Winston-Salem is halfway between Boone and Raleigh. Burlington is halfway between Winston- Salem and Raleigh. If Boone is located at the coordinates (-1,3) and Raleigh is at (-5, 9), what are the coordinates of Burlington?
Answer:
The answer is (-4, 15/2)
Step-by-step explanation:
Let the Boone be x, Winston-Salem be y, Raleigh be z and Burlington be m.
We are given that Winston-Salem is halfway between Boone and Raleigh. Burlington is halfway between Winston- Salem and Raleigh.
If Boone is located at the coordinates (-1,3) and Raleigh is at (-5, 9).
We will use Midpoint Formula
[tex]( \frac{x _{1} + x _{2}}{2} , \frac{y _{1} + y _{2}}{2} ) \\ [/tex]
Where,
x₁ = (-1) and x₂ = (-5)
y₁ = 3 and y₂ = 9
Now, We will find Co-ordinates of y i.e., Winston-Salem.
So,
[tex] ( \frac{( - 1) + ( - 5)}{2} , \frac{3 + 9}{2} ) \\ [/tex]
[tex]( \frac{( - 1 - 5)}{2} , \frac{12}{2} ) \\ [/tex]
[tex]( \frac{ - 6}{2} , \frac{12}{2} ) \\ [/tex]
[tex]( - 3,6)[/tex]
Here, The coordinates of y i.e., Winston-Salem is (-3, 6).
Now, We will find Co-ordinates of m i.e., Burlington.
So,
Again, Using of Midpoint Formula;
Where,
x₁ = (-3) and x₂ = (-5)
y₁ = 6 and y₂ = 9
So,
[tex]( \frac{( - 3) + ( - 5)}{2} , \frac{6 + 9}{2} ) \\ [/tex]
[tex]( \frac{( - 3 - 5)}{2} , \frac{15}{2} ) \\ [/tex]
[tex]( \frac{( -8)}{2} , \frac{15}{2} ) \\ [/tex]
[tex]( - 4 , \frac{15}{2} ) \\ [/tex]
Thus, The coordinates of Burlington is (-4, 15/2).
hellllp meeeee need help, 100 points
Answer:
Step-by-step explanation:
View the attached graph for what your image should look like.
I hope this helps or gives you a picture of what it should look like, because it's quite a long process.
Hope this helps!
8. Which statement about quadrilateral is true? A All rectangles are always squares B. All trapezoids are always rhombuses C. All rectangles are always rhombuses. D. All rectangles are always parallelogram
Answer:
I think it's D. All rectangles are always parallelogram
Step-by-step explanation:
Please mark me brainliest if correct
Find the center and the radius of the circle.
(x-4)^2 + (y + 3)^2 = 74
Answer:
radius = [tex] \sqrt{74} [/tex]center = [tex](4,-3)[/tex]Step-by-step explanation:
We would like to calculate the centre and the radius of the circle . The given equation is ,
[tex]\longrightarrow (x - 4)^2+(y+3)^2=74 [/tex]
As we know that the Standard equation of circle is given by ,
[tex]\longrightarrow (x - h)^2+(y-k)^2=r^2[/tex]
where ,
[tex](x,y)[/tex] is a point on circle .[tex](h,k)[/tex] is the centre of circle .[tex]r[/tex] is the radius of the circle .We can rewrite the equation as ,
[tex]\longrightarrow (x-4)^2+\{ y -(-3)\}^2=(\sqrt{74})^2\\ [/tex]
Now on comparing to the standard form , we have ;
radius = [tex]r[/tex] = [tex]\sqrt{74}[/tex]center = [tex](h,k)[/tex] =[tex](4,-3)[/tex]Graph :-
[tex] \setlength{\unitlength}{7mm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\circle*{0.2}}\put(0.2, - .1){(4,-3)}\put(-1.2,0){\vector(0,1){5}}\put(-1.2,0){\vector(0, - 1){5}}\put(-1,0.7){\vector(1,0){5}}\put(-1,0.7){\vector( - 1,0){5}}\put(0,0){\line(-1,0){2.3}}\put( - 1.2,-0.7){$\sf \sqrt{74}$}\put(2,6){$\boxed{\sf \textcopyright \: RISH4BH }$}\end{picture} [/tex]
And we are done !
