Answer:
[tex]y=-2x-4[/tex]
Step-by-step explanation:
Perpendicular Bisector
The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.
The midpoint (xm,ym) is calculated as follows:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:
[tex]\displaystyle x_m=\frac{-3+5}{2}=1[/tex]
[tex]\displaystyle y_m=\frac{-8-4}{2}=-6[/tex]
Midpoint: M(1,-6)
Let's find the slope of the given segment. The slope can be calculated with the formula:
[tex]\displaystyle m_1=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle m_1=\frac{-4+8}{5+3}=\frac{1}{2}[/tex]
If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:
[tex]m_1.m_2=-1[/tex]
Solving for m2:
[tex]\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{\frac{1}{2}}=-2[/tex]
Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:
[tex]y-y_o=m(x-x_o)[/tex]
[tex]y-(-6)=-2(x-1)[/tex]
Operating
[tex]y+6=-2(x-1)[/tex]
[tex]y+6=-2x+2[/tex]
Rearranging
[tex]\boxed{y=-2x-4}[/tex]
12-3.89
please show work it’s for a test.
Answer:
8.11
Step-by-step explanation:
12-3=9
9-0.8= 8.2
8.2=8.20
8.20-9=8.11
Answer:
8.11
Step-by-step explanation:
12.00
- 3.89
--------------
8.11
Factor the expression completely. 14x^5 - 2x^2
Answer:
2. 3
2x(7x. - 1)
Step-by-step explanation:
Carl is a biologist studying different types of mammals. He finds that in one valley there are 15 plant-eating mammals for every 2 meat-eating mammles. The total population of mammles in the valley is about 2,900. Which number is the best estimate of the population of meat-eating mammals in the valley.
* 170
* 340
*1,450
* 2,560
Answer:
170
Step-by-step explanation:
The table below lists the 2010 population data for the world’s 10 most populous countries.
Answer:
Hi,
You haven't included the data chart or what you need to solve.
Then only I will be able to help you!
Step-by-step explanation:
The graph of g is a vertical stretch by a factor of 4 and a reflection in the x-axis, followed by a translation 2 units up of the graph of f(x)=x2. Write a rule for g. Then identify the vertex.
Answer:
f(x)=x^2
g(x)= -4(x^2)+2
(0,2)
Step-by-step explanation:
Using transformation concepts, it is found that:
The rule for g is: [tex]g(x) = -4x^2[/tex]The vertex is: (0,0).------------------------------------
Stretching a function [tex]f(x)[/tex] vertically by a factor of b is given by: [tex]g(x) = bf(x)[/tex]Reflecting a function over the x-axis is the equivalent of: [tex]g(x) = -f(x)[/tex]------------------------------------
The original function is: [tex]f(x) = x^2[/tex].Stretching by a factor of 4 means that the function is multiplied by 4, thus: [tex]g(x) = 4x^2[/tex]Reflecting over the x-axis, that is, multiplying by -1, we have that: [tex]g(x) = -4x^2[/tex], which is the rule for g.From the graph added at the end of this answer, the vertex is at (0,0).A similar problem is given at https://brainly.com/question/15196246
can someone find the x for -3x + 1 = 169
Answer:
x = -56
Step-by-step explanation:
-3x + 1 = 169
-1 -1
----------------------
-3x = 168
Divide both sides by -3. 168/-3 = -56
x = -56
Answer:
Your answer is: x = -56
Step-by-step explanation:
Hope this helped : )
HELP I NEED THE ANSWER FAST its says true or false false ( the absolute of a number can be negative
Answer:
False
Step-by-step explanation:
Answer: False
Step-by-step explanation: Absolute value is the number of whole numbers the number is away from zero. So it can only be positive because you cannot have a number negative spaces away from zero
AHHHH Help Answer if you know the all right answer
Answer:
3
The x-intercept of the graph is -4
Graph B
The last graphing question is kinda hard to read so. It should not be c or d. Look for the graph where the line passes through the y-axis starts 30.
Step-by-step explanation:
I need answers in 10 minutes, the red ones are for the numbers with no denominator
Answer:
1) .5 2) 1.25
Step-by-step explanation:
lol i don't have time to get the rest but I hope this helps a bit. just remember that you're trying to isolate the variable and find its value. What you do to one side of the equation, do it on the other side of the equal sign
$3.75 for 5 apples: division pls
Answer: 0.75
Step-by-step explanation:
It is easier to divide if you get rid of the decimal, divide 375/5, and then add the decimal back.
answer this. will give brainliest.
Answer:kk
Step-by-step explanation: kk i cant dee nun
is it right? or like idk i’m confused
This is right
The system requires me to have 20 characters in my answer so I am just gonna add this.
Solve the following equation for H. Be sure to take into account whether a letter is
capitalized or not.
8 + H=n
Answer:
[tex]H=n-8[/tex]
Step-by-step explanation:
[tex]8+H=n[/tex]
[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]
[tex]8+H-8=n-8[/tex]
[tex]Simplify[/tex]
[tex]H=n-8[/tex]
Given the equation 5x – 2y = 22 and a solution (3a, 4). Find a.
Answer:
a = 2
Step-by-step explanation:
5(3a) - 2(4) = 22
15a - 8 = 22
15a = 30
a = 2
On average, Johanna drinks 2/3 of a 12 ounce can of soda in one hour.
How much does she drink in one and a half hours?
Answer:
12oz or a whole can of soda in 1 hour 30 minutes.
