A line has the following standard equation form:
y = m x + b
where m is the slope and b is the y intercept
So if Ariel cannot find the slope, then this would only mean that m = 0, there is no slope. And hence the line is either a straight vertical line or straight horizontal line.
Answer:
There is no slope
Given only the information that a line has x and y intercepts and a positive slope, Ariel cannot directly calculate the slope without knowing the exact values of the intercepts. Knowledge of two distinct points on the line is necessary for calculating the slope.
Explanation:Ariel was told the x intercept and the y intercept of a line with a positive slope. Yet, it was impossible for Ariel to find the slope of the line. What can you conclude about this line? If given only the x and y intercepts without the exact numeric values or additional points, determining the slope directly is challenging because the slope formula, Δy/Δx (change in y over change in x), requires knowledge of at least two distinct points on the line (other than the intercepts without their exact values). However, knowing that a line has both an x and a y-intercept implicitly indicates it is neither vertical nor horizontal, and stating it has a positive slope provides a general direction of the line's angle relative to the axes.
To find the slope, you generally need the coordinates of two distinct points on the line. For instance, if the y-intercept is given as (0, b) and the x-intercept as (a, 0), the slope m can be found by the difference in y values divided by the difference in x values, or (0 - b) / (a - 0) = -b/a. But without knowing a and b's exact values, Ariel cannot calculate the numeric value of the slope. This indicates a limitation in calculating slope with incomplete information about the intercepts' exact numerical values but not an inherent impossibility of the line to have a determinable slope if such values were known.
F. determine if (x + 3) is a factor of (x) = 2x3 + x2 –8x + 21 by using synthetic division. if so, find the other factors.
HOW many times can times 6 go into 59
He length of a rectangle is six times its width. if the perimeter of the rectangle is 70 in , find its area.
The sum of two numbers is 35 . the smaller number is 19 less than the larger number. what are the numbers?
please help. !!!!!!!!
is it possible to draw three lines in two planes such that all three lines are skew?
Answer with explanation:
→Two lines in three dimensional plane are said to be Skew if they are neither parallel nor Intersecting.
→Skew lines can be drawn in three dimensional plane only.
→Drawn two skew lines in a Plane , and then drawn another line in a plane and found that , they are skew.
⇒Yes, it is possible to draw three lines in two planes such that all three lines are skew.
Skew lines are non-coplanar lines that are not parallel, and they do not intersect.
In a 2D plane, it is not possible to draw three skew linesIn a 3D plane, it is possible to draw three skew linesThe question does not state the type of plane. So, I will answer this question in 2 ways.
(a) 2D plane
Lines in 2D planes can only be drawn in a flat direction.
This means that, when three lines are drawn in the two planes, one of the following would happen.
The three lines would intersectTwo lines would intersectSee attachment for illustration
So, 3 lines in a 2D plane cannot be skewed lines
(b) 3D plane
Lines in 3D planes can only be drawn in several directions.
The above statement imply that:
Several lines can be drawn where none of the lines would be parallel and none of the lines would intersect.
This means that, when three lines are drawn in the two planes, one of the following would happen.
The three lines would intersectTwo lines would intersectNone of the lines would intersectThe third highlight means that:
It is possible to have skew lines in a 3D plane
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A regular hexagon is shown.
What is the length of the apothem, rounded to the nearest inch? Recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon.
4 in.
5 in.
9 in.
11 in.
The length of the apothem of a regular polygon that has a radius of 10 inches would be 9 inches .
What is the apothem of a regular polygon?The apothem of a regular polygon is defined as a line segment from the center to the midpoint of one of its sides.
It is Given that the hexagon has a radius of 10 inches and the length of the radius is equal to the length of each side of the hexagon.
The apothem AB divides the side of the hexagon into two equal parts of 5 Inches.
Using Pythagoras Theorem
[tex]10^2 = 5^2 + AB^2\\AB^2 = 10^2 -5^2\\AB^2 = 100 - 25\\AB^2 = 75\\AB = \sqrt{75}[/tex]
AB = 8.66
So, rounded up, we get the apothem closest to D that is 9 in.
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Which of the following equations represents the perpendicular bisector of WX graphed below?
Thank you! :)
Find the lengths of the missing sides if side a is opposite angle a, side b is opposite angle b, and side c is the hypotenuse.
On which number line do the points represent negative 4 and 1 over 2 and +3?
The length of each side of a square prism is ten ft
Which inequality describes all the solutions to 5(3 - x) < -2x + 6?
A) x < -9
B) x > 3
C) x > 7
The inequality describes the solution to 5(3 - x) < -2x + 6 will be x > 3. The correct option is B.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The given expression 5(3 - x) < -2x + 6 will be solved as below:-
5(3 - x) < -2x + 6
15 - 5x < -2x + 6
-5x + 2x < -15 + 6
-3x < -9
x > 3
Therefore, the inequality describes the solution to 5(3 - x) < -2x + 6 will be x > 3. The correct option is B.
