The coordinate of the point is (6,-2)
How to determine the coordinate of the point?The given parameters are:
A = (1,8)
B = (7,-4)
The location of the point (i.e 5/6) means that the ratio is:
m :n = 5 : (6 - 5)
m : n = 5 : 1
The coordinate of the point is then calculated as:
[tex](x,y) = \frac{1}{m + n}* (mx_2 + nx_1,my_2 + ny_1)[/tex]
So, we have:
[tex](x,y) = \frac{1}{5 + 1}* (5 * 7 + 1 * 1 , 5 * -4 + 1 * 8)[/tex]
Evaluate
[tex](x,y) = \frac{1}{6}* (36 , -12)[/tex]
Evaluate the product
(x,y) = (6,-2)
Hence, the coordinate of the point is (6,-2)
Read more abut line segment ratio at:
https://brainly.com/question/12959377
#SPJ1
In the given figure if AOB = 132°, COD = 141°, if measure of BOD equals x°, then x is
Answer:
BOD = 189 °
Step-by-step explanation:
that is the answer above
Graph the equations to find the solution(s) to the system.
y=x+3y=13(x+5)(x−1)
Use the Line tool to graph the line.
Use the Parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.
By graphing both equations, we see that the solutions of the system of equations are (1.05, 4.05) and (-4.97, - 1.97)
How to solve the system of equations?Here we have the system of equations:
y = x + 3
y = 13*(x + 5)*(x - 1).
To solve this system graphically, we need to graph both equations and see where the curves intercept.
The graph of the two equations can be seen below.
There are two solutions, one is (1.05, 4.05) and the other is (-4.97, - 1.97)
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Which equation represents a line that passes through (5’1) and has a slope of 1/2?
Answer:
third one passes through the slope .
Answer:
Step-by-step explanation:
y - 1 = 1/2(x - 5)
y - 1 = 1/2x - 5/2
y - 2/2 = 1/2x - 5/2
y = 1/2x - 3/2
Option 3
A grocery store sells a bag of 6 oranges for $3.60. If Jeriel spent $2.40 on oranges, how many did he buy?
Answer:
he bought 4 oranges
because you need to divide
The length of a rectangle is four feet more than twice the width of the rectangle. The area of the rectangle is 240 square feet. What, in feet, are the length and width of the rectangle
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The width of the rectangle is 10ft , while the length of the rectangle is 24ft.
What is a rectangle?A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
Let the width of the rectangle be represented by x.
The length of the rectangle is (2x+4), therefore, the area is,
Area = x(2x+4)
240 ft² = 2x² + 4x
2x² + 4x - 240 = 0
x² + 2x - 120 = 0
x = -12, 10
Since the width can not be negative, the width of the rectangle is 10, while the length of the rectangle is 24.
Learn more about Rectangle:
https://brainly.com/question/15019502
#SPJ1
The equation of a circle is given below:
x squared minus 4 x plus y squared minus 6 y minus 7 equals 0
Identify the center and radius of the circle.
Group of answer choices
Center: left parenthesis 2 comma 3 right parenthesis
Radius: 20
Center: left parenthesis 4 comma minus 6 right parenthesis
Radius: 2 square root of 5
Center: left parenthesis negative 4 comma 6 right parenthesis
Radius: 20
Center: left parenthesis 2 comma 3 right parenthesis
Radius: 2 square root of 5
Given:
The equation of the circle is
We need to determine the center and radius of the circle.
Center:
The general form of the equation of the circle is
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation to determine the center.
The given equation can be written as,
Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
Radius:
Let us compare the general form of the equation of the circle with the given equation to determine the radius.
Hence, the given equation can be written as,
Comparing the two equation, we get;
Thus, the radius of the circle is 8
A translation maps A(1,2) onto A'(-1,3). What are the coordinates of the image of the origin under the same translation?
Using translation concepts, it is found that the coordinates of the image of the origin under the same translation are given by:
3. (-2,1).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
A translation maps A(1,2) onto A'(-1,3), hence the rule is given by:
(x,y) -> (x - 2, y + 1).
