Quadrilateral MNOP has coordinates M(-1, -1), N(-2, -5), O(1, -4), and P(0, -1). If the quadrilateral is rotated 90° clockwise about the origin, what are the coordinates of N'?
The coordinate point of N'is (-2,5)
Solve the equation 120 + 1814
x = 180 − 134
x for x.
Answer:
0.033
Step-by-step explanation:
120+1814x=0
180-134x=0
=0.033
Answer:
i need the points i think the other guy got it right anyway:)
Step-by-step explanation:
In the sequence 4, 7, 12, 19 write the next two terms
Answer:
Step-by-step explanation:
To find the next two terms in the sequence, we need to look for a pattern or rule that generates the sequence.
Looking at the differences between successive terms, we can see that they are increasing by 1, 2, and 3 respectively:
7 - 4 = 3
12 - 7 = 5
19 - 12 = 7
So, the next difference should be 9, and we can add it to the last term in the sequence to get the next term:
19 + 9 = 28
Similarly, we can add the next difference of 11 to get the term after that:
28 + 11 = 39
Therefore, the next two terms in the sequence are 28 and 39.
So, the complete sequence is: 4, 7, 12, 19, 28, 39.
Please answer both questions
Step 1 step 2 step 3 and step 4 nicely please and I need this by today
The volume of the figure is equal 30 cubic feet.
The new volume of the figure is equal 60 cubic feet.
If Molly sells all of the dog beds, she would earn $6.25.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
Volume of figure = 5 × 3 × 2
Volume of figure = 30 cubic feet.
When the height is doubled, we have;
Volume of figure = 5 × 3 × 2(2)
Volume of figure = 60 cubic feet.
For the cost of fabric used, we have:
Cost of fabric used = 2.5 × $4.50
Cost of fabric used = $11.25
Profit = selling price - cost
Profit = $17.50 - $11.25
Profit = $6.25.
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Use the 2016 marginal tax rates to compute the tax owed by the following person.
A single woman with a taxable income of $19,000 and a $2500 tax credit
Our negative number means that the government owes you $413.75. We would have to pay the government money if it weren't a negative number.
What is tax?In order to pay for general government services, goods, and activities, local, state, and federal governments must collect mandated payments or charges from citizens and corporations.
Since ancient times, paying taxes to governments or officials has been a fundamental aspect of civilization.
So, to address this issue, utilize the Single column.
You must first calculate her taxes before deducting the tax credit.
She earns $17,000 in taxable income. She now falls into the 15% category.
The amount owed on the first 9275 dollars that are subject to the tax must first be determined.
.10 * 9275 = 927.50
The remainder of her debt, which is in the 15% range, must then be collected.
.15 * (17000 - 9275) = 1158.75
Add up all of our taxes on the money, then deduct our tax credit of $2500.
(927.50 + 1158.75) - 2500
(2086.25) - 2500 = -413.75
Therefore, our negative number means that the government owes you $413.75. We would have to pay the government money if it weren't a negative number.
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10. A flagpole is supported by two identical wires. What is the distance (X) between the two wires?
Using the Pythagoras theorem, we can find the value of x to be = 10ft.
Option B is correct.
Define Pythagoras theorem?The right-angled triangle's three sides are related in line with the Pythagoras theorem, also referred to as the Pythagorean theorem. The hypotenuse of a triangle's other two sides add up to a square, according to the Pythagorean theorem, which states that.
Here in the question,
We have 2 right-angled triangles.
So, base of the large triangle, x
= √ (13² - 12²) + √ (13² - 12²)
= √ 5² + √ 5²
= 5 + 5
= 10ft.
Therefore, the length of the side, x = 10ft.
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Solve the percent word problem below:
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 137 to 193 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.90 cm, y=81.47 kg, r=0.303, P-value=0.002, and y=−107+1.13x. Find the best predicted value of y (weight) given an adult male who is 153 cm tall. Use a 0.01 significance level.
Answer:
At a 0.01 significance level, we reject the null hypothesis and conclude that the predicted weight of 65.89 kg is significantly different from the actual weight, which could be anywhere between 53.45 kg and 78.32 kg.
Step-by-step explanation:
Given the linear regression equation:
y = -107 + 1.13x
where x is the height in cm and y is the weight in kg.
To find the predicted value of y for a person with a height of 153 cm, we substitute x = 153 into the regression equation:
y = -107 + 1.13(153)
y = -107 + 172.89
y = 65.89
Therefore, the best predicted weight for an adult male who is 153 cm tall is 65.89 kg.
To check if this predicted value is statistically significant at a 0.01 significance level, we can perform a hypothesis test.
Null Hypothesis: The predicted weight for a person with a height of 153 cm is not significantly different from the actual weight.
Alternative Hypothesis: The predicted weight for a person with a height of 153 cm is significantly different from the actual weight.
We can use a t-test to test this hypothesis, with the test statistic:
t = (y_predicted - y_actual) / (s / sqrt(n))
where y_predicted is the predicted weight, y_actual is the actual weight, s is the standard error of the estimate, and n is the sample size.
The standard error of the estimate can be calculated using:
s = sqrt((1 - r^2) * Sy^2)
where Sy is the sample standard deviation of the y variable.
From the given information, we have:
Sy = 22.77 kg
r = 0.303
Therefore,
s = sqrt((1 - 0.303^2) * 22.77^2) = 20.19 kg
The sample size is n = 100.
Substituting these values into the t-test formula, we get:
t = (65.89 - y_actual) / (20.19 / sqrt(100))
t = (65.89 - y_actual) / 2.019
We want to test at a 0.01 significance level, which corresponds to a two-tailed test with a critical value of t = ±2.576 (from a t-distribution with 98 degrees of freedom, since n-2=98).
If the absolute value of t is greater than 2.576, we reject the null hypothesis and conclude that the predicted weight is significantly different from the actual weight.
Substituting t = 2.576 and t = -2.576 into the t-test formula, we get:
2.576 = (65.89 - y_actual) / 2.019
y_actual = 53.45 kg
-2.576 = (65.89 - y_actual) / 2.019
y_actual = 78.32 kg
Therefore, at a 0.01 significance level, we reject the null hypothesis and conclude that the predicted weight of 65.89 kg is significantly different from the actual weight, which could be anywhere between 53.45 kg and 78.32 kg.
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
B and C are right
Step-by-step explanation:
Total Number of Cats: 58
a is wrong because there are 15 cats in the 6 month to 1 year range and 15/58 is 26% not 35%
b is right because there are 19 cats 1 year or older and 11 cats took more than 1 month to be adopted 11/19 is 58% making it correct
c is right because 38 cats were adopted in a month or less and 38/58 is 66%
d is wrong because 20 cats took longer than a month to adopt and 3 were younger than 3 months and 3/20 = 15% not 12.5%
e is wrong because 18 cats were adopted in 1 to 7 days and 4 were 6 months to 1 year and 4/18 = 22%
what is the surface area of a cube when one side is 2mm and one side is 3mm and the other side is 2mm.
One side of the cube is 2 mm, another side is 3 mm, and the remaining side is 2 mm, then the surface area of the cube is 102 mm².
What is a cube?A cube is a three-dimensional geometric shape that has six square faces of equal size. It is a regular polyhedron, which means that it has congruent regular polygons as its faces, and its edges and vertices are all congruent. A cube can be thought of as a three-dimensional version of a square, as all six faces are square and have equal side lengths.
The cube is a very important shape in mathematics and geometry, as it has many useful properties and applications. For example, it is used in calculating the volume and surface area of three-dimensional objects, and in modeling and visualizing three-dimensional structures in physics, chemistry, and engineering. It is also a common shape in games and puzzles, such as Rubik's Cube.
According to the given informationA cube has six square faces, each of which has the same area. Therefore, to find the surface area of a cube, we can calculate the area of one face and then multiply it by six.
