Find the other endpoint of the line segment with the given endpoint
and midpoint
Endpoint 1: (9,1)
Midpoint: (1,6)
Endpoint 2= (
Answers
Step-by-step explanation:
Let the other endpoint be (x,y)
Since, (1,6) is the midpoint between (9,1) and (x,y)
Therefore,
1=(9+x)/2
=> 2=9+x
=> x= -7
and,
6=(1+y)/2
=>12= 1+y
=> y=11
So, the other endpoint is ( -7, 11)
Answer:
( - 7 , 11)Step-by-step explanation:
Let the coordinates of Endpoint 2 be
(x ,y)
The midpoint of the endpoints is given by
[tex](1,6) = ( \frac{9 + x}{2} , \frac{1 + y}{2} )[/tex]
Where x and y are coordinates of Endpoint 2
Comparing with the midpoint we have
[tex]1 = \frac{9 + x}{2} \\ 2 = 9 + x \\ \\ x = 2 - 9 \\ \\ x = - 7[/tex]
[tex]6 = \frac{1 + y}{2} \\ 12 = 1 + y \\ \\ y = 12 - 1 \\ \\ y = 11[/tex]
Therefore x = - 7 and y = 11
The coordinates of Endpoint 2 are
( - 7 , 11)Hope this helps you
Related Questions
HELPP PLEASE
2. At Math Camp, students can either pack their own lunch every day or buy lunch at camp. If they want to buy lunch there are 3 options: Option A: they pay an initial fee of $30 and lunches cost $2 each Option B: shown on the graph Option C: they pay a flat fee of $70 which includes all lunches Write an equation for each option. (3 marks) Option A: Option B: Option C: b) Describe under what conditions, a student should choose each option. (Hint: you may want to graph all 3 lines on the same axes) (4 marks) Choose Option A if: Choose Option B if: Choose Option C if: 3. 4. A Campbell’s Soup can is 15cm tall and has a radius of 5 cm. How much paper is needed to make the label (think about what the label covers)? (3 marks) How much soup can this hold? (1 cm3 = 1 mL) (3 marks)
Answers
Answer:
3.
A. Y = 2x + 30 (red line)
B. Y=5x (blue line)
C. Y=70 (green line)
From 0 to 10 days, choose option B (shown on graph)
From 10 to 20 days, choose option A (first option)
From 20 days and more, choose option C.
4.
surface area of label = 471.2 cm^2
Step-by-step explanation:
Q1718436 Math Camp
2. At Math Camp, students can either pack their own lunch every day or buy lunch at camp. If they want to buy lunch there are 3 options:
Option A: they pay an initial fee of $30 and lunches cost $2 each
Option B: shown on the graph
Option C: they pay a flat fee of $70 which includes all lunches
Write an equation for each option. (3 marks) Option A: Option B: Option C:
A. Y = 2x + 30 (red line)
B. Y=5x (blue line)
C. Y=70 (green line)
b) Describe under what conditions, a student should choose each option. (Hint: you may want to graph all 3 lines on the same axes) (4 marks)
Choose Option A if: Choose Option B if: Choose Option C if:
Least cost is what is below the lowest possible line for the number of days stayed.
From 0 to 10 days, choose option B (shown on graph)
From 10 to 20 days, choose option A (first option)
From 20 days and more, choose option C.
Note that for days 10 and 20, there are two choices each.
3.
4. A Campbell’s Soup can is 15cm tall and has a radius of 5 cm. How much paper is needed to make the label (think about what the label covers)? (3 marks) How much soup can this hold? (1 cm3 = 1 mL) (3 marks)
The label only covers the curved surface.
Curved surface area
= 2 pi * r * h
= 2 pi (5) * 15
= 150 pi
= 471.2 cm^2
Martin will earn $25 per hour at a new job. During training, he will earn $20 per hour. What percent of Martin's regular hourly rate will he earn during training?
Answers
Answer:
He will earn 80% during training
Step-by-step explanation:
Lets take $25 as 100%
And take $20 as x
Using equivalent ratios, the equation would look like: $25:100% = $20:x
Next, turn them into fractions: $25 = $20
100% x
Cross multiply to get:
(25)x = $20×100%
The next step:
25x = $20×100%
25 25
25 and 25 will cancel each other out leaving x, and 25 will divide 100% which will give you 4
Leaving it as:
x= 20×4%
x= 80%
Can y’all solve this for me???
