The value of x that makes lines c and d parallel when cut by transversal p is 99 (option d).
To determine the value of x, we need to analyze the relationship between the given lines and transversal.
Recall that when two lines are cut by a transversal, the corresponding angles are congruent if the lines are parallel.
Since lines c and d are cut by transversal p, we need to find the corresponding angles that should be congruent.
Let's assume that angle 12 corresponds to angle 18. In order for lines c and d to be parallel, angle 12 must be congruent to angle 18.
However, angle 12 and angle 18 do not have equal values (12 ≠ 18). Therefore, we need to explore other possible values of x.
Let's try x = 81. With this value, angle 12 corresponds to angle 81. But again, angle 81 is not congruent to angle 18 (81 ≠ 18). Thus, x = 81 does not make lines c and d parallel.
Finally, let's try x = 99. With this value, angle 12 corresponds to angle 99. If angle 99 is congruent to angle 18, then lines c and d will be parallel.
Since 99 = 99, we can conclude that when x = 99, lines c and d are parallel when cut by transversal p.
Therefore, the value of x that makes lines c and d parallel when cut by transversal p is 99. Thus, the correct option is d.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
B. Lenghts of the diagonals
Step-by-step explanation:
God please this one too I keep getting different answers
Answer:
The domain of this function is all real numbers.
Which order pair? Explain.
A function can't have more than one value for an argument. Therefore, it's either (1,1) or (1,3), but since there's not (1,3) among the possible answers, it must be (1,1).
Question 5 of 8
Which choice is the solution set of the inequality below?
OA. x< 4.1
OB. X<-4.1
OC. X> 4.1
O D. x≤ 4.1
OE. -4.1
OF. x<-4.1 or x> 4.1
x < 4.1, as it represents the solution set for the given inequality. A.
The solution set of the inequality x < 4.1 can be determined by examining the given answer choices:
OA. x < 4.1:
This choice represents all values of x that are strictly less than 4.1.
It is a valid solution set for the given inequality.
OB. x < -4.1:
This choice represents all values of x that are strictly less than -4.1.
It is not a valid solution set for the given inequality.
OC. x > 4.1:
This choice represents all values of x that are strictly greater than 4.1.
It is not a valid solution set for the given inequality.
OD. x ≤ 4.1:
This choice represents all values of x that are less than or equal to 4.1.
It is not a valid solution set for the given inequality because the inequality is strict (x < 4.1), not inclusive.
OE. -4.1 < x < 4.1:
This choice represents all values of x that are strictly between -4.1 and 4.1.
It is not a valid solution set for the given inequality because it does not include the possibility of x being less than -4.1 or greater than 4.1.
OF. x < -4.1 or x > 4.1:
This choice represents two separate solution sets: one for x < -4.1 and another for x > 4.1.
It is not a valid solution set for the given inequality because it combines two separate possibilities.
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help please i need help
The number line inequality that represents x > -7 is: Option D
How to identify the Inequality number line?In number line inequalities we know that:
A closed circle indicates "greater than or equal to" or "less than or equal to" .
Meanwhile an open circle indicates "greater than" or "less than".
A closed circle pointing to the right indicates "greater than or equal to" while a closed circle pointing to the left indicates "less than or equal to,"
Similarly:
An open circle pointing to the right indicates "greater than" while An open circle pointing to the left indicates "less than".
Thus , the correct number line that shows x > -7 is: Option D
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Part A: solve the equation---
5+x-12=2x-7
x-7=2x-7
x-7+7=2x-7+7
x=2x
x-2x=2x-2x
-x=0
--- ---
-1 -1
x=0
--
-1
x=0
but i have to use the values x= -4,0,5. can some one please help me? i'm am so confused!!!
Answer:
Step-by-step explanation:
I understand your confusion. Let's go through the steps together to solve the equation correctly:
Given equation: 5 + x - 12 = 2x - 7
Combine like terms on the left side and the right side of the equation:
x - 7 = 2x - 7
Now, let's isolate the variable x. Subtract x from both sides of the equation:
x - x - 7 = 2x - x - 7
Simplifying:
-7 = x - 7
Next, add 7 to both sides of the equation:
-7 + 7 = x - 7 + 7
Simplifying:
0 = x
Therefore, the solution to the equation is x = 0.
If you need to use the values x = -4, 0, and 5, you can substitute each value into the original equation to check if it satisfies the equation. Let's do that:
For x = -4:
5 + (-4) - 12 = 2(-4) - 7
-11 = -15 - 7
-11 = -22
The equation is not satisfied for x = -4.
For x = 0:
5 + 0 - 12 = 2(0) - 7
-7 = -7
The equation is satisfied for x = 0.
For x = 5:
5 + 5 - 12 = 2(5) - 7
-2 = 3
The equation is not satisfied for x = 5.
Therefore, the correct solution to the equation is x = 0. The values x = -4 and x = 5 do not satisfy the equation.
in this chart, × is the length of a persons forearm in centimeters and y is the persons height in centimeters. the question is if someones forearm (x) is 24.5 cm, how tall would they be? how do i find this? and how would i make a linear regression graph? thanks
The height of a person whose length of forearm is 24.5 cm is equal to 163.38 centimeters.
How to construct and plot the data in a scatter plot?In this exercise, we would plot the length of forearm on the x-axis of a scatter plot while height would be plotted on the y-axis of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit on the scatter plot;
y = 3.01x + 89.63
Based on the equation of the line of best fit above, the height of a person whose length of forearm is 24.5 cm can be determined as follows;
y = 3.01x + 89.63
y = 3.01(24.5) + 89.63
y = 163.375 ≈ 163.38 centimeters.
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PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
Whats the answer to this?
Answer: [tex]x=200[/tex]
Step-by-step explanation:
[tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]
[tex]\frac{1}{5}x-\frac{2}{3}(15)=30[/tex]
[tex]\frac{1}{5}x-10=30[/tex]
[tex]\frac{1}{5}x=40[/tex]
[tex]x=\frac{40}{\frac{1}{5}}[/tex]
[tex]x=40*\frac{5}{1}[/tex]
[tex]x=200[/tex]
What is the solution for t in the equation?
2/3t-1/5t=2
Answer:
Step-by-step explanation:
To solve the equation (2/3)t - (1/5)t = 2 for t, we need to combine like terms and isolate the variable t. Here are the steps:
(2/3)t - (1/5)t = 2
To combine the fractions, we need to find a common denominator for 3 and 5, which is 15.
[(2/3)(5/5)]t - [(1/5)(3/3)]t = 2
(10/15)t - (3/15)t = 2
[(10 - 3)/15]t = 2
(7/15)t = 2
To isolate t, we can multiply both sides of the equation by the reciprocal of (7/15), which is (15/7).
[(7/15)t][(15/7)] = 2[(15/7)]
t = (2 * 15) / 7
t = 30/7
Therefore, the solution for t in the equation (2/3)t - (1/5)t = 2 is t = 30/7 or t ≈ 4.286.
What is the slope of the Line y=-3x+2
Answer:
m = -3
Step-by-step explanation:
The slope-intercept form is y = mx + b
m = the slope
b = y-intercept
The equation is y = -3x + 2
m = -3
So, the slope of the line is -3
Answer:
The slope is -3
Step-by-step explanation:
You were given the easiest form of linear equation, the slope-intercept form, because these are the ones that directly tell you the slope and the y-intercept.
y=mx+b, Where m is the slope and b is the y-intercept.
The lines shown below are parallel. if the green line has a slope of 3 what is the slope of the red line?
Answer:
3
Step-by-step explanation:
parallel lines have the same gradient
Find the measure of the numbered angles
Look at picture for reference
Show work when possible
The measure of the numbered angles in the rhombus is determined as angle 1 = 90⁰, angle 2 = 57⁰, angle 3 = 45⁰, and angle 4 = 45⁰.
What is the measure of the numbered angles?The measure of the numbered angles is calculated by applying the following formula as follows;
Rhombus has equal sides and equal angles.
angle 2 = angle 57⁰ (alternate angles are equal)
angle 1 = 90⁰ (diagonals of rhombus intersects each other at 90⁰)
angle 3 = angle 4 (base angles of Isosceles triangle )
angle 3 = angle 4 = ¹/₂ x 90⁰
angle 3 = angle 4 = 45⁰
Thus, the measure of the numbered angles in the rhombus is determined as angle 1 = 90⁰, angle 2 = 57⁰, angle 3 = 45⁰, and angle 4 = 45⁰.
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Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? -$1.08
Answer:
$6.84
Step-by-step explanation:
This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.
Original balance: -$16.75Deposit: $23.59New balance: -$16.75 + $23.59 = $6.8471)
Mia buys 4 calculators and 2 pens for $20.60
Heidi buys 5 calculators and 3 pens for $26.90.
Write down a pair of simultaneous equations and solve
cost of a pen.
Answer:
Therefore, the cost of a pen is $2.30.
Step-by-step explanation:
Let's assign variables to represent the cost of a calculator and the cost of a pen.
Let c represent the cost of a calculator.
Let p represent the cost of a pen.
Based on the given information, we can form the following pair of simultaneous equations:
Equation 1: 4c + 2p = 20.60 (Mia buys 4 calculators and 2 pens for $20.60)
Equation 2: 5c + 3p = 26.90 (Heidi buys 5 calculators and 3 pens for $26.90)
To solve for the cost of a pen, we'll eliminate the variable c by multiplying Equation 1 by 5 and Equation 2 by 4. Then we'll subtract Equation 1 from Equation 2:
5 * (4c + 2p) = 5 * 20.60
4 * (5c + 3p) = 4 * 26.90
20c + 10p = 103.00
20c + 12p = 107.60
Subtracting Equation 1 from Equation 2:
(20c + 12p) - (20c + 10p) = 107.60 - 103.00
20c - 20c + 12p - 10p = 4.60
2p = 4.60
p = 4.60 / 2
p = 2.30
Therefore, the cost of a pen is $2.30.
Answer:
Let's assume that the cost of a calculator is x and the cost of a pen is y. Then we can write the following pair of equations:
4x + 2y = 20.60 (equation 1)
5x + 3y = 26.90 (equation 2)
To solve for the cost of a pen, we need to eliminate x from the equations. We can do this by multiplying equation 1 by 5 and equation 2 by -4, and then adding them:
(5)(4x + 2y = 20.60) becomes 20x + 10y = 103 (equation 3)
(-4)(5x + 3y = 26.90) becomes -20x - 12y = -107.60 (equation 4)
Adding Equation 3 and Equation 4 gives:
-2y = -4.60
Divide both sides by -2:
y = 2.30
Therefore, the cost of a pen is $2.30.
Step-by-step explanation:
MARK ME BRAINLIST
On January 1, 2022, ABC Company was established (trading firm engaged in buying and selling of laptop computers ), with an initial owner’s equity of P1,000,000. The company has an inventory 10 laptops each costing P50,000. In addition, it purchased a delivery equipment amounting to P250,000 (five years depreciation, straight line). The rest of the assets were in the form of cash.
At the end of 2022, operations showed that 5 laptops were sold at P50,000 each, 50% cash, 50% to be received in March of P2022. Aside from depreciation, a total of P50,000 (paid in cash) was incurred as operating expenses. Taxes are 50% of operating income to be paid in the same year of operations, if there are any. (Tax will not be deducted if there is an operating loss).
Construct the following :
a.) Balance sheet as of January 1, 2022 and December 31, 2022.
b.) Income Statement for the year ended Dec. 31, 2022 .
c.) Statement of Cash Flows for the year ended Dec. 31, 2022.
a) Balance Sheet as of January 1, 2022: Total Assets: P1,750,000
b) Income Statement for the year ended December 31, 2022: Net Income: Operating Income - Tax Expense
c) Statement of Cash Flows for the year ended December 31, 2022: None (Assuming no financing activities are mentioned in the information)
a) Balance Sheet as of January 1, 2022:
Assets:
Cash: P1,000,000
Inventory (10 laptops * P50,000): P500,000
Delivery Equipment (less depreciation): P250,000
Total Assets: P1,750,000
Liabilities:
None (Assuming no liabilities are mentioned in the given information)
Owner's Equity: P1,750,000
Balance Sheet as of December 31, 2022:
Assets:
Cash: (Assuming no cash transactions are mentioned in the information)
Accounts Receivable (50% of P50,000): P25,000
Inventory (5 laptops * P50,000): P250,000
Delivery Equipment (less depreciation): P200,000
Total Assets: P475,000
Liabilities:
Accounts Payable (50% of P50,000): P25,000
Income Tax Payable: (50% of Operating Income)
Total Liabilities: P25,000 + Income Tax Payable
Owner's Equity: (Initial Owner's Equity + Net Income)
b) Income Statement for the year ended December 31, 2022:
Sales Revenue: 5 laptops * P50,000 = P250,000
Operating Expenses: P50,000
Operating Income: Sales Revenue - Operating Expenses
Tax Expense: (50% of Operating Income)
Net Income: Operating Income - Tax Expense
c) Statement of Cash Flows for the year ended December 31, 2022:
Cash Flows from Operating Activities:
Cash received from sales: (50% of P250,000)
Cash paid for operating expenses: P50,000
Tax payments: (50% of Tax Expense)
Cash Flows from Investing Activities:
Purchase of delivery equipment: P250,000
Cash Flows from Financing Activities:
None (Assuming no financing activities are mentioned in the information)
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The hip width x of adult females is normally distributed with a mean of 37.6 cm and a standard deviation of 4.36 cm. The maximum width of an aircraft seat that will accommodate 98% of all adult women is about: (Give your answer to one decimal places if necessary.)
Answer:
Step-by-step explanation:
To find the maximum width of an aircraft seat that will accommodate 98% of all adult women, we need to determine the corresponding z-score for the 98th percentile of the normal distribution.
First, we find the z-score corresponding to the 98th percentile using a standard normal distribution table or calculator. The z-score for the 98th percentile is approximately 2.05.
Next, we use the z-score formula to find the corresponding value in the original distribution:
z = (x - μ) / σ
Solving for x (the maximum width of the aircraft seat):
x = z * σ + μ
Substituting the values given:
x = 2.05 * 4.36 + 37.6
x ≈ 45.98
Therefore, the maximum width of an aircraft seat that will accommodate 98% of all adult women is approximately 46 cm (rounded to one decimal place).
The cost of 2.5 litres of petrol in the United Kingdom is £1.70. The cost of 1 US gallon of petrol in the United States is $3.30. £1 = $1.42 1 litre = 0.26 US gallons Is petrol cheaper in the United Kingdom or United States?
The cost of 2.5 liters of petrol in the United Kingdom is £1.70. The cost of 1 US gallon of petrol in the United States is $3.30. £1 = $1.42 and 1 liter = 0.26 US gallons. So, is petrol cheaper in the United Kingdom or the United States.
Let's find out the cost of 2.5 liters of petrol in the United States dollars;Cost of 1 litre of petrol in the United Kingdom = £1.70/2.5 = £0.68Cost of 1 liter of petrol in the United States = $3.30/3.78 (as 1 US gallon = 3.78 liters) = $0.87We know that £1 = $1.42£0.68 = $0.68 x 1.42 = $0.96So, the cost of 1 liter of petrol in the United Kingdom is $0.96 (approximately)The cost of 1 liter of petrol in the United States is $0.87 (approximately)
Therefore, petrol is cheaper in the United States than the United Kingdom.
So, the answer is that petrol is cheaper in the United States than in the United Kingdom.
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PLEASE HELP
4920+56+pi
Mia makes $15.50 per hour. For the Memorial holiday she worked 6 hours and 30 minutes on Friday. On Saturday, she worked for 1 hour and 10 minutes less than she did on Friday and on Monday she worked 4 hours and 10 minutes. How much money did Mia make for the Memorial holiday?
Answer:
$248.00
Step-by-step explanation:
Hours worked on Friday: 6 hr and 30 min = 6.5 hr
Money earned on Friday: $15.5/hr x 6.5 hr = $100.75
Hours worked on Saturday: 6.5 hr - 1.167 hr = 5.33 *10 min = 10/60 = 0.1667 hr
Money earned on Saturday: $15.50 x 5.33 hr = $82.67
Hours worked on Monday: 4.167 hr
Money earned on Monday: $15.50/hr x 4.167 hr = $64.58
Total money made: 100.75 + 82.67 + 64.58 = $248.00
Indefinite Integral for the equation
The antiderivative of ∫[[tex]x^\frac{1}{11}[/tex] - 7sin(x)]dx is:
[tex](11/12)x^\frac{12}{11} - 7cos(x) + C[/tex]
What is the indefinite integral?The indefinite integral, denoted as ∫f(x)dx, represents the antiderivative of a function f(x). It involves finding a function whose derivative is equal to the given function f(x).
Let's evaluate the indefinite integral of [tex]\int [x^\frac{1}{11} - 7sin(x)]dx[/tex]
To find the antiderivative of [tex]x^\frac{1}{11}[/tex], we add 1 to the exponent and divide by the new exponent:
[tex]\int x^\frac{1}{11} dx = (11/12)x^\frac{12}{11} + C_1[/tex], where C₁ is the constant of integration.
∫7sin(x)dx:
To find the antiderivative of 7sin(x), we use the trigonometric identity that the antiderivative of sin(x) is -cos(x):
∫7sin(x)dx = -7cos(x) + C₂, where C₂ is another constant of integration.
Combining the two results, the indefinite integral of [tex]\int[x^\frac{1}{11} - 7sin(x)]dx[/tex] is:
[tex](11/12)x^\frac{12}{11} - 7cos(x) + C[/tex],
where C = C₁ + C₂ represents the constant of integration.
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The values in the table represent a function.
x
-6
7
4
3
-5
f(x)
8
3
-5
-2
12
Use the drop-down menus to complete the
statements.
The ordered pair given in the first row of the table can
be written using function notation as
(3) is
f(x)=-5 when x is
Done
The ordered pair given in the first row of the table can be written using function notation as (x, f(x)) = (-6, 8).
f(x) = -5 when x is 4.
In function notation, we represent the input value as 'x' and the corresponding output value as 'f(x)'.
Looking at the first row of the table, we see that when x is -6, the corresponding value of f(x) is 8.
Therefore, we can write this ordered pair as (-6, 8) in function notation.
Similarly, we can determine that f(x) = -5 when x is 4 by examining the second row of the table.
The value of f(x) is -5 when x is 4, so we can express it as f(4) = -5.
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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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Which of the following is the graph of y=-(x-2)³-5?
-5-4-3-2-1
-5-4-3
S
-2+
-3
? 4
-4
-5
997
-6
-7
-8.
-9
& co
-10
1 2 3 45 x
1
2345
X
Answer:
Step-by-step explanation:
I cannot see the graphs.
which of the following are like radicals? Check all
of the boxes that apply.
3x√√xy
-12x√√xy
-2x√√xj
x-√4x2²
-x√x²y
2√xy
Answer:
the first 2
Step-by-step explanation:
let me know if it is wrong
Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13) in slope-intercept form as follows.
Step 1: m = StartFraction 13 minus 25 Over negative 4 minus (negative 7) EndFraction = StartFraction negative 12 Over 3 EndFraction = negative 4. Step 2: y = negative 4 x + b. 25 = negative 4 (negative 7) + b. 25 = 28 + b. 25 minus 28 = 28 + b minus 28. b = negative 3. Step 3: y = negative 3 x minus 4
What was Brooke’s error?
She found the incorrect slope in step 1.
She mixed up the x- and y-coordinates when she plugged in the point in step 2.
She found the incorrect y-intercept in step 2.
She mixed up the slope and y-intercept when she wrote the equation in step 3
Answer:
she mixed up the slope and y- intercept in step 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
she correctly calculated the slope as m = - 4 and the y- intercept b = - 3
thus equation she should have is
y = - 4x - 3
Brooke's error was that she found the incorrect slope in step 1.
The slope formula is: m = (y₂ - y₁) / (x₂ - x₁)
Using the given points: m = (13 - 25) / (-4 - (-7)) m = -12 / 3 m = -4
So, the slope is -4, not -12/3 as Brooke calculated in step 1.
The correct equation for the line passing through the points (-7, 25) and (-4, 13) is: y = -4x - 3 (as found in step 3)
One more question thank you
Answer:
Step-by-step explanation:
n=30
r=12
Plug into formula
you get:
1.7 in²
The overnight temperature drops from 11°C to -2°C. B how many degrees has the temperature dropped?
Answer: I'm pretty sure it's 13.
Step-by-step explanation: Hope this helped!!
Cara used the order of operations to evaluate the expression below. StartFraction 4 (7 minus 13) over 3 EndFraction + (negative 4) squared minus 2 (6 minus 2) = StartFraction 28 minus 13 over 3 EndFraction + (negative 4) squared minus 2 (4) = StartFraction 15 over 3 EndFraction + 16 minus 18 = 5 + 16 minus 8 = 13. What was Cara’s first error?
Cara's first error occurred when she simplified the expression (negative 4) squared.
According to the order of operations (PEMDAS/BODMAS), exponentiation should be performed before any other operations. However, Cara incorrectly squared only the negative sign and not the entire number.
As a result, she obtained a value of positive 4 instead of 16.
To correct the error, Cara should have squared the entire value of -4. Squaring a negative number yields a positive result. Thus, (-4) squared is equal to 16. By failing to correctly apply this rule, Cara ended up with an incorrect value in her expression.
The correct evaluation of the expression should have been:
StartFraction 4 (7 minus 13) over 3 EndFraction + (negative 4) squared minus 2 (6 minus 2) = StartFraction 4 (-6) over 3 EndFraction + 16 minus 2 (4) = -8 + 16 - 8 = 0.
Therefore, Cara's first error was in incorrectly squaring only the negative sign and obtaining a value of 4 instead of 16.
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The slope of line BD is
y
2b
2a-c
E(a, b)
A(0, 0)
G
B(2a, 2b)
D(c, 0)
F
LL
C(2c, 0)
What is the equation of BD, simplified?
y - y₁ = m(x − x₁)
(x-c)
= √2²²= c)
2b
2a -
y -0 =
0 y = | D x - (₂22bcc)
b
C
1
2a -
0 y =
0 y = | 2²0 |x-12 2²0-c
2a
2a C
0 y = ( 2b )x - ( 2bc)
(2a-c) (2a - 2c)
Answer:
(c) y = 2b/(2a -c)x -2bc/(2a -c)
Step-by-step explanation:
Given the equation of line BD in point-slope form you want the simplified equation.
y -0 = (2b/(2a -c))(x -c)
SimplifiedThe equation is simplified by using the distributive property to eliminate parentheses.
[tex]y-0=\dfrac{2b}{2a-c}(x -c)\\\\\\y=\dfrac{2b}{2a-c}x-\dfrac{2b}{2a-c}c\\\\\\\boxed{y=\dfrac{2b}{2a-c}x-\dfrac{2bc}{2a-c}}\qquad\text{matches choice C}[/tex]
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