Answers
S(-3,6) and T(3,-4)
Let's calculate the slope m₁ of KM
m₁ = (y₂-y₁)/(x₂-x₁) → m₁ =(4+2)/(5+5) = 6/10 →m₁ = 3/5
Now let's calculate the slope m₂ of ST:
m₂ = (-4-6)/(3+3) → m₂ = (-10)/6 → m₂ = -5/3
We can conclude that KM and ST are perpendicular since thee product of their respective slopes (m₁).(m₂) = - 1
Proof: (3/5).(-5/3) = -15/15 = -1
Related Questions
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Which system of equations will also have a solution of (−2, −1)?
5x = −10
11x − 9y = −13
2x + 9y = −1
11x − 9y = −13
−6x + 9y = −1
11x − 9y = −13
−6x + 3y = −1
5x = −10
Answers
11x-9y=-13
5x(-2)=-10
11x(-2)-9x(-1)=-13
Answer:
The correct option is 1.
Step-by-step explanation:
If a system of equation have solution (a,b), then the equations of system must be satisfied by the point (a,b).
It is given that the system of have solution (-2,-1), so the equations of system must be satisfied by the point (-2,-1).
The system of equation in option 1 is
[tex]5x=-10[/tex]
[tex]11x-9y=-13[/tex]
Put (-2,-1) in the above equations.
[tex]5(-2)=-10\Rightarrow -10=-10[/tex]
[tex]11(-2)-9(-1)=-13\Rightarrow -13=-13[/tex]
Since left hand side is equal to right hand side, therefore the point (-2,-1) satisfy the equations and (-2,-1) is the solution of the given system.
Similarly check the other system of equations, whether the point (-2,-1) stratify the equations or not.
In option 2,
[tex]2x+9y=-1[/tex]
[tex]2(-2)+9(-1)=-1\Rightarrow -13=-1[/tex]
Since left hand side is not equal to right hand side, therefore the point (-2,-1) is not the solution of this system of equation.
In option 3,
[tex]-6x+9y=-1[/tex]
[tex]-6(-2)+9(-1)=-1\Rightarrow 3=-1[/tex]
Since left hand side is not equal to right hand side, therefore the point (-2,-1) is not the solution of this system of equation.
In option 4,
[tex]-6x+3y=-1[/tex]
[tex]-6(-2)+3(-1)=-1\Rightarrow 9=-1[/tex]
Since left hand side is not equal to right hand side, therefore the point (-2,-1) is not the solution of this system of equation.
Only option 1 is correct.
What are the fractions of 48
Answers
whats the property in equation 3(2x-6)=6x-18
Answers
Distributive property
hope it helps
The graph shows the height, y, in centimeters, of a plant after a certain number of weeks, x. Shania drew the line of best fit on the graph.
A graph titled Plant Height shows Number of Weeks on x axis and Height of Plant in cm on y axis. The scales on both x and y axes are shown from 0 to 5 at increments of 5. The graph shows dots at the ordered pairs 0, 1 and 0.5, 1.2 and 1, 1.4 and 1.5, 2 and 2, 2.4 and 2.5, 2.7 and 3, 3 and 3.5, 3.3 and 4, 3.5 and 4.5, 3.8 and 5, 4. A straight line joins the ordered pairs 0, 1 and 5, 4
What would most likely be the approximate height of the plant after 7 weeks?
5.2 centimeters
7.6 centimeters
8.7 centimeters
12.7 centimeters
Answers
y = 1.2792x - 0.1665
y = 1.2792 (7) - 0.1665
y = 8.78 centimeters.
The most likely approximate height of the plant after 7 weeks is 8.7 centimeters.
Answer:
5.2 cm.
Step-by-step explanation:
Given :
Number of Weeks(x) Height of Plant (y)
0 1
0.5 1.2
1 1.4
1.5 2
2 2.4
2.5 2.7
3 3
3.5 3.3
4 3.5
4.5 3.8
5 4
We are given that A straight line joins the ordered pairs 0, 1 and 5, 4
So, we will find the equation of line using two point slope form:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex](x_1,y_1)=(0,1)[/tex]
[tex](x_2,y_2)=(5,4)[/tex]
Substitute the values in the formula
[tex]y-1=\frac{4-1}{5-0}(x-0)[/tex]
[tex]y-1=\frac{3}{5}(x)[/tex] ---A
Now we are supposed to find e the approximate height of the plant after 7 weeks.
Substitute x = 7 in A
[tex]y-1=\frac{3}{5}(7)[/tex]
[tex]y=\frac{3}{5}(7)+1[/tex]
[tex]y=5.2[/tex]
Hence the approximate height of the plant after 7 weeks is 5.2 cm.
How long is a football field
Answers
the distance between goal lines is 100 yards, each end zone is 10 yards
so total length of a football field is 120 yards
sharon and anthony dropped a stone from a 150-foot cliff. find the time, t, in seconds that it will take for the stone to reach the ground. let t=1/4 square root of s, where s represents the distance in feet the stone will fall.
