The cost of one hotdog based on the given situation is $5
The correct answer option is Option C
How to find the cost of one hotdog?let
Cost of hotdogs = hCost of bottle water = wFamily A:
3h + 5w = 20
Family B:
6h + 3w = 33
Solve the two equations simultaneously:
3h + 5w = 20
6h + 3w = 33
Multiply (1) by 2
6h + 10w = 40
6h + 3w = 33
Substract the equations to eliminate h
10w - 3w = 40 - 33
7w = 7
divide both sides by 7
w = 7/7
w = 1
Substitute w = 1 into
3h + 5w = 20
3h + 5(1) = 20
3h + 5 = 20
3h = 20 - 5
3h = 15
divide both sides by 3
h = 15/3
h = 5
So therefore, the cost of one hotdog and one bottle water is $5 and $1 respectively.
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Answer: the answer is 5 dollars
Step-by-step explanation:
In ΔLMN, \overline{LN} LN is extended through point N to point O, \text{m}\angle MNO (5x+2)^{\circ}m∠MNO(5x+2)∘,\text{m}\angle NLM = (x+10)^{\circ}m∠NLM=(x+10) ∘,and \text{m}\angle LMN = (x+16)^{\circ}m∠LMN=(x+16)∘. What is the value of x?x?
Using the exterior angle theorem, the value of x in the triangle is: x = 8.
What is the Exterior Angle Theorem?The exterior angle theorem states that the measure of the angle formed outside a triangle when a side is extended through one of the points of the triangle is equal to the sum of the remote interior angles of the triangle.
Triangle LMN is shown in the diagram attached below, where:
The measure of angle MNO = (5x + 2)°
The measure of angle NLM = (x + 10)°
The measure of angle LMN = (x + 16)°
Therefore:
Measure of angle MNO = measure of angle NLM + measure of angle LMN [based on the exterior angle theorem]
Substitute
(5x + 2)° = (x + 10)° + (x + 16)°
Solve for x
5x + 2 = x + 10 + x + 16
Combine like terms
5x + 2 = 2x + 26
5x + 2 - 2x = 2x - 2x + 26 [subtraction property of equality]
3x + 2 = 26
3x + 2 - 2 = 26 - 2 [subtraction property of equality]
3x = 24
3x/3 = 24/3 [division property of equality]
x = 8
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A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. How many total
possible outcomes are there when choosing a marble from the bag?
Answer: 14
Step-by-step explanation: https://brainly.com/question/15694490
In the triangle below , XZ=YZ, find the measure of< YZX
ANSWER:
80°
STEP-BY-STEP EXPLANATION:
Since the sides XZ and YZ are equal, the angle We know that the sum of all the angles is equal to 180 °, therefore:
[tex]\begin{gathered} 180=50+50+\text{YZX} \\ \text{YZX}=180-50-50 \\ \text{YZX = }80\text{\degree} \end{gathered}[/tex]help me
1 Answer:
Evaluate the following expression when q = 13.
q-10
2 Answer:
Evaluate the following expression when x = 4.2.
34.5x
3 Answer:
You deposit $70 in a savings account that pays an annual interest rate
of 3%. How much simple interest would you earn in 2.5 years?
1) When q = 13, the expression q - 10 is; 3
2) When x = 4.2, the expression 34.5x is; 144.9
3) The simple interest you would earn in 2.5 years is; $5.25
How to solve Algebra Word problems?1) We want to evaluate the following expression;
q - 10 when q = 13.
Thu, we will plug in 13 for q to get;
13 - 10 = 3
2) We want to evaluate the following expression;
34.5x when x = 4.2
Plug in 4.2 for x to get;
34.5 * 4.2 = 144.9
3) The formula for simple interest is;
I = PRT/100
Where;
P is principal
R is rate
T is time
We are given;
P = $70
R = 3% = 0.03
Time; T = 2.5 years
Thus;
I = 70 * 0.03 * 2.5
I = $5.25
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graph and label each figure and its image under the translation along the given vector. identify the coordinates of the image.
The transformations are
Transformation 1: The image of the transformation are P'(-3, 0), Q'(4, 4), R'(8, -4) and S'(1, -7)Transformation 2: The image of the transformation are E'(1, -4), F'(6, 0) and G'(7, -4)How to perform the transformationTransformation 1
Here, we have
The coordinates are given as
P(-5, 4), Q(2, 8), R(6, 1) and S(-1, -3)
The transformation is given as
<2, -4>
This is represented as
(x, y) ⇒ (x + 2, y - 4)
This means that the translation is (x + 2, y - 4)
When this rule is applied on the coordinates, we have
P'(-3, 0), Q'(4, 4), R'(8, -4) and S'(1, -7)
Next, we plot the image of the transformation on a coordinate plane
See attachment for the image of the transformation
Transformation 2
Here, we have
The coordinates are given as
E(-7, -7), F(-2, -3), G(-1, -6)
The transformation is given as
<8, 3>
This is represented as
(x, y) ⇒ (x + 8, y + 3)
This means that the translation is (x + 8, y + 3)
When this rule is applied on the coordinates, we have
E'(1, -4), F'(6, 0) and G'(7, -4)
Next, we plot the image of the transformation on a coordinate plane
See attachment for the image of the transformation
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Marcel and his 8 friends have a snow shoveling business. Last season, they earned a total of $2,240.64. How much
money did each friend make?
$280.08
B$17,925.12
$248.96
D) $20,165.76
int(s)
HIDE HINT
1/1
| How many people were there all together?
Two distinct lines, & and m, are each perpendicular to the same line n.
a. What is the measure of the angle where line / meets line n?
b. What is the measure of the angle where line m meets line n?
A. The measure of the angle where line | meets line n is ___ degrees
B. The measure of the angle where line meets line n is ____ degrees
The two distinct lines, line l and line m, have the following relationship with line n
A. The measure of the angle where line | meets line n is 90 degrees
B. The measure of the angle where line meets line n is 90 degrees
What are perpendicular lines?This is a term used to refer to lines that intersect at angle 90 degrees. perpendicular lines are also found in right angle triangle. Hence it is right to say that two sides of a right angled triangle are perpendicular to each other.
The features of perpendicularity also helps in defining a squire and rectangles. This is true because the sides meet at angle 90 degrees
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Florence wishes to retire at age 65 with $1,200,000 in her retirement account. When she turns 22, she decides to begin depositing money into an account with an APR of 7% compounded monthly. What is the monthly deposit that Florence must make in order to reach her goal? Round your answer to the nearest cent, if necessary.
The monthly deposit that Florence must make in order to reach her goal is $366.74.
What should be the monthly deposit?The series of payments that must be made is known as an annuity. An annuity is a series of payment made over a period of time. The amount that is invested monthly would grow at an exponential rate. This is because both the amount invested and the interest that has been accrued grows at each compounding period.
The formula to determine the monthly deposit is:
Monthly deposit = future value / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 7 / 12 = 0.583%n = number of periods = number of years x number of compounding periods(65 - 22) x 12
43 x 12 = 516
1,200,000 ÷ [((1.00583)^516]}- 1 / 0.00583] = $366.74
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Can you solve this for me please.
An average male lion in captivity requires
8 pounds of food per day. The equation y = 8x
can be used to represent this situation. What is
the constant of proportionality? What does the
constant of proportionality represent in the
context of the problem? (Example 1)
4.
Answer: 8 is actually the constant of proportionality, since it is the number that stays the same regardless of the change in x and y.
Step-by-step explanation:
Let's say you want to know how many pounds of meat a male lion would eat in a month in order to purchase for the zoo the correct amount of food needed. Let's assume the month was 30 days. we know that 8 is the amount of food per day (that number will not change because it is a constant.
so 30 x 8 = 240 which is what y is for the 30 days.
if you needed two weeks, 14 days. 14 x 8 = 112 pounds for the 14 days.
So you see 8 stays the same for each scenario, so it is the constant that is used for all values of x to find y.
PLEASE HELP ME 1. A different pool had an area that is of the form
▢ × 102 + ▢ × 101 + 6
and that can be written in the form x3 ,
where x is a whole number.
A) Decide what your number could be.
B) What is the perfect square number that is closest to the number you chose? What would the side length of a square pool with that area be?
C) Estimate the side length of a square pool with the area you chose in part a).
The solutions to the questions are
The number we are using is 5The perfect square number closest to the area is 1024The estimated side length is 32What are areas?The area of a shape is the amount of space on the shape
For most regular quadrilaterals, you multiply the side lengths to determine the area
The number to useThe area expression is given as
Area = ▢ × 102 + ▢ × 101 + 6
From the question, we can use any number
However, this number must be positive
Assume the number is 5
So, we have
Area = 5 × 102 + 5 × 101 + 6
The perfect square number closest to the resultIn (a), we have:
Area = 5 × 102 + 5 × 101 + 6
Evaluate
Area = 1021
The perfect square number closest to this is
Closest = 1024
The estimated side lengthIn (b), we have
Closest = 1024
Rewrite as
Area = 1024
Take the square roots
Length = 32
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Hi hi job hi thank everyone for
We are asked to determine the value of the variation of the angle with respect to "x". To do that we will determine an equation that relates "x" and the angle using the following right triangle:
We can use the function tangent since this is defined as:
[tex]\tan\theta=\frac{opposite}{adjacent}[/tex]Now, we plug in the values:
[tex]\tan\theta=\frac{3000}{x}[/tex]Now, we will determine the angle when "x = 2000". We substitute 2000 in the equation:
[tex]\tan\theta=\frac{3000}{2000}[/tex]Now, we take the inverse function of the tangent:
[tex]\theta=\tan^{-1}(\frac{3000}{2000})[/tex]Solving the operations we get:
[tex]\theta=56.31°[/tex]Therefore, the angle is 56.31 degrees or 0.983 radians.
We are asked to determine the value of the derivative of "x" with respect to "t". Since this is equivalent to the velocity of the plane we have that:
[tex]\frac{dx}{dt}=-200\frac{ft}{s}[/tex]Now, we are asked to determine the derivative of the angle with respect to time. To do that we will determine the derivative with respect to time on both sides of the equation:
[tex]\frac{d}{dt}(\tan\theta)=\frac{d}{dt}(\frac{3000}{x})[/tex]For the derivative on the left side, we know that the derivative of the tangent is the secant squared, therefore, we have:
[tex]\sec^2(\theta)\frac{d\theta}{dt}=\frac{d}{dt}(\frac{3000}{x})[/tex]Now, we determine the derivative on the right side using the following formula:
[tex]\frac{d}{dx}(\frac{a}{x})=-\frac{a}{x^2}[/tex]Applying the rule we get:
[tex]\sec^2\theta\frac{d\theta}{dt}=-\frac{3000}{x^2}\frac{dx}{dt}[/tex]Now, we solve for the derivative of the angle with respect to time:
[tex]\frac{d\theta}{dt}=-\frac{1}{\sec^2\theta}(\frac{3000}{x^2})\frac{dx}{dt}[/tex]Now, we substitute the values:
[tex]\frac{d\theta}{dt}=-\frac{1}{\sec^2(0.983)}(\frac{3000ft}{(2000ft)^2})(-200\frac{ft}{s})[/tex]Solving the operations:
[tex]\frac{d\theta}{dt}=0.047\frac{rad}{s}[/tex]Therefore, the variation of the angle with respect to time is 0.047 rad/s.
This means that the dish is rotating at a speed of 0.047 rad/s.
Answer: We are asked to determine the value of the variation of the angle with respect to "x". To do that we will determine an equation that relates "x" and the angle using the following right triangle:We can use the function tangent since this is defined as:Now, we plug in the values:Now, we will determine the angle when "x = 2000". We substitute 2000 in the equation:Now, we take the inverse function of the tangent:Solving the operations we get:Therefore, the angle is 56.31 degrees or 0.983 radians. We are asked to determine the value of the derivative of "x" with respect to "t". Since this is equivalent to the velocity of the plane we have that:Now, we are asked to determine the derivative of the angle with respect to time. To do that we will determine the derivative with respect to time on both sides of the equation:For the derivative on the left side, we know that the derivative of the tangent is the secant squared, therefore, we have:Now, we determine the derivative on the right side using the following formula:Applying the rule we get:Now, we solve for the derivative of the angle with respect to time:Now, we substitute the values:Solving the operations:Therefore, the variation of the angle with respect to time is 0.047 rad/s.This means that the dish is rotating at a speed of 0.047 rad/s.
Step-by-step explanation:
Equation IQ include many puzzles to advance in the game. 1 puzzle involves a pair of similar triangles. Players must use the clues to find missing side lengths, two triangles are given.
Since the two triangles in the given are similar triangles, we now know that they both have the same angle, but scaled, meaning they have different side lengths.
Base on the given, XA = 15, while XZ = 27
We can now assume that if XA : XZ, BA : YZ
We can rewite this as:
[tex]\frac{XA}{XZ}=\frac{BA}{YZ}[/tex]Now, plugging in the values of XA, XZ, and BA, we can now solve for YZ.
[tex]\frac{XA}{XZ}=\frac{BA}{YZ}[/tex][tex]\frac{15}{27}=\frac{20}{YZ}[/tex][tex]15YZ=20(27)[/tex][tex]YZ=\frac{20(27)}{15}[/tex][tex]YZ=36[/tex]We now see that the length of YZ is 36 inches.
Next, to solve for XY, we will use the same method, but this time we will be using XB instead of BA.
[tex]\frac{XA}{XZ}=\frac{XB}{XY}[/tex][tex]\frac{15}{27}=\frac{10}{XY}[/tex][tex]15XY=10(27)[/tex][tex]XY=\frac{10(27)}{15}[/tex][tex]XY=18[/tex]Therefore, XY is 18 inches long.
Hello I need help for my study guide :(
A rough sketch of the rectangular plot is
The perimeter of the rectangle is given by the formula:
[tex]P=2l+2w[/tex]Where,
and,
i
The perimeter is 320, so we can write:
[tex]\begin{gathered} P=2l+2w \\ 2l+2w=320 \\ 2(l+w)=320 \\ l+w=160 \end{gathered}[/tex]Total fencing cost $3120 and this is 1 length side and 2 width side.
The fencing on length side is $24 per foot and width side is $4 per foot.
e can write an equation:
[tex]\begin{gathered} 24l+2(4w)=3120 \\ 24l+8w=3120 \end{gathered}[/tex]Now, we have to solve the 2 simultaneous equations,
[tex]\begin{gathered} l+w=160 \\ 24l+8w=3120 \end{gathered}[/tex]Let's solve with elimination >>>>
[tex]\begin{gathered} l+w=160 \\ 24l+8w=3120 \\ ----------- \\ -8\times(l+w=160) \\ 24l+8w=3120 \\ ------------ \\ -8l-8w=-1280 \\ 24l+8w=3120 \\ _{\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}} \\ 16l=1840 \\ l=\frac{1840}{16} \\ l=115 \end{gathered}[/tex]We can substitute this value of "l" into the first equation and solve for "w". This is shown below:
[tex]\begin{gathered} l+w=160 \\ 115+w=160 \\ w=160-115 \\ w=45 \end{gathered}[/tex]Thus,
AnswerThe Longer Dimension is 115 feetThe Shorter Dimension is 45 feetClassify the following
sequence:
1, 4, 9, 16, 25, ...
A. neither
B. geometric
C. arithmetic
FOR ARITHMETIC
[tex]lhs = 9 - 4 \\ lhs = 5 \\ rhs = 4 - 1 \\ rhs= 3 \\ \\ lhs \: not = rhs[/tex]
SINCE THERE IS NO COMMON DIFFERENCE LET US TEST FOR A GEOMETRIC SEQUENCE.
[tex]lhs = \frac{9}{4} \\ \\ rhs = \frac{4}{1} \\ rhs = 4 \\ \\ lhs \: not = rhs[/tex]
THERE IS NO COMMON DIFFERENCE NOR A COMMON RATION THIS MEANS THAT THE SEQUENCE IS NEITHER AN ARITHMETIC NOR A GEOMETRIC SEQUENCE.
THE OPTION IS A.NEITHER.
