Answers
Answer:
(5,6)
Step-by-step explanation:
First, count how many units are between b and c, that is 10, half of that is 5 units because they want the mid point so we divided by 2 but now you are going to count 5 units from point b so the y value isn't isn't 5. So from b, count 5 units upwards which lands at 6 so that is the y value. Now you move from their to the right to touch the line (if you understand what i mean) and that would fall at the value of 5. so x is equal 5. Coordinate: (x,y)=(5,6). Hopefully that helped.
The midpoint of the line BC is (5,6).
What is midpoint of a line?The midpoint of a line segment is the point equidistant from its endpoints. It is calculated as the average of the x-coordinates and y-coordinates of the endpoints.
Midpoints are crucial in geometry for construction, line segment division, and coordinate geometry. They play roles in physics, engineering, and bisection problems, contributing to spatial reasoning and problem-solving.
The midpoint M of a line segment with endpoints B(x₁, y₁) and C(x₂, y₂) is calculated as:
M = (x₁ + x₂)/2, (y₁ + y₂)/2.
So, for points B(2, 1) and C(8, 11) the midpoint is:
M(2 + 8)2, (1 + 11)/2
= 10/2, 12/2
= (5, 6).
The midpoint of the line BC is (5,6).
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Related Questions
Find the area of the rhombus.
8 m
8 m
8 m
8 m
Answers
The area of the rhombus with diagonals of 8m each is 32 square meters.
The area of a rhombus can be calculated using the formula:
Area = (diagonal1 diagonal2) / 2
Given that the diagonals of the rhombus are 8m and 8m, we can plug these values into the formula:
Area = (8 8) / 2
Area = 64 / 2
Area = 32 square meters
To explain the calculation step by step:
1. Identify the diagonals: In a rhombus, the diagonals are perpendicular bisectors of each other and they bisect each other at right angles. Here, both diagonals are 8m each.
2. Plug into the formula: Substitute the lengths of the diagonals into the formula for the area of a rhombus.
3. Calculate the product: Multiply the lengths of the diagonals together.
4. Divide by 2: Since the formula for the area of a rhombus involves dividing the product of the diagonals by 2, perform this division to find the final answer.
5. Final answer: The area of the rhombus is 32 square meters.
So, the area of the rhombus with diagonals of 8m each is 32 square meters.
Complete question:
Find the area of the rhombus.
8 m
8 m
8 m
8 m
At a large university, 15% of students are business majors and 20% are communications majors. If two students are selected at random, what is the probability the first is a communications major and the second is a business major?
Express your answer in decimal form using two decimal places.
Answers
Answer:
Probability the first is a communications major and the second is a business major = 0.03
Step-by-step explanation:
let the total number of students be 100
Event A= Business Majors = 15%
Event B = Communication Majors = 20%
P(A) = [tex]\frac{15}{100}[/tex] ⇒ P(A) = 0.15
P(B) = [tex]\frac{20}{100}[/tex] ⇒ P(B) = 0.2
P( A and B) = P(A) × P(B)
= 0.15 × 0.2
= 0.03
what is the degree of x^6+4x-3
Answers
Answer:
6 hopes this helps
Step-by-step explanation:
The degree of the polynomial [tex]x^{6} + 4x - 3[/tex] is 6 .
What is degree of a polynomial ?The degree of a polynomial is the highest power of the variable in a polynomial expression. For any given polynomial function, the degree refers to the highest power of the dependent variable in the given polynomial.
How to find the degree of the given polynomial function ?For the given polynomial function, f(x) = [tex]x^{6} + 4x - 3[/tex] , we have the dependent variable of the function as x .
Thus, degree of the given polynomial, refers to the highest power of x in the polynomial.
As the highest power of x is 6, thus the degree of the polynomial is also 6.
Therefore, the degree of the polynomial [tex]x^{6} + 4x - 3[/tex] is 6 .
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The perimeter of the rectangle when x = 3 is 22. Which equation can be used to represent the perimeter of the rectangle, P(x)?