We are given the equation of circle (x - 4)² + (y + 3)² = 74 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-4)^{2}+(y+3)^{2}=74}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf (x-4)^{2}+\{y-(-3)\}^{2}=({\sqrt{74}})^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (4, -3)Radius = √74 unitsWhich of the following expressions does NOT represent
91 +91 + 91?
O 91(3)
O 91.3
O (91)(3)
0913
Answer:
91.3 and 0913
Step-by-step explanation:
91 + 91 + 91 is an expression that can be simplified into a multiplication problem, because there is a number being added by itself a certain amount of times. So we have to look for a multiplication problems within our answers.
Leading us up to 91(3) and (91)(3), these are both examples of multiplcation.
91.3 would happen if you were adding .3 to 91
And 0913 would happen if you added 91 and 822
Find the measures of the interior angles?
Answer:
well it's says for a its 35° and B is 100° to find x it would be 180-(35+110)=x
Step-by-step explanation:
180-(35+110)=180-145=35. so x=35°
i am confused please help
Answer:
volume = lenght x width x height
v= 12x20x14
v=3,360 in³
simplify 5/9x4 3/5x6 3/11x6/10 and 3 4/5x7 1/2
Answer:
529/55 and 57/2
Step-by-step explanation:
what is equivalent to 2
x
2
−
7
x
−
3
=
0
Answer:
I'm confused with this, I dont understand what you are asking.
Step-by-step explanation:
2 is equivalent with a lot of things,
1+1
3-1
92-90
7×7-47
4÷2
the list goes on...
Simplify sin^2x+sin^2x+tan^2x
Answer:
Step-by-step explanation:
Choose the number (X) that should come next in this series (1 4 9 16 X).
20
23
25
27
Answer:
25
Step-by-step explanation:
[tex]1^2=1\\\\2^2=4\\\\3^2 = 9\\\\4^2=16\\\\\text{So the next number should be}~ 5^2=25[/tex]
The circumference of a circle is 62.8 centimeters. What is the circle's radius?
C=62.8 cm
Use 3.14 for .
centimeters
Hello!
To solve this exercise, we must use the formula below:
[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]
C = 62.8cmπ = 3.14r = ?Knowing these values, let's replace them in the formula to obtain r:
[tex]\mathrm{62.8=2\cdot\ 3.14\cdot r}\\\mathrm{62.8=6.28r}\\\mathrm{6.28r=62.8}\\\\\mathrm{r=\dfrac{62.8}{6.28}}\\\\\boxed{\mathrm{r=10}}[/tex]
So, the radius of this circle is 10cm.
Hope this helps!
Consider the rectangle with width 4 ft and length 18 ft, write a ratio of the length to the width.
Answer: 18:4
Step-by-step explanation:
Ez
Answer:
9 : 2
Step-by-step explanation:
length : Width = 18 : 4
[tex]\sf = \dfrac{18 \ \div \ 2}{4 \ \div \ 2}\\\\=\dfrac{9}{2}[/tex]
= 9 : 2
find the equation of line that is parallel to another line whose equation is 8y+5x-6=0and passes through the point (8,5)
write down the equation of line perpendicular to y=7x/4+9/4 and passes through the origin
today is the deadline please help me
1. The equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).
2. The equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.
1. To find the equation of a line that is parallel to another line with equation 8y+5x-6=0 and passes through the point (8,5), we need to follow some steps.Steps:
First, find the slope of the given line, which can be done by rearranging the given equation into slope-intercept form (y = mx + b).8y+5x-6=0⟹ 8y = -5x + 6⟹ y = (-5/8)x + 3/4So the slope of the given line is -5/8.
Second, since we need to find a line parallel to the given line, the slope of the new line will also be -5/8.
Third, use the slope (-5/8) and the given point (8,5) to find the y-intercept (b) of the new line by using the point-slope form of the equation. y - y₁ = m(x - x₁)y - 5 = (-5/8)(x - 8)y = (-5/8)x + (65/8)
Therefore, the equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).
