Points C and D are on a number line (not shown).
The coordinate of point C is -16 and the coordi-
nate of point D is 14. Point E is a point on line
segment CD. If the distance from point E to point
C is 1/4 the distance from point E to point D, what is
the coordinate of point E?
Answers
=============================================================
Explanation:
I recommend drawing out the number line. Plot -16 and 14 on it.
Either count out the spaces, or subtract and apply absolute value, to find the distance from -16 to 14 is exactly 30 spaces.
----------
Or you can think of it like this:
From -16 to 0 is 16 spaces
From 0 to 14 is another 14 spaces
That's 16+14 = 30 spaces total.
----------
In short, segment CD is 30 units long.
Point E is somewhere on segment CD.
x = distance from E to C
y = distance from E to D
x+y = EC+ED = CD = 30
x+y = 30
y = 30-x
We're told the distance from E to C is 1/4 the distance from E to D, so,
x = (1/4)*y
x = (1/4)*(30-x)
x = 0.25*(30-x)
x = 7.5 - 0.25x
x+0.25x = 7.5
1.25x = 7.5
x = (7.5)/(1.25)
x = 6
The distance from E to C is 6 units.
This means we'll add 6 units to the location of point C to find out where to place E
E = C+6 = -16+6 = -10 is the final answer
Related Questions
Solve.
³+y+z
3x-2y+22-2
−2x−y+3z − −4
Enter your answer, in the form (z,y,2).
6
Answers
Answer:
(2, -6, 1)
Step-by-step explanation:
Multiplying the first equation by 2 yields 4x+2y-2z = -6.
Adding this to the second equation, we get 9x=18, and thus x=2.
From the third equation, we know z=1.
From the first equation, it follows that y = -6.
Question 6
14.28 pts
A vacation home in Orlando, Florida, rents for $130 per day. The function (x) = 130x gives the cost of renting the
home for x days. What is the reasonable range of the function in this context?
Answers
The reasonable range of the given function is given by {130, 260, 390, 520, .......}.
What is a range?A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range simply refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.
How to determine the reasonable range of the given function?In order to determine the reasonable range of the given function, we would create an input and output table to model the relationship between the range and domain as follows:
x 130x y___
1 130(1) 130
2 130(2) 260
3 130(3) 390
4 130(4) 520
Therefore, the reasonable range of the given function is given by {130, 260, 390, 520, .......}.
Read more on reasonable range here: https://brainly.com/question/17319601
#SPJ1
Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. There were 216,000 cars sold last year. Write an equation that can be used to find the number of trucks, t, sold last year.
Answers
Answer:
(39,000 + 3t = 216000.) t = 59000
Step-by-step explanation:
(How to find t) First, subtract 39000 from 216000. Divide that by 3. Your answer is 59000.
3+x=x^2+3x Rewrite the equation by completing the square. What are the solutions to the equation?
Answers
Answer:
hope this helps
Step-by-step explanation:
3+x=x²+3x
Simply the equations.
= x+3=x²+3x
Subtract x²+3x from both sides.
x+3−(x²+3x)=x2+3x−(x²+3x)
−x2−2x+3=0
Factor left side of equation.
(−x+1)(x+3)=0
−x+1=0 or x+3=0
Answer:
x=1 or x=−3
When building a house, the number of days required to build is inversely
proportional to with the number of workers. One house was built in 56 days by 11
workers. How many days would it take to build a similar house with 28 workers?
Answers
Answer:
118?
Step-by-step explanation:
2(3 - 8y) =
What is the anwser:
Answers
Answer:
2(3 -8y)
6 - 16y
i can't go any further
Whats the output value for y= 3x+5
1.the output value is x or y ?
Answers
the output would be y because it is by itself on the left side of the equation symbol.
Which of the following statements best explains the data collected by the student shown in the above table?
Answers
Answer:
i think its j
Step-by-step explanation:
I need help with an equation for this problem
Answers
Answer:
x ≤ 9
Step-by-step explanation:
2) Do the inverse operation of -6 which is adding 6. (then cross it out so you don’t get confused if you want)
3) Whatever you do, do the same on the other side of the inequality, so add 6 to 3.
4) x is less then or equal to 3.
A triangular plot of land has sides of lengths 420 feet, 330 feet, and 180 feet. Approximate the smallest angle between the sides. The choices are rounded to the nearest degree.
A. 30 degree
B. 27 degree
C. 22 degree
D. 24 degree
Answers
Answer:
D. 24 degree
Step-by-step explanation:
Sides of the triangle are
a = 330 ft
b = 180 ft
c = 420 ft
From cosine rule we have
[tex]\angle A=\cos^{-1}(\dfrac{b^2+c^2-a^2}{2bc})\\ =\cos^{-1}(\dfrac{180^2+420^2-330^2}{2\times180\times 420})\\ =48.65^{\circ}[/tex]
[tex]\angle B=\cos^{-1}(\dfrac{a^2+c^2-b^2}{2ac})\\ =\cos^{-1}(\dfrac{330^2+420^2-180^2}{2\times 330\times 420})\\ =24.17^{\circ}[/tex]
[tex]\angle C=\cos^{-1}(\dfrac{a^2+b^2-c^2}{2ab})\\ =\cos^{-1}(\dfrac{330^2+180^2-420^2}{2\times 330\times 180})\\ =107.19^{\circ}[/tex]
The smallest angle in the triangle is [tex]\angle B=24.17^{\circ}[/tex].
Sumbody kome in clutch for me
Answers
Explanation: my brain
Please help I will mark brainliest
Answers
7 is congruent to 3 : Corresponding Angles
4 is congruent to 1 : Alternate Interior Angle Theorem
-i have geometry too!!
In a three digit number, the tens digit is equal to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits are reversed, the new number is 11 less than half the original number. Find the original number.
Answers
572
Olive Boi is funny, he answered 123 l m f a o
Answer:
572
Step-by-step explanation:
Tens is T, Hundreds is H, and Units is U.
T=H+U
H=U+3
HTU÷2-11=UTH
From this point, I just started guessing. Sorry.
In the currency pair USD/CAN, USD is what currency?
Answers
So American money
Which of the tables represents a function? (5 points)
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Answers
Answer:
Step-by-step explanation :The input-output table is able to “depict the relationship between different sectors of the national economy, and the structural connection of production and final demand in a consistent manner” (KSH, 2005, p. 5). A basic requirement of the table is symmetry, which means that sectoral output and use have to be equal.
im not sure though hope this kinda helps
Anyone know the answer ?
Answers
Answer:
The area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
Step-by-step explanation:
Given
height or length = l = 6x³width = w = 3x³+8x²+xWe know that Area of the rectangle
A=wl
= (3x³+8x²+x) × (6x³)
[tex]=\left(6x^3\right)\times \:3x^3+\left(6x^3\right)\times \:8x^2+\left(6x^3\right)x[/tex]
[tex]=3x^3\left(6x^3\right)+8x^2\left(6x^3\right)+x\left(6x^3\right)[/tex]
[tex]=18x^6+48x^5+6x^4[/tex]
Thus, the area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
TIMED PLEASE HURRY WILL MARK BRAINLIEST
In the world’s coldest freezer, sodium gas was cooled to a temperature of 78.5°C below zero and then cooled 194.65°C more. What was the new temperature of the sodium gas? –273.15°C –272.7°C –202.5°C –116.15°C
Answers
Answer:
The answer is A) –273.15°C, good luck!
Answer:
its a
Step-by-step explanation:
What is an equation of the line that passes through the points (-3, 3)
and (-6, 2)? Put your answer in fully reduced form.
Answers
Answer:
y=[tex]\frac{1}{3}[/tex]x +4
Step-by-step explanation:
Seven more than three times a number is twenty-eight.
Write the equation for this problem and solve it.
Answers
Answer:
7+3n=28 and the answer would be n=7
Step-by-step explanation:
7+3n=28 subtract 7 on both sides, that would leave 3n=21, divide 3 on both sides, the answer would be n=7 if I'm correct. I hope I helped.
In the attachment count the shaded, and the total amount make it to a fraction, and then simplify to make it to a percentage
Answers
Answer:
30/75 2/5
Step-by-step explanation:
there are 30 shaded squares, and a total of 75 squares. Therefore the fraction is 30/75. This can be simplified to 2/5 if both sides are divided by fifteen.
To make a percentage, simply divide 2 by 5 which equals 0.4 = 40%
If sin theta= 3/4and angle A is in Quadrant I, what is the exact value of tan 2theta in
simplest radical form?
Answers
Answer:
-6[tex]\sqrt{7}[/tex] /434
Step-by-step explanation:
slope = 1/2, through: (3, 1)
Answers
Answer:
m=0
Step-by-step explanation:
The table below shows last year's gross income, standard deduction, and
number of exemptions for four different workers.
"d/
Gross
Income
Standard
Deduction
Number of Exemptions at
$3650 Each
Clara
$61,788
$5700
1
Esther $66,837
$8350
2
Jerry
$67,902
$5700
3
Leo
$63,478
$8350
1
Assuming that each worker used the standard deduction and that none of the
workers had any additional adjustments, which worker had the lowest taxable
income last year?
A. Esther
B. Clara
C. Leo
O D. Jerry
Answers
Answer:
I am pretty sure answer is Leo he has the lowest dollar amount with the lowest number of exemptions that is how I did the one I just took and did fine
Step-by-step explanation:
please help do this am struggle
Answers
Answer:that's hard
Step-by-step explanation:
a sample of 58 items is selected. The mean of the sample is determined to be 36. The associated number of degrees of freedom for reading the t value is:
Answers
This question is incomplete, the complete question is;
In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 58 items is selected. The mean of the sample is determined to be 36. The associated number of degrees of freedom for reading the t value is :
a. 35.
b. 57.
c. 36.
d. 58.
Answer: Option b. 57 is the correct answer.
Step-by-step explanation:
Given that;
sample size n = 58
sample mean x" = 36
degrees of freedom for reading the t value is = ?
we know that;
Degree of freedom df = n - 1
where n is the sample size
so we substitute
Degree of freedom df = 58 - 1
Degree of freedom df = 57
Therefore Option b. 57 is the correct answer.
This diagram shows a convex polygon.
What is the value of a?
*Picture Attached*
Answers
Answer:
216?
Step-by-step explanation:
PLEASE HELP ME FAST!!! THIS IS DUE TODAY I JUST NEED TO GRAPH THE EQUATION
Answers
Answer: Put the problem into Desmos Graphing Calculator
Step-by-step explanation:
Two cylindrical science beakers are similar. The smaller beaker has a radius of 2 centimeters and a height of 4 centimeters. Its volume is
about 50 cm. The larger beaker has a height of about 16 centimeters.
Approximately what is the volume of the larger beaker?
A. 3,200 cm
OB. 1,600 cm
OC. 800 cm
OD. 200 cm
Answers
Answer:
itsa 1200 B
Step-by-step explanation:
On the coordinate plane, the segment from X(–
2,2) to Y(8,2) forms one side of △XYZ. The triangle has an area of 20 square units. Select all of the points where Z could be
0,6; 8,6; 4,2; 7,-2
Answers
The coordinates of Z will be Z(8,6) and Z(4,2)
The formula for the area of triangle is given as :
A = 1/2 * b * h
where , b = base
h = height
We have been a ΔXYZ with coordinates of
X(-2,2) and Y(8,2)
Also the given area is 20 sq. units
We need to find the coordinates of Z from the given question.
First we will find the length of XY which is
XY = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2}- y_{1}) ^{2} } \\[/tex]
= √(8+2)² + (2-2)²
= √100
= 10 units
Let z= (0,6)
distance of YZ = √(0-8)² + (6-2)²
= √64+ 16
= √80
Area = 1/2 * 10* 4√5 = 20√5 ≠ 20
Let Z = (8,6)
distance of YZ = √(8-8)² + (6-2)²
= √16
= 4
Area = 1/2 * 10* 4 = 20
let Z = (4,2)
distance of YZ = √(4-8)² + (2-2)²
= √16
= 4
Area = 1/2 * 10* 4= 20
Let Z = (7,-2)
distance of YZ = √(7-8)² + (-2-2)²
= √1 + 16
= √17
Area = 1/2 * 10* √17 = 5√17 ≠ 20
Hence the coordinates of Z will be Z(8,6) and Z(4,2) as putting these value we get area equal to 20 square units.
Learn more about area of triangle here : https://brainly.com/question/19044159
#SPJ9
!!!HELP ME HELP PLSSSSSSS!!!!!!!!!!
What is the measure of angle x?
Answers
Answer:
65
Step-by-step explanation:
Im to lazy to do the math