Please fill in the blanks so that the following statement is true
In general, given a function g(x), a transa
If f(x)=√x-3, which inequality can be used to find the domain of f(x)?
square root of x - 3 over or equal to zero, x minus three over or equal to zero, square root of x-3 under or equal to zero; x-3 under or equal to 0
The inequality that can be used to find the domain of f(x) is x - 3 ≥ 0.
The correct answer is the second one i.e.x minus three over or equal to zero.
What is the Domain of a Square Root Function?Fundamentally, the square root function has the form f(x) = √x. In other words, f(x) = √x is the parent square root function.A negative number's square root is not a real number. Therefore, negative values cannot be put into the square root function.That is, the set of all real numbers that are not negative constitutes the domain of the square root function, f(x) = √x.Consequently, [0,∞ ) is the square root function domain. It should be noted that the domain also contains 0.Given:
Function f(x) = √x-3
The fact that a negative number cannot be used as the term in the root square, so
x - 3 ≥ 0 which implies that, x ≥ 3.
From the inequality, we can tell that the domain of the function is the interval [3,∞).
Hence the inequality is x - 3 ≥ 0.
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There are 18 boys and 46 girls in class. 87.5% of the students in the class take the
bus to school. How many students do not take the bus to school?
Reason:
87.5% of the students take the bus to school
100% - 87.5% = 12.5% of the students do not take the bus to school
The info about the "18 boys and 46 girls" is put there as a distraction since it's never used.
devin prepares for a multi day hike by packing his backpack with food,water,bedding, and emergency supplies. the tracks how many pounds of each he's carrying and find the ratio of their respective weights 2:3:1:4 f the total weight of his supplies is 35 pounds how many pounds of water is devin carrying
The amount in pounds of water that's been carried by Devin as described by the ratio given in the task content is; 10.5 pounds.
How many pounds of water is Devin carrying as described in the task content?It follows from the task content that the amount of water Devin is carrying is to be determined.
On this note, since the backpack contains food, water, bedding, and emergency supplies are in the ratio; 2 : 3 : 1 : 4.
It therefore follows from proportion that the ratio representation of total of all supplies is; (2 + 3 + 1 + 4) = 10.
Therefore, since the total weight is; 35 pounds, it follows that the amount of water Devin is carrying can be of help as follows;
w/35 = 3/10.
w = (3 × 35)/10
w = 105/10
w = 10.5 pounds.
Ultimately, the total weight of water Devin is carrying is therefore; 10.5 pounds.
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Can you please explain this to me?
The amplitude is determined as the distance from the midline of the cosine function.
From the graph provided, the depth is shown as 3 units (between 5 units and 2 units) which puts the midline at 3.5 units. The amplitude therefore is 1.5
13. A journalist believes that, in reality, these components have a shorter lifespan than what the company is reporting. He tests a random group of 35 of these components and finds a mean lifespan of 4.05 years. a. What is the mean of the sampling distribution of sample means when 35 random components are tested?
The mean of the sampling distribution of sample means when 35 random components are tested will be 4.05 years.
How to illustrate the information?From the information, it should be noted that the journalist believes that, in reality, these components have a shorter lifespan than what the company is reporting.
He then tests a random group of 35 of these components and finds a mean lifespan of 4.05 years.
Therefore from the information, we acne see that the mean lifespan has already been given.
Therefore, the mean lifespan is 4.05 years.
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Which of the m-values satisfy the following inequality? 5m + 1 <_ 4Choose all answers that apply: A.) m = 0B.) m = 1C.) m = 2
We want to know which values of m satisfy ≤
5m + 1 4
Substracting 1 both sides:
-1 - 1
+03
5m ≤ 3
Dividing by 5 both sides
/5/5
m ≤ 3/5
m ≤ 0.6
Since 1 and 2 are higher than 0.6 and 0 ≤ 0.6
Then if m=0 it is satisfied
Answer: Aif all tree friends worked 20 hours during the week, how much ith each person earn
The amount of money earned by each person will be;
Savannah = $190
Greg = $180
Kevin = $165
How to calculate the amount?From the information, the following can be deduced:
Savannah works $9.50 per hour.
Greg works $9 per hour.
Kevin works $8.25 per hour
Therefore, they all work for 20 hours. The amount for each person will be:
Savannah works $9.50 per hour. = $9.50 × 20 = $190
Greg works $9 per hour. = $9 × 20 = $180
Kevin works $8.25 per hour = $8.25 × 20 = $165
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Savannah works $9.50 per hour.
Greg works $9 per hour.
Kevin works $8.25 per hour
If all tree friends worked 20 hours during the week, how much does each person earn?
Simply the expression
3x 3/648x4y8
Answer:
8%3-29xy
Step-by-step explanation:
thats the answer
It’s helpful to know the background of how much you owe in federal taxes by calculating by hand. What is another way that people can look up how much they owe?
Another way that people can look up how much they owe in tax is by looking it at IRS.gov/account.
What is the tax about?A tax that you pay to the federal government in the US as opposed to a state government If income is used to pay for college, it could not be subject to federal taxes. Federal taxes are collected by the federal government.
The marginal tax rate should be used to calculate federal taxes. It only applies to taxable income. Make changes to gross revenue to arrive at a determinable Taxable income before computing Taxable income. Deductions must then be made. After deductions, taxable income is available. There is no tax due if there is no taxable income.
At IRS.gov/account, you can securely log in to access your federal tax account. Once you've logged into your account, you can see your balance and the amount you owe, as well as 18 months' worth of payment history, access Get Transcript, and see the most important data from your most recent tax return.
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Complete the calculation
5 5 5
5 + 5 + 5 = x 5 = 5 x
Answer:
29
Step-by-step explanation:
=5+5×5–1(5÷5=1)
Multiplication
=5+25–1(5×5=25)
Addition
=30–1
(25+5=30)
Subtraction
=29
(30-1=29)
If Katie Pittman earns a $60,840 annual salary, what is her weekly gross salary?
$2,340
$2,530
$1170
$1,216.80
If Katie Pittman earns a $60,840 annual salary, her weekly gross salary is $1170.
What is weekly gross salary?
The number of hours worked multiplied by the hourly wage of an employee is how gross wages are determined for hourly workers. For instance, an employee making $12 per hour and working 25 hours per week would earn a gross weekly salary of $300 (25 x 12 = 300).
What is annual salary?
The gross pay (before tax deductions) divided by the number of pay periods in a year yields the yearly salary. For instance, a worker making $1,500 each week would make $78,000 a year (1,500 multiplied by 52).
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1) Which of the following is the additive inverse of a - b ?
The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in mathematics. The opposite (number),[1] sign change,[2] and negation are other names for this number. [3] The additive inverse (opposite number) of a positive number is negative, and the additive inverse of a negative number is positive, when applied to a real number. The additive inverse of zero is zero.
Associated with subtractionSubtraction, which can be seen as adding the opposite, is closely related to additive inverse:
a − b = a + (−b).
On the other hand, additive inverse can be compared as subtracting from zero:
−a = 0 − a.
As a result, the unary minus sign can be used to represent subtraction without using the "0" symbol, even though there shouldn't be a space after the unary "-" in proper typography.
Other featuresNegation has the following algebraic characteristics in addition to the identities mentioned above:
It is an Involution operation when (a) = a.
−(a + b) = (−a) + (−b)
−(a − b) = b − a
a − (−b) = a + b \s(−a) × b = a × (−b) = −(a × b)
(−a) × (−b) = a × b
Particularly, (a)2 = a2.
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Using point P, which point would form a line parallel to line AB?
(-6,4)
(3,2)
(1,1)
(-2,3)
Answer:
(3,2)
Step-by-step explanation:
The equation of the line graphed is
y = 2/3x + 2
Parallel lines have the same slope.
y = mx + b
y = 2/3x + 0 P tells me that the y-intercept is 0
y = 2/3 x Which point would make this true?
Point (3,2) We plug in 3 for x and 2 for y
2 = 2/3(3)
2 = 2 This is a true statement, so the point (3,2) is on the line.
PLS HELPPPP IVE ASKED THIS 3 TIMES (3y + 11) (7x - 30) (5x + 14)Write the equation of the line that passes through the points (0,3) and (2,-1). Put your answer in point-slope form, using fractional form for m and b.
Answer: 2x + 3y = 33