2. To write down the equation of a line perpendicular to y = 7x/4+9/4 and passes through the origin, we can follow some steps.
Steps:
First, find the slope of the given line. This can be done by rearranging the given equation into slope-intercept form (y = mx + b).y = (7/4)x + 9/4So the slope of the given line is 7/4.
Second, since we need to find a line perpendicular to the given line, the slope of the new line will be the negative reciprocal of the given line's slope.
Third, use the slope (-4/7) and the point (0,0) to find the y-intercept (b) of the new line by using the point-slope form of the equation.y - y₁ = m(x - x₁)y - 0 = (-4/7)(x - 0)y = (-4/7)x
Therefore, the equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.
For more such questions on perpendicular, click on:
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Answer:
8y +5x -80 = 0y = -4/7xStep-by-step explanation:
You want the equations of lines ...
parallel to 8y +5x -6 = 0, through point (8, 5)perpendicular to y = 7/4x +9/4, through the originParallel lineThe equation of a parallel line in general form can be written using the same coefficients, and choosing a constant that makes the equation true for the given point.
8y +5x +c = 0
8(5) +5(8) +c = 0
80 +c = 0
c = -80
The equation of the desired line is 8y +5x -80 = 0.
Perpendicular lineThe given equation is in slope-intercept form, so we can identify the slope as ...
y = mx +b = 7/4x +9/4
m = 7/4
The perpendicular line will have a slope that is the opposite reciprocal of this:
m' = -1/(7/4) = -4/7 . . . . . . slope of perpendicular line
The line through the origin will have a y-intercept of 0, so the equation in slope-intercept form is ...
y = -4/7x
__
Additional comment
The attached graph shows the given lines as dashed lines, and the requested lines as solid lines in the same color. The "must pass through" points are shown.
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A triangle has side lengths of 18 in., 22 in., and 29 in. Is the triangle acute, obtuse, or right?
Acute
Obtuse
Right
None of the above
========================================================
Explanation:
We have a triangle with these side lengths
a = 18b = 22c = 29Computing a^2+b^2 gets us
a^2+b^2 = 18^2+22^2 = 808
Compare this to c^2
c^2 = 29^2 = 841
Because 808 < 841, this means a^2+b^2 < c^2
-------------------
We have three cases:
If a^2+b^2 > c^2, then the triangle is acuteIf a^2+b^2 = c^2, then we have a right triangleIf a^2+b^2 < c^2, then the triangle is obtuseFor more information, check out the converse of the Pythagorean Theorem.
Help please!!! I don't understand
[tex]\left|x-\dfrac 12\right| = 3\dfrac 23\\\\\\\implies \left|x- \dfrac 12 \right| = \dfrac{11}3\\\\\\\implies x-\dfrac 12 = \dfrac{11}3 ~~~~~~~~~ \text{or}~~~~~~~ x - \dfrac 12 = - \dfrac {11}3\\\\\\\implies 2x -1 = \dfrac{22}3 ~~~~~~~~ \text{or}~~~~~~~~2x-1 =-\dfrac{22}3\\[/tex]
[tex]\implies x =\dfrac 12\left(\dfrac{22}3 +1 \right) ~~ \text{or}~~~~~~~~ x = \dfrac 12 \left(1-\dfrac{22}3\right)}\\\\\\\implies x = \dfrac{25}6~~~~~~~~~~~~~~~ \text{or}~~~~~~~~ x=-\dfrac{19}6\\\\\\\implies x = 4\dfrac 16 ~~~~~~~~~~~~~~~ \text{or}~~~~~~~~x = -3\dfrac16[/tex]
The area of a rectangular wall of a barn is 160 square feet. Its length is 12 feet longer than the width. Find the length and width of the wall of the barn.
Answer:
Length: 20 feet
Width: 8 feet
Step-by-step explanation:
20 is 12 feet longer than 8
20 x 8 = 160
A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is represented below using d for the dollars that person raises and w for the miles that person walks. Select all the representations that can be described by the equation d = 2w.
Answer:
B, C, EStep-by-step explanation:
According to coordinates on the graphs and numbers in the tables we have the following relationship:
A) d = 1/2wB) d = 2wC) d = 2wD) d is not proportional with w since 12/6 ≠ 18/10 ≠ 20/12E) d = 2wAs we see B, C and E have same relationship, matching the target.