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If 5(x+7)=-3, then 5x+35=-3
Suppose you divide a 52 card deck into its four suits, and draw one card from each suit. what is the probability that you draw two red face cards and the two black aces?
A stop sign is a regular octagon formed by cutting triangles off the corners of a square. if we have a square with sides of length square root 2, what is the side length of the resulting octagon
The side length of the resulting octagon is 2√2.
Explanation:A stop sign is a regular octagon formed by cutting triangles off the corners of a square. To find the side length of the resulting octagon, we can use the Pythagorean theorem. Since the square has sides of length √2, its diagonal can be found by multiplying its side length by √2. This gives us a diagonal length of 2√2. The diagonal of each triangle cut off the corners of the square will be the side length of the resulting octagon. So, the side length of the octagon is 2√2.
Solve 12g=12(2/3g-1)+11
Can you help me solve this proof please?
find the difference without using a calculator 201-72.35
As a student you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your assistance about how many hours would you need to work to earn $8,425
For an hour of assistance if a student charged $10.25 than total number hours a student need to work to earn $8,425 is 821.95 hours and this can be determine by the help of unitary method.
Given :
Charge for 1 hour assistance = $10.25
Total earning through assistance = $8425
In this problem unitary method can be use to determine the total number of hours need to work to earn $8425. In unitary method, single unit value is determine first to evaluate the necessary value by multiplying the single unit value.
For an hour of assistance if a student charged $10.25 than total number hours a student need to work to earn $8,425 can be:
[tex]= \dfrac{8425}{10.25} \times 1[/tex]
= 821.95 hours
So a student need to work a total of 821.95 hours to earn $8425.
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Question 25 the sum of three numbers is 79 . the second number is 9 less than the first. the third number is 2 times the first. what are the numbers?
What do they call the guy who invented the first blue jeans
Answer:
Levi Strauss!
Step-by-step explanation:
By the 1860s, Levi Strauss's blue pants were daily wear for miners and farmers and cattlemen throughout the West. In 1873 he bought, for $69—the price of the patent application — an idea from a Russian immigrant tailor in Reno for making miner's pants stronger by riveting the critical seams.
Hope this helped!
When constructing parallel and perpendicular lines, how are the steps similar
Which of these ratios is NOT in simplest form? 12/5 8/5 7/10 9/15
A one celled organism measures 32 millimeters in a length in a photograph. If the photo has been enlarged by a factor of 100, what is the actual length of the organism? Show your work
Final answer:
The actual length of the organism is 0.32 millimeters, which is obtained by dividing the photograph length (32 mm) by the magnification factor (100).
Explanation:
To determine the actual length of the one-celled organism when the photograph has been enlarged by a factor of 100, we use the formula:
Actual length = Photograph length ÷ Magnification factor
Substituting the given values:
Actual length = 32 mm ÷ 100
Actual length = 0.32 mm
This calculation shows that the actual length of the organism is 0.32 millimeters, which is equivalent to 320 micrometers (320 µm). It's interesting to note that this is well within the size range for many microorganisms, which may require magnification to be seen clearly, such as with a microscope.
Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted.
Let s represent the weight of the boxes that Steven lifted.
Which expression represents the total number of pounds Nathan lifted?
s + 12
12(s+13)
15(s+12)
13(s+12)
Answer:
13(s+12) is your answer
Step-by-step explanation:
Hurry When solving a system of equations, Jared found y = x 10 for one equation and substituted x 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain.
Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
Given information:
Jared found that [tex]y = \dfrac{x} {10}[/tex] for one equation and substituted [tex]\dfrac{x}{10}[/tex] for y in the other equation.
Nicole found [tex]x = y -10[/tex] for the one equation and substituted [tex]y -10[/tex] for x in the other equation.
So, there are two equations. Based on the question, the equation should be,
[tex]x=10y[/tex] and [tex]y-x=10[/tex].
Now, Jared and Nicole have found the value of one variable from one equation and have put it in the other equation.
This method is the substitution method which is used to find the solution of the system of equations.
Therefore, Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
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Help please
Solve for r.
s=2πrh
In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50cm. Find the lengths of all sides.
The coordinates of the vertices of quadrilateral JKLM are J(-3,2), K(4,-1), L(2,-5) and M(-5,-2).
Find the slope of each side of the quadrilateral and determine if the quadrilateral is a parallelogram.
A can of paint is 15 centimeters high and has a ddiameter of 13.6 cm. what is the volue of the can? Round to the nearest tenth.
Answer:
V=πr2h=π·6.8^2·15≈2179.00866
2179 cm^3
Step-by-step explanation: