The values 7/11 and 7/11, when considered slopes of two lines, indicate that these lines are parallel because they have identical slopes. For the lines to be perpendicular, one slope would need to be the negative reciprocal of the other, which is not the case here.
Explanation:When faced with the values 7/11 and 7/11 in a mathematical context, we typically need additional information to determine a relationship such as whether lines or vectors are parallel, perpendicular, or neither. However, if we assume that the fractions 7/11 represent the slopes of two lines in a Cartesian coordinate system, we can determine the relationship between these lines.
If two lines have identical slopes, this indicates that they are parallel. Their steepness in the coordinate system will be the same, and they will not intersect, no matter how far they are extended. In our case, both slopes are 7/11, which means that these lines are indeed parallel to each other.
For lines to be perpendicular, the slope of one line must be the negative reciprocal of the other. In terms of angles, perpendicular lines intersect at a 90° angle. Since both slopes given here are identical, they do not satisfy the condition for perpendicularity.
Understanding the relationship between lines is essential for analyzing the structure of geometric figures and solving various problems in physics and engineering. Remember that irrespective of relative directions like 'forward' or 'backward,' parallelism is evaluated based on slope in a Cartesian plane.
If f(x)= 3x - 1 and g(x) = x+2, find (f +g)(x)
A. 3x-3
B. 4x+1
C. 2x-1
D. 2x-3
Help Please
If f(x)= 3x - 1 and g(x) = x+2, (f +g)(x) is 4x+1.
(3x-1)+(x+2)
=3x+x-1+2
=4x+1.
What are the operations of functions?A function operation guidelines that are accompanied as a way to remedy functions. Learn the definition of a feature operation such as the guidelines for addition, subtraction, multiplication, and division.
What are the different types of functions?One – one function (Injective function)Many – one function.Onto – function (Surjective Function)Into – function.Polynomial function.Linear Function.Identical Function.Quadratic Function.Learn more about functions here: https://brainly.com/question/6561461
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Lavonne has 4/5 cup of blueberry muffins requires 1/3 cupof blueberrys how many batches of blueberry muffins can lovonne make
write an equation for each line. y intercept of -2,1, x intercept of 3.5
HELP PLEASE!! GIVE EXPLANATION! 15 PTS!!
What is the value of p?
10p+5=18p–62
A. –8
B. –18
C. 4
D. 8
The value of p is [tex]\frac{67}{8}[/tex], which is approximately 8.375. Therefore, the correct option is D. 8
To solve for p in the equation 10p + 5 = 18p - 62, we first need to isolate p on one side of the equation.
First, we'll subtract 10p from both sides to move the variable terms to one side:
10p + 5 - 10p = 18p - 62 - 10p
This simplifies to:
5 = 8p - 62
Next, we'll add 62 to both sides to isolate the term with p on one side:
5 + 62 = 8p - 62 + 62
This simplifies to:
67 = 8p
Finally, we divide both sides by 8 to solve for p:
[tex]\frac{67}{8} = p[/tex]
In conclusion, the value of p is 8.
Les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as a pair of shorts.He Spent a total of $139.50.How much did the blazer cost?
I have the answer but I have to show work help?
the circled is the question and the uncircled is the simplified answer, or so I'm told.
A car is traveling at a speed of 75 km/h. Compute the speed of the car in m/s.
A.5.6m/s
B.12.5m/s
C.20.8m/s
D.208m/s
Cindy is preparing for a 25-mile charity run hosted by her school's Athletic Club on their home track. In preparation for the run, Cindy has been running in 25-lap sets, recording her lap times as she goes. Cindy feels that she is very well prepared for the run. Looking at her scores, she can see that at least 75% of them are 90 seconds or better, with some as good as 82 seconds. But, she also knows that she has a couple of poor times, one as low as 102 seconds, that will make her total time a bit worse. To further analyze her lap times, Cindy would like to organize them in a box-and-whisker plot. Which of the following plots is most like what Cindy should expect to see, based on what she already knows?
What is the approximate value of x?
Answer:
The answer is 17.
Step-by-step explanation:
Let the number plotted be x.
The point plotted on number line is slightly more than 4.
And this number is the square root of x.
We know that [tex]\sqrt{16}[/tex] is 4.
And the given point is close to 4 or square root of 16.
So, the best possible and closest answer is 17.
The square root of 17 is 4.123.
Therefore, the answer is 17.
62 is 112% of what number? find the base and round to the nearest hundredth
Answer: Hello there!
if 62 is the 112% of some number, this means that if the number is x; then the 100% of this number is x, and the 112% of this number is x + 0.12*x = 1.12*x
then this means that 62 = 1.12x
now we want to find the number x:
62 = 1.12x
x= 62/1.12 = 55.35714
now we need to round it to the nearest hundredth:
the hundredth place is the second number after the decimal point, in this case, is a 5, and we want to round it; if the next number is 5 or bigger, we round up, if it is less than 5, we round down.
We can see that the next number is a 7, so we should round up; then our number x is: 55.36
Factor completely 3y^4 - 2y^2 - 5
How many subsets does set a have if the set a has 3 elements? 3 6 8?
This should help
Let's say Set A = {1,2,3}, Set A can have subsets of:
{1}, {2}, {3}, {1,2}, {1,3}, {2,3}
And so there is 6 subsets.
Devonte used the change of base formula to approximate log8 (21). Which expression did Devonte use?
Answer:
[tex]log_8(21)=\frac{log21}{log8}[/tex]
Step-by-step explanation:
Given : Log expression [tex]log_8(21)[/tex]
To find : Write the expression using the change of base formula.
Solution :
Logarithmic change of base rule formula is
[tex]log_ab=\frac{log_eb}{log_ea}[/tex]
Now, using logarithmic rule in [tex]log_8(21)[/tex]
where a=8 and b=21
[tex]log_8(21)=\frac{log_{10}21}{log_{10}8}[/tex]
[tex]log_8(21)=\frac{log21}{log8}[/tex]
Therefore, The expression Devonte use [tex]log_8(21)=\frac{log21}{log8}[/tex]
What is the radius of Circle C?
The radius of a circle in Euclidean geometry is the distance from its center to any point on the circumference, and it can be calculated by dividing the circumference by 2π. In physics, the radius is also the radius of curvature for an object's circular path, determined by position data and the Pythagorean theorem.
Explanation:In mathematics, especially in Euclidean geometry, the radius of a circle is a fundamental concept that refers to the distance from the center of the circle to any point on its circumference.
Referring to the examples provided, one method to find the radius (r) is by understanding the relationship between the circumference of a circle (C) and its radius. In a flat, Euclidean space, the ratio C/r is a constant 2π, where π (pi) is approximately 3.14159. Therefore, if you know the circumference, you can calculate the radius by rearranging the formula to r = C/(2π).
In one of our more practical examples, the radius of curvature is used in the context of circular motion. When dealing with the path of an object in a circular trajectory, the radius of the circle also represents the radius of curvature. For instance, using position data where x = 3 m and y = 4 m, we can use the Pythagorean theorem to find the radius, r = √(3² + 4²) = 5 m.
Understanding these principles is crucial in fields such as physics, where the radius is directly related to calculating velocities and accelerations in circular motions as seen with centripetal acceleration.
The situation that is best modeled by a discrete graph is
Which equation could be used to solve for the length of side c, given a = 5, b = 12, and c = 72°?
Answer:
[tex]c=11.49[/tex]
Step-by-step explanation:
It is given that a = 5, b = 12, and c = 72°, then using the cosine formula, we get
[tex]c^2=a^2+b^2-2abcosC[/tex]
[tex]c^2=(5)^2+(12)^2-2(5)(12)Cos72^{\circ}[/tex]
[tex]c^2=25+144-2(60)(0.309)[/tex]
[tex]c^2=169-37.08[/tex]
[tex]c^2=131.92[/tex]
[tex]c=\sqrt{131.92}[/tex]
[tex]c=11.49[/tex]
Therefore, the value of the length of the side c is 11.49.
Of all numbers x and y whose sum is 50, the two that have the maximum product are xequals=25 and yequals=25. that is, if xplus+yequals=50, then xequals=25 and yequals=25 maximize qequals=xy. can there be a minimum product? why or why not?
x + y = 50
Q = x * y
Combining the two:
Q = x * (50 - x)
Q = 50x - x^2
Q = -x^2 + 50x
Q = -(x^2 - 50x)
Q = -(x^2 - 2 * 25x + 25^2 - 25^2)
Q = 25^2 - (x - 25)^2
Q = 625 - (x - 25)^2
So what we got is an equation for parabola with a vertex at
(25 , 625) and it opens downward. We know that parabolas only have one critical
value, so if x and y are unrestricted, then there's no minimum product.
No, there cannot be a minimum product. The product of two numbers is maximized when the numbers are equal or close to each other.
Explanation:The student is asking if there can be a minimum product when x and y are numbers whose sum is 50 and we are trying to maximize the product xy. The answer is no, there cannot be a minimum product. This is because the product of two numbers is maximized when the numbers are equal or close to each other. In this case, when x = 25 and y = 25, the product xy is maximized at 625. If x and y were further apart, the product would be smaller.
Thus,
Q = x * (50 - x)
Q = 50x - x^2
Q = -x^2 + 50x
Q = -(x^2 - 50x)
Q = -(x^2 - 2 * 25x + 25^2 - 25^2)
Q = 25^2 - (x - 25)^2
Q = 625 - (x - 25)^2
what's the pattern for 1,3,5,7,5,3,1,3
The pattern 1,3,5,7... represents odd numbers, as each number cannot be evenly divided by 2.
The correct option is (A).
The pattern 1,3,5,7... represents odd numbers. These numbers are considered odd because they cannot be evenly divided by 2. Every number in the sequence is one greater than an even number, which means adding 1 to an even number gives you an odd number. For instance, the number 1 is odd because 0 (an even number) plus 1 equals 1. Similarly, 2 (which is even) plus 1 equals 3, and so on. This pattern of numbers is used to represent all numbers that, when divided by 2, have a remainder of 1.
complete question given below:
The pattern 1,3,5,7... represents numbers.
A.odd
B.even
C.whole
Which rigid transformation does NOT result in reversed orientation of the original image?
If f(x) = x + 8 and h(x) = 3x − 3, find a function g such that g ∘ f = h.
Help me please I don't understand
A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?
Find x if segment A B is perpendicular to segment C D in the figure below.
The value of the segment 'x' is 9° as ∠ABC is a right angle.
What is a right angle?When the value of an angle is 90°, then it is called right angle.
Here, AB is perpendicular to CD.
Therefore, ∠ABC = 90°.
Again, ∠ABC = (7x + 27)° = 90°.
Therefore, 7x + 27 = 90
⇒ 7x = 63
⇒x = 9
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A loaf of bread costs $1.79. how much would five loaf costs?
Answer:
8.95
Step-by-step explanation:
Because 1.79x5=8.95 You can look it up too
:)
Find the probability of pulling a yellow ball out of a box if the box contains two red balls, three yellow balls, and one green ball. A. 1/4 B. 1/3 C. 1/2 D. 3/4
1.) 2x + y = 3
2.) x - 2y = -1
If equation 1 is multiplied by 2 and then the equations are added, the result is
3x = 2
3x = 5
5x = 5
PLEASE HELP Which is the equation of a line that is parallel to the line represented by y=3/4x-1/2?
What!!!?!?! Could someone help me with the first two I don't understand and it's due tomorrow
Please answer the question please
Find the coordinates of the midpoint of the segment with the given endpoints a (5,4), b (-3,2)