A line contains the points (−26, −37) and (−32, −61) . What is the slope of the line in simplified form?
I got -4 for my answer, but I don't know if this is right. Please help!!XD
The slope of the line is "4".
Given:
[tex](x_1 , y_1 )= (-26, -37)[/tex][tex](x_2, y_2) = (-32,-61)[/tex]As we know the formula for finding the slope will be:
→ [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the values, we get
→ [tex]= \frac{-61-(-37)}{-32-(-26)}[/tex]
→ [tex]= \frac{-61+37}{-32+26}[/tex]
→ [tex]= \frac{-24}{-6}[/tex]
→ [tex]=4[/tex]
Thus the answer above is right.
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eight less than the quotient of a number and 3 is 18
Cara likes candles. She also likes mathematics and was thinking about using algebra to answer a question that she had about three of her candles. Her taller candle is 16 centimeters tall. Each hour it burns makes the candle lose 2.5 centimeters in height. Her short candle is 12 centimeters tall and loses 1.5 centimeters in height for each hour that it burns. Cara’s middle candle is 15 cm tall and burns at a rate of 2.25 centimeters in height for each hour that it burns. When will all candles be the 6cm tall?
All three candles will be 6 centimeters tall after 4 hours of burning.
To determine when all three candles will be 6 centimeters tall, we can set up equations for each candle and solve for the time it takes to reach the desired height.
For the taller candle, we can set up the equation:
16 - 2.5t = 6,
where t represents the number of hours.
Similarly, for the shorter candle:
12 - 1.5t = 6.
And for the middle candle:
15 - 2.25t = 6.
Simplifying each equation, we have:
-2.5t = -10,
-1.5t = -6,
-2.25t = -9.
Solving for t in each equation, we find:
t = 4 for the taller candle,
t = 4 for the shorter candle,
t = 4 for the middle candle.
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A fish market bought two swordfish at a rate of $13 per pound the cost of the larger fish was 3 times as great as the cost of the smaller fish the total cost of the two fish was $3,952 how much did each fish weigh
what is the answer to a/164363 -10 = 10
8 x ( 14 + 7) = ____ + ( 8 x 7)
which statement about the equation is true?
x + 2 = x + 4
a. one solution
b. no solution
c. multiple solutions
Answer:
The correct option is b) no solution.
Step-by-step explanation:
Consider the provided equation,
[tex]x + 2 = x + 4[/tex]
We need to find the solution of the above equation.
Subtract x from both the sides as shown.
[tex]x-x+2=x-x+4[/tex]
[tex]2=4[/tex]
Which is false.
As 2 is not equal to 4.
Hence, the provided equation has no solution.
Thus, the correct option is b) no solution.
In the recent year, 26.6% of all registered doctors were female. If there were 54,200 female registered doctors that year, what was the total number of registered doctors? Round the answer to the nearest whole number.
I need some help plz!
Enter in the missing numbers to create equivalent ratios.
2:5
Blank:10
6: Blank
Blank:25
6,700 rounded to nearest thousand
In geometry, how do defined terms and undefined terms relate to each other
How do you interpret algebraic expressions in terms of their context?
Final answer:
To interpret algebraic expressions contextually, students should grasp the meaning behind each symbol and the relationships within equations rather than just substituting numbers. Understanding the conceptual basis for equations and checking the reasonableness of solutions aids in developing a deeper comprehension and ability to solve complex problems.
Explanation:
Interpreting Algebraic Expressions
To interpret algebraic expressions in terms of their context, it's essential to understand what each symbol represents within a given problem. Instead of rushing to substitute numerical values for symbols, students should focus on understanding the underlying concepts and relationships that the equation models. For example, consider the equation w = A/h, which relates the width of a rectangle to its area (A) and height (h). Instead of viewing it as a mere formula, recognizing it as a rearranged version of A = wh allows one to comprehend that if the height (h) decreases while the area (A) remains constant, the width (w) must increase. This understanding is crucial when working with equations, as it transforms them from abstract symbols to meaningful representations of physical quantities or logical relationships.
To further contextualize equations, students are encouraged to eliminate unnecessary terms to simplify the algebra, and upon finding a solution, to check if the results are reasonable within the context of the problem. This not only aids in solving the problem correctly but also in developing a deeper intuitive understanding of the subject matter.
In sum, interpreting algebraic equations requires a balance between the abstract manipulation of symbols and the practical reasoning about what these symbols represent in the real world. This applied understanding forms the basis of problem-solving in many scientific and engineering fields and empowers students to tackle more complex problems with confidence.
the table shows how far four students walked in 5 minutes. how far did they walk together. 3/4, 1/2,2/3,3/4.
To find the total distance walked by the four students, add their individual distances together.
Explanation:To find the total distance walked together, you need to add up the distances each student walked. The distances given are represented as fractions. To add fractions, first make sure the denominators are the same. In this case, the denominators are already the same, so you can add the numerators together. So, 3/4 + 1/2 + 2/3 + 3/4 = 15/12.
Simplify the resulting fraction by finding the greatest common divisor of the numerator and the denominator, which is 3. Divide both the numerator and denominator by 3 to get the final answer: 15/12 ÷ 3/3 = 5/4.
Therefore, the students walked a total distance of 5/4 or 1 1/4.
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Sarah splits five cookies evenly among her 6 friends. Write a fraction to represent the amount of cookies each friend received.
2m-2x=x+n. solve for x.
what is 9x-7=-7 in two step show your work
9x-7 = -7
step 1 = add 7 to each side
9x = 0
step 2 divide both sides by 9
x = 0/9 = 0
25 exponent 9 is grewter then (5 exponent 4) and a exponent 2 next to the parentheses
Which of these are NOT examples of the four essential parts of natural selection? Question 2 options: A One offspring of an organism has green fur, and the other has blue fur. This variation in fur color is passed down to their offspring as well. B All offspring of lions will always survive because Earth can always support new organisms. C Cats’ sharp teeth helped them to consume other organisms and survive in their environment. D Jaguars with large jaws made it easier for them to eat certain animals and survive long enough to reproduce.
the larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers is 38, find the two numbers. Show how you got your answer?
The larger number will be 22 and the smaller number will be 16.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the larger number is L and the smaller number is s
Given the larger of the two numbers is 10 less than twice the smaller number
So,
L = 2s - 10
And
The Sum of the two numbers is 38
So,
L + s = 38
By substitution
38 - s = 2s - 10
s = 16
By again substitution
L = 2(16) - 10
L = 22
Hence "The larger number will be 22 and the smaller number will be 16".
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Which name correctly classifies this triangle?
The name of Triangle is Isosceles Triangle.
What is an Isosceles Triangle?Any triangle with (at least) two equal sides is said to be isosceles. The remaining side in the illustration has length in addition to the two equal sides. This characteristic equates to the triangle's two angles being equal. Therefore, an isosceles triangle has two equal sides as well as two equal angles.
Given:
From the figure we can see that the triangle is have two of its line segment is equal.
As, we know that the triangle which have two of its sides and angles are equal is an Isosceles Triangle.
Thus, the Triangle is Isosceles Triangle.
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4.30 makeup;40% discount;6% tax equals
a chinchilla weighs 2 pounds its weight is 1/8 the weight of a koala write an expression and solve it to show how much the koala weights
Jed made 2 free throws in 5 second how many would he make in one minute
help wit the last 2... pic
how many even numbers are between 32 and 60. (not including 32 & 60)
What statement makes the open sentence 1.2 = 3x true?
1.) x = 0.4
2.) x = 1.8
3.) x = 2.5
4.) x = 3.6
I am very confused XD
Also if you could tell me how you got the answer I would appreciate it :)
What transformation is represented by the rule (x, y)→(−y, x)?
A. reflection across the x axis
B. rotation of 90 degrees clockwise about the origin
C. reflection across the y axis
D. rotation of 180 degrees about the origin
Answer:
The answer is D, an 180 rotation about the origin
Step-by-step explanation:
I just did the test and got it right :)
the environmental club is having a trash pick up day.there are 130 people signed up to help.for trash pickup day,they will work in groups of 4.no more than 4 people can join a group.how many groups are there?explain how you interpreted the remainder
What is the value of x2y , when x = 10 and y = 1?
A.1/10
B.1/5
C.5
D.10
Answer:
The answer is 5
Step-by-step explanation:
x/2y = 10/2*1 = 10/2 =5
So basically you do the 10 on top and on the bottom you do 2*1 which equals 2 then you got 10/2 then you would see how many times 2 goes into 10 which is 5 so 5 is your answer hoped this helped! :)
Which of the following shows the factors of 2y^2 - 2y - 4? Select one of the options below as your answer: A. (2y - 4)(y - 1) B. (2y - 4)(y + 1) C. (2y - 2)(y - 2) D. (2y - 2)(y + 2)