Then the image of the origin (0,0) is given by:
(0,0) -> (0 - 2, 0 + 1) = (-2,1)
Which means that option 3 is correct.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Using a straightedge and compass the ancient Greeks were able to construct many geometric objects
Step-by-step explanation:
A department has five employees with five jobs to be performed. the time in hours each man will take to perform each jobs is given in the effectiveness matrix .
9.) List three things vertical and horizontal lines have in common.
Answer:
Horizontal lines have a slope of zero, and run parallel to the x axis. Vertical lines have a undefined slope, and run parallel to the y axis. The equation for a horizontal line equals y=c, and the equation for a vertical line equals x=c. If a horizontal line crosses a vertical line the two lines would be perpendicular to one another.
Step-by-step explanation:
Use this:
What is a Horizontal Line?A Horizontal Line is a line that goes straight from left to right (or right to left) parallel to the x-axis of the coordinate plane. All of the points on the line will have the same y-coordinates.
What is a Vertical Line?A Vertical Line is a line that goes straight up and down Parallel to the y-axis of the coordinate plane. All of the points on the line will have the same x-coordinates.
Commonality:Determine the value of X
AB is the mid segment of triangle LMN. Determine the value of X
Answer:
B. 4Step-by-step explanation:
Since ,AB is the mid segment of triangle LMN
Then
[tex]\Longleftrightarrow AB=\frac{MN}{2}[/tex]
[tex]\Longleftrightarrow x+8=\frac{5x+4}{2}[/tex]
[tex]\Longleftrightarrow 2\times(x+8)=5x+4[/tex]
[tex]\Longleftrightarrow 2x+16=5x+4[/tex]
[tex]\Longleftrightarrow 16-4=5x-2x[/tex]
[tex]\Longleftrightarrow 3x=12[/tex]
[tex]\Longleftrightarrow x=\frac{12}{3}=4[/tex]
part 3 to the please help question sorry im asking so many questions
Answer:
the answer would be 6,600ft
Step-by-step explanation:
I hope this helps!!
According to the line of best fit, about how many words would a person remember after being distracted by 7 text messages? 4 5 6 7
Using the line of best fit, it is found that a person would remember 5 words after being distracted by 7 text messages.
What does the line of best fit states?Researching the problem on the internet, it is found that it states that the number of words a person remembers after being distracted by x text messages is given by a linear function.
Looking at the line, it is found that when x = 7, N(x) = 5, hence a person would remember 5 words after being distracted by 7 text messages.
More can be learned about line of best fit at https://brainly.com/question/17261411
#SPJ4
Which points in a scatterplot or outliners select each correct answer PLEASE HELP!
Answer:
F and D
Step-by-step explanation:
there 2 out of the other lead
The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower. which function has the greater slope and what does it indicate? the broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower. the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.
The function that has a greater slope will be B. The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
What is a linear function?It should be noted that a linear function simply means a function whose graph is a straight line.
From the information given, the slope will be:
= (y2 - y1(/(x2 - x1)
= (3.6 - 3)/(3 - 2.5)
= 1.2
The slope for broccoli is 1.2
The slope of the cauli flower will be:
= (3.20 - 2.75)/(3.20 - 2.75)
= 1
Therefore, the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
Learn more about linear functions on:
brainly.com/question/4025726
#SPJ1
Answer:
B
Step-by-step explanation:
right on 2022 edg
Select the correct answer from each drop-down menu. What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequalities? y ≥ 1 x ≥ 1 y ≤ 4 x ≤ 6 The polygon obtained by graphing the system of inequalities is a . The area of the polygon bounded by the inequalities is square units.
If 7 is added to the product of 7 and 3 what is the answer
Answer:
28
Step-by-step explanation:
[tex]7+7\times 3 = 7(1+3)= 7 \times 4 = 28[/tex]
Answer:
28
Step-by-step explanation:
When we find the product of 2 or more numbers, we multiply them.
so
product of 7 and 3 = 7 x 3 = 21
7 + 21 = 28
Hope this helps. I attempted to make it as simple as possible.
