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:
https://brainly.com/question/14817604
if 5-3(2a+1)=-4a+10, what is the value of a+2
Answer:
-2
BRAINLIEST, PLEASE!
Step-by-step explanation:
5 - 3(2a + 1) = -4a + 10
5 - 6a - 3 = -4a + 10
2 - 6a = -4a + 10
-2a = 8
a = -4
-4 + 2 = -2
Answer:
a+2 = -4+2 = -2
Step-by-step explanation:
5-3(2a+1)=-4a+10
Distribute
5 - 6a -3 = -4a +10
Combine like terms
-6a +2 = -4a +10
Add 6a to each side
-6a+2 +6a = -4a+6a +10
2 = 2a+10
Subtract 10 from each side
2-10 =2a+10-10
-8 = 2a
Divide by 2
-8/2 =2a/2
-4=a
58 round of to the nearest 10
Answer:
58 to the nearest ten is = 60
Answer:
Here is your answer ⤵️
58 rounded to the nearest tens is 60.
Maria has four hours of free time each day. She can spend it studying or working at the Wang's Chinese
Kitchen for $6.50 per hour. Curve A illustrates the trade-off between school grades and the wages Maria
could eam.
What are the maximum wages Maria could eam if she works five days a week?
b. What grades can she expect if she works 10 hours each week?
What advice would you give Maria if she were eaming $50 each week and making Ds?
a
c.
Opportunity cost is the cost of the alternative forgone;
The cost of Maria spending more time on her studies is the wages from working in the kitchen which she does not earn and vice versa
The correct values are as follows:
a. The maximum wages Maria could earn is $130
b. The grades she can expect if she works 10 hours each week is grade C
c. She should make a decision to either quit school or quit her job
d. To become a pharmacists, she should study more and quit her job
To become a restaurant owner/manager, she should develop her restaurant/managerial skills more at the
The reason for the above responses are as follows:
The known parameters are:
The number of hours of free time Maria has each day = 4 hours
The activities Maria can use the four hours for = Studying or working at the Wang's Chinese kitchen
The amount she can earn per hour working = $6.50 per hour
Question a. Required;
The maximum wages Maria could earn working 5 days a week
Solution;
Taking the each unit on the horizontal axis of the attached graph as one day. There are 5 units which equal 5 days
if she works for the five days, she spends all the available time working and she earns maximum wage on the graph which is $130The maximum wages Maria could earn if she works five days a week = $130
b. Required:
The grade she can expect by working 10 hours a week
Solution:
The number of hours available each week = 5 × 4 hours = 20 hours
If she works 10 hours each week, she spends the remaining 10 hours studying which is half of her available time
The grades she can expect by working 10 hours each week (half of her spare time) is giving by the value of the graph at the middle of the of half the length of the horizontal axis values which is grade C
c. Required:
The advice for Maria if she is earning $50 each week and is making Ds
Solution:
If Maria is earning $50 each week, the number of days she is working = One day
The number of days she spends reading = 4 days
In order to improve her grades, she should increase the number of days she spends reading, and therefore, she should spend more than 4 days or the 5 days reading and she should stop working and forgo the $50 for a grade C
Therefore;
Maria has to make a decision to either quit school or quit her job
d. Part of the question that can be included as seen from a similar question online is as follows;
The advice for her if she is interested in becoming a pharmacists or a restaurant owner/manager
If she is interested in becoming a pharmacist, she should stop working and focus on her studies; Quit her job
If she interested in becoming a restaurant owner or manager, she should spend less time reading and spend much of her time at the Wang's Chinese kitchen to develop are restaurant business skills;
Learn more about the production possibility curve here:
here;https://brainly.com/question/15520789
Find the arc length of the partial circle. Either enter an exact answer in terms of π or use 3.14 πpi and enter your answer as a decimal
Answer:
C (circumference) = 2 pi R for circle
A (arc length) = R * theta = pi R = pi * 9 = 28.27
What is the surface area of the rectangular prism formed from this net?
O A. 10.5 in.2
B. 16 in.2
C. 16.5 in.2
Ο Ο Ο
OD. 18 in.2
E 32.5 in.2
Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
fractions when required.
Answer:
[tex]y=\frac{1}{3} x+6[/tex]
Step-by-step explanation:
[tex](3,7)(-6,4)[/tex]
Step 1. Find the slope (by using the slope-formula)
m = slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-7}{-6-3}[/tex]
[tex]m=\frac{-3}{-9}[/tex]
[tex]m=\frac{3}{9}[/tex]
[tex]m=\frac{1}{3}[/tex]
Step 2. Write the equation (using the slope and the points)
Here's how to do it:
Slope-intercept Formula [tex]y=mx+b[/tex] whrere m = slope and b = y-intercept
Plug in the slope into the Slope-intercept Formula
[tex]y=\frac{1}{3} x+b[/tex]
Find the y-intercept (b) by using a point and substituting their x and y values
[tex]y=\frac{1}{3} x+b[/tex]
Point: (3, 7)
[tex]7=\frac{1}{3} (3)+b[/tex]
[tex]7=1+b[/tex]
[tex]b=7-1[/tex]
[tex]b=6[/tex]
Step 3. Write the equation in Slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3} x+6[/tex]
Please help!
Find the value of x for which ABCD must be a parallelogram.
