Find the equation of a line perpendicular to 3x=-20 -2ythat passes through the point (-6,-8)
Answers
The equation of a line perpendicular to 3x=-20 -2y that passes through the point (-6,-8) is y = (2/3)x -9.
What is the equation of a perpendicular line?
Consider the equation of the line is ax + by + c = 0 and coordinates are (x1, y1), the slope should be − a/b. If one line is perpendicular to this line, the product of slopes should be -1. Let m1 and m2 be the slopes of two lines, and if they are perpendicular to each other, then their product will be -1.
The slope of a perpendicular line is the negative reciprocal of the first line.
Mathematically, that is m1 x m2 = -1.
so first find the slope of the given line, and use that relationship to find the slope of the perpendicular line.
Next use the point-slope formula (y - y1) = m(x - x1) to find the equation of the perpendicular line.
Starting with 3x = -20 - 2y put the equation into standard form.
2y = - 3x - 20
Divide by 2:
y = -3/2x - 10
So the slope of the first line is -3/2. Invert that and multiply by -1 to get the new slope which is 2/3, and use that to find the new equation using the point-slope method with the point (-6, -8):
y - 1 = 2/3(x - 15), distribute 2/3 across the binomial, (x - 15):
y - 1 = (2/3)x - 10, add 1 to both sides:
y = (2/3)x -9, the equation in standard form
Hence, the equation of a line perpendicular to 3x=-20 -2y that passes through the point (-6,-8) is y = (2/3)x -9.
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Related Questions
solve for r a= pi r squared
Answers
HELP I HAVE 3 minutes left
Answers
Answer:
The answer is C
Step-by-step explanation:
it
is
the
answer
C
Anthony is making mashed potatoes. He
needs cup of milk. He wants to make 3
batches. How much milk will he use?
Answers
Answer:
3 cups clearly
Step-by-step explanation:
Answer: He will need one cup of milk per serving, so he needs 3 total
Step-by-step explanation: 1 x 3 = 3
The ratio of basketball players to baseball players at Cypress High School is 4 to 3. If Coach Nelson has 20 basketball players, how many players does he have for basketball and baseball combined?
Answers
Answer:
i think it is 15
Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answers
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°An experiment consists of dealing 7 cards from a standard 52-card deck. What is the probability of being dealt exactly 4 face cards?
Answers
Answer:
The probability that the first card is a heart is 13/52
For the second card it is 12/51 (There are only 51 cards and only 12 of them are in the heart suit.)
For the third card it is 11/50
4th card 10/49
5th card 9/48
6th card 8/47
7th card 7/46
The total probability of all of these events occurring is the product of each individual probability.
So, the answer is (13 * 12 * 11 * 10 * 9 * 8 * 7) / (52 * 51 * 50 * 49 * 48 * 47 * 46)
which equals exactly 33 / 2,572,780 or roughly 1 chance in about 77,963
Step-by-step explanation:
HELP!!!PLS :)
Which point is located at (-5,4
point C
point D
point A
point B
Answers
Answer:
A
Step-by-step explanation:
-5 (go left 5 times first) 4 (go up 4 times)
Answer:
Hey there!
The correct option is A
How ?
-5 represents x' ,which tells us that the respected option is in Left side4 represents y, which tells us that the respective option is upward sideand Option A is at left and upward sidehope it helped you:)
Cole and Maggie play table tennis. Maggie has won 4 more games than Cole. Is it possible for Cole to have won 13 games if the sum of the games Cole and Maggie have won together is 30?
*
1 point
Yes; Cole could have won 13 games because 2x + 4 = 30.
Yes; Cole could have won 13 games because 13 + 4 is less than 30.
No; Cole could not have won 13 games because 2x + 13 ≠ 30.
No; Cole could not have won 13 games because 2x + 4 ≠ 30
Answers
The answer to this Question is A we can use basic knowledge from linear equations to find the answer
What is Linear Equation?
Linear Equation is a equation in which degree of variables is 1 only
Yes the given case is possible only under some conditions that we can define as follows and as given in Linear Equations from Options
together cole and maggie have won 30 games and we are also given that out of those 30 maggie has won 4 games
we should closely see at Linear Equations given in Options.
therefore cole has won 26 games which is more than 13
Hence the answer to the Question is Yes
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floor of a classroom is 38 feet in length and 34 feet in width. A scale drawing of the floor has a length of 19 inches.
Answers
Answer:
38 i think i hope this helps
An orthocenter is the intersection of three
Answers
Answer:
lines
Step-by-step explanation:
Answer:
73929
Step-by-step explanation:
((PLEASE HELP))
What is (7^-8)/(7^-3)^2 simplified and answer using positive exponents
Answers
Answer:
i hope this helps
Step-by-step explanation:
How many solutions does the equation 5x+1=-5x+10 have?
A. 0
B. 1
C. 2
D. Infinite
Answers
ZDAC = ZBAD.
What is the length of CD?
Round to one decimal place.
Answers
Answer:
3.4
Step-by-step explanation:
The angle bisector theorem states that for a triangle that is bisected, the ratio between the two edges in each of the triangles that form are proportional to each other.
For this triangle, the bisector splits the triangle into ΔABD and ΔACD. The edges of ΔABD are BD and AB, while the edges of ΔACD are CD and AC. Therefore, we can say that BD/AB = CD/AC . Note that both parts of line that is bisected (BC) are on top, while the other edge sides are on the bottom. *
BD/AB = CD/AC
2.6/4.9 = ? / 6.5
multiply both sides by 6.5 to isolate the ?
2.6 * 6.5 / 4.9 = ? ≈ 3.4
* this can also be rearranged so that AB/BD = AC/CD, but it is vital to ensure that either both sides that are part of the larger triangle are on top or both parts of the bisected line are on top
Please help if you can thanks
Answers
The probability that:
(a) 47 or more products fail is approximately 0.9525.(b) 58 or fewer products fail is approximately 0.5250.(c) 5 or more products succeed is approximately 0.7151.(d) 10 products succeed is approximately 0.3522.How to find probability?First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).
So,
np = 700.83 = 58.1,
n(1-p) = 700.17 = 11.9.
Both quantities are larger than 5, so use the normal approximation.
Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.
(a) within 2 years 47 or more fall:
This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.
So the probability that 47 or more products fail is approximately 0.9525.
(b) within 2 years 58 or fewer fail:
This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.
So the probability that 58 or fewer products fail is approximately 0.5250.
(c) within 2 years 15 or more succeed:
Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.
The probability that a standard normal variable is greater than -0.567 is 0.7151.
So the probability that 15 or more products succeed is approximately 0.7151.
(d) within 2 years fewer than 10 succeed:
This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.
The probability that a standard normal variable is less than 0.377 is 0.6478.
However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.
So the probability that fewer than 10 products succeed is approximately 0.3522.
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Which table represents a linear function
Answers
Answer:
First table
Step-by-step explanation:
3. Use Sydney's Minimum Payment Summary to answer the statements that follow.
Sydney's Minimum Payment Summary
Card Card Card Total
Month A(18% B[20% (24% Monthly
APR) APR) APR) Payment
1 $32.19 $43.43 $50.28 $125.90
2 $30.83 $41.79 $48.98 $121.60
3
$38.67 $46.14 $113.46
4 $26.31 $36.12 $43.98 $106.41
$28.65
Sydney has been paying the minimum balance on her three credit cards each month. She has outlined the minimum payments for the next four months. She decides to snowball her debt after Month 1 according to the interest rate
instead of paying the minimum payment.
Part 1 (2 points): Explain, using complete sentences, how the total monthly payment will change for each month
Part 2 (2 points): Explain, using complete sentences, how the payments for each credit card will change for each month. (4 points)
Answers
Explanation:
Part 1
The total monthly payment will remain level at the amount currently scheduled for Month 1. The revised totals are shown at the bottom of the attachment.
When Card C is fully paid, the same total payment will continue to be used until all card debts are paid.
__
Part 2
The excess over the sum of minimum payments will be applied to Card C (24% rate). The minimum payment will continue to be made for the other credit cards. The revised Card C payments are shown at the bottom of the attachment.
When Card C is fully paid, the excess over the sum of minimum payments will be applied to Card B (20% rate).
_____
Comment on the question
You can't think too much about the given numbers. The minimum payment amounts given here decrease way faster than you would expect. For example, the $1.36 decrease in the minimum payment for Card A from Month 1 to Month 2 corresponds to a balance decrease of more than $90 when the interest rate is 1.5% per month. That is not possible if the payment is only $32.19.
Apparently, the question is not about the actual numbers. Rather, it is about the strategy of debt reduction. Some (bogus) numbers are given here just so you have something to think about.
The approach described in the problem statement has been given the name "debt avalanche" to distinguish the approach from Dave Ramsey's "debt snowball." The "debt snowball" approach pays off the minimum balance first, not the highest interest rate. It also includes some extra cash above the sum of minimum balances. ($100 is suggested; more is better.) The psychological effect of the quick win is considered to be more important than the extra cost of carrying the higher-rate debt for a longer period.
Suppose that you borrow $13,000 for 5 years at 7% toward the purchase of a car.
The monthly payment is $
The total interest for the loan is $
Answers
The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.
To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.
So,
Interest = $13,000 x 0.07 x 5
Interest = $4,550
It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.
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Please help me with this.
Answers
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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5x + 2y = 19 -x + 2y = 1
Answers
The given expressions are,
\(\begin{gathered} 5x+2y=19\ldots\text{.}\mathrm{}(1) \\ -x+2y=1\ldots\text{.}\mathrm{}(2) \end{gathered}\)From the second equation, we have,
\(x=2y-1\ldots\text{.}\mathrm{}(3)\)Substituting this value in the first equation, we have,
\(\begin{gathered} 5(2y-1)+2y=19 \\ 10y-5+2y=19 \\ 12y=19+5 \\ 12y=24 \\ y=\frac{24}{12}=2 \end{gathered}\)Now, substituting this value of y in equation 3, we have,
\(x=2\times2-1=4-1=3\)Thus, the solution is x = 3 and y = 2
3x(4 - 8) + 23 = 9x - 26
Answers
Answer:
x = 2.33
Step-by-step explanation:
3x(4 - 8) + 23 = 9x - 26
12x - 24x + 23 = 9x - 26
-12x + 23 = 9x - 26
-23 -23
---------------------------
-12x = 9x - 49
-9x -9x
----------------------------
-21x = -49
/-21 /-21
----------------------------
x = 2.333.....
Answer:
\(x=2.33\)
Step-by-step explanation:
\(3x\left(4-8\right)+23=9x-26\)
\(-12x+23=9x-26\)
\(-12x+23-23=9x-26-23\)
\(-12x=9x-49\)
\(-12x-9x=9x-49-9x\)
\(-21x=-49\)
\(\frac{-21x}{-21}=\frac{-49}{-21}\)
\(x=2.33\)
What’s the length of kL?
Answers
Applying the intersecting secants theorem, the length of segment KL is approximately, 45.8.
What is the Intersecting Secants Theorem?According to the intersecting secants theorem, if two lines from a point outside a circle intersect the circle, then the product of the length of one line segment and its portion outside the circle is equal to the product of the length of the other line segment and its portion outside the circle.
Using the theorem, we have:
MN * MO = ML * MK
Substitute:
21 * 48 = 22 * KL
1,008 = 22KL
1,008/22 = KL
KL = 45.8 (nearest tenth)
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At the last minute, two families (a total of 11 people) cancel because of illness. Does this effect
which company is the better deal? Why or why not?
Answers
The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.
Why is this scenario so?If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.
However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.
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answer the question for me
Answers
Answer: 1, 2, and 4.
Step-by-step explanation: Each must be wider than the angle than a "L" has.
In a direct variation, y=9 when x=3. Write a direct variation equation that shows the relationship between x and y.
Answers
In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x
What do you mean by direct variation?
Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.
Given,
In a direct variation, y=9 when x=3.
Formulate an equation based on the conditions stated: y=kx
We put the value of the y and x in this equation
9=k*3
Subtract the coefficient of the variable from both sides of the equation
k= 3
We can write the equation of the function by putting the value of k: y=3x
Hence the correct answer is y=3x
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95, 86, 78, 71, 65, 60 _____
Answers
Answer:
hello there here is your answer
51 is your next term.
Step-by-step explanation:
you are subtracting 9 from each number
95-9= 86
86-9=78
78-9=65
65-9=60
60-9=51
so on and so on
Hope this help
have a good day
bye
Step-by-step explanation:
\(here \: is \: your \: solution: - \\ \\ given \: number \: = 95.86.78.71.65.60 \\ \\ = > 95 - 9 = 86 \\ \\ = > 86 - 8 = 78 \\ \\ = > 78 - 7 = 71 \\ \\ = > 71 - 6 = 65 \\ \\ = > 65 - 5 = 60 \\ \\ \: now \: follow \: the \: sequence \: \\ \\ subtract \: 4 \: from \: 60 \\ \\ = > 60 - 4 = 56 \\ \\ = > \: \: 56 \: \:( ANSWER✓✓✓)\)
Please look at picture for question.
Answers
Answer:
\(\frac{-1}{5}m -\frac{4}{5}\)
Step-by-step explanation:
Combine the like terms (2/5) and (-3/5) m
This will give you -1/5
place the remainder of the equation.
if you like my answer, please mark me brainliest !! thanks !! <3
Find the next term of the sequence.
16, 9, 2, -5,
Answers
Answer: The next term is -12.
Step-by-step explanation:
16,9,2,-5
Looking at these numbers to go from 16 to 9 you will add -7 or subtract 7 . The same way you subtract 7 from 9 to get 2 and subtract 7 from 2 to get -5.
So to determine the next term subtract 7 from -7 or add -7.
-5 - 7 = -12
0r -5 + -7 = -12
\( 👋 \) Hello ! ☺️
Step-by-step explanation:
•Find the next term of the sequence.
Let us find the interval between two successive terms:
16 - 9= 7
-7 is therefore the common différence of this sequence. (d)
Find the next term :
-5 + (-7)= -12
\(\boxed{\color{gold}{N = -12}} \)
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NEED HELP
|w| + 19 < 14
Answers
the solution is: \(w < -5\) . Since all real numbers are either less than or greater than \(-5\) , the solution set for this inequality is "All reals".
What is the parameter for the real number?To solve for w in \(w + 19 < 14\) , we need to isolate w on one side of the inequality.
This means that any value of w that is less than \(-5\) would make the inequality true.
For example, \(w = -6\) is a solution because \(-6 + 19 < 14.\) Likewise, any value of w that is greater than or equal to -5 would make the inequality false. For example, \(w = -5\) is not a solution because \(-5 + 19 = 14\) .
Subtracting 19 from both sides of the inequality, we get:
\(w + 19 - 19 < 14 - 19\)
\(w < -5\)
Therefore, the solution is: \(w < -5\) . Since all real numbers are either less than or greater than \(-5\) , the solution set for this inequality is "All reals".
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Here are six number cards.
-5 -2 -3 2 0-1
Arrange the cards into three pars with the same total
Answers
Answer:
-5 and 2
-5 and 2-3 and 0
-5 and 2-3 and 0-2 and - 1
(When you add them you'll get - 3)
Hope this helps!
To determine the distance across the Grand Canyon in Arizona, a 1 mile base line, call it AB or side c, is established along the southern rim of the canyon. Sightings are then made from points A & B to a point C across the canyon. Find the distance across the canyon from A to C if ∠BAC is 118.1 degrees and ∠ABC = 58.1 degrees.
Answers
a/sin(A) = b/sin(B) = c/sin(C)
We know the length of side AB, which is the base line, so we can use it as side c in the formula. We also know the measures of angles A and B, so we can substitute them into the formula:
AB/sin(B) = AC/sin(A)
Substituting the values:
1 mile/sin(58.1 degrees) = AC/sin(118.1 degrees)
Simplifying:
AC = (1 mile x sin(118.1 degrees)) / sin(58.1 degrees)
AC = 1.186 miles
Therefore, the distance across the canyon from A to C is approximately 1.186 miles. I believe that is the answer you were looking for… I apologize if it’s not.