- profparis
Factorise 2x^2 + x - 6
[tex] \rm \: {2x}^{2} + x - 6[/tex]
[tex] \rm \: {2x}^{2} + 4x - 3x - 6[/tex]
[tex] \rm \: {2x} \times (x + 2)- 3x \times (x + 2)[/tex]
[tex] \rm \: (x + 2) \times (2x - 3)[/tex]
Find the volume of the pyramid
Step-by-step Explanation:
the volume of a pyramid is:
volume = (1/3) • base_area • height
(area = length • width)
(area) • (height) = (volume)³
Example:
area = 12cm² (12 cm squared)
height = 4cm
12 • 4 = 48cm³ (48 cm cubed)
Answer:
area: 6 • 8 = 48(1/2) = 24cm²
height: 12
volume: 24 • 12 = 288cm³(1/3) = 96cm³
Part E
Use the table showing Manuel's and Gretchen's data to determine the mean, median, standard deviation, and
interquartile range for each data set. Use this information to complete the second table. Use the graphing tool to
determine the value of standard deviation.
The mean, median, standard deviation, and interquartile range for each data set is given below.
What is the definition of Interquartile Range (IQR)?When arranged from lowest to highest, the IQR represents the central 50% of values.
Find the median (middle value) of the lower and higher half of the data to get the interquartile range (IQR).
These are the quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The difference between Q3 and Q1 is the IQR.
What are the measures of central tendency for Manuels Data?Using the statistical tool, the following were arrived at:
Standard Deviation = 3.13961Mean = 8Median = 8IQR = Q3-Q1 = 10 - 6 = 4What are the measures of central tendency for Grethcen's Data?Using the statistical tool, the following were arrived at:
Standard Deviation = 4.68737.Mean = 9.6Median = 9IQR = IQR = Q3-Q1 = 12 - 7 = 5.See the respective Histograms attached.
Learn more about mean at:
https://brainly.com/question/1136789
#SPJ1
Please help, its urgent. (Question Below)
The highest common factor of the numbers 210 and 308 is 4.
What is the highest common factor?The highest factor of the two numbers which divides both the numbers is called as greatest common factor or HCF.
The highest common factor will be calculated by finding the factors of the two numbers. The factors of the two numbers are as follows:-
308 = 2 x 2 x 7 x 11
210 = 2 x 2 x 3 x 17
We can see that the 2 x 2 = 4 is the highest factor which is common between the two numbers 210 and 308. So 4 is the HCF which can divide both the numbers 210 and 308.
Therefore the highest common factor of the numbers 210 and 308 is 4.
To know more about HCF follow
https://brainly.com/question/219464
#SPJ1
Which statement below best describes whether or not the triangles are similar and
why?
A. ∆XXXXXX ~ ∆TTTTTT by AA similarity.
B. ∆XXXXXX ~ ∆TTTTTT by ASA similarity.
C. ∆XXXXXX ~ ∆TTTTTT by SSS similarity.
D. There is not enough information to determine similarity.
Wendy had 35 coins in pennies and nickels.She had $1.03.3Which system of equations could be used to determine the number of coins she has?
Wendy had 35 coins in pennies and nickels.She had $1.03.3Which system of equations could be used to determine the number of coins she has?
A..01p +.05n = 35 B. 1p +5n = 1.03
p+ n =1.03 p + n = 35
C .01p + .05 n = 1.03 D. .05p + .01n = 1.03
p + n = 35 p + n = 35
Answer: c. p+n=35, 0.01p+ 0.05n = 1.03
Step-by-step explanation: p= number of pennies, n = number of nickels. Given the total number of coins is 35, we have the equation p+n = 35.
She has total of $1.03. The equation for that would be 0.01p + 0.05n = 1.03
Solve both the equations to get the answer.
Please help :)))))))))))))
Answer:
\frac{9}{20} (or 9/20, if this doesn't show up the right way in my answer.)
