Answers
Answer:
The correct answer is first option
(t + p, r)
Step-by-step explanation:
Points to remember
midpoint formula
Length of a line segment with endpoints (x1, y1) and (x2, y2) is given by,
Midpoint= [(x2 + x1)/2 , (y2 + y1)/2]
To find the midpoint of EC
Let (x1, y1) = E(2t, 0) and (x2, y2) = C(2p, 2r)
Midpoint = [(2t + 2p)/2 , (0 + 2r)/2]
= (2(t + p)/2 , 2r/2)
= (t + p, r)
Therefore midpoint of EC = (t + p, r)
The correct answer is first option
Related Questions
The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to model the same sequence?
Answers
C. f (x) = 18 (2/3)x-1
Step-by-step explanation:
I got it right on edge. please mark brainliest!!
Write the quadratic equation whose roots are −2 and 4, and whose leading coefficient is 5.
Answers
Answer:
10x2 + 30x - 40
Step-by-step explanation:
If the two roots are -2 and 4 then the factors shall be;
5(x+2)(x-4)
5 is the leading coefficient.
FOIL:
f(x) = 5(x2+4x+2x-8) =
f(x) = 5(x2+6x-8) =
f(x) = 10x2 + 30x - 40
Answer:5x^2-10x-40=0
Step-by-step explanation:
x=-2 or x=4
x+2=0 or x-4=0
(x+2)(x-4)=0
x^2-4x+2x-8=0
x^2-2x-8=0
Multiply the equation by 5
5x^2-10x-40=0
Greg's ceiling fan rotates 30 degrees and then stops. How many more times does it need to rotate to make a full rotation?
Answers
Answer:
330 degrees
Step-by-step explanation:
a full rotation is 360 degrees and if you subtract 30 from 360 its 330
Final answer:
To complete a full rotation, Greg's ceiling fan, which has already rotated 30 degrees, needs to rotate one more time, as there are 330 degrees left to reach 360 degrees, which is a full rotation.
Explanation:
Greg's ceiling fan rotates 30 degrees and stops. To determine how many more times the fan needs to rotate to complete a full rotation, first, we need to know that one full rotation is equal to 360 degrees. As the fan has already rotated 30 degrees, we subtract this from 360 degrees:
360 degrees - 30 degrees = 330 degrees.
Now, because one full rotation is 360 degrees, we divide the remaining degrees by 360 to find the number of additional rotations needed:
330 degrees / 360 degrees per rotation = 0.9167 rotations.
Since a fan cannot complete a fraction of a rotation in terms of action, Greg's ceiling fan would need to rotate one more time to make it a complete rotation.
Please Answer both with Solution and Explanation. Will give Brainliest
1. What are the roots of [tex]x^{2}[/tex] - 2x + 2?
2. The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below:[tex]\[\square^4=16.\][/tex]Find them. Please
Answers
Step-by-step explanation:
1) Given quadratic expression is [tex]x^2-2x+2[/tex]
First equate the given expression to zero then we will find the roots.
Since the given equation is quadratic hence it has two roots.
To find the roots of the given quadratic equation :For the quadratic equation we have that [tex]ax^2+bx+c=0[/tex]
Therefore roots [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex] here a and b are coefficients of [tex]x^2andx[/tex] respectively and c is a constant
[tex]x^2-2x+2=0[/tex] here a=1 ,b=-2 and c=2
Now Substitute the values in [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex] we get
[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]
[tex]=\frac{2\pm \sqrt{4-8}}{2}[/tex]
[tex]=\frac{2\pm \sqrt{-4}}{2}[/tex]
[tex]=\frac{2\pm \sqrt{4i^2}}{2}[/tex]
[tex]=\frac{2\pm2i}{2}[/tex]
[tex]=2(\frac{1\pm i}{2})[/tex]
[tex]x=1\pm i[/tex]
Therefore [tex]x=1+i[/tex] and [tex]x=1-i[/tex] are the roots of the given quadratic equation.
2) Given that the number 16 has four roots.In other words, there are four complex numbers that can be entered in the square .
Let x be the given number 16
i.e., x=16
From the given we can write [tex]x^4=16[/tex]Since the number has complex number as its rootsTherefore we can write [tex]x^4=(2i)^4[/tex] as below[tex]=2^4i^4[/tex] ( by using the formula [tex](ab)^m=a^mb^m[/tex] )
[tex]=16(1)[/tex] ( by [tex]i^2=-1[/tex] and [tex]i^4=(i^2)^2=(-1)^2=1[/tex] )
[tex]x^4=16=(2i)^4[/tex]
Therefore [tex]x^4=(2i)^4[/tex]
Since powers are same we can equate the bases ( bases are equal )
Therefore x=2i,2i,2i,2i are the roots of the given number 16 and they are complex numbers too
jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week. Jed pays a total of $5935 in wages each How many full-time and part-time employees does he have? Let f= number of fulltime employees, and p= number of part-time employees.
