Answer: [tex]k=18\dfrac{8}{11}[/tex].
Step-by-step explanation:
If a line passing through two points, then
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN [tex]=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]
The endpoints of segment AB have coordinates [tex]\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)[/tex] and [tex]\left(-2\dfrac{1}{4} , k\right)[/tex].
[tex]A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)[/tex]
[tex]B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)[/tex].
Slope of AB [tex]=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}[/tex]
[tex]=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}[/tex]
[tex]=\dfrac{4k-9}{4}\times \dfrac{44}{-145}[/tex]
[tex]=4k-9\times \dfrac{11}{-145}[/tex]
[tex]=\dfrac{44k-99}{-145}[/tex]
Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1
[tex]\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1[/tex]
[tex]\dfrac{44k-99}{-725}=-1[/tex]
[tex]44k-99=725[/tex]
[tex]44k=725+99[/tex]
[tex]k=\dfrac{824}{44}[/tex]
[tex]k=\dfrac{206}{11}[/tex]
[tex]k=18\dfrac{8}{11}[/tex]
Therefore, the value of k is [tex]k=18\dfrac{8}{11}[/tex].
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5, (use the slope formula.)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
The map shows a straight highway between two towns. Highway planners want to build two new rest stops between the towns so that two rest stops divided the highway into three equal parts. Find the coordinates of the points at which the rest stops should be built.
1,1 and -1,0 would be the answer
(-2, -1/3) and (1, 1 1/3) the coordinates of the points at which the rest stops should be built.
What is coordinates point?
A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
According to the question,
In given figure,
x from -3 to +3
1/3 would be -2
2/3 would be +1
y from -2 to +3
1/3 would be -2 + 5/3 = -1/3
2/3 would be -2 + 10/3 = 1 1/3
The two coordinates
(-2, -1/3) and (1, 1 1/3)
Hence , (-2, -1/3) and (1, 1 1/3) the coordinates of the points at which the rest stops should be built.
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Evaluate each expression if a = 4, b = 6, and c = 2.
Answer:
26
Step-by-step explanation:
ab+c
plug in #s
4(6)+2
start to solve
24+2
26
Please answer step by step 3(2y-7)=
Answer:
Step-by-step explanation:
3(2y-7)=
Distribute
3 * 2y - 3 *7
6y - 21
Step-by-step explanation:
3(2y-7) = 6y-21
y = 21/6
y = 3
explain how 5x-3y=2 and 5x-3y=8 are parallel without doing any calculations
Answer:
They're parallel because the first part of the equations have the same numbers/variables (can see down below in bold). This tells us whether or not it's parallel. There's no need for any calculations due to this.
5x - 2y = 2
and
5x - 2y = 8
The answer of the equations doesn't affect it, only is they're the same number. Then it becomes overlap.
For Example:
5x - 2y = 9
and
5x - 2y = 9
they're the same, meaning overlap.
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
33cm cubed
Step-by-step explanation:
6 blocks by 3 blocks by 2 blocks = 36 - 3 cause of the missing blocks = 33
17.
A $75 prize was to be awarded and split amongst a 6 person team. Which
representation best shows how much money each person will get, assuming the
prize is split equally?
Answer:
$12.5
Step-by-step explanation:
Since prize is split equally.
So, money received by each person
= 75/6
= $12.5
Can someone help mewith this
Answer:
(x+3)(x-3) * 2
4 (x-3) (x+3)
= 1/2
Answer:
1/2
Step-by-step explanation:
[tex]\frac{(x-3) * (x+3) }{2(2x-6)}[/tex] × [tex]\frac{2}{x+3}[/tex]
[tex]\frac{(x-3)*1}{2(x-3)}[/tex]
[tex]\frac{1}{2}[/tex]
find the missing angle
Answer:
I don’t have the answer but I recommend downloading socratic I use this app and it is so helpful
Step-by-step explanation:
It helps me with all my questions
Solve for w.
4 = 0.25(w-4.3)
W=20.3
solve what's in the parenthesis, move the terms, calculate, then divide both sides.
Answer:
20.3
Step-by-step explanation:
I did it and it was right on khan
please answer asap please
Answer:
( 6,-1)
Step-by-step explanation:
Point B is at ( 0,3)
We are going down 4 units so subtract 4 from y
and going right 6 units so add 6 to x
(0+6 , 3-4)
( 6,-1) is the location of B'
Answer:
B- its going 4 down from positive 3 which will make it -1 and 6 over from 0 which makes it 6 and that gives you the answer of (-1,6)
list a least two metric units that you can use to measure volume
Answer:
1-Rectangular prism
2-cube
Step-by-step explanation:
Rectangular prism - Multiply the measurement of the length times the width, then times the height.
Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³
6*10^-2 is how many times as large as 2*10^-8
Answer:
3000000
Step-by-step explanation:
6×[tex]10^{-2}[/tex] = 6 × 1/(10)² = 6 × 1/100 = 6/1002×[tex]10^{-8}[/tex] = 2 × 1/[tex]10^{8}[/tex] = 2 × 1/100000000 = 2/100000000Divide 6/100 and 2/100000000 to find how many times as large
The answer is 3000000
(D2+6d+9)+(d3-6d+9)
A parking garage charges $2 for the hour and $1 each additional hour. Fran has $9.90 to spend for parking. What is the greatest number of hours Fran can park
Answer:
Frank can park 8.9 hours at the highest
Step-by-step explanation:
Here, we want to know the greatest amount of time that Frank can park given the amount he has to spend on parking.
From the question, we are told that he pays $2 for the hour and an extra $1 per additional hour.
Now, let the number of additional hour he is going to park be x. The bill for the additional hours will be ; $1 * x = $x
By adding this to the initial $2, we have the total $9.90
So, mathematically;
2 + x = 9.90
x = 9.9 -2
x = 7.9 hours
Now, the initial hour he parked is 1 hour + number of incremental hours = 1 + 7.9 = 8.9 hours
Sebastian plays a snare drum that has a radius of 3 inches. What is the drum's diameter? ______ inches
Answer:6
Step-by-step explanation:
d=2r
1. Draw diagrams illustrating the relationship between the following sets of real numbers: (a) rational and irrational numbers (b) rational numbers and integers (c) irrational numbers and whole numbers (d) integers and whole numbers
Answer:
umm there is no answer u have to make a diagram of the rational and irratinal or the area of numbers its not a letter u have to make a diagram
Step-by-step explanation:
what is 660 increased by 1 followed by a further one
The baseball team is ordering hats for the upcoming season. The hat company
charges a certain amount per hat plus an initial fee of $55. There are 14 players on the
baseball team. If there are 14 players on the baseball team and the hat order comes to a
total of $363, how much does each hat cost?
Please help I’m struggling on this question.
Answer: [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]
Step-by-step explanation:
To solve this problem, we want to make sure the denominators are the same on both fractions. Once they are equal, we can dd them together.
[tex]\frac{y+4}{y-8} +\frac{y-8}{y+4}[/tex] [multiply first fraction by y+4 and second by y-8]
[tex]\frac{(y+4)(y+4)}{(y-8)(y+4)} +\frac{(y-8)(y-8)}{(y-8)(y+4)}[/tex] [distribute by FOIL]
[tex]\frac{y^2+8y+16}{(y-8)(y+4)} +\frac{y^2-16y+64}{(y-8)(y+4)}[/tex] [add numerator]
[tex]\frac{y^2+8y+16+y^2-16y+64}{(y-8)(y+4)}[/tex] [combine like terms]
[tex]\frac{2y^2-8y+80}{(y-8)(y+4)}[/tex] [factor out 2 from numerator]
[tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]
Now we know that [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex] is the factored form after adding.
hey mm, i’m lost idk what to do •__•
In the equation 4x - 8 = -12, the second step would be to...
Answer:
4x = -4
Step-by-step explanation:
4x = -12+8
4x = -4
x = -1
Step-by-step explanation:
4x - 8 = -12
4x = 8 - 12
4x = -4
x = (-4)/4
x = -1
What is the slope of the line parallel to y = 3x + 2
Zero
1
3
3
-3
Parallel lines have slopes which are equal to each other.
We know that y = 3x + 2 has a slope of 3, therefore, the line parallel to y = 3x + 2 has a slope of 3.
Solve the equation |x + 6|= |x– 12|. Graph the solutions, if possible.
Answer:
x=3
Step-by-step explanation:
Answer:
Step-by-step explanation:
|x+6|=|x-12|
x+6=±(x-12)
when x+6=x-12
6=-12
which is impossible hence rejected.
x+6=-(x-12)
x+6=-x+12
x+x=12-6
2x=6
x=6/2=3
so x=3
50 POINTS FOR THE ANSWER! Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won? Comparing the decimal equivalents of their scores shows that Vanessa won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar. Comparing the decimal equivalents of their scores shows that Vanessa won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625. Comparing the decimal equivalents of their scores shows that Zack won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar. Comparing the decimal equivalents of their scores shows that Zack won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.
Answer:
zack won. if you compare the decimal equivalents of their scores, -3.666<-3.625
Step-by-step explanation:
given: vanessa and zack are playing a game where the player with the lower score wins
score of vanessa=
[tex] - 3 \frac{5}{8} = - ( \frac{29}{8}) = - 3.625 [/tex]
score of zack:
[tex] -3 \frac{2}{3} = - ( \frac{11}{3} ) = - 3.666[/tex]
we can see -3.666<-3.625
zack has the lower score
Answer:
zack won. if you compare the decimal equivalents of their scores, -3.666<-3.625
Step-by-step explanation:
Gertrude has 71.502 ounces of butter. How many ounces of butter does she have, rounded to the nearest hundredth?
Answer:
71.500
Step-by-step explanation:
502 is closer to 500 than 600.
Answer:
71.50
Step-by-step explanation:
This is because 2 is not up to 5, so it can't be turned into 1 and be added to 0.
Solve ax + bx = c for x
a,b,c represent nonzero constants
Answer:
x=(c/a+b)
Step-by-step explanation:
..........
Answer:
x = [tex]\frac{c}{a+b}[/tex]
Step-by-step explanation:
Given
ax + bx = c ← factor out x from each term on the left side
x(a + b) = c ← divide both sides by (a + b)
x = [tex]\frac{c}{a+b}[/tex]
simplify the expression -4(x - 5)
Answer:
-4x+20
Step-by-step explanation:
[tex]-4(x - 5)\\\\=-4x-4(-5)\\\\=-4x+20[/tex]
how many numbers lie between squares of 12 and 13
Answer:
therefore 25 numbers lie inbetween.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
3x-2=7????????????????
Answer:
x=3
Step-by-step explanation:
Step 1: Add two to 7 and inverse the minus 2
3x=7+2 3x=9
Step 2: Divide each number by 3.
3x/3=x and 9/3=3
so x=3
According to a newspaper report, A 63 year old man has rowed around the world without leaving his living room. He clocked up 24084 miles on a rowing machine that he recieved for his 50th birthday. Roughly how many miles per year has he rowed since he was given the machine?
A) 200
B) 500
C) 1000
D) 2000
E) 4000
(can i get it with the full working out please)
The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A 63-year-old man has rowed around the world in his living room, according to a newspaper story. On a rowing machine that he received for his 50th birthday, he logged 24084 miles.
The number of miles per year is calculated as,
⇒ 24,084 / (63 - 50)
⇒ 24,084 / 13
⇒ 1852.61 ≈ 2,000
The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.
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