Step-by-step explanation:
hope it's help you this answer
Need help with math probelm if do 5 stars and brainly points
Step-by-step explanation:
let's first convert feet to inches
4 ft = 48 inches ( width )
6.5 ft = 78 inches ( length )
12.5 ft = 150 inches ( height )
each cube is 1/4 x 1/4 x 1/4
x-axis ( length )
78 ÷ 1/4 = 78 x 4 = 312 cubes
y-axis ( width )
48 x 4 = 192 cubes
z-axis ( height )
150 x 4 = 600 cubes
the total number of cubes fit in the closet is :
312 x 192 x 600 = 35,942,400 cubes
Need help with this geometry question.What is HK?
Answer:
Step-by-step explanation:
use a protractor if you have one or ask for one
J=(7x+13) K=(83-2x) and the sum of the measures of the angles is 141. What is the measure of each angle
Answer:
j=76 and k=65
Step-by-step explanation:
[tex]j + k = 141 \\ 7x + 13 + 83 + - 2x = 141 \\ 96 + 5x = 141 \\ 5x = 141 - 96 \\ 5x = 45 \\ x = \frac{45}{5} \\ x = 9 \\ j = (7 \times 9 + 13) \\ j =76 \\ k = 83 - 2(9) \\ = 83 - 18 \\ = 65[/tex]
Under a dilation, the point (2, 6) is moved to (6, 18).
What is the scale factor of the dilation?
Enter your answer in the box.
Answer quick please !!!
Answer:
3
Step-by-step explanation:
Answer: The correct answer is 3
Step-by-step explanation:
:) it should be correct have a good day!
Urgent need please hurry
can someone help me with this I already answered half of all of them but I need to make sure It's right?
Answer:
C. 56.42
Step-by-step explanation:
56 is a whole number and .42 is 42 hundredths
According to the labor statistics document, which educational level has the highest median
income?
The doctoral degree educational level has the highest median income
What are educational level?Education level refers to the years of formal instruction received and successfully completed.
From research in 2017 for those with the highest levels of educational level (doctoral and professional degrees) income is more than triple those with the lowest level (high school diploma)
Find out more on educational level at: https://brainly.com/question/2987151
Answer: Bachelor's Degree, and Male
Step-by-step explanation:
Select the correct answer.
Function m is the result of a transformation on the parent tangent function.
Answer:
C
Step-by-step explanation:
General equation of a tangent function is: y=atanb(theta-c)+d
Based on the graph, it moved pi/2 to the right.
So, the answer is C.
The result of a transformation on the parent tangent function is g(x) = tan( x - (π / 3 ). The correct option is C.
What is a parent function?A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.
The general equation of a tangent function is represented as below:-
y=atanb(Ф-c)+d
Based on the graph, it moved π/2 to the right. Therefore, the result of a transformation on the parent tangent function is g(x) = tan( x - (π / 3 ). The correct option is C.
To know more about parent function follow
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Z
77°
P
W
X
What is the measure of arc XWZ?
OA
257°
O B. 1039
O C. 206°
O D. 1543
Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a green fabric.
How much fabric does Abdul need in order to cover 8 of these blocks?
Step-by-step explanation:
4cm×2cm×1/2=4cm³
4cm³×8=32cm³
I think the answer is 176
Step-by-step explanation:
please tell me if I'm wrong
Each of 7 students reported the number of movies they saw in the past year. This is what they reported.
13, 8, 6, 6, 18, 11, 4
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
(a) Median:
(b) Mean:
Answer:
A is 6
B is 9.4
Step-by-step explanation:
First you put the numbers in order. then you take the middle number of the data set. This is how you find the median. For the mean you add all of the number in the data set then divide by how many numbers are there
trigonometric equations
2sin(theta) + 3 = 4
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) + 3 = 4[/tex]
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) = 4 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) = 1[/tex]
[tex]\qquad \sf \dashrightarrow \:\sin(x) = \frac{1}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 30 \degree \: \: or \: \: \frac{\pi}{6} \: rad[/tex]
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