Answers
(s = 150ft
t = 1/4 square root of s)
Square Root (150) = 12.2474487139
12.2474487139 ÷ 4 = 3.0618621785 = ~3.062
Final Answer: About 3.062 seconds.
What is tan 45 degrees
Answers
Tan 45* = one
If this helps please give brainliest ;)
Answer:
tan 45°= 1
Step-by-step explanation:
you find the opposite/adjacent= 1
1/2x =20
Pls help
I need answer in like a minute
Answers
multiply both sides by 2/1 to get x=40
if ya meant like [tex]\frac{1}{2x}=20[/tex]
multiply both sides by x and divide both sides by 20 to get [tex]x=\frac{1}{40}[/tex]
depends which one it is
Ryan, Jessica, and Mark each solved this system of equations. All of their answers are different. Find and explain the mistakes. What is the correct answer?
y = 3x + 2
6x – 2y = 10
Ryan’s answer:
I solved by adding the equations. The solution is .
y = 3x + 2 → 3x + y = 2
6x – 2y = 10 → 3x – y = 5
6x = 7
x =
6x – 2y = 10 → 6 – 2y = 10
7 – 2y = 10
–2y = –3
y = -
Jesse’s answer:
I used matrices. The solution is .
Mark’s answer:
I graphed the equations. The lines are parallel and do not intersect, so there is no solution.
Answers
-2y = -6x + 10...reduce by dividing by -2
y = 3x - 5....slope = 3 and y int = -5
y = 3x + 2 ...slope = 3, y int = 2
These lines are parallel. Parallel lines will have the same slope, but different y int's. There is no solution to this because ur lines never intersect.
Mark's answer is correct
6x - 2y = 10
-2y = -6x + 10
reduce by dividing by -2
y = 3x - 5
slope = 3 and y int = -5
y = 3x + 2
slope = 3, y int = 2
These lines are parallel. Parallel lines will have the same slope, but different y integers. There is no solution to this because the lines never intersect.
Mark's answer is correct
The scores of several classmates on a language arts test are shown below: 86 points 87 points 87 points 94 points 95 points 82 points 78 points 89 points 80 points 84 points What is the median score for these students?
Answers
86+87/2 = 86.5
Answer:
78,80,82,84,86,87,87,89,94,95
86+87/2 = 86.5
Step-by-step explanation:
Janet's Junk Shop is having its annual sale. Matt wants to buy a mixer that originally sold for $28.62 and is now on sale for off. Matt also has a coupon for an additional 15% off the discounted price.
How much will Matt pay for the mixer?
Answers
[tex]FinalPrice =[/tex]
[tex](Original Price \times(\frac{100\% - Discount}{100\%}))\times(\frac{100\% - Discount_2}{100\%}) =[/tex]
[tex]\big(\$28.62\times(\frac{100\% - 25\%}{100\%})\big) \times(\frac{100\% - 15\%}{100\%}) = [/tex]
[tex]\big(\$28.62\times(\frac{3}{4})\big) \times(\frac{17}{20}) \approx \$18.25[/tex]
Matt will pay [tex]\$18.25[/tex] for the mixer
Margie calculated that she would spend $175 on school supplies this year. She actually spent $97.50 on school supplies. What is Margie’s percent of error? 77.3% 79.5% 44.2% 4.4%
Answers
77.5 / 97.5 = 0.7948 = 79.5%
answer
79.5%
Margie’s percent of error is 79.5%.
First step is to calculate the amount that Margie was off by
Amount=$175 - $97.50
Amount=$77.5
Second step is to find Margie percent of error
Percent of error=77.5 / 97.50× 100
Percent of error = 79.48717949%
Percent of error=79.5% (Approximately)
Inconclusion Margie’s percent of error is 79.5%.
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https://brainly.com/question/8390091
Triangle XYZ is reflected across the line y=x and X'= (2, -15). What are the coordinates of X,?
Answers
Answer: (-15,2)
Answer:
the answer to this is A
Step-by-step explanation:
A machine factory produces 2 parts per second. One shift is 10 hours long. What is the production rate in parts per shift?
Answers
60 seconds per minute
2 x 60 = 120 parts per minute
60 minutes per hour
120*60 = 7200 parts per hour
7200 x 10 hours = 72,000 parts per 10 hour shift
What is the midpoint of the line segment with endpoints (1,6) and (-3,4)?
Answers
hope this helps:)
please mark thanks and brainliest:)
add 6 and 4 and divide the answer by 2 and you will get the answer for y-axis.
therefore,
midpoint = ( (1 + -3) ÷ 2 , (6+4) ÷ 2 )
= ( -2 ÷ 2 , 10 ÷ 2 )
= (-1, 5)
Gavin agrees to buy a 6-month package deal of monthly gym passes and in turn receives a 15% discount. Write an algebraic expression to represent the total cost of the monthly passes with the discount, if x represents the cost of each monthly pass.
Answers
15%*y=Z
that is the equations
If a scale model of a building is 5 inches wide by 7inches long. if the scale is 1 in.:15ft,how long is the building?
Answers
If a scale model of a building is 5 inches wide by 7inches long then the real-life length of the building is 105 feet.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
If the scale of the model is 1 inch : 15 feet, this means that every inch on the model represents 15 feet in real life.
