In the figure below, X lies between W and Y.
Find the location of X so that the ratio of WX to XY is 1 to 7
Answers
Since , X lies between W and Y, the location of X so that the ratio of WX to XY is 1 to 7 is 7.01.
What is the location position about?In regards to math's, position is seen as the looking through a given location and it is one that is pertaining to another kind of thing or the lines.
Note that from the question:
W = -31
Y= -7
So - 7 - (-31) = 38
Now:
WX: XY = 1 :7
XY = 7K
WZ = K
Then 7k + K = 38
K = 38/7
K = 5.43
So XY = 5.43 x 7
= 38.01
So position of X = 38.01 + (-31)
X = 7.01
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Related Questions
What are the coordinates of the point that lies of the way along directed line segment AB with A(2,5) and B(14,9)?
Answers
1/4 of the distance between points A(2,5) and B(14,9) is given by the formula:
[tex]\begin{gathered} \frac{1}{4}AB=\frac{1}{4}\sqrt[]{(x_2-x_1)^2+(y_2}-y_1)^2 \\ \frac{1}{4}AB=\frac{1}{4}\sqrt[]{(14-2)^2+(9-5)^2} \\ \frac{1}{4}AB=\frac{1}{4}\sqrt[]{12^2+4^2}\text{ = }\frac{1}{4}\sqrt[]{144+16} \\ \frac{1}{4}AB=\frac{1}{4}\text{ }\sqrt[]{160}=\frac{1}{4}\times12.649=3.162 \end{gathered}[/tex]List the measures of the exterior angles for the triangle shown.
exterior angle at 60° interior angle:
°
exterior angle at 65° interior angle:
°
exterior angle at 55° interior angle:
°
Answers
Given,
The measurements of interior angles of a triangle are given:
60°, 65° and 55°
We have to find the corresponding exterior angles:
We know that exterior and interior angles are supplementary.
That is, the sum of the exterior and interior angle is 180°
So here,
Exterior angle at 60° interior angle:180° - 60° = 120°
Exterior angle at 65° interior angle:180° - 65° = 115°
Exterior angle at 55° interior angle:180° - 55° = 125°
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Need help for solving fox x
Answers
-6 is the value of X
The question can be answered by simply following the rules of angles of geometry. The rule that follows here is:
Rule: Vertically opposite angles are equal i.e whenever two straight lines cross, they create two pairs of equal vertically opposite angles.
Because, both the angles given in the question are vertically opposite to each other
Therefore, angle 80 degree = angle 86 + X
i.e 80 = 86 + X
--> 80 - 86 = X
--> -6 = X
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Select all the intervals where h is increasing A:-1.5< x < -0.5B: 0 < x <1c: 3.5 < x <4D none of the above
Answers
So,
We can identify that the function is increasing when it goes up.
In this graph, we can notice that the graph goes up in the intervals:
[tex]-1.5As the function increases in that whole interval, the correct answers are A and B.Change-4x - 2y = -6 to slope intercept form
(y=mx+b)
Answers
Answer:
Step-by-step explanation:
-4x-2y=-6
-2y=-6+4x
divide by -2
y=3-2x
y=-2x+3
factor -6 out of 18z-15
Answers
If we factor out -6 from the given expression, then we get the answer as -6(-3z + 5/2).
A factor may be defined as a number of another number which when divided by the other number leaves no remainder or it completely divides the other number. For example, 2 is a factor of 4 as when 4 is divided by 2 the remainder is zero. Now, we are given in the question that we need to factor -6 out of 18z - 15. In order to do that we divide and multiply -6 from the given expression. This can be represented as
-6 × (18z - 15)/(-6)
Further we get
-6 × (-3z + 15/6)
-6 × (-3z + 5/2)
which is the required value.
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lim
x→ pi/4
(sec x)/(4x^2 -5x)
Answers
The correct answer for the limit expression is √2 (π/4)(π - 5).
What is limit?
In mathematics, the value of the limit of a function always approaches as input and finally it approach to some value. It is used for the calculation of the continuity function, derivatives or calculus.
According to the question, the value of the variable 'x' should be substituted in the limit expression.
Now, the required expression will be:
[tex]\lim_{x \to \\pi /4} (secx)(4x^{2} -5x) = sec(\pi/4)(4(\pi /4)^{2} -5(\pi /4))[/tex]
Now, the value of the sec(pi/4) is √2
⇒ √2((π²/4)-5(π/4)) = √2 (π/4)(π - 5)
Hence, the correct answer for the limit expression is √2 (π/4)(π - 5).
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Help!
A. 1.5
B. 18
C. 24
D. 15
Answers
Answer:
the answer is B
Step-by-step explanation:
The point (-3,-2) is rotated 180 degrees about the origin. The coordinates of its image are:A. (−3,2)B. (3,2)C. (−2,−3)D. (2,3)
Answers
Given point :
(-3, -2)
When the rotation is about 180 degree about the origin then a point M(h, k)
will become M'(-h, -k)
So, the point (-3, -2) will become (-(-3), -(-2)) that is (3, 2)
Answer : Option (B)
56 POLES ARE SET 3 METERS APART IN A STRAIGHT LINE.HOW FAR IS IT FROM THE FIRST POLE TO THE LAST
Answers
Answer:
168 meters
Step-by-step explanation:
If each pole is 3 meters apart and there are 56 poles, you will need to multiply 56 x 3 and that will give you how many meters the first pole is from the last pole
Hope this helps
Please help me with my calculus homework :)
Answers
Given
Answer
Let the side of square be s
s = 10 ft
[tex]\Delta s=\pm0.1ft[/tex][tex]\begin{gathered} A=s^2 \\ \frac{dA}{ds}=2s \\ \text{ now error in area is} \\ dA=\frac{dA}{ds}\Delta s \\ dA=(2s)\pm0.1 \\ dA=2(10)(\pm0.1)=\pm2ft^2 \end{gathered}[/tex]Convert the measurement as indicated.
11 ft=_yd_ft
Answers
Answer:
3 yards, 2 feet
Step-by-step explanation:
Convert the measurement as indicated. 11 ft=_yd_ft
There are 3 feet in a yard so 3 yards (equal to 9 feet) and a remainder of 2 feet equal 11 feet so:
11 feet = 3 yards, 2 feet
I need the answer for these 2
Answers
The inequalities in interval notation are given below
What is an inequality?
An inequality in maths is a relationship that makes a non-equal distinction between two values as well as other mathematical expressions. It is most frequently used to compare the sizes of two digits on a number line. There are multiple formulae used to denote various types of inequalities:
(i) The symbol a < b indicates that a is less than b.
(ii) a > b indicates that a is bigger than b.
In either scenario, a and b are not equivalent. These are characterized as tight inequalities because a is either strictly less than or strictly bigger than b. Equivalence is not permitted. In contrary to rigorous inequalities, there are two forms of non-strict inequality relationships.
The inequalities in interval notation are given below:
(a) (0, 11)
(b) (9, 4]
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which of the following is a weakness of plotting a scatterplot and drawing a regression line?
Answers
Answer:
A
Step-by-step explanation:
i just did this one
The weakness of plotting a scatterplot is given below
What is a scatterplot?
A scatterplot (also known as a scatter plot, scatter graph, scatter chart, scattergram, or scatter diagram) is a form of plot or mathematical diagram that uses Cartesian coordinates to represent values for a collection of data for generally two variables. One more variable can be presented if the points are coded (color/shape/size). The data is represented as a collection of dots, with the value of one variable defining the horizontal axis and the value of the other variable determining the vertical axis. A scatterplot can be used when one continuous variable is within the experimenter's control and the other is reliant on it, or when both continuous variables are independent.
The weakness of plotting a scatterplot is:
(A) This provides no indication of whether there is cause and effect relationship.
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Find the equation of the line passing through points (6,0) and (-1,14).
Oy = 6x
y = -2x + 12
y = -2x + 14
y = 2x + 10
Answers
Answer:
y = - 2x + 12
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 0 ) and (x₂, y₂ ) = (- 1, 14 )
m = [tex]\frac{14-0}{-1-6}[/tex] = [tex]\frac{14}{-7}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 0 )
0 = - 12 + c ⇒ c = 0 + 12 = 12
y = - 2x + 12 ← equation of line
Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45)?
Answers
The estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.
EstimationGiven data or information :
Actual Product = ( – 21.06) (– 30.45)
Now let estimate the product by approximating the product to the nearest tenth.
Approximation :
So,
- 21.06 = - 21.1 ( Approximately )
- 30.45= - 30.5 ( Approximately )
Hence , her estimate can be calculated as :
Estimate :
Estimate = ( - 21.1) (-30.5)
Estimate = - 643.55
Therefore the estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.
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The complete question is:
Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45
front-end estimation
rounding to the nearest tenth
rounding to the nearest whole number
compatible numbers
Use your calculator on the following data X1=3, Y1=7, X2=4, Y2=8, X3=5, Y3=10.
Determine (1) correlation, (2) slope of the regression line, (3) y-intercept of the regression line:
Answers
From the given data-set, we have that:
The correlation coefficient is of: r = 0.982.The slope of the regression line is of: 1.5.The intercept of the regression line is of: 2.33. How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.
To find the correlation coefficient, we find the same strategy, inserting these points into a calculator of correlation coefficients.
From the data, the points are given as follows:
(3, 7), (4, 8), (5, 10).
Hence the correlation coefficient is of:
r = 0.982.
The line of best-fit is given by:
y = 1.5x + 2.33.
Which has a slope of 1.5 and an intercept of 2.33.
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Fully factorise w² - 144
Answers
Answer:
(w-12)(w+12)
Step-by-step explanation:
Using the identity
a^2-b^2=(a-b)(a+b)
now,
w^2-144=(w)^2-(12)^2=(w-12)(w+12)
The science club members are using transformations on coordinate grids to track the movement of constellations in the sky. Choose the left side of the constellation depicted by the line passing through (1,7) and (2.5,1), and find the linear functions that correspond to the series of motions of the side given below.
Answers
The linear function passing through points (1,7) and (2.5, 1) is given by:
y = -4x + 11.
What is a linear function?A linear function, in slope-intercept format, is modeled according to the rule presented below:
y = mx + b
In which the coefficients are described as follows:
The coefficient m is the slope of the function, representing the rate of change of the function.The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).For this problem, the two points that form the function are given as follows:
(1,7) and (2.5, 1).
The slope is given by change in y divided by change in x, hence it is given by:
m = (1 - 7)/(2.5 - 1) = -4.
Then:
y = -4x + b.
When x = 1, y = 7, hence we can find the intercept b of the function as follows:
7 = -4(1) + b
b = 7 + 4
b = 11.
Hence the equation is:
y = -4x + 11.
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PLEASE HURRY!
Write the following expression using the fewest possible terms.
(−4x − 15) + (17 + 7x)
3x + (−2)
3x + 2
11x + (−2)
11x + 32
Answers
The simplified expression of (−4x − 15) + (17 + 7x) is - 11x + 2.
How to simplify expression?The expression can be simplified as follows:
(−4x − 15) + (17 + 7x)
we have to open the brackets of the expression
(−4x − 15) + (17 + 7x)
−4x − 15 + 17 + 7x
Combine like terms
−4x − 15 + 17 + 7x
- 4x + 7x - 15 + 17
Do the arithmetic of the like terms
- 4x + 7x - 15 + 17
Therefore, the simplified expression is as follows:
- 11x + 2
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Answer: 3x+2
Ex:
(-4x-15)+(17+7x)
-4x-15+17+7x Remove unnecessary parentheses
3x-15+17 Add like terms
3x+2
-6n ≥ 18 or n+10> 18
Answers
The required result of the given inequality is n≤-3 or n>8.
What is inequality?
Inequality is a relationship between two different quantities or expressions. An inequality may be expressed by a mathematical sentence that uses the following symbols:
< is less than
> is greater than
≤ is less than or equal to
≥ is greater than or equal to
≠ is not equal to
Given, -6n≥18 or n+10>18
-n≤18/6 or n>18-10
n≥-3or n>8
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Cross out the unnecessary information. Then solve the problem.Pedro had a very busy Saturday. After a 6:00 a.m. tennis match, he hadbreakfast with his grandmother, stopped at the corner store to get an icecream cone, hurried to his Spanish lesson, stopped by the swimming poolfor a quick dip, and then ate lunch with his buddies. At 2:00p.m. he wentto a movie and finally stopped at the soccer match to cheer for the team.Just on time he met his family for pizza. When he arrived home he fell intobed and slept 14 hours. His clock showed 10:00 a.m. when he opened hiseyes the next morning. What time did Pedro fall into his bed?Yes
Answers
Pedro went to bed and slept 14 hours, when he woke up next day it was 10 am, it means he went to sleep 14 hours before 10am, it means he went to sleep at 8 pm
help meeeeeee
Write the verbal sentence as an equation or an inequality:
Four is greater than six times a number t.
Answers
Answer:
four is greater than six times a number t in an inequality sentence is 4 › 6 * t
Please help me with all I’ll mark you brainly
Answers
Answer:
am pretty sure am correct i hope it helps you
10+30b=-20
30b=-30
B=-1
Find the slope of the line:
Answers
Answer:
20
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
Choose any two points on the line. For this, I will use (0, 5) and (1, 25):
[tex]\frac{25-5}{1-0}=\frac{20}{1} = 20[/tex]
Use the rate and the amount of water pumped after 13 minutes to find how much will have been pumped into pool after 14.5 minutes? The unit rate is 24 gal/min so 1.5 minutes after 13 minutes, an additional gallons will be pumped in
Answers
An additional 36 gallons of water will be pumped into the pool past 13 minutes
Constant rate of flow: The definition of a constant rate of flow rate shows how fluid of a certain volume moves through a segment in a specified amount of time. Instead of measuring how quickly a fluid moves from point A to point B, the motion of fluids is examined by figuring out its flow rate. Specifically, how much fluid volume moves from point A to point B in a given amount of time.
Time for which water has been pumped into the pool = 13 minutes
Rate of flow of water = 24 gal/min
So, water pumped in 1.5 minutes = 24*1.5 = 36 gallons
Total water pumped in the pool in 14.5 minutes = 24*14.5 = 348 gallons
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question is in picture :) help me work out this problem
Answers
Given
Since they are similar
[tex]\begin{gathered} \frac{10}{4}=2.5 \\ \\ \\ \\ The\text{ scale factor is 2.5} \end{gathered}[/tex][tex]The\text{ square of scale factor=2.5}^2=6.25[/tex]Then multiply
[tex]6.25\times30=187.5[/tex]The final answer
[tex]187.5m^2[/tex]PLEASE CAN SOMEONE HELP ME PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Fill in the gap in the equation below by
completing the square.
2
x² +14x+55= (x + 7)² +
Answers
The correct value of the equation that's illustrated will be x² + 14x + 55= (x + 7)² + 6
How to illustrate the information?It should be noted that an equation can be used in order to show the relationship between the variables.
It should be noted that (x + 7)² will be:
= (x + 7)(x + 7)
= x² + 7x + 7x + 49
= x² + 14x + 49
Therefore, x² 14x + 55 - (x² + 14x + 49) = 6
In conclusion, the answer in the box is 6.
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A wheel on Amanda's bicycle is 0.3 m in diameter. Amanda races the bicycle for 35 m. How many times does the wheel turn as the bicycle travels this distance?
Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.
Answers
Answer: 37.2
Step-by-step explanation:
The circumference of the bike is [tex]0.3\pi \approx 0.3(3.14)=0.942[/tex] m.
Dividing this by the 35 m traveled, we get the bike turned [tex]\frac{35}{0.942} \approx 37.2[/tex]
What number gives a result of −5 when 8 is subtracted from the quotient of the number and 6?
Answers
Answer: 18
Step-by-step explanation:
n=number
-5=n/6 - 8
-5*6=6(n/6 - 8)
-30=n - 48
48-30=n-48+48
n=18