P(x) = 2(f ∙ g)(x)
P(x) = (f ∙ g)(x)
P(x) = 2(f + g)(x)
P(x) = (f + g)(x)
Answers
Answer:
P(x) = 2(f+g)(x)
Step-by-step explanation:
perimeter of the rectangle = 2( length + width )
The figures are similar. Find x.
Answers
15/x = 9/4
9x = 60
x = 60/9 = 20/3 = 6.6666
Answer:
20/3
Step-by-step explanation:
9/4=15/x
cross multiply and get:
9x=15x4
9x=60
divide both sides by 9 so
x=60/9 which when reduced is equal to 20/3
Use the expression below to write an equivalent expression in standard form, and collect like terms.
Show all of the steps in your process.
(1.) 5x + 5 ( x-3y ) + 1/2 (4x - 6y)
Answers
The expression 5x + 5 ( x-3y ) + 1/2 (4x - 6y) simplifies to 12x - 18y by distributing the multiplication over addition, combining like terms, and checking the answer for reasonableness.
Explanation:To simplify the algebraic expression 5x + 5 ( x-3y ) + ½ (4x - 6y), let's start by distributing the multiplication over addition for each term inside the parentheses:
Multiply 5 by each term inside the first set of parentheses: 5 × x and 5 × (-3y), which gives us 5x - 15y.
Multiply ½ by each term inside the second set of parentheses: ½ × 4x and ½ × (-6y), resulting in 2x - 3y.
Now, combine the like terms:
The x-terms: 5x + 5x + 2x = 12x.
The y-terms: -15y - 3y = -18y.
So, the expression in standard form is 12x - 18y.
Lastly, we should check the answer to see if it is reasonable:
No like terms are left to combine.
The coefficients are summed up correctly.
The expression is simplified as much as possible.
Is the answer is b, please help me
Answers
Answer:
A) 47
B) 65
C) 01
Step-by-step explanation:
A stem and Leaf is a unique way of representing data, in which every data value is split into a “stem” and “a leaf” . The “Stem” is the first Digit of the number and The “Leaf” is the second digit of the data value.
As we seen in the Key provided to us at the foot of the page, 6│3 represent 63,also
6│0 3 4 represents : 60,63,64
0│1 5 8 represents : 01,05,08
Using this rule we expands the data given to us and answer the questions given to us.
A) Number of people represented in data
0│1 1 2 2 3 4 4 4 4 5 8 = 01 01 02 02 03 04 04 04 04 05 08 = 11 Entries
In the same way , we count the other data and see that
Total number of data values are : 11+8+8+9+4+5+2= 47
B) The range of the Data: It the Difference of the largest Data value and the Lowest Data Value
Largest Data Value : 66
Smallest Data Value : 01
Range = 66-01 = 65
C) The mode : It the Data value which is repeated the most:
01 : 4 times
10 : 3 times
31 : 3 times
32 : 3 times
Hence the mode is 01
if line p is (2x+40)°and line q is (3x-85) what is the value of x
Answers
Solve for x: (2x + 40)° = (3x - 85)°. The solution is x = 125.
To find the value of x, you can set the expressions for the angles equal to each other since the two lines are parallel and corresponding angles are equal.
The given angles are:
- Line p: [tex]\(2x + 40\)[/tex] degrees
- Line q: [tex]\(3x - 85\)[/tex] degrees
Set them equal to each other and solve for x:
[tex]\[ 2x + 40 = 3x - 85 \][/tex]
Combine like terms:
[tex]\[ 40 + 85 = 3x - 2x \][/tex]
[tex]\[ 125 = x \][/tex]
So, the value of x is 125 degrees.
The complete question is here:
if line p is (2x+40)°and line q is (3x-85) what is the value of x
The value of ( x ) is [tex]\( 125^\circ \)[/tex].
To find the value of ( x ), we can use the properties of parallel lines cut by a transversal. When two parallel lines are cut by a transversal, alternate interior angles are congruent.
Given:
- Angle [tex]\( 2x + 40^\circ \) and angle \( 3x - 85^\circ \)[/tex] are alternate interior angles.
So, we can set up an equation:
[tex]\[ 2x + 40^\circ = 3x - 85^\circ \][/tex]
Let's solve for ( x ):
[tex]\[ 2x - 3x = -85^\circ - 40^\circ \][/tex]
[tex]\[ -x = -125^\circ \][/tex]
To isolate ( x ), we divide both sides by -1:
[tex]\[ x = \frac{-125^\circ}{-1} \][/tex]
[tex]\[ x = 125^\circ \][/tex]
So, the value of ( x ) is [tex]\( 125^\circ \)[/tex].
complete question given below:
In the diagram, parallel lines P and Q are cut by transversal R.
(2x + 40°
(3x - 85)°
What is the value of x?
choose yes or no to indicate which of the equations can be used to describe the pattern in the table (am i correct??????)
Answers
the only equation that seems to describe the pattern is:
[tex]\( b = a - 5 \)[/tex]. Therefore, option C is correct
To determine whether the given equations can describe the pattern in the table, we need to look at the values in the table and see if they satisfy the equations. However, the provided image is not completely clear, and it seems like part of the table or the values might be missing.
From what is visible in the image, it seems we have a table with two columns labeled 'a' and 'b', with 'a' taking on values from 5 to 9 and 'b' from 0 to 4. We need to check if the equations given describe the relationship between 'a' and 'b' according to the table.
The equations given are:
1. [tex]\( b + a = 5 \)[/tex]
2. [tex]\( b = a + 5 \)[/tex]
3. [tex]\( b = a - 5 \)[/tex]
4. [tex]\( a = b - 5 \)[/tex]
Without the complete table, we can't perform a full analysis, but we can explain how you would generally approach this:
- For equation 1 [tex](\( b + a = 5 \))[/tex], check if the sum of each pair of 'a' and 'b' equals 5.
- For equation 2 [tex](\( b = a + 5 \))[/tex], check if 'b' is always 5 more than 'a'.
- For equation 3 [tex](\( b = a - 5 \))[/tex], check if 'b' is always 'a' minus 5.
- For equation 4 [tex](\( a = b - 5 \))[/tex], check if 'a' is always 'b' minus 5.
Given the values for 'a' and 'b' in the table:
a | 5 | 6 | 7 | 8 | 9
b | 0 | 1 | 2 | 3 | 4
We can analyze each equation to see if it describes the pattern in the table.
1. [tex]\( b + a = 5 \)[/tex]
Let's check if the sum of 'a' and 'b' equals 5 for each pair:
- For [tex]\( a = 5 \), \( b = 0 \): \( 5 + 0 = 5 \)[/tex] (True)
- For [tex]\( a = 6 \), \( b = 1 \): \( 6 + 1 = 7 \)[/tex] (False)
- Since it is false for [tex]\( a = 6 \), \( b = 1 \)[/tex], we can already conclude that this equation does not describe the pattern.
2. [tex]\( b = a + 5 \)[/tex]
Let's check if 'b' equals 'a' plus 5:
- For [tex]\( a = 5 \), \( b = 0 \): \( 5 + 5 = 10 \)[/tex] (False)
- Since it is false for [tex]\( a = 5 \), \( b = 0 \)[/tex], this equation does not describe the pattern.
3. [tex]\( b = a - 5 \)[/tex]
Let's check if 'b' equals 'a' minus 5:
- For [tex]\( a = 5 \), \( b = 0 \): \( 5 - 5 = 0 \)[/tex] (True)
- For [tex]\( a = 6 \), \( b = 1 \): \( 6 - 5 = 1 \)[/tex] (True)
- Continuing this pattern, this equation seems to be true for all given pairs of 'a' and 'b'.
4. [tex]\( a = b - 5 \)[/tex]
This is not likely to be true since subtracting 5 from 'b' would result in negative numbers, which are not present in the 'a' values.
From the analysis, the only equation that seems to describe the pattern is:
[tex]\( b = a - 5 \)[/tex]
Let's confirm that this equation is true for all pairs of 'a' and 'b'.
The equation [tex]\( b = a - 5 \)[/tex] holds true for all pairs of 'a' and 'b' values in the table. Therefore, this equation correctly describes the pattern in the table.
Which integers are opposites
14 and -4
17 and -17
33 and -23
15 and -51
Answers
17 and -17. The opposite of a number is usually the negative or positive version of that #
Justin and David were comparing text messages. For every 8 messages Justin sent, David sent 12 messages. Together Justin and David have sent 450 messages last month. How many messages did each person send?
Answers
Answer:
The number of messages sent by Justin was [tex]180\ messages[/tex]
The number of messages sent by David was [tex]270\ messages[/tex]
Step-by-step explanation:
Let
x-----> number of messages sent by Justin
y----> number of messages sent by David
we know that
[tex]\frac{x}{y}=\frac{8}{12}[/tex]
[tex]x=\frac{8}{12}y[/tex] ----> equation A
[tex]x+y=450[/tex] -----> equation B
substitute equation A in equation B and solve for y
[tex]\frac{8}{12}y+y=450[/tex]
[tex]\frac{20}{12}y=450[/tex]
[tex]y=450*12/20=270\ messages[/tex]
Find the value of x
[tex]x=\frac{8}{12}(270)=180\ messages[/tex]
therefore
The number of messages sent by Justin was [tex]180\ messages[/tex]
The number of messages sent by David was [tex]270\ messages[/tex]
Triangle ABC is a right triangle. Which equation could be used to determine the length of side AC?
Answers
The answer is d
[tex]x = \sqrt{{20}^{2}-{7}^{2}} [/tex]
The expression x = √(20² - 7²) can be used to determine the side length of side AC option (d) is correct.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have:
Triangle ABC is a right triangle with sides shown in the figure.
From the Pythagoras theorem:
20² = 7² + x²
x² = 20² - 7²
x = √(20² - 7²)
Thus, the expression x = √(20² - 7²) can be used to determine the side length of side AC option (d) is correct.
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What is the value of x?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
cm
A scalene triangle G E F. Side E F is labeled as x. Side E G is labeled as 13 centimeters. Angle E is labeled as 40 degrees. Angle G is labeled as 87 degrees.
Answers
Answer:
16.3
Step-by-step explanation:
took k12 test
Answer:
16.3
x = 16.3cm
Step-by-step explanation:
I just took the test, and I got 100%!!!
what is the degree of the monimal -2
Answers
Answer:
The degree is zero
Step-by-step explanation:
we know that
The degree of a constant monomial is always zero
so
In this problem we have
-2
The number -2 represent a constant monomial
therefore
The degree is zero
Simplify 6P2.
A. 30
B. 15
C. 12
D. 720
could i also have an explanation so i can understand better?
Answers
The answer would be A
The solution of ⁶P₂ would be,
⇒ ⁶P₂ = 30
We have to given that,
An expression to solve,
⇒ ⁶P₂
Now, By definition of permutation, we get;
⇒ ⁶P₂
⇒ 6! / (6 - 2)!
⇒ 6! / 4!
⇒ 6 × 5
⇒ 30
Therefore, The solution of ⁶P₂ would be,
⇒ ⁶P₂ = 30
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What is 3 In3-In9 expressed as a single natural logarithim
Answers
[tex] 3 \ln 3 - \ln 9 = 3 \ln 3 - \ln 3 ^2 = 3 \ln 3 - 2 \ln 3 = \ln 3[/tex]
Answer: [tex]\ln 3[/tex]
Answer:
ln 3
Step-by-step explanation:
Using the rules of logarithms
• log [tex]x^{n}[/tex] ⇔ n logx
• log x - log y = log ([tex]\frac{x}{y}[/tex] )
Given
3 ln3 - ln9, then
= ln 3³ - ln 9
= ln 27 - ln 9
= ln ([tex]\frac{27}{9}[/tex] ) = ln 3
In the figure, the combined measurement of angles A, E, and K is 127° and angle G measures 90°. What is the measurement of angle B?
A.40°
B.45°
C.53°
D.90°
Answers
Answer:
first things first which one is angle B. if would be easier if you labeled them .
Step-by-step explanation:
but any ways see if the image attached can help out
Answer:
b
Step-by-step explanation:
8/ 2(2+2)
Trying to prove something
Answers
the correct answer would be 16 you add (2+2) first and the do 8/2 then multiple 4 x 4 and you get 16
[tex]\bf 8\div 2(2+2)\implies 8\div 2(\stackrel{\downarrow }{4})\implies \stackrel{\downarrow }{4}(4)\implies 16[/tex]
recall PEMDAS
Parentheses first off
MD multiplication and division from left-to-right.
Which of the following equations describes a relationship of inverse variation between x and y
Answers
Answer:
I think its D
Step-by-step explanation:
Forgive me if im wrong.
a certain project can be completed by 28 men in 90 days. the numbers of men needed varies inversely to the time needed to complete the project. if the contractor wants to complete the project in 72 days how many men does he have to have working?
A. 30 men
B. 270 men
C. 35 men
D. 28 men
Answers
ANSWER
C. 35 men
EXPLANATION
Let m represent the number of men needed and d represent the number of days.
From the question,the number of men needed varies inversely to the time needed to complete the project.
We can write the inverse variation equation.
[tex]m = \frac{k}{d} [/tex]
where k is the constant of variation.
When m=28, d =90.
We substitute these values into the variation equation to determine the value of k.
[tex]28 = \frac{k}{90} [/tex]
[tex]k = 90 \times 28[/tex]
[tex]k = 252[/tex]
Now the equation becomes:
[tex]m= \frac{2520}{d} [/tex]
When d=72,
[tex]m = \frac{2520}{72} [/tex]
[tex]m = 35[/tex]
Therefore he needs to have 35 men working.
3.) The cube of 1-1/3 is.
A) 1-1/9 B) 1-1/27
© 8/27
D) -8/27
Answers
Answer:
3*3*3=27
The answer is B 1 1/27
Step-by-step explanation:
As a formula:
volume = s3
where:
s is the length of any edge of the cube.
Read as "s to the power 3"
- 5/8 x + 10 for x = -8
answer anyone?
evaluate the expression
Answers
Answer:
5
Step-by-step explanation:
Evaluate (5 x)/8 + 10 where x = -8:
(5 x)/8 + 10 = 10 - 8×5/8
5/8 (-8) = (5 (-8))/8:
(-8×5)/8 + 10
(-8)/8 = (8 (-1))/8 = -1:
5×-1 + 10
10 - 5 = 5:
Answer: 5
How many solutions does the following system of equations have?
y = x - 2
y = - x + 2
one solution
no solutions
two solutions
infinitely many solutions
Answers
The following system of equations has only one solution, which is (2,0), because you can use the method of substitution to find the value of x and if it has multiple solutions.
y = x - 2
y = - x + 2
x - 2 = - x + 2
2x = 4
x = 2 (substituting this back into the equation)
y = 2 - 2
y = 0
PLEASE HELP!! MATH Will mark Brainlist
Answers
Answer:
The area of triangle D'E'F' is four times the area of triangle DEF.
NEED HELP ASAP
What is the value of x? Please explain.
Answers
Answer:
x=5
Step-by-step explanation:
We can solve this using the Pythagorean theorem
[tex]13^2-12^2=x^2\\\\x=\sqrt{169-144} \\\\x=\sqrt{25} \\\\x=5[/tex]
It should be 5. You would need to use the Pythagorean theorem, a^2 + b^2 = c^2 to find the length of the missing side. So it would be x^2 + 144=169, which leads to 169-144 = 25. Then you would need to get the square root of 25, which is 5. I hope that helps.
Sally has a discount card that reduces the price of her grocery bill in a certain grocery store
by 5%. If c represents the cost of Sally's groceries, which expression represents Sally's
grocery bill?
A. 0.050
B. 0.950
C. C-0.05
D. C+0.95
Answers
0.95c
100% minus 5% is 95%, or 0.95. This means Sally only has to pay 0.95 times the grocery bill, or c, which represents 0.95c.
A geometric sequence is shown below:
(blank)a0, -11, 22, (blank)a1, 88, -176.
A) What is the common ratio for this geometric sequence?
(blank)a2
B) What are the missing terms in the geometric sequence shown above?
Answers
Answer:
i)
-2
ii)
a0 = 5.5
a1 = -44
Step-by-step explanation:
i)
Given a geometric sequence, the common ratio is the ratio between any two adjacent values. In our case we have the following geometric sequence;
a0, -11, 22, a1, 88, -176
To find the common ratio we can simply divide 22 by -11 or divide -176 by 88;
common ratio = 22/(-11) = -2
ii)
To find a0, we use the common ratio;
(-11)/a0 = -2
a0 = (-11)/(-2)
a0 = 5.5
We do the same for a1;
88/a1 = -2
a1 = 88/(-2)
a1 = -44
Tabitha transferred a balance of $7800 to a new credit card at the beginning of the year. The card offered an introductory APR of 5.2% for the first 5 months and a standard APR of 33.6% thereafter. If the card compounds interest monthly, what will Tabitha's balance be at the end of the year? Assume that Tabitha will make no payments or new purchases during the year, and ignore any possible late payment fees.)
Answers
Answer:
The answer is $9669.65 ≈ $9670.
Step-by-step explanation:
The formula to be used is :
[tex]A=P(1+r)^{nt}[/tex]
For first part :
p = 7800
r = [tex]5.2/100/12=0.00433[/tex]
t = 5
[tex]A=7800(1.00433)^{5}[/tex]
A = $7970.04
For second part:
p = 7970.04
r = [tex]33.6/100/12=0.028[/tex]
t = 7
[tex]A=7970.04(1.028)^{7}[/tex]
A = $9669.65
So, the answer is $9669.65 ≈ $9670.
HELP ASAP! WILL GIVE BRAINLIEST IF YOU GIVE A REASONABLE ANSWER
Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges.
Part A: Write an equation to represent each company's total charges for cleaning a certain number of windows. For both equations (one for Company A and one for Company B), define the variable used.
Part B: Which company would charge less for cleaning 8 windows? Justify your answer.
Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows?
Answers
Answer:
Step-by-step explanation:
Part A: Company A charges $6 for a window and $12 for a service clean. If you add that up it would be 6 + 12 =18 so company A would be making $18 per customer. Company B charges $15 + $5 for a whole cleaning which would make them $20 per customer. That is better then $18 so business B would be making more money.
Part B: For cleaning 8 windows company B would charge less because 8 x 5 = $40 for all the windows and company A would be charging $6 for a window which is more so 8 x 6 = 48. Company B charges less.
Part C: Company B charges 5 dollars for thier services on windows as Company A charges 6. You would be saving a dollar by buying at company B.
Which is the better buy?
A. 12-quart container of disinfectant for $44.04
B. 2-gallon container of disinfectant for $23.04
Answers
Answer: B
Step-by-step explanation:
There are 4 quarts in a gallon. 12 / 4 = 3.
A contains 3 gallons. B contains 2 gallons. If you divide the price by the number of gallons, b will be cheaper.
Answer:
B.
Step-by-step explanation:
A quart is approximately 1/4 of a gallon. Therefore 8 quarts is 2 gallons. 8/12 is 2/3
2/3 of $44.04 is $29.36. Therefore A is more expensive and B is the better buy.