The model is 5 inches wide by 7 inches long.
Let's use the length dimension to find the real-life length of the building:
7 inches on the model represents 7 x 15 = 105 feet in real life.
Therefore, the real-life length of the building is 105 feet.
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A bag has 6 yellow marbles and 6 brown marbles. Half of the brown marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a brown, glass marble?
Write your answer as a fraction in simplest form.
Answers
6 brown marbles but half of the brown marbles are made of glass
so brown and made of glass = 3
probability that it is a brown, glass marble = 3/12 = 1/4
answer
1/4
Which undefined term is needed to define a circle
Answers
Answer:
the first one is "point" and the second is "1/2"
Step-by-step explanation:
Write 0.8 repeating as a fraction
Answers
Answer: 8/9
Step-by-step explanation: I got the answer right
Which of the fractions shown has the greatest value?
2/4
4/7
1/3
4/9
Answers
1/2= .5
1/3=.33
4/9 = .44
Answer:
4/7 has the greatest value; it is .57
Step-by-step explanation:
Solve x3 = 1 over 8.
Answers
x=(1/8)^(1/3)
x=1/2
Answer:
The simplified form of the provided equation is 1/2.
Step-by-step explanation:
Consider the provided equation.
[tex]x^3=\frac{1}{8}[/tex]
8 can be written as 2³
1 can be written as 1³
Therefore the provided equation can be written as:
[tex]x^3=\frac{1^3}{2^3}[/tex]
[tex]x^3=(\frac{1}{2})^3[/tex]
[tex]x=\frac{1}{2}[/tex]
Hence, the simplified form of the provided equation is 1/2.
9.Jessa drew a circle with a circumference of 18.84 inches. Which of these dimensions could be the diameter, in inches Jessa used to draw her circle? Use 3.14 for pi.
A 6
B 15.7
C 3
D 9.42
Answers
The circumference can be found just by multiplying the diameter by pi.
So all you need to do is 18.84/3.14 which is 6.
Answer:
A. 6
Step-by-step explanation:
Write the formula c = 2πr. Substitute the value 18.84 feet for c. Solve the equation for c. Since the radius always measures one-half the length of the diameter, multiply the value of c by 2.
How do you find the LCM???
I know that I asked how to find the LCM of 8 and 9 but I don't know what to multiply by to get it.
Answers
If you don't already know it: is 8 a factor of 9 or do they have equal factors? No.
Is 9 a factor of 8 or do they have equal factors? No.
The easy way: multiply 8 by 9 to get LCM :)
3(x+1)-[2(3-2x)-3(3-x)]
Answers
3x+3-2-3x+9
Combine like terms
0x+3-2+9
X=10
A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road, (x2 + 3) miles downhill, and (x − 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?
Answers
Sam bought 86 pounds of flour for his bakery. Every day he used the same amount of flour to make bakery items. After 10 days, Sam was left with 25.2 pounds of flour. On average, how many pounds of flour did Sam use each day?
Answers
86-25.2 = 60.8 pounds of flour used
60.8/10 = 6.08 pounds used per day
Answer:
6.08
Step-by-step explanation:
first, i subtracted 86 from 25.2 to get what he used in the 10 days, which was 60.8, then i would divide it by 10 bc of 10 days to get 6.08. Hope this helps!
Why would experimental probability differ from theoretical probability?
Answers
A gift box is a rectangular prism14inches long,5inches wide,and 4inches high.If the box is to be covered in fabric ,how much fabric is needed if there is no overlap?
Answers
when he length=L
width=W
and height=H
SA=2(LW+WH+LH)
so
L=14
W=5
H=4
subsitute
SA=2((14)(5)+(5)(4)+(14)(4))
SA=2(70+20+56)
SA=2(146)
SA=292
you need 292 square inches of fabric
The total fabric needed would be 292 square inches.
To calculate how much fabric is needed to cover the gift box without overlap, we must find the surface area of the rectangular prism representing the box. The formula to find the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l represents the length, w represents the width, and h represents the height.
Given the dimensions of the box are 14 inches (length), 5 inches (width), and 4 inches (height), we calculate the surface area as follows:
2 (14 × 5) = 2 × 70 = 140 square inches (for the top and bottom)2 (14 × 4) = 2 × 56 = 112 square inches (for the front and back)2 (5 × 4) = 2 × 20 = 40 square inches (for the left and right sides)The total surface area is 140 + 112 + 40 = 292 square inches of fabric needed to cover the entire box.
Tickets to a concert cost 2$ for children and 5$ for adults. If 630 people attended the concert and ticket sales totaled 2,910$, how many children attended the concert
Answers
80 childrens tickets and 550 adults tickets were sold.
c= children
a= adults
c+a = 630
c=630-a
2c + 5a = 2910
2(630-a) +5a=2910
1260-2a+5a=2910
1260+3a=2910
3a=1650
a = 1650/3=550
550 adult tickets
630-550 = 80 children's tickets
check:
550*5 = 2750
80*2=160
2750+160=2910