Step-by-step explanation:
Fist what we'll do here is divide 1000 by 450. 1000÷450=2\frac{2}{9} (2/9, if this doesn't show up the right way either).
Then, we'll apply the inverse formula. In case you've forgotten, the inverse of a number is what you have to multiply a number by to get 1. The inverse of 2/9 (too lazy to put it in that form anymore) is 0.45, or 9/20.
If that doesn't work, I might be interpreting this incorrectly.
Here.
Answer:
0.05, or 1/20
Step-by-step explanation:
So, we have the fraction. we can simplify it to 20/9, making the numerator 20. As previously stated, the inverse of a number is what you have to multiply a number by to get 1. So, 1÷20=0.05
Let me know which one works!
Warmest regards,
Sanjana
Professional 6th grader and quantum physics lover
Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.
A table listing the first few steps in deriving the quadratic formula
In which step did Tran first make an error?
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Solving the polynomial using completing the square:
2x² - 4x - 3 = 0
First divide through by 2:
x² - 2x - 3/2 = 0
add 3/2 to both sides:
x² - 2x - 3/2 + 3/2 = 0 + 3/2
x² - 2x = 3/2
add the square of half the coefficient x to both sides:
x² - 2x + 1 = 3/2 + 1
(x - 1)² = 2.5
taking square root:
x - 1 = ±√2.5
x = 1 ± √2.5
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Answer: Step 3
Step-by-step explanation: this is the right answer on the edge, hope this helps!
What is the exact value of X
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
Find the value of (8 × 10³)²
Answer:
64 × [tex]10^{6}[/tex]
Step-by-step explanation:
(8 × 10³)² = (8 × 10³)(8 × 10³)
= 8 × 10³ × 8 × 10³
= 64 × [tex]10^{6}[/tex]
Answer:
64000000Step-by-step explanation:
Find the value of (8 × 10³)²
(8 × 10³)² =
(8 × 1000)² =
8000² =
64000000
Which of the following is most likely the next step in the series?
Answer:
A
Step-by-step explanation:
has more arrows coming out
the reason it's not D is because it is going in a red-blue pattern not red-red
hope that helps :)
Answer:
A
Step-by-step explanation:
red blue red ??? and 1 arrow, 3 arrows, 5 arrows so next is blue 7 arrows
Expand.
Your answer should be a polynomial in standard form. WILL GIVE BRAINLIEST AND BIG POINTS
Answer:
-q^2-q+72
Step-by-step explanation:
We can use the FOIL (First Outer Inner Last) method for this. First, multiply 9*8 (72). Then, multiply 9*-q(-9q). After that, multiply q*8 (8q). Finally, multiply q*-q(-q^2). Arrange the different terms:
-q^2-9q+8q+72
Finally, combine like terms:
-q^2-q+72
Hope this helps!
Help me please !!!!!!!!!
Answer:
A
Step-by-step explanation:
The solution matrices shown are the result of reducing the augmented coefficient matrix to "reduced row-echelon form". Many calculators and spreadsheets have functions specifically for that purpose.
The attachment shows the result of a TI-84 work-alike calculator's reduction of the coefficient matrix. It matches the first choice.
__
Additional comment
When the equations are written in the form shown here, with the variables in the same order, and the constant on the right side of the equal sign, the augmented matrix is simply the matrix of the numbers. It is shown as the argument of the RREF function in the attachment.
The left-right order of the variables on the left side of the equal sign matches the top-down order of the solution values in the rightmost column of the reduced matrix. That is, ...
a = 2, b = -2, c = 0.
Given the right triangle, evaluate: sin 0.
Answer: B. 5/13
This is the same as writing [tex]\frac{5}{13}[/tex]
==========================================================
Reason:
We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.
a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse
[tex]a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\[/tex]
The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.
Now we can compute sine of theta
[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\[/tex]
This points us to choice B as the final answer.
----------------
Extra Info (optional)
5/12 is the value of tan(theta) since it's opposite/adjacent12/5 is the value of cot(theta), the reciprocal of tangent12/13 is the value of cos(theta), because cos = adjacent/hypotenuse