Answers
Answer:
1/4PI I GOT IT RIGHT ON KHAN ACADEMY
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
Answer:
[tex]\boxed{\frac{1}{2}\pi}[/tex]
Step-by-step explanation:
Use length of arc formula.
[tex]\frac{\theta }{360} \times2 \pi r[/tex]
The radius is 1 unit.
θ = 90°
[tex]\frac{90}{360} \times 2\pi (1)[/tex]
[tex]\frac{1}{4} \times 2\pi[/tex]
[tex]\frac{1}{2} \times\pi[/tex]
please help me answer this question Solve: y − x = 12 y + x = -26 (19, -7). (-7, 1). (7, 19). (-19, -7).
Answers
Answer:
(-19 , -7)
Step-by-step explanation:
y - x = 12
y + x = -25 we sum them to get
2y = -14 , y = -7
then we put -7 instead of y in any of the equations:
-7 - x = 12
-x = 19
x = -19,
finally (x , y) is (-19 , -7)
Which is the simplified form of the expression ((2sqrt-2)(3sqrt4))sqrt-3 * ((2sqrt-3)(3sqrt2))sqrt2
Answers
Answer:
[tex]\boxed{-432\sqrt{2} i}[/tex]
Step-by-step explanation:
[tex]( 2 \sqrt{-2} )( 3 \sqrt{4} ) \sqrt{-3} \times ( 2 \sqrt{-3} )( 3 \sqrt{2} ) \sqrt{2}[/tex]
[tex]2 \times \sqrt{-2} \times 3 \times \sqrt{4} \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times \sqrt{2} \times \sqrt{2}[/tex]
[tex]2 \times \sqrt{-2} \times 3 \times 2 \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times 2[/tex]
[tex]2 \times \sqrt{-2} \times 3 \times 2 \times -3 \times 2 \times 3 \times 2[/tex]
[tex]-432\sqrt{2}\sqrt{-1}[/tex]
[tex]-432\sqrt{2} i[/tex]
Answer: it’s d!
Step-by-step explanation:
Find the vertex form
Answers
Hi,
[tex]y=5x^{2} +12x-2\\y=x(5x+12)-\frac{46}{5} \\y=5(x+\frac{6}{5} )^{2}-\frac{46}{5} \\[/tex]
Have a good day.
in how many ways can you select a committee of 3 students out of 10 students ?
Answers
Solve by the quadratic formula: 3x2 - 4x + 1 =0
Answers
Answer:
x=1.75
Step-by-step explanation:
3*2-4x+1=0 subtract 1 from both sides
3*2-4x=-1 multiply 3 and 2
6-4x=-1 Subtract 6 from both sides
-4x=-7 divide both sides by -4
x=1.75
If this helped, please consider giving me brainliest, it will help a lot :)
Have a good day
Which equation can be used to find the volume of this solid? A triangular prism. The triangular base has a base of 11 inches and height of 7 inches. The height is 9 inches. V = 11 times 9 times 7 V = 11 + 9 + 7 V = StartFraction 7 + 9 over 2 EndFraction + 11 V = StartFraction 7 times 11 over 2 EndFraction times 9
Answers
Answer:
V=11*7*9=693
Step-by-step explanation:
V=Bh ( B is the base area ( base*height) , and h is the height of the prism)
find B=base*h
B=11*7=77 in²
V=B*h=77*9=693 in³
The volume of the triangular prism is 174.25 in³.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, the triangular base has a base of 11 inches and height of 7 inches.
The formula for finding the volume of a triangular prism is V = (base area x height) / 2.
In this case, the base area of the triangle can be calculated using the formula A = (1/2)bh, where b is the base length and h is the height.
In this case, b = 11 inches and h = 7 inches, so the base area is A = (1/2)(11)(7) = 38.5 inches squared.
Now that we have the base area, we can calculate the volume of the triangular prism: V = (38.5 inches² x 9 inches) / 2 = 174.25 in³.
Therefore, the volume of the triangular prism is 174.25 in³.
To learn more about the volume visit:
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Given that Arccos (√3/2)=β, what are all the angle measurements for right triangle ABC?
Answers
Answer:
30°, 60° and 90°
Step-by-step explanation:
Given the expression Arccos (√3/2)=β, we can use the expression to calculate one of the acute angles in a right angled triangle.
Note that a right angled triangle is made up of two acute angles and a right angled (90°)
Let's get one of the acute angles first
If Arccos (√3/2)=β
β = cos^-1 √3/2
β = 30°
This shows that one of the acute angles is 30°
To get the third angle, we know that sum of angles in a triangle is 180° and since we already know two of the angles, i.e 90° and 30°, we can get the third angle.
90+30+x = 180
120+x = 180
x = 180-120
x = 60°
All the angle measurement for the right angled triangle are 30°, 60° and 90°
Solve each problem below. Show all working in the space provided.
1. A square shed measures 8m 35cm along each side. Find the perimeter of th
shed.
Answer:
Answers
Answer:
33m 40cm.
Step-by-step explanation:
One side of the shed measures 8 meters and 35 centimetres, which is 800 + 35 = 835 centimetres.
Since the shed is a square, all side lengths are 835 centimetres long. So, the perimeter is 835 * 4 = 3,340 centimetres. That means that the perimeter is 33 meters and 40 centimetres.
Hope this helps!
Se tiene una pirámide regular cuadrangular cuyas caras laterales forman con la base un angulo que mide 53º y el area de la superficie lateral es 60 ¿cuanto mide la altura?
Answers
Answer:
La altura de la pirámide es de 8.14 unidades.
Step-by-step explanation:
Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?
Dado que el área de superficie lateral = 60
Tenemos
Área del triángulo equilátero = (√3 / 4) × a²
(√3 / 4) × a² = 60
a² = 60 / (√3 / 4) = 80 · √3
a = √ (80 · √3) = 11.77 unidades
La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)
La altura inclinada = 11.77 × sin (60) = 10.194 unidades
La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)
La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.
La altura de la pirámide = 8.14 unidades.
According to a commercial, 4 out of 5 dentist recommend a certain brand of toothpaste. Suppose There are 120 dentist in your area. What is the expected number of dentist who recommend the brand? What is the standard deviation?
Answers
4/5 recommend, so about 4/5(120) = 96 doctors recommend the brand.
The registrar keeps an alphabetical list of all undergraduates, with their current addresses. Suppose there are 10,000 undergraduates in the current term. Someone proposes to choose a number at random from 1 to 100, count that far down the list, taking that name and every 100th name after it for the sample.
a) Is this a probability method?
b) Is it the same as simple random sampling?
c) Is there selection bias in this method of drawing a sample?
Answers
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
Following are the description of the given points:
(a) This is a system of probability, which possibility occurs inside an intended manner whenever they choose this specific point of origin from 1 to 100 with no one reserve the possibility about who gets throughout the survey.
(b) Its method is different from the random sampling technique with the base available. For example, two individuals whose names identical to both the list have no chance to join within the survey.
(c) its sample is objective to its everyone can enter the test in equal measure.
What is the quotient (2x^3 + 3x - 22) / (x-2)
Answers
Answer:
The quotient is 2x^2+4x+11
Step-by-step explanation:
A tissue sample is three cells thick. Each cell has a thickness of 0.000004m. What is the thickness of the tissue sample in mm. Give your answer in standard form. PLZ SHOW WORKING
Answers
Answer:
4000 nm
Step-by-step explanation:
Conversion from meters to nanometers: 1 meter is 1(10⁹) nm
Step 1: Convert 0.000004 to scientific notation
0.000004 = 4(10⁻⁶)
Step 2: Convert by multiplication
4(10⁻⁶) x 1(10⁹) = 4000 nm
Pam works as an office administrator. She spends $7500 of her income on personal expenses each year. If this represents 18% of her salary, how much money does Pam earn in one year? Round your answer to the nearest whole dollar.
Answers
Answer:
Her annual salary is approximately $41,667
Step-by-step explanation:
Hello,
This question deals with percentage of a number and it's very easy :)
First of all, get the data and understand what's required of us.
Pam spends $7500 yearly on expenses
But this amount represents 18% of her annual income.
Let her annual income be represented by x
18% = 7500 / x
18÷100 = 7500÷x
cross multiply and solve for x
18 × x = 7500 × 100
18x = 750,000
divide both sides by 18
18x / 18 = 750,000 / 18
x = $41,666.67
x = $41,667
Her annual salary is approximately $41,667
Samuel is solving the equation 3 (x minus 1) + 4 = 2 minus (x + 3). Which equivalent equations might Samuel use? Check all that apply.
3 x minus 3 + 4 = 2 minus x minus 3
3 x minus 1 + 4 = 2 minus x + 3
3 x minus 3 + 4 = 2 minus x + 3
3 x + 1 = negative x minus 1
3 x + 3 = negative x + 5
3 x + 1 = negative x + 5
Answers
Answer: 3 x minus 3 + 4 = 2 minus x minus 3
3 x + 1 = negative x minus 1
Step-by-step explanation:
A and D. Edge 2020
The required equation that Samuel used is 3x -3 + 4 =2- x -3. option A is correct.
Samuel is solving the equation 3 (x minus 1) + 4 = 2 minus (x + 3). Which equivalent equations might Samuel use, is to be determined.
The equation is the relationship between variables and represented as[tex]y = ax +b[/tex] is an example of a polynomial equation.
Given equation is [tex]3(x-1) +4 =2 -(x+3)[/tex]
Simplification of the above equation,
opening the parenthesis on both sides
step 1⇒ 3x - 3 + 4 = 2 - x - 3
step 2⇒ 3x + 1 = -x - 1
Transposition of -x to the left side and +1 to the right side
step 4 ⇒ 3x +x = -1 -1
4x = -2
Transposition of 4 to the denominator of -2.
step 5⇒ x = -2/4
x = -1/2
Thus , Step 1 3x -3 + 4 =2- x -3 is the equivalent equation used by the samuel.
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An icicle is in the shape of an inverted cone with a diameter of 14 mm and a height of 60 mm. How much frozen water
is in the icicle? Use 3.14 for Round the answer to the nearest tenth
A 188.4 mm
B 980.0 mm
C 3,077.2 mm
D 9,231.6 mm
Answers
Answer:
Option C. 3077.2 mm³
Step-by-step explanation:
Data obtained from the question include the following:
Diameter (d) = 17 mm
Height (h) = 60 mm
Pi (π) = 3.14
Volume =?
Next, we shall determine the radius of the cone. This is illustrated below:
Diameter (d) = 17 mm
Radius (r) =.?
Radius (r) = diameter (d)/2
r = d/2
r = 14/2
r = 7 mm.
The radius therefore, is 7 mm.
To know how much frozen water
is in the icicle, we shall calculate the volume of the icicle using the formula for calculating the volume of a cone. This is illustrated below:
Height (h) = 60 mm
Pi (π) = 3.14
Radius (r) = 7 mm
Volume =..?
V = ⅓πr²h
V = ⅓ × 3.14 × 7² × 60
V = 3.14 × 49 × 20
V = 3077.2 mm³
Therefore, the amount of frozen water in the icicle is 3077.2 mm³
Answer:
C 3,077.2 mm
Step-by-step explanation:
Help please!!! Thanksss
Answers
Answer:
6:00 p.m.
hope this helps :)
Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans. x + y = 6. 15 x + 28 y = 116. x + y = 6. 28 x + 15 y = 116. x + y = 116. 15 x + 28 y = 6. x + y = 116. 28 x + 15 y = 6.
Answers
Answer:
2 28ounce cans and 4 15ounce cans
Step-by-step explanation:
28+28=56 and 15+15+15+15=60
56+60=116
Answer:
your answer is the second option
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST
Answers
Answer:
4 hours
Step-by-step explanation:
Formula for volume of a cylinder is πr² · h
1. Find the volume of the pool
π(3.5²) · 1.9 = 73.1 m³
2. Divide by the amount of water pumped out per hour (17 m³)
73.1 ÷ 17 = 4.3
It would take 5 hours to completely empty the pool but 4.3 rounded to the nearest whole hour is 4 hours.
Answer:
The hours does it take to empty the pool is 4.299
Step-by-step explanation:
In order to calculate how many hours does it take to empty the pool, we would have to make the following calculation:
hours does it take to empty the pool=Volume of cylinder/rate water is pumped out of the pool
rate water is pumped out of the pool=17m∧3
Volume of cylinder=pi*r∧2*l
According to the given data:
r=3.5
l=1.9
Therefore, Volume of cylinder=3.14*3.5∧2*1.9
Volume of cylinder=73.0835 m∧3
hours does it take to empty the pool=73.0835/17
hours does it take to empty the pool=4.299
The hours does it take to empty the pool is 4.299
Please help. I will give out brainliest
Answers
Answer:
the table is correct
the graph will look like:
WILL GIVE BRAINLIEST PLZ HELP
Answers
Answer:
y = -5x - 9.
Step-by-step explanation:
(-2, 1)
(0, -9)
(1 - -9) / (-2 - 0) = (1 + 9) / (-2) = 10 / (-2) = 5 / (-1) = -5
Since -5 is the slope, and the y-intercept is at (0, -9), we have an equation of y = -5x - 9.
Hope this helps!
Answer:
y=-5x-9
Step-by-step explanation:
Change in x = +2
Change in y=-10
-10/2=-5
m=-5
plug in an point
example:
1=-5(2)+B
B=-9
To check your answer:
y=-5x-9
plug in an point for x given on the chart:
-5(0)-9=-9
PLZZ HELPP WILL GIVE BRAINLIEST Graph the line y=25x+3. Use the line tool and select two points on the line. THIS IS A K12 TEST PLZZ
Answers
Step-by-step explanation:
you can use any value either in place of x or y to find the corresponding coordinate but if you want to find the x and y intercept you can desigate x as zero and find the y intercept and vice versa.
so to find x and y intercept
y=25x+3. to find x intercept designate y as zero
0=25x+3
-3=25x
x= -3/25. p( -3/25,0)
y=25x+3 to find y intercept designate x as zero
y=25(0)+3
y=3. p(0,3)
the above y and x intercept indicates the points that the line of equation pass through when drawn graphically.
HELPPPP I need help finding x a and b pleaseeee
Answers
Answer:
5x-18 this angle is equal to 92
3x+22 this angle is equal to 88
angle a=88
angle b=92
Step-by-step explanation:
set 5x-18 and 3x+22 equal to 180 and solve to get x=22. Now look for ways to fill in a and b. A is an alternate interior angle that will be equal to 3x+22
angle b will be equal to the angle 5x-18
Answer:
The value of x is22°, a is 88° and b is 92°.
Hope it helps..
What is the solution to this equation? 8 - 5(x - 3) = 18
Answers
Answer:
x = 1
Step-by-step explanation:
Given
8 - 5(x - 3) = 18 ( subtract 8 from both sides )
- 5(x - 3) = 10 ( divide both sides by - 5 )
x - 3 = - 2 ( add 3 to both sides )
x = 1
Find the value of x in the triangle shown below.
Answers
Answer:
x=48
Step-by-step explanation:
The other angle is 66° because it's an isosceles triangle
so
180=66+66+x
180=132+x
x=48
Answer:
48 degrees
Step-by-step explanation:
Since the triangle is iscoceles because it has two sides with a length of 7, two angles will be 66 degrees and the missing angle will be the sum of total angles in a triangle minus the other two 66 degree angles. 180 - 66 - 66 = 48
need HELP ON THIS A S AP !!!!!
Answers
Answer:
803.84yd²
Step-by-step explanation:
Surface Area of A Sphere: [tex]A=4\pi r^2[/tex]
We are given the radius of 8 yards.
Using 3.14 for pi:
[tex]A=4*3.14*8^2\\\\A=4*3.14*64\\\\A=12.56*64\\\\\boxed{A=803.84}[/tex]
The correct answer should be 803.84yd².
Brainilest Appreciated.
Answer:
803.84 yd^2
Step-by-step explanation:
4*3.14*8^2
12.56*64
803.84
brainliest pls
hope i helped
-ZYLYNN
a map is drawn to a scale of 1 cm to 250 cm.
(a) an airport has an area of 240 cm² on the map. find its actual area in km².
Answers
Answer:
0.0015 km².
Step-by-step explanation:
It is given that a map is drawn to a scale of 1 cm to 250 cm.
[tex]1\ cm\times 1\ cm=250\ cm\times 250\ cm[/tex]
[tex]1\ cm^2=62500\ cm^2[/tex]
It is given that an airport has an area of 240 cm² on the map. So, its actual area is
[tex]Area=240\times 62500\ cm^2[/tex]
[tex]Area=15000000\ cm^2[/tex]
[tex]Area=\dfrac{15000000}{10000000000}\ km^2[/tex]
[tex]Area=0.0015\ cm^2[/tex] [tex][\because 1\ km^2=10000000000\ cm^2][/tex]
Therefore, the area of airport is 0.0015 km².