
__
BC = FG
2y +12 = 2(2y -3)
y +6 = 2y -3 . . . . . . . divide by 2
9 = y . . . . . . . . . . . . subtract y-3
Determine the equation of the perpendicular bisector of the segment with endpoints (–5, 3) and (5, 5).
Answer:
y = –5x + 4
Step-by-step explanation:
i had this question
A shop in the mall is 6 yards by 11 yards. How much would it cost to recarpet the shop with carpet that costs $5.00 per square yard?
Answer:
$330
Step-by-step explanation:
To find the total area of the shop do 6 times 11
6*11 = 66 sq. yards
Now, do 5 * 66 because one yard is $5
5 * 66 = 330
It costs $330
A statement that consistently and correctly describes a natural phenomenon is a scientific.
A. Control
B. Theory
C. Hypothesis
D. Observation
Help please ASAP!!!!!
Answer:
answer is c because you gota tranlate it left
Step-by-step explanation:
What is the cube of the cube root of 27?
Answer:
[tex] { \sqrt[3]{27} }^{3} \\ we \: can \: solve \: this \: in \: two \: ways \\ 1)cube \: root \: means \: power \frac{1}{3} \\ so \: { \sqrt[3]{27} }^{3} = { {27}^{ \frac{1}{3} } }^{3} = {27}^{ \frac{3}{3} } = 27 \\ 2) { \sqrt[3]{27} }^{3} \\ \sqrt[3]{27} = 3 \\ so \: {3}^{3} = 27 \\ thank \: you[/tex]
How many cubes of side 2cm can be fitted into a box 12 cm long, 8cm wide and 4cm high?
Answer:
there are 48cubes fetted into a box
Lindsay prepared 9 containers of fruit punch for a party. After the party, there were still 4 4/9 containers of fruit punch left. How many containers were consumed in the party?
Turn 9 into [tex]\frac{81}{9}[/tex]. Then, convert 4 [tex]\frac{4}{9}[/tex] into a improper faction ( [tex]\frac{40}{9}[/tex] ). Then, subtract
[tex]\frac{81}{9} - \frac{40}{9} = \frac{41}{9}[/tex]. Lastly, convert [tex]\frac{41}{9}[/tex] to a mixed fraction ( [tex]4\frac{4}{9}[/tex] ).
Your answer is [tex]4\frac{4}{9}[/tex].
Where do you graph 0, -1 and -1, 0 on a the coordinate plane? Please help asap
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\vector(1,0){4}}\put(0,0){\vector(-1,0){4}}\put(0,0){\vector(0,-1){4}}\put(0,0){\vector(0,1){4}}\put(0,-1){\circle*{0.5}}\put(-1,0){\circle*{0.5}}\end{picture}[/tex]
View it from web .
Answer all questions olve the following logarithmic ec 2 log10 x + log103 = log10 75
[tex]2 log_{10}x + log_{10}(3) = log_{10}(75) [/tex]
Step-by-step explanation:
We can rewrite the left-hand side as
[tex]2\log{x} + \log{3} = \log{3x^2}[/tex]
Here, we used the following properties of logarithms:
[tex]\log{x^a} = a\log{x}[/tex]
[tex]\log{ab} = \log{a} + \log{b}[/tex]
We can then write
[tex] \log{3x^2} = \log{75} \Rightarrow 3x^2 = 75[/tex]
or
[tex]x = 5[/tex]
can i use a cash counter as a cashier. As in a website on my phone that tells me the exact change to give out to a person