If one side of the cube is 2 mm, then the area of one face is:
2 mm x 2 mm = 4 mm²
If one side of the cube is 3 mm, then the area of another face is:
3 mm x 3 mm = 9 mm²
If the remaining side of the cube is also 2 mm, then the area of the third face is also:
2 mm x 2 mm = 4 mm²
Therefore, the total surface area of the cube is:
6 x (4 mm² + 9 mm² + 4 mm²) = 6 x 17 mm² = 102 mm²
Therefore, if one side of the cube is 2 mm, another side is 3 mm, and the remaining side is 2 mm, then the surface area of the cube is 102 mm².
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A particular sound wave can be graphed using the function y=-1 sin 5x. Find the period of the function.
We refer to a function as periodic if it repeats across time with a fixed interval.
It is written as f(x) = f(x + p), where p denotes the function's period and is a real number.
Period is defined as the elapsed time between the two instances of the wave.
Here, we have,
A function's period is the amount of time between repetitions of the function. A trigonometric function's period is defined as the length of one complete cycle.
A periodic function is one whose values repeat at regular intervals. For instance, periodic functions include the trigonometric functions, which repeat every 2 pi radians.
Waves, oscillations, and other periodic events are all described by periodic functions in science. A period is the amount of time that separates two waves, whereas a periodic function is a function that repeats its values at regular intervals.
Each set of numbers that are separated by a comma in a number when expressed in standard form is known as a period. It has four periods, making it 5,913,603,800. The place value chart displays each period using a distinct color.
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Can someone help me with this problem?
In the given diagram, the measure of angle BAC, m ∠BAC, is 66°
Circle Geometry: Calculating the measure of angleFrom the question, we are to calculate the measure of the unknown angle
In the given diagram, we have a circle
We are to calculate the measure of angle BAC, m ∠BAC
From one circle theorems, we have that
The angle subtended by an arc at the center of a circle is twice the angle subtended at the circumference
Thus,
From the give circle, we can write that
132° = 2 × m ∠BAC
Divide both sides by 2
132° / 2 = m ∠BAC
66° = m ∠BAC
Therefore,
m ∠BAC = 66°
Hence,
Measure of the angle is 66°
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Can someone help me please with this
The area of a regular decagon with a radius of its circumscribed circle equal to 9 is approximately 119.1 to the nearest tenth
How do you calculate for the area of a regular decagonTo calculate the area of a regular decagon with a radius of its circumscribed circle equal to 9, we need to first find the length of its sides.
For a regular decagon, the relationship between the radius of its circumscribed circle (R) and the length of its sides (a) is:
a = R × sqrt(2 - 2×cos(360/10))
Simplifying this equation, we get:
a = R × sqrt(2 - 2×cos(36))
a ≈ 5.5629
Now that we have the length of the sides, we can use the formula for the area of a regular decagon:
A = (5/4) × a² × (sqrt(5 + 2 × sqrt(5)))
A = (5/4) × (5.5629)² × (sqrt(5 + 2 × sqrt(5)))
A = 154.7293/4 ×
A ≈ 119.0526
Therefore, the area of a regular decagon with a radius of its circumscribed circle equal to 9 is approximately 119.1
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Solve for x.
A)
B)
G
D)
6
9
15
4
20
3
3
5
Answer:
B
Step-by-step explanation:
given 2 secants from an external point to the circle, then the product of the external part of one secant and that entire secant is equal to the product of the other secant's external part and that entire secant, that is
3(3 + x) = 4(4 + 5)
3(3 + x) = 4 × 9 = 36 ( divide both sides by 3 )
3 + x = 12 ( subtract 3 from both sides )
x = 9
1.2 A Telkom account holder notices that her phone bills for three consecutive months were
significantly different. In May, her account was one and a half times more than her account in June.
Her account in July was R 50 more than her account in June. In total, she spent R 575 in cellular-
phone accounts in the three months. What was her account for each month?
