The four steps in constructing a perpendicular bisector are follows.
Find the midpoint of the line segment: To find the midpoint of a line segment, take the average of the x coordinates and the average of the y coordinates. This can be written as a formula: M(x,y) = (x1 + x2/2, y1 + y2/2).
Find the slope of the line: To find the slope of the perpendicular bisector, take the negative reciprocal of the original line segment’s slope. This can be written as a formula: m = -1/m1, where m1 is the original line segment’s slope.
Find the equation of the line: To find the equation of the perpendicular bisector, plug in the slope and midpoint into the point-slope form of a line equation. This can be written as a formula: y – y1 = m(x – x1).
Construct the perpendicular bisector: To construct the perpendicular bisector, draw the line corresponding to the equation found in step 3. The line should be perpendicular to the original line segment, and should pass through the midpoint.
Learn more about perpendicular bisector here:
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What is the board feet of lumber if it has a 2-inch thickness, 3-inch width and length is 7ft?
A. 1
B. 3.5
C.5
D. 7.5
Answer:
B. 3.5
Step-by-step explanation:
2inch×3inch×7ft=board ft
2×3=6inch
7ft=84
6×84=504
504inch³=3.5board ft
#gamer
I am going to repeat myself ONE LAST TIME. Please help!
What is the domain of the function y = StartRoot x EndRoot?
3x - 2y= 5, 4x + 3y= 1
Answer:
x=17 and y=23 DONT SUE ME IF I GET THIS WRONG PLZZ ;-;
Step-by-step explanation:
Answer:
(1, - 1 )
Step-by-step explanation:
Given the 2 equations
3x - 2y = 5 → (1)
4x + 3y = 1 → (2)
Multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y- term
9x - 6y = 15 → (3)
8x + 6y = 2 → (4)
Add (3) and (4) term by term to eliminate y
17x + 0 = 17
17x = 17 ( divide both sides by 17 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
4(1) + 3y = 1
4 + 3y = 1 ( subtract 4 from both sides )
3y = - 3 ( divide both sides by 3 )
y = - 1
solution is (1, - 1 )
Choose the statement that describes a way to solve the equation x – 23 = 18.
Answer:
x-23=18
x=18+23
x=41
Step-by-step explanation:
go to - 23 on the other side after equal to the changed sign and find x
If someone can help that would be great
Answer:
x = 16
Step-by-step explanation:
For the triangle to be isosceles then AB = CB , that is
5x - 9 = 4x + 7 ( subtract 4x from both sides )
x - 9 = 7 ( add 9 to both sides )
x = 16
4x - 8 - 6x + 10 = ?
Answer:
-2x + 2
Step-by-step explanation:
Answer:
-2x+2
Step-by-step explanation:
This is the farthest this expression can be reduced to, there is no way to solve it
Hope this helps (:
5-c=-9c-6
Anyone know the answer?
Answer:
c=-8/11
Step-by-step explanation:
PLEASEEEE I BEG YOU PLZZZ SOMEBODY GIVE ME THE RIGHT ANWSERSS TO THESEEE AND I DONT WNAT ANY WRONG ONES ARE REPORT JUST HELPP CUSE LAST WEEK EVERYBODY GOT IT WRONG!!!!!
Answer:
Step-by-step explanation:
Question 1: C
1 multiplied by 5 = 5
1 plus 5 = 6
So you get: (x+5)(x+1) which means x = -5 or -1
Question 2: B
2 multiplied by -4 = - 8
2 plus -4 = -2
So you get: (x-4)(x+2) which means x = 4 or -2
Which expression is represented by the model?
4X43
-4X-3
-4x+3
Si para introducirun producto al país se pagan $225 por concepto de impuestos y dicho producto cuesta $1,200
Complete question :
si para introducir un producto al país se pagan $225 por concepto de impuestos y dicho producto cuesta $1,200 ¿que porcentaje se cobra por impuesto?
Responder:
18,75%
Explicación paso a paso:
Dado que:
Monto cobrado por impuestos = $ 225
Costo del producto sujeto a impuestos = $ 1200
El porcentaje del precio de costo del producto que se grava:
Sea porcentaje = x%
x% * precio de coste = importe de impuestos
0.01x * $ 1200 = $ 225
12x = 225
x = 225/12
x = 18,75
Por tanto, porcentaje de impuesto = 18,75%
Simplify The Following: -4h + 22 + 6h -7
Answer:
2h + 15
Step-by-step explanation:
-4h + 22 + 6h -7
2h + 22 - 7
2h + 15
Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x^3 + 2.
include the average rate of change in your answer.
Step-by-step explanation:
step 1. we will denote the average rate of change as r.
step 2. r = (f(5) - f(3))/(5 - 3)
step 3. r = (375 - 81)/2
step 4. r = 294/2
step 5. r = 147.
step 6. note: this is just like finding m. m = (y2 - y1)/(x2 - x1)
You have to solve the problem \frac{3}{4}-\frac{1}{8} 4 3 − 8 1 . After you make the denominators the same, what do you do?
FOR ALL MY POINTS
Answer:
If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other
ex. 1/2 - 1/3
make a common denominator (or find the least common multiple)
3/6 - 2/6
subtract the numerators
take 2 from 3 and put that on top.