Answer:
x=5
Step-by-step explanation:
5x-8=2x+7
5x-2x=7+8
3x=15
X=15/3
x=5
Answer:
5
Step-by-step explanation:
cause
angle c and angle a are alternate angle and alternate angle are always equal so 5X-8=2x+7
5x-2x=7+8
3x=15
or x=5
Referring to the figure, find the surface area
of the cone shown. Round to the nearest whole number.
Answer:
i believe its 1512mm
Step-by-step explanation:
56mm x 27mm
round 6.7 to the nearest whole number.
Answer:
7[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Name the place value to which each number was rounded 16.932 to 20
Hi :)
Rounded to the tenth place value.
16 to 20
Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. The place value to which 16.932 was rounded is 17.
What do you mean by nearest whole number?Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. Usually, decimal numbers and fractions are rounded to the nearest whole number with the help of the appropriate rules.
To round 16.932 to the nearest whole number consider the tenths’ value of 16.932, which is 9 and equal or more than 5. Therefore, we have to round up the whole number part of 16.932, 16, increases by 1 to 17, and the decimal point and all digits (.932) are removed.
16.932 rounded to the nearest whole number = 17
Therefore, The table ahead contains starting numbers close to 16.932 rounded to the nearest basic counting number.
Hence, the place value to which 16.932 was rounded is 17.
Learn more about Rounding off Number here:
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#SPJ2
The Runwell Company has 8 employees. Five of
the employees earn $12 an hour, two earn $9 an
hour and 1 earns $11 an hour. What is the average
amount per hour that the employees are paid?
Answer:
41
Step-by-step explanation:
i think i dont know that much
La chispa de un relámpago artificial de 10.0 MV libera una energia de 0.125 MW .s ¿Cuántos coulombs de
carga fluyen?
Answer:
nzbzbzZnzbznzbzbzhzhsbsjs
Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.
Answer:
Step-by-step explanation:
M=189
N = 48
A = M*N
A = 189 * 48
A = 9072
URGENT HELP NEEDED
Solve for x.
3x - 29/5= -4
Answer:
[tex]3x - \frac{29}{5} = - 4 \\ 3x = - 4 + \frac{29}{5} \\ 3x = \frac{ - 20 + 29}{5} \\ \\ 3x = \frac{9}{5} \\ x = \frac{9}{5} \div 3 \\ x = \frac{9}{5} \times \frac{1}{3} \\ x = \frac{3}{5} [/tex]
I hope I helped you^_^
PLZ HELP WITH BOTHHHHH
Answer:
(5,2)
(6,-6)
Step-by-step explanation:
What is the relationship between the 6s in 675,002 and 385,621?
Answer:
6647 is a whole. For you to know the relationship between the 6s in this number write their values. The value of the first 6 is 6000. The value of the second 6 is 600.
Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).
Answer:
[tex]y=-3x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y = 4 - 3x\\y = -3x+4[/tex]
Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].
Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,5) and solve for b:
[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]
Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+8[/tex]
I hope this helps!
Multiply -7/-6 x 7 x 1/3 write in simplest form
Step-by-step explanation:
Multiply -7/-6 x 7 x 1/3 write in simplest form
compare and explain.
6. If there are 60 studensts in a class, 20 students are absent. Then, find the percentage of absent students.
Answer:
60:20
100:?x
60×x=100×20
=33.333 %
Please help and please give explanation
Answer: -5 i guess i might b wrong i dont know -5
Step-by-step explanation:
Answer this question please
9514 1404 393
Answer:
A. 500 cm²
Step-by-step explanation:
The height of the piece of cardboard is the same as the height of the prism: 20 cm.
The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.
The area of the cardboard is the product of its height and width.
A = HW
A = (20 cm)(25 cm) = 500 cm²
The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day
Answer:
45000rupees
Step-by-step explanation:
cost of 1 litre of petrol=60rupees
cost of 750 litres of petrol=750×60rupees
=45000rupees
Which of the following expressions is equivalent to the expression below?please help me
Answer: 14x+6
Step-by-step explanation:
by using distribution from the ”2” outside the parenthesis, you simply do
2x7= 14 (add the variable x) so 14x
then you do 2x3= 6
Add -13 + 5. 8 -8 -18 18
Given the form of the equation 3x + 2y = 3 and x – 3y = -10. Then determine the result of 3x - y !
Answer:
-6
Explanation:
x= -1 and y=3
3x- y
=> 3(-1)-3 = -3-3= -6
Answer:
3x – y = -6
Step-by-step explanation:
To solve on the problem above, you can do it by substitution and elimination of the two equations.
3x + 2y = 3
➡️ 3x + 2.3 = 3
➡️ 3x + 6 = 3
➡️ 3x = -3
➡️ x = -1
➡️ 3x – y = 3(-1) – 3
➡️ = -3 – 3 = -6 ✅
Find the value of x.
Answer:
x=60
Step-by-step explanation:
x=180-120
5.4 - (9.5 - 8) - 2.5
(pls help and explain pls)
Answer:1.4
Step-by-step explanation:
Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.
Step-by-step explanation:
your answer
mark me a brainlist[tex](-1)^{2} + 2^{3} -0^{4}[/tex]
Answer:
9Step-by-step explanation:
[tex](-1)^{2} + 2^{3} -0^{4}[/tex]
[tex] = 1 + 8 - 0[/tex]
= 9 (Ans)