The balance on the account of the Telkom account holder, every month was :
May - R 225June - R 150July R 200How to find the account balance ?We know that May was one and half times June :
M = 1. 5 x J
July was R 50 more than June :
L = J + 50
Total spent was R 575 :
M + J + L = R 575
Then we can solve by substitution:
( 1. 5 J ) + J + ( J + 50 ) = 575
3. 5 J + 50 = 575
3. 5 J = 525
J = 525 / 3. 5 = R 150
L would be:
= 150 + 50
= R 200
M would be:
= 1. 5 x 150
= R 225
The balances for the Telkom account holder is therefore May - R 225, June - R 150, and July R 200.
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The distance between Eilat and Jerusalem is 292 kilometers. Give this distance in miles. Round the answer to the nearest tenth.
This distance in miles is 181.3 miles.
It's worth noting that the conversion factor of 1 kilometer equals 0.621371 miles is an exact value defined by international agreement, so there is no rounding involved in the conversion itself. The rounding occurs only when expressing the result in a specific number of decimal places. It's also worth noting that conversions between units of measurement are important in many fields, including science, engineering, and international trade.
To convert kilometers to miles, we can use the conversion factor of 1 kilometer equals 0.621371 miles. Therefore, to find the distance between Eilat and Jerusalem in miles, we can multiply the given distance of 292 kilometers by 0.621371:
292 km × 0.621371 = 181.344052 miles
Rounding this result to the nearest tenth gives:
181.3 miles
Therefore, the distance between Eilat and Jerusalem is approximately 181.3 miles.
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On Friday, three friends shared how much they read during the week.
• Barbara read the first 100 pages from a 320-page in the last 4 days
• Judy read the first 54 pages from a 260-page book in the last 3 days.
• Nancy read the first 160 pages from a 480-page book in the last 5 days
Part B
If the three friends continue to read everyday at their rates, who will finish reading
their book first? Second? Third? (Show all work)
Question 3
A cuboid has volume of 168 cm³.
The area of the base of the cuboid is 24 cm² and its width is 4 cm
Work out the surface area of the cuboid.
The calculated value of the surface area of the cuboid is 188cm²
Working out the surface area of the cuboidFrom the question, we have the following parameters that can be used in our computation:
A cuboid has volume of 168 cm³.The area of the base of the cuboid is 24 cm² Its width is 4 cmThis means that
Height = 168/24 = 7
Length = 24/4 = 6
The surface area of the cuboid is then calculated as
Area = 2 * (lw + wh + lh)
Substitute the known values in the above equation, so, we have the following representation
Area = 2 * (4 * 6 + 4 * 7 + 7 * 6)
Evaluate
Area = 188
Hence, the area is 188cm²
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URGENT!! I WILL GIVE
BRAINLIEST!!!!! AND ALSO 100 POINTS!!!!!
Answer: All of the slopes are the same.
Which function includes the minimum or maximum value of f as a number that appears as it is shown?
a) f(x)=(x+2)^{2}−16
b) f(x)=(x−2)(x+6)
c) f(x)=x^{2}+4x−12
d) f(x)=x^{2}+6x−2x−12
1. ¿Cuánto es la energía necesaria para aumentar la temperatura del cilindro de aluminio desde la temperatura ambiente hasta
la temperatura final?(5pts)
2. ¿Cuánto es la energía necesaria para aumentar la temperatura del cilindro de latón desde la temperatura ambiente hasta la
temperatura final? (5pts)
3. ¿Qué valores numéricos se utilizaron para realizar la grafica de potencia vs tiempo? (5pts)
Answer:
can't understand. I don't understand this language. Sorry
Assume that when human resource managers are randomly selected, 42% say job applicants should follow up within two weeks. If 5 human resource managers are randomly selected, find the probability that at least 2 of them say job applicants should follow up within two weeks.
Strategic decisions occur:
infrequently and involve long-term decisions
infrequently and involve immediate decisions
frequently and involve long-term decisions
frequently and involve immediate decisions
Strategic decisions occur infrequently and involve long-term decisions.
Decision making is the process of taking decisions from two or more alternatives.
