The slope of the line passing through points: (2,4) and (1,3) is 1
By definition, the slope or gradient of a line describes its steepness, incline, or grade. To calculate the slope of the line passing through the points we use the below formula,
\(m=\frac{Y_{2}-Y_{1} }{X_{2} -X_{1} }\)
\(Here ~Y_{2} = 3, Y_{1} =4 , X_{2}=1 ~ and~ X_{1} =2.\)
\(Hence, m=\frac{3-4}{2-1} =\frac{-1}{-1} \\~~~~~~~~~~~ m= 1.\)
In mathematics, a slope is a number that quantifies the steepness and direction of a line, or a portion of a line connecting two points and is commonly symbolized by m. In general, the absolute magnitude of a line's slope, m, is used to determine its steepness. The steeper the line, the greater the value. Based on the sign and value of m, it is feasible to establish the direction of the line that m describes.
The slope is defined as the change in height divided by the change in horizontal distance, and it is also known as "rise over run." It has applications in both geography and civil engineering, such as road construction. In the case of a road, the "rise" is the change in height, while the "run" is the difference in distance between two fixed places, as long as the distance for measurement is not so great that the earth's curvature is taken into account.
Hence slope of the line passing through points: (2,4) and (1,3) is 1
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Answer:
slope = 1
Step-by-step explanation:
slope = change in x /change in y
slope = 3 - 4 / 1 - 2
slope = -1 / -1
slope = 1
So slope = 1
To graph the inequality y < 2x - 1, you would draw a solid line. A true B false
True
Personally, when I see the line underneath the equality sign, I know I've got to draw a dotted line. That's how I remember the difference between drawing a solid / dotted line.
Hope this helps!
what is the radian measure of 210 angle
Answer:
Hoped this helped
Step-by-step explanation:
Answer:
C. 7 pi/ 6
Step-by-step explanation:
M is the midpoint of line AB. Endpoint A is (4, 2). Midpoint M is (6, 0). Endpoint B = ?
The B points are ( 8, -2 ) of Endpoint B when M is the midpoint of line AB.
What is midpoint of a segment?
The midway of a line segment in geometry is where it meets the other end. The centroid of the segment and the endpoints, it is equally spaced from both endpoints. It cuts the section in half.M is the midpoint of line AB.
Endpoint A is (4, 2).
Midpoint M is (6, 0)
Let mid points are ( x,y) and A points are ( x₂ , y₂ ) and B points are ( x₁ , y₁)
x = x₁ + x₂/2 , y = y₁ + y₂/2
6 = x₁ + 4/2 , 0 = y₁ + 2/2
12 = x₁ + 4 , 0 = y₁ + 2
x₁ = 12 - 4 , y₁ = -2
x₁ = 8 , y₁ = -2
So, the B points are ( 8, -2 )
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Ronald is walking at a rate of 3 miles per hour. If he walks for 2 hours and then runs at a rate of 6 miles per hour for another 1 hour, how far did Ronald travel in total?
Answer:
12Step-by-step explanation:
Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
Malik is solving the equation x^2- 10x - 11 = 0 using the complete the square method.
Here is Malik's work:
Malik checks his answer and realized he has mad a mistake. On which line did Malik make his mistake?
Explain Malik’s Mistake using the complete square method
HELP ME PLEASE ILL GIVE BRAINLIEST
Answer:
In line 4, he did the mistake. He should have square rooted the other side as changing sides changes square to square root.
explanation:
line 1: \(\sf p^2 - 10p - 11 = 0\)
\(\sf p^2 - 10p = 11\)
line 2: \(\sf p^2 - 10p + 25 = 11 + 25\)
\(\sf p^2 - 5p -5p+ 25 = 36\)
\(\sf p(p-5)-5(p-5) = 36\)
line 3: \(\sf (p-5)^2 = 36\)
line 4: \(\sf p - 5 = \pm \sqrt{36}\)
\(\sf p-5 = 6\) or \(\sf p-5 = -6\)
line 5: \(\sf p = 11\) or \(\sf p = -1\)
line 6: The solution is p = 11 or p = -1
The probability of choosing a red three-card from a standard deck of cards is approximately 3.8%. What is the probability of the complement of this event?
Answer:
96.2 thats the answer I think
Mr. Hawkins is covering a wall with
wallpaper. The room measures 14 feet by 12
feet in a rectangular shape. Each square foot
of wallpaper costs $2.90. What is the cost of
adding wallpaper to the room
Answer:
The total cost of adding wallpaper to the room is $487.20
Step-by-step explanation:
Basically, how I got the answer is:
1. The shorter sides of the rectangle are 12 and the longer sides are 14.
2. The formula for a rectangle is A = l x w. The "l" means length and the "w" means width. 14 is the length and 12 is the width. So you should now have A = 14 x 12. If you multiply 14 by 12, you will get 168.
3. Since 1 square foot of carpet costs $2.90, then you should multiply by 168, which will give you $487.20 and that's pretty much it.
Hope this helps! :)
The total cost of adding wallpaper to the room by Mr. Hawkins is $487.20.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given that the shape of the wall that Mr. Hawkins covering with wallpaper is rectangular.
The formula to find the area of a rectangular shape is,
Area of a rectangular shape = Length × Width
Given that,
Length of the wall = 14 feet
Width of the wall = 12 feet
Substituting the given measurements to the formula, we get,
Area of the wall = 14 × 12 = 168 feet²
Also, given that,
Cost for each square foot of wall = $2.90
Cost for 168 square feet = $2.90 × 168
= $487.20
Hence the total cost for adding wallpaper to the room is $487.20.
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a bike was originally $102 and is on sale for 30% off. what is the discounted priice
Answer:
$71.4
Step-by-step explanation:
Answer:
$71.40
Step-by-step explanation:
an item with an original price tag of $102 that is marked down by 30% will have a sales price of $71.40 -- a savings of $30.60.
A hyperbola centered at (7, 0) has a focus at (7, 5) and vertex at (7, 4). Which is the equation of the hyperbola in standard form?
quantity x minus 7 end quantity squared over 16 minus y squared over 9 equals 1
quantity x minus 7 end quantity squared over 25 minus y squared over 16 equals 1
y squared over 16 minus quantity x minus 7 end quantity squared over 9 equals 1
y squared over 25 minus quantity x minus 7 end quantity squared over 16 equals 1
Based on the calculations, the equation of this hyperbola in standard form is: A. \(\frac{x\;-\;7}{16} + \frac{y}{9} = 1\).
How to determine the equation of a hyperbola?Mathematically, the equation of a hyperbola in standard form is given by:
\(\frac{x\;-\;h}{a^2} + \frac{x\;-\;k}{b^2} = 1\)
Given the following data:
Center (h, k) = (7, 0)
Vertex (h+a, k) = (7, 4)
Focus = (h+c, k) = (7, 5)
Also, we can deduce that the value of a and c are 4 and 5 respectively.
For the value of b, we would apply Pythagorean's theorem:
c² = a² + b²
b² = c² - a²
b² = 5² - 4²
b² = 9.
Substituting the parameters into the standard equation, we have:
\(\frac{x\;-\;7}{4^2} + \frac{y\;-\;0}{3^2} = 1\\\\\frac{x\;-\;7}{16} + \frac{y}{9} = 1\)
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Identify the plot of the data and then find the line of best fit.
The equation of the best fit line is y = -8.21x + 14.39
How to find the equation of the best fit linefrom the question, we have the following parameters that can be used in our computation:
The table of values
Using the least squares, we have the following summary
Sum of X = 6.3Sum of Y = 49Mean X = 0.9Mean Y = 7Sum of squares (SSX) = 0.28Sum of products (SP) = -2.3The regression equation is
y = mx + b
Where
m = SP/SSX = -2.3/0.28 = -8.21429
b = MY - bMX = 7 - (-8.21*0.9) = 14.39286
So, we have
y = -8.21x + 14.39
Hence, the equation is y = -8.21x + 14.39
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how many grams are in 2.2 kilograms?
Answer:
How many grams are in 2.2
kilograms?
The solution is
Step-by-step explanation:
There are 2,200 grams in 2.2 kilograms.
There are 1,000 grams in one kilogram.
So, to convert kilograms to grams, you multiply the number of kilograms by 1,000.
To find out how numerous grams are in2.2 kilograms, you would multiply 2.2 by 1,000
So, 2.2 kilograms x 1,000 grams/ kilogram
= 2,200 grams
So, there are 2,200 grams in 2.2 kilograms.
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Solve the equations for x.
ax-b=4
if a doesn’t equal 0
Answer:
To solve for x, we need to isolate x on one side of the equation.
Starting with the equation:
ax - b = 4
We can add b to both sides:
ax = b + 4
Next, we can divide both sides by A:
x = (b + 4) / a
Therefore, the solution for x is:
x = (b + 4) / a
Note that this solution is always defined since a cannot be equal to 0 (as stated in the problem statement).
Step-by-step explanation:
find a positive coterminal angle for 765 degrees
Answer:
45 degrees
Step-by-step explanation:
Subtract 360° 360 ° from 405° 405 ° . The resulting angle of 45° 45 ° is positive, less than 360° 360 ° , and coterminal with 765° 765 ° .
Please help! Thank you :)
Answer:
FE→
Step-by-step explanation:
You start with the endpoint and go in the direction of the arrow
FE
It will have an arrow on top with an endpoint on the left and an arrow going in the same direction to indicate it is a ray→
You might need:Factor completely.640 – 10x2=Show Calculator
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5.
−4
−5
4
5
Answer:
The answer is definetely 5.
Step-by-step explanation:
K = the distance from f(x) to g(x)
And I took the test and got a 100%. Ik ik I really am a MATH MAESTRO, it's in the name. Anyways Good luck! I hope this helped!
Answer:
5
Step-by-step explanation:
Mr. Ortiz is a driving instructor. Of his students, 23 have taken the driver's test and 17 of them have passed
on the first attempt. Mr. Ortiz earns a $300 bonus if 80% of his students pass the test on the first attempt.
How many consecutive students must pass on the first attempt in order for Mr. Ortiz to earn the bonus
Answer:7
Step-by-step explanation:
If the volume of an object is 5 cm3 and its mass is 55 g, what is its density?
A. 11 g/cm^3
C. 50 cm^3/g
С.
В. 15 g/cm
D. 275 g/cm^3
could someone help me super duper fast with factoring trinomials
my previous questions are worth 50 each by the way
Answer:
(3a+3b+1)(2a+2b+3)
Step-by-step explanation:
This is the farthest they could be factored
#1
6(a+b)²+11(a+b)+3Let a+b=x
6x²+11x+36x²+2x+9x+32x(3x+1)+3(3x+1)(2x+3)(3x+1)Put value
(2(a+b)+3)(3(a+b)+1)#2
8(x+1)²-14(x+1)+3Let x+1=y
8y²-14y+38y²-2y-12y+32y(4y-1)-3(4y-1)(2y-3)(4y-1)Put value
(2(x+1)-3)(4(x+1)-3)Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3
The equation accurately represents this statement is "Negative 3 less than 4.9 times a number, x, is the same as 12.8"
how to determine the equation that accurately represents the statementThe statement is "Negative 3 less than 4.9 times a number, x, is the same as 12.8." We can break it down into two parts:
"4.9 times a number, x": This means we need to multiply a number, x, by 4.9. So the first part of the equation is 4.9x.
"Negative 3 less than 4.9 times a number, x, is the same as 12.8":
This means we need to subtract 3 from the result of multiplying x by 4.9. So the second part of the equation is -3.
Putting it all together, we get:
4.9x - 3 = 12.8
This equation accurately represents the given statement.
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6 tractors take 8 days to collect the harvest. how long will it take 18 tractors to do the same?
Answer:
2.25
Step-by-step explanation: If it takes 6 tractors in 8 days then u would have to divide 18 by 8 because its double the equitment.
5.104 greater or less than 5.41
Select the correct answer.
Which function passes through points (2, 3) and (4, 4)?
A. y=2/3x+2
B. y=x+4
C. y=1/2x+2
D. y=2x+3
E. y=2x+1/2
The function passes through points (2, 3) and (4, 4) will be y = (1/2)x + 2 thus option (C) is correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given points (2, 3) and (4, 4)
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope m = (4 - 3)/(4 - 2) = 1/2
The linear equation is given as y = mx + c
Put (2,3) and m = 1/2
3 = (1/2)2 + c
c = 2
Thus, y = (1/2)x + 2 will be the correct.
Hence "The function passes through points (2, 3) and (4, 4) will be y = (1/2)x + 2".
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3k-18 written as a product of 3
The answer is 6
If you divide 18 by 3 it's 6
Here is a number line:
Write the number at as a fraction.
Write the number at as an equivalent fraction.
Answer:
1/4 is A as a fraction
2/8 is an equivalent fraction to A
Step-by-step explanation:
Count the lines :)
The area of the rectangle is 70 yd2? What is the length of side
y?
yards
Answer:
7 yds
Step-by-step explanation:
The area of a rectangle is
A = l*w
70 = 10*y
Divide each side by 10
70/10 = 10y/10
7 = y
Answer:
7
Step-by-step explanation:
To find Area is Length x Width
The Length is 10 and the Area is 70
70= 10x
Divide both sides by 10
70/19=7
Help needed! please help math
Answer:
1.147×10^-2 cm
Step-by-step explanation:
You want the difference between the two values 1.87×10^-2 and 7.23×10^-3 expressed in scientific notation.
DifferenceAddition and subtraction of numbers in scientific notation requires that the multipliers have the same exponent. That exponent can be chosen so no adjustment of the exponent is required in the answer.
\(1.87\times10^{-2}-7.23\times10^{-3}= 1.87\times10^{-2}-0.723\times10^{-2}\\\\=(1.87-0.723)\times10^{-2}=\boxed{1.147\times10^{-2}}\)
This measurement is in centimeters.
__
Additional comment
A calculator or spreadsheet can accept input and display results in scientific notation.
The difference in the diameter of of G and H is 1.147x 10⁻² cm
What are mathematics operations?
• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.
• The operation's arity is determined by the number of operands.
• Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.
• A zero-arity operation, also known as a nullary operation, is a constant.
• The mixed product is an example of an arity 3 operation, also known as a ternary operation.
it is given that :
the diameter of cell G is = 1.87 x 10⁻² cm
the diameter of cell H is = 7.23 x 10⁻³ cm
Now, to find the difference between the diameter of two cells simply subtract the diameter of cell G and H :
difference in the diameter of of G and H = 1.87 x 10⁻² cm - 7.23 x 10⁻³ cm
difference in the diameter of of G and H=1.87 x 10⁻² cm - 0.723 x 10⁻² cm
= 1.147x 10⁻² cm
Therefore, the difference in the diameter of of G and H is 1.147x 10⁻² cm
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Simplify 2.54 + 1.5 × 4
Select the correct answer.
The probability of event Als x, and the probability of event Bis y. If the two events are independent, which of these conditions must be true?
O A P(BA) = y
OB. P(
AB) = y
OC. P(BA) = x
OD. P(A and B) = x + y
OE
P(A and B)
P(A)
The condition that must be true about the probabilities is P(A and B) = xy
The probabilities of the events A and B are given as:
P(A) = x
P(B) = y
Given that events A and B are independent events, then we have the following equation
P(A and B) = P(A) * P(B)
The equation becomes
P(A and B) = x * y
P(A and B) = xy
Hence, the condition that must be true is P(A and B) = xy
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