Solution 1/2-1/3= 3/6-2/6= 1/6
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=47(0.63)
x
Answer:
decay function
percent rate of decrease is 37%
Step-by-step explanation:
I assume the x is the exponent.
[tex] y = 47(0.63)^x [/tex]
The number raised to the exponent x is 0.63 which is between 0 and 1. That means that as x increases, (0.63)^x decreases. That means it is an exponential decay function.
Each unit more in x results in 0.63 being multiplied by the number.
Since 1 - 0.63 = 0.37, the percent rate of decrease is 37%.
Answer:
decay function
percent rate of decrease is 37%
Logan ran a 200-meter rase in 25.24 seconds, and Scott ran 0.4 kilometer in 52.77 seconds. Who ran faster, Logan or Scott? And at what rate did they run meters per second
i need help what is 5/6 divided by 3? any good answers ??
Answer: 5/18
Step-by-step explanation:
Answer:
1 remainder 2 or 1 2/3
Step-by-step explanation:
this is the answer
The following list has a median of 43. What would be the new median if 21 was added to the list?
31, 48, 50, 23, 28, 52, 57, 38, 56, 27
Answer:
34.5
Step-by-step explanation:
21,23,27,28, 31, 38, 48, 50, 52, 57
31+38=69
69/2=34.5
PLEASE HELP!!!!!!!! Identify the angle of elevation.
Answer:
8
Step-by-step explanation:
Hope it helps you in your learning process.
When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Estimate the rocket's distance (Find the missing side of triangle).
Answer:
About 51.6 feet
Step-by-step explanation:
50^2+13^2
Square root of 2669 is 51.66236541
help please!!!!!!!!!!!!!!!!!! Examine the diagram.
2 lines intersect a horizontal line to form 3 angles. The angles are 1, 90 degrees, 2.
Which statement is true about angles 1 and 2?
Angles 1 and 2 are complementary.
Angles 1 and 2 are vertical.
Angles 1 and 2 are supplementary.
Angles 1 and 2 are adjacent.
Answer:
a
Step-by-step explanation:
Answer:
the answer is a
:) :) :)
Step-by-step explanation:
5x = 4x + 7 .....................................
Answer:
x=7
Step-by-step explanation:
do the math lol
what is the answer. (11 x -8) + 7(x - 1) can you explain the answer in a sensible way. Thank you
Algebra question
Answer:
11x-8+7x-7
11x+7x-8-7
18x-15
Step-by-step explanation:
pregón de servicio
kjjj
Answer:
what
Step-by-step explanation:
Write an equation that models the linear relationship in the graph below
Answer:
y=-4/7x+4
Step-by-step explanation:
hope this helps
Answer:
4/7+4=y
Step-by-step explanation:
y=mx+b
Find the measure of Angles A, C, D
Answer:
A= 65 C= 65 and D= 115
Step-by-step explanation:
given a parallelogram .
interior angles sum is 360 degree.
sum of adjacent angles is 180degree.
opposite angles are congruent (B=D).
A + B + C + D = 360
(A + D) + C + 115 = 360 since A and D are adjacent angles .
180 + 115 + C = 360
295 + C = 360
C = 360 - 295
C = 65
D = 115
A = 65
a+b+c+d=360
65 + 65 + 115 + 115 = 360
130 + 230 = 360
360 = 360
A ladder is leaning against a building. The distance from the bottom of the
ladder to the building is 20 ft shorter than the length of the ladder. How high
up the side of the building is the top of the ladder if that distance is 10 ft less
than the length of the ladder?
Solve the expression:
14. What is 3y +4; when y=2
15. What is 4x + x-10; whenx=6
ASAP pls
Answer:
3*2+4=6+4=10 and 4*6+6-10=24+6-10=30-10=30
Si tenemos un cuadrado cuyos lados miden 1/3 en 7 partes iguales, ¿Cuál es su área?
Answer:
English please?
Step-by-step explanation:
...........
Kadin and Silas went to a movie that started at 1:55 p.m. and got out at 4:10 p.m.
How long was the movie?
O A. 3 hr. 15 min.
O B. 2 hr. 55 min.
C. 3 hr. 45 min.
O D. 2 hr. 15 min.
E. 2 hr. 65 min.
Answer:
D
Step-by-step explanation:
4.10pm-1.55pm
=3.70pm-1.55pm
=2hr15min
Aunt Martina is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Sparrowtown Bakery charges $2 for each cupcake, plus $50 for the large cake. Dakota's Sweet Shoppe charges $44 for the large cake and $4 for each cupcake. If Aunt Martina orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be? How many cupcakes would that include?
Answer:
3 cupcakes
Total of $56
Step-by-step explanation:
First we would need to create an expression for the total of each bakery, which would be the following with x representing the number of cupcakes.
2x + 50
4x + 44
Since we know that the total for both bakeries was the same we can simply make the expressions equal to one another and solve for x.
2x + 50 = 4x + 44 ... subtract 2x on both sides
50 = 2x + 44 ... subtract 44 on both sides
6 = 2x ... divide both sides by 2
3 = x
Finally, we can see that at 3 cupcakes the total for both bakeries will be the same and be a total of
2(3) + 50
6 + 50
$56