Step-by-step explanation:
[tex]\frac {2} {3}[/tex] of 12 is 8, so that means the Johanna drinks 8oz of soda in 1 hour, this means that Johanna also drinks 12oz of soda in 1 hour 30 minutes.
is a type of appeal that tries to make readers feel something.
A:Ethos
B:Logos
C:Pathos
D:Eros
(i put it on math my bad)
Answer:
C i think
Step-by-step explanation:
solve n in the proportion
Answer:
6
Step-by-step explanation:
3*18 is 54 and 54/9 is 6 so n=6
-3/2 - 3/8 simplest form.
Answer:
The answer is -15/8
Step-by-step explanation:
−3/2 − 3/8
= −3/2 − 3/8
= −3/2 + −3/8
= −12/8 + −3/8
= -15/8
PLZ HELP WILL MARK BRAINLIEST
Answer:
c or d but im pretty sure its C
Step-by-step explanation:
What is the inverse of the function y = 4x + 5?
Answer:
y = 1/4 x - 5/4
Step-by-step explanation:
y = 4x + 5
Switch x and y.
x = 4y + 5
Solve for y.
4y = x - 5
y = 1/4 x - 5/4
The inverse of the function y = 4x + 5 is [tex]f^{-1}(x) = \frac{x-5}{4}[/tex]
The given function is:
y = 4x + 5
To find the inverse of the given function y = 4x + 5, follow the following steps:
Make x the subject of the formula:
[tex]y = 4x + 5\\\\4x = y - 5\\\\x = \frac{y}{4}-\frac{5}{4}[/tex]
Replace x by [tex]f^{-1}(x)[/tex] and replace y by x.
The resulting function represents the inverse of the function y = 4x + 5
[tex]f^{-1}(x)=\frac{x}{4}-\frac{5}{4}[/tex]
Which can be further simplified as:
[tex]f^{-1}(x) = \frac{x-5}{4}[/tex]
The inverse of the function y = 4x + 5 is [tex]f^{-1}(x) = \frac{x-5}{4}[/tex]
Learn more here: https://brainly.com/question/12220962
I NEED HELP ASAP!!!!!!!!
REASONING An even integer can be represented by the expression $2n$ , where $n$ is any integer. Find three consecutive even integers that have a sum of 54. The three consecutive even integers, in order from least to greatest, are , , and . Explain your reasoning. Expressions for the next two consecutive even integers after $2n$ are and . Solving the equation $=54$ , and substituting the solution into the expressions for the three integers results in the three integers given above.
Answer:
First Integer = 16
Second Integer = 18
Third integer = 20
Step-by-step explanation:
An even integer is represented by 2n
Where n is any integer
Let :
First Integer = 2n - 2
Second Integer = 2n
Third integer = 2n + 2
The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2
= 2n + 2n + 2n - 2 + 2 = 54
= 6n = 54
n = 54/6
n = 9
First Integer = 2n - 2 = 2(9) - 2
= 16
Second Integer = 2n = 2(9)
= 18
Third integer = 2n + 2 = 2(9) + 2
= 20
Tim Urban, owner/manager of Urban's Motor Court in Key West, is considering outsourcing the daily room cleanup for his motel to Duffy's Maid Service. Tim rents an average of 50 rooms for each of 365 nights (365 × 50 equals the total rooms rented for the year). Tim's cost to clean a room is $ 13.50. The Duffy's Maid Service quote is $ 18.50 per room plus a fixed cost of $ 26 comma 000 for sundry items such as uniforms with the motel's name. Tim's annual fixed cost for space, equipment, and supplies is $ 61 comma 000. Based on the given information related to costs for each of the options, the crossover point for Tim is __________ ?.
Answer:
broke
Step-by-step explanation:
----$$$$$$$
What is an equation for the line that passes through (6,-5) and (-8,16)
Answer:
y=mx
Step-by-step explanation:
i think thats the equation am pretty sure tho
A Rope 25 feet long is cut into 3 pieces. The first piece is 2x feet long, the second piece is 5x feet long, and the third piece is 4 feet long ??
Answer:
'\/(-_-)\/'
Step-by-step explanation:
how do u solve it i know its a parallelogram
Answer:
x = 70
Step-by-step explanation:
In this picture, 139 and (7x-1) are on opposite sides of each other, meaning they are equal to each other. To solve for x, just make them equal to each other first.
1. 7x-1 = 139
2. Add 1 to both sides to isolate 7x.
7x = 140
3. Divide both sides by 7 to isolate x.
x = 70
4. Your answer is 70.
Hope this helped!
Can I have help on this bell ringer please?
Answer:
draw it again
Step-by-step explanation:
draw it as it is you can use a mirror to look through while you are drawing good luck
a rain barrel can hold 50 gallons of water if there are 32 gallons inside of it, what percent of the barrel is full?
Answer:
64%
Step-by-step explanation:
Answer:
The answer is 64%
Step-by-step explanation:
HELPPPPPPP PLEASEEEEEE
Which expression is equivalent to StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue?
–15
–1
1
15
The expression that is equivalent to Start Absolute Value 8 End Absolute Value + Start Absolute Value Negative 7 End Absolute Value is 15. Hence, option D is correct.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given information in the question,
Anything inside an absolute value becomes positive when it exists. Things that are not within the absolute values remain the same.
So,
|8| + |-7| = 8 + 7 = 15
To know more about Expression:
https://brainly.com/question/14083225
#SPJ6
Answer:
it is D-15
Step-by-step explanation:
15 is D