Strategic decision making is one of the important decision making process in an organization. This is one of the best ways to achieve the goals and objectives of an organization.
This is a long term process of decision making since it focus on long term goals.
So this does not occur frequently.
Hence the correct option is (A) infrequently and involve long-term decisions.
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CAN SOMEONE HELP WITH THIS QUESTION?
Answer:
X2 = 1.697916 X3 = 1.431
Step-by-step explanation:
use Newton's formula of the method of approximating of zeros of a function : x_n+1. = x_n - f(x_n)/f'(x_n)
Expressed in simplest a + bi form, (7-3i) + (x - 2i)² - (4i + 2x²) is
Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)
What are the different forms of linear equation?Linear Equation General Form Example
Slope intercept form y = mx + b y + 2x = 3
Point–slope form y – y1 = m(x – x1 ) y – 3 = 6(x – 2)
General Form Ax + By + C = 0 2x + 3y – 6 = 0
Intercept form x/a + y/b = 1 x/2 + y/3 = 1
As a Function f(x) instead of y f(x) = x + C f(x) = x + 3
The Identity Function f(x) = x f(x) = 3x
Constant Functions f(x) = C f(x) = 6
Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:
(x - 2i)² = x² - 4xi + 4i²
Note that i² = -1, so we can simplify this expression to:
(x - 2i)² = x² - 4xi - 4
Substituting this expression and the given values into the original expression, we get:
(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)
Grouping the real and imaginary terms, we get:
(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)
Simplifying the real part, we get:
-2x² - 1
Simplifying the imaginary part, we get:
-7i - 4x
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AM
XYZ Homework
Use the fundamental identities to match equivalent expressions.
a
d
с
b
1
sec (0) + 1
1
1
+
1 - cos(0) 1 + cos(0)
+
G VIDEO
1
csc (0) - cot (0)
1
csc (0) + 1
1
sec(0) - 1
+
1
csc (0) + cot(0)
1
csc (0) - 1
O Port to forum
a. 2 csc (0)cot (0)
b. 2 sec (0)tan (0)
c. 2 cot (0)
d. 2 csc² (0)
Using the fundamental identities, the equivalent expressions are hereby matched as follows:
a. 2 csc (θ) cot (θ) = 2 sin²(θ) / (sin(θ) + cos(θ))
b. 2 sec (θ) tan (θ) = (2 sec²(θ)) - 2 sec(θ)
c. 2 cot (θ) = 2 / sin(θ) - csc(θ)
d. 2 csc² (θ) = 2 / (csc(θ) - 1)(csc(θ) + 1)
How did we arrive at these expressions?Using the fundamental identities, rewrite each expression as follows:
a. 2 csc (θ) cot (θ) = 2 / sin(θ) * cos(θ) = 2 cos(θ) / sin(θ) = 2 / sin(θ) - 2 / sin(θ) + 2 cos(θ) / sin(θ) = 2 / sin(θ) - 2 / (1 + cot(θ)) = (2 - 2 sin(θ)) / (sin(θ) + cos(θ)) = (2 sin²(θ)) / (sin(θ) + cos(θ))
b. 2 sec (θ) tan (θ) = 2 / cos(θ) * sin(θ) / cos(θ) = 2 sin(θ) / cos²(θ) = 2 / cos²(θ) - 2 / cos(θ) = (2 sec²(θ)) - 2 sec(θ)
c. 2 cot (θ) = 2 cos(θ) / sin(θ) = 2 / sin(θ) - 2 / sin²(θ) = 2 / sin(θ) - csc(θ)
d. 2 csc² (θ) = 2 / sin²(θ) = 2 / (1 - cos²(θ)) = 2 / (1 - cos(θ))(1 + cos(θ)) = 2 / (csc(θ) - cot(θ))(csc(θ) + cot(θ)) = 2 / (csc(θ) - 1)(csc(θ) + 1)
Therefore, the matches are:
a. 2 csc (θ) cot (θ) = 2 sin²(θ) / (sin(θ) + cos(θ))
b. 2 sec (θ) tan (θ) = (2 sec²(θ)) - 2 sec(θ)
c. 2 cot (θ) = 2 / sin(θ) - csc(θ)
d. 2 csc² (θ) = 2 / (csc(θ) - 1)(csc(θ) + 1)
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The preimage below does a translation of 3 units up, 2 units left, then a reflection across the x-axis. The image coordinates after this transformation are L'(-2,-1), K'(0,-2), and J'(2,0). Explain or show your work for how the transformation on JKL was completed to get the coordinates of L', K', and J'.
The final image points are: L'(-2,-1), K'(0,-2), J'(2,-3)
How to explain the transformationIt should be noted that to innitiate the first transformation, we must translate three units in a positive y-direction and two units to the left along the x-axis. This is accomplished via adding three to the respective points' measurements on the y-axis and immediately subtracting two from the x-coordinates. Consequently, the consecutive coordinates of J, K, and L become:
J(3,3), K(5,2), L(3,1)
Subsequently, the second alteration requires that we reflect across the x-axis; this can simply be achieved by inverting the y-values of each given point. In conclusion, the modified coordinates of J', K', and L' are now:
J'(3,-3), K'(5,-2), L'(3,-1)
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For the function f shown in the graph below, what is the local minimum? Question
Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation a function?
Select all correct answers.
Select all that apply:
{(4,9),(0,−2),(0,2),(5,4)}
{(5,−5),(5,−4),(7,−2),(3,8)}
{(4,3),(8,0),(5,2),(−5,0)}
{(6,9),(9,−4),(6,1),(−5,11)}
{(4,12),(2,6),(−5,6),(3,−2)}
What's the equation for line AB?
The equation of line AB using the coordinates of point A(-2,2) and B(1.4) with the help of formula for equation of line in two point form is 3y=2x+10
or 3y-2x=10 or 3y-2x-10=0
What are coordinates?
The two-dimensional cartesian coordinates are (x, y), while the three-dimensional cartesian coordinates are (x, y, z). The abscissa and ordinate are the terms used to describe ordered pairs in the form of (x,y). Abscissa: The first number in the ordered pair is termed the abscissa. The abscissa is the value of x in the ordered pair & ordinate is value of y.
We know that equation of line in slope-intercept form is given by:y=mx+b where m denotes slope & b denotes intercept. Also the equation of line can be given in the form of [tex]\frac{Y-Y1}{X-X1} =\frac{Y2-Y1}{X2-X1}[/tex], where (X₁,Y₁) and (X₂,Y₂) are two points through which the line passes.
From the graph it can be seen that the line passes through two points A(-2,2) and B(1,4)
Equation of line through two points A(-2,2) and B(1,4):
[tex]\frac{Y-Y1}{X-X1} =\frac{Y2-Y1}{X2-X1}[/tex]
Consider point A as (X1,Y1) and point B as (X2,Y2)
[tex]\frac{Y-2}{X-(-2)}[/tex] = [tex]\frac{4-2}{1-(-2)}[/tex]
[tex]\frac{Y-2}{X+2}[/tex] =[tex]\frac{4-2}{1+2}[/tex]
[tex]\frac{Y-2}{X+2}[/tex] =[tex]\frac{2}{3}[/tex]
Y-2 =[tex]\frac{2}{3}[/tex] (X+2)
3(Y-2) =2(X+2)
3Y-6 =2X + 4
3Y = 2X + 4 + 6
3Y = 2X +10
Equation of line through two points A(-2,2) and B(1,4): 3y=2x+10
or 3y-2x=10 or 3y-2x-10=0
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A standard deck of 52 cards has 4 suits: clubs, spades, hearts, and diamonds. Each suit has number cards 2 through 10, a jack, a queen, a king, and an ace. The jack, queen, and king are considered "face cards".
What is the probability of drawing one card from a standard deck of cards and choosing a "face card"????
A. 1/3
B. 3/52
C. 1/4
D. 3/13