Answers
The number of full time employees is 17 and the number of part time employee is 9
Step-by-step explanation:
Step 1 :
Let f represent the number of full time employee and p represent the number of part time employee
Total number of employees = 26
Hence we have f + p = 26
Step 2 :
Wages of full time employee = $275
Wages of part time employee = $140
Total wages paid by Jeds = $ 5935
Hence we have 275 f + 140 p = 5935
Step 3:
Solving the equations obtained in step 1 and step 2 we have
f + p = 26, Multiplying by 275 = > 275 f + 275 p = 7150
275 f + 140 p = 5935
Subtracting equation 2 from 1 we have
135 p = 1215 => p = 9
Substituting this in f + p = 26 gives, f + 9 = 26
So f = 17
Step 4 :
Answer :
The number of full time employees is 17 and the number of part time employee is 9
Graph a line that contains the point (-5,6) and has a slope of 2/3
Answers
Answer:
y= 2/3x + 28/3
Step-by-step explanation:
First, write your equation as y=2/3x+b. Plug in your coordinate into the equation, it should look like this: 6=2/3(-5)+b. Multiply 2/3 by -5 to get -10/3. It should look like this: 6= -10/3+b. Add 10/3 to both sides to get your y-intercept of 28/3. Go back to your original equation and plug 28/3 into b. This is your final equation: y= 2/3x + 28/3. Hope this helped!
78 is the geometric mean of 30 and what number
Answers
Answer:
202.8
Step-by-step explanation:
The geometric mean of 2 numbers a and b is
[tex]\sqrt{ab}[/tex]
Here a = 30 and mean = 78, thus
[tex]\sqrt{30b}[/tex] = 78
To clear the radical square both sides
([tex]\sqrt{30b}[/tex] )² = 78², that is
30b = 6084 ( divide both sides by 30 )
b = [tex]\frac{6084}{30}[/tex] = 202.8
0.45 plus 9x equals 27
Answers
Answer:
x = 2.95
Step-by-step explanation:
Step 1: Convert words into an expression
0.45 plus 9x equals 27
0.45 + 9x = 27
Step 2: Solve for x
0.45 + 9x - 0.45 = 27 - 0.45
9x / 9 = 26.55 / 9
x = 2.95
Answer: x = 2.95
A rectangular prism has a base that is 6 meters by 3.5 meters, and the prism is 9 meters high. What is the surface area of the prism?
Answers
Answer:
213 m^2
Step-by-step explanation:
The surface area for a rectangle prism is given by
A=2(wl+hl+hw)
We know the base is 6 meters by 3.5 m so l = 6 and width =3.5
The heigth is 9 m
A = 2 ( 6*3.5 + 9* 6 + 9* 3.5)
= 2 * (21 +54 +31.5)
= 2*(106.5)
=213 m^2
Answer:
213 square meters
Step-by-step explanation:
The surface area for a rectangle prism is given by
A=2(wl+hl+hw)
We know the base is 6 meters by 3.5 m so 6 * 3.5
The height is 9 m
A = 2 ( 6*3.5 + 9* 6 + 9* 3.5)
= 2 * (21 +54 +31.5)
= 2*(106.5)
=213 m^2
Hi, I need help with my math please
Answers
Answer:
Answer:
A-H are all true facts except for C which is false. that you have to show and prove are true and false.
Rate of change Purr Island (5 questions name the letter to the workings answer and matched it) Show constant = 4 cats per year also seen as 40% rate of change. The common factor of 3 is only seen up on year 1 and year 4. as year 0 shows 2 and 4 does not fit into 2. Explain year 2 that 4 does not fit into 10 on year 2 does not as 2p-6p-10p-14p-18p may change 10p over the last 3 years and CF 3 does not fit into that or any individual (adjacent) proceeding years.
Step-by-step explanation:
The rate of change Meow Island : 3 of the 8 questions is asked to say true to all of them (name the letter to the answer the workings after you wrote this and matched it) Shows it triples = and yes they have common factors of 3 show 2, 6, 18, 54, 162 each share a common factor of 3, draw tree diagrams or show common factors of 3 and state you compare them to factors of 2 162>2x81 162> 3x27 54>2x27 54>3x18 18>2x9
18>3x6 6>2x3 6>3x2 2>2 population start number this doesnt have a common factor until it is factored into 6 ro show a common factor for 6. This also proves linear change occurs over the 4 years as population 2-156 is a series of 4 changes and underline the >3x numbers.
What is the solution to the differential equation dydx=5y2 with the initial condition y(0) = 3?
Answers
Differential equation is a way to represents the relation between the functions and their variables. The solution to the differential equation given in the question is,
[tex]y=\dfrac{3}{15x-1}[/tex]
Given-
The equation in the question is,
[tex]{dy\times {dx}=5y^2[/tex]
What is differential equation?Differential equation is a way to represents the relation between the functions and their variables.
Rewrite the equation,
[tex]\dfrac{dy}{5y^2} =dx[/tex]
Integration both sides,
[tex]-\dfrac{1}{5y} =x+c[/tex]
Here, c is the integrating constant.
Now the given initial condition is,
[tex]y(0)=3[/tex]
Use this for the integrated function to find the value of the constant,
[tex]-\dfrac{1}{5\times 3} =c[/tex]
[tex]c=-\dfrac{1}{15}[/tex]
Put this value in equation we get,
[tex]-\dfrac{1}{5y} =x-\dfrac{1}{15}[/tex]
[tex]y=\dfrac{3}{15x-1}[/tex]
Hence the solution to the differential equation given in the question is,[tex]y=\dfrac{3}{15x-1}[/tex]
For more about the differential equation follow the link below-https://brainly.com/question/25731911
To solve the differential equation dy/dx = 5y^2 with the initial condition y(0) = 3, use separation of variables and integration. Substitute the initial condition to find the specific solution.
Explanation:To solve the differential equation dy/dx = 5y^2 with the initial condition y(0) = 3, we can use separation of variables.
First, rewrite the equation as dy/y^2 = 5dx. Integrate both sides: ∫1/y^2 dy = ∫5 dx. This simplifies to -1/y = 5x + C.
Next, apply the initial condition y(0) = 3: -1/3 = 0 + C. Therefore, C = -1/3.
Substitute C back into the equation: -1/y = 5x -1/3. Solve for y: y = -1/(5x -1/3).
Learn more about Solution to a differential equation here:https://brainly.com/question/36023383
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Evaluate the expression. 33 + 6( 2 + 36 )
Answers
Answer: 261
Step-by-step explanation:
You use PEMDAS to solve this problem
you first do the Parenthesis (p)
33+6(2+36)
33+6 (38)
We then multiply first (M)
33 + 6(38) - we know that 8 times 6 is 48 ; 6 times 3 is 18 +4 because we brought down the 4 from 48 to 3. which will be equal to 228
33 + 228
261
.find the distance between the points (4, 3) and (0, 3).
a) 2
b) 4
c) 10
d) 12
Answers
Answer:The answer is 4
Step-by-step explanation:
Edmond is on the third day of his hike up Glacier Peak. The graph below shows his hiking time and altitude for the third day only.
What was his altitude at the beginning of the third day?
A. 5,000 feet
B.
3,500 feet
C. 3,000 feet
D 4,000 feet
Answers
Answer: 3,500 feet
Step-by-step explanation:
To determine the original altitude for the third day, identify the y-intercept of the graph.
Therefore, the original altitude was 3,500 feet.
Answer: my question was a little different but i posted an image of the correct answer.
Step-by-step explanation:
To determine the original altitude for the third day, identify the y-intercept of the graph.
Therefore, the original altitude was 4,000 feet.
Could a right triangle ever be an equilateral triangle?
Answers
Answer: An equilateral triangle can NOT be a right triangle.
Step-by-step explanation:
In a right triangle, however, the 3 angles can NOT be congruent. This is because in a right triangle, one angle equals 90 degrees. Therefore, you can't have 3 angles equal 90 degrees.
Answer:
n equilateral triangle can not be a right triangle. ... In a right triangle, however, the 3 angles can NOT be congruent. This is because in a right triangle, one angle equals 90 degrees. Therefore, you can't have 3 angles equal 90 degrees.
Step-by-step explanation:
Please mark me as brainliest... I really would appreciate that
-5√112 radical expression
Answers
Answer:−
-20 √ 7
Step-by-step explanation:
find the dimensions of the sports field at the right if the width is at least 60 yards AREA = 240 - 400X SQUARE YARDS
Answers
Answer:
The dimensions of the sports field are 80 yards and 3 - 5x yards
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Width of the sports field = At least 60 yards
Area of the sports field = 240 - 400x square yards
We can conclude the shape of the sports field is rectangular.
2. Find the dimensions of the sports field.
A. We need to find the Greatest Common factor between 240 and 400, this way:
The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 .
The factors of 400 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 .
Then the greatest common factor is 80.
This GCF is also higher than 60, therefore it's one of the dimensions of the sports field.
Now, we calculate the other side of the sports, this way:
Second dimension of the sports field = (240 - 400x)/80
Second dimension of the sports field = 3 -5x
The dimensions of the sports field are 80 yards and 3 - 5x yards
Answer:
80(3-5x)
Step-by-step explanation:
240-400x
GCF: 80
Factored expression: 80(3-5x)
Select Statistical or Not statistical to classify each question.
Question Statistical Not statistical
Which radio station does each of my friends prefer?
How far can each radio station broadcast its signal?
Which radio station is located on the west side of town?
Answers
Answer:1 yes. 2 yes. 3 no.
Step-by-step explanation:
i did it in the oms
3. Triangle ABC has angle measures as shown.
Answers
6/8=y/16 how do you find the proportion of value y
Answers
That means for the equation to be true y has to be 12.
Hope this helps!
The equation 4 + 9 = 4 + 9 is an example of which property of equality? *
Transitive
Symmetric
Substitution
Reflexive
Answers
Answer:
Reflexive
Step-by-step explanation:
The reflexive property of equality says that a given real number is always equal to itself.
For example :
[tex]y = y[/tex]
[tex]a = a[/tex]
[tex]b = b[/tex]
[tex]5 = 5[/tex]
are all examples of reflexive properties of equality.
[tex]4 + 9 = 4 + 9[/tex]
can be simplified to
[tex]13 = 13[/tex]
Which is explains why it is the reflexive property.
Use the dot plot to answer questions.
Deanna's mean score is approximately
90
90.93
92
92.4
Amy's mean score is approximately
88.5
90
90.27
92.4
Answers
Answer:
90.93 and 90.27
Step-by-step explanation:
2. need answer soon :) will give brainlyest
What number solves the equation 1/8 (x + 9) = 5?
Answers
Answer:
31
Step-by-step explanation:
Answer:
The number is 31
Step-by-step explanation:
Step 1: Distribute
1/8 (x + 9) = 5
1/8x + 9/8 = 5
Step 2: Subtract 9/8 from both sides
1/8x + 9/8 - 9/8 = 5 - 9/8
1/8x = 31/8
Step 3: Multiply both sides by 8
1/8x * 8 = 31/8 * 8
x = 31
Answer: The number is 31
A wagon is on sale for 20% off. The sale price of the wagon is $114. What was the original price of the wagon assuming no sales tax is paid on the item? Report your answer to two decimal places. Do not include the dollar sign, $, in the answer box below.
Answers
To calculate the original price of a wagon on sale at 20% off, divide the sale price of $114 by 0.80, resulting in the original price of $142.50.
To find the original price of the wagon before the 20% sale, we have to determine what $114 represents after the discount has been applied. If $114 is 80% of the original price (100% - 20% = 80%), we need to find 100% by dividing $114 by 0.80:
Original Price = Sale Price / (1 - Discount Percentage)
Original Price = $114 / 0.80
Original Price = $142.50
So, the original price of the wagon before the sale was $142.50.
do these measurements represent the side lengths of a right triangle 12ft 20ft and 24ft
A. yes
B. No
Answers
Answer:
B. No
Step-by-step explanation:
We can test this theory using Pythagorean's theorem:
a² + b² = c²
12² + 20² = 24²
144 + 400 = 576
544 ≠ 576
So you can conclude that this is not a right triangle.
She took $20 with her to the movies. When she come back with $6. How much money did she spend
Answers
Answer:
$14
Step-by-step explanation:
$20 minus the $6 she came back with equals $14, which is what she spent.
(20-6=14)
Answer:
$14
Step-by-step explanation:
Take 6 away from 20
what is 0.1 X 9670 equal to?
Answers
Answer:
967
Step-by-step explanation:
0.1 x 9670 = 967
Find the slope of the line that passes through (9,3) and (6,3)
Answers
Answer:
0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-3)/(6-9)
m=0/-3
m=0
e:-6=3:9 what is the blank
Answers
Answer:
e=-2
Step-by-step explanation:
3*x=9
3*3=9
x=3
e*x=-6
e*3=-6
e=-6/3
e=-2
In a survey of 300 house wires. It was discovered
that 150 had read magazine A, 200 had
read Magazine B and 156 had read
magazine C It was further discovered
that 48 had read A and B 60 had
read B and a while 52 hand read
A and a . Find
The number of housewives that had read.
all three magazine
Answers
Answer:
46 housewives read all three magazines.
Step-by-step explanation:
Given:
n(A) = 150
n(B) = 200
n(C) = 156
n(A∩B) = 48
n(B∩C) = 60
n(A∩C) = 52
n(A∪B∪C) = 300
so we know the relation as:
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)
∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) - n(A∪B∪C)
= 150 + 200+ 156 - 48 - 60 - 52 - 300
= 46
Hence the number of housewives that had read all three magazine is 46.
Answer:
46 housewives read all three magazines.
Step-by-step explanation: