The possible vertices of the right triangle are (-3, -2) and (-1, -2).
Option C and D are the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The points (-3, 2) and (1, 2) have the same y-coordinate, which means that they lie on a horizontal line.
The distance between these two points is 4 units, which is the length of the leg of the right triangle that they form.
The only way to form a right triangle using these points is to choose a third point on a vertical line passing through one of these two points.
Option B)
(-1, 4) does not lie on a vertical line passing through either of the given points.
Option C)
(-3, -2) lies on a vertical line passing through the point (-3, 2), so it could be a vertex of the right triangle.
Option D)
(-1, -2) lies on a vertical line passing through the point (1, 2), so it could be a vertex of the right triangle.
Therefore,
The possible vertices of the right triangle are (-3, -2) and (-1, -2).
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What is the greatest common factor of 20y^9 + 5y^6 ?
A. 5y^9
B. 20y^3
C. 5y^6
D. 10y^9
The greatest common factor of 20y^9 + 5y^6 is 5y^6.
Explanation:To find the greatest common factor (GCF) of 20y^9 + 5y^6, we need to determine the highest power of each variable that divides each term evenly. In this case, the highest power of y that can be divided evenly is y^6. The GCF of the two terms is therefore 5y^6.
Which describes simple, solid instruments that produce sound by struck, scraped, or shaken?
A. Aerophones
B. Chordophones
C. Idiophones
D. Membranophones
What is 2/9 rounded to the nearest whole number
A probability experiment is conducted wich of these can not be considered a probability of an outcome: 1.015, 0.995, - 0.234, 45%, 2/3, 0.66, 0.45% Can not be considered: 0.995, 45% Can not be considered: 0.995; 0.66 Can not be considered: 1.015, - 0.234 Can not be considered: 0.995; 0.45%; 2/3
In probability, the probability of an outcome is a value between 0 and 1, inclusive. From your list, 1.015 and -0.234 do not fall within this range and thus can't be considered as valid probabilities, whilst 45%, 0.45%, 0.995, 2/3, and 0.66 are valid probabilities.
Explanation:In probability theory, the probability of an outcome is always expressed as a value between 0 and 1, inclusive. In other words, the minimum probability is 0 (representing an event that will not occur) and the maximum is 1 (representing an event that is certain to occur). Probabilities can also be represented as fractions, percentages, or decimal numbers that fall within this range.
Looking at your list, 1.015 and -0.234 cannot be considered valid probabilities, because they fall outside the 0 to 1 range. All percentages should also be converted to decimals before comparison, meaning that 45% is equivalent to 0.45 and is a valid probability, while 0.45% is equivalent to 0.0045 and is also valid. Similarly, 2/3 and 0.66 are valid probabilities because they lie within the 0-1 range.
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Please help!! Adding and subtracting radicals.
Jordan bought a notebook for $5, 6 pencils for $1 each, and a binder for $9. The sales tax for the whole purchase was $2. What percent was the sales tax?
The tables below show four sets of data: Set A x 1 2 3 4 5 6 7 8 9 y 10 9 8 7 6 5 4 3 2 Set B x 1 2 3 4 5 6 7 8 9 y 3 4 5 6 7 8 9 10 11 Set C x 1 2 3 4 5 6 7 8 9 y 8 6 5 4 3.5 3 2.5 2 2 Set D x 1 2 3 4 5 6 7 8 9 y 1 2.5 2.5 3 4 5 6 8 9 For which set of data will the scatter plot represent a positive nonlinear association between x and y? (1 point) Set A Set B Set C Set D
The set C shows a positive nonlinear association between x and y
How to determine the set that shows a positive nonlinear association between x and y?The set is given as:
Set A
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
For the set to represent a non linear association, then the variables increases or decreases as the other variable changes but the direction must form a curved pattern.
Sets A, B and D are linear asociation because the output variables increases or decrease as the input variable increases
Hence, the set C shows a positive nonlinear association between x and y
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a number multiplied by -8, subtracted from the sum of 14 and five times the number
Let us suppose the number is x. Now we try to make an algebraic expression going step by step.
Step 1:
Five times the number means 5 multiplied by x.
So it becomes 5x.
Step 2:
Sum of 14 and five times the number means 5x+14.
Step 3:
Number multiplied by -8 means -8x.
Step 4:
Subtract the expression in step (3) from expression in step (2)
5x+14-(-8x)
Now we can simplify it further,
5x+14+8x
Combining like terms,
13x+14
Answer: The final expression becomes 13x+14.
write 10 21/40 as a decmial
Números que multiplicados den 40
does anyone know what 13g=26
Write an equation that you can use to solve for x. Enter your answer in the box. Two lines intersect at a point, forming two adjacent angles. One adjacent angle is labeled x degrees and the other adjacent angle is labeled 47 degrees.
Answer: The value of x is 133°.
Step-by-step explanation:
Since we have given that
Two lines intersect at a point forming two adjacent angles.
Measure of one adjacent angle is labeled as = x degrees
Measure of other adjacent angle is labeled as = 47 °
We need to find the value of x in degrees.
As shown in the figure:
Since they are adjacent angles.
So, we can write it as
[tex]x+47^\circ=180^\circ\\\\x=180^\circ-47^\circ\\\\x=133^\circ[/tex]
Hence, the value of x is 133°.
how could you use the conversion table on page 618 to convert 700 cenimeters to meters
How can you insert two radical signs in the following problem to make it true? 5 = 4 + 4 = 4⁄4
A triangle has two sides that measures 7 cm which of the following cannot be the measure of the third side
What is the slope of the line represented by the points in the table?
X / Y
-2 / -0.35
-1 / -0.3
0 / -0.25
1 / -0.20
2 / -0.15
The figure shown at the right is known as pascal triangle
The sandbox at the playground is 2 feet tall. The area of the base of the sandbox is 80 square feet
Answer:its 160 cubic feet hope it helps;)
Step-by-step explanation:
A number cube has sides numbered 1 through 6. The probability of rolling a 2 is 16 .
What is the probability of not rolling a 2?
Enter your answer as a fraction, in simplest form, in the box.
Answer: The probability of not rolling a 2 is [tex]\dfrac{5}{6}.[/tex]
Step-by-step explanation: Given that a number cube has sides numbered 1 through 6. And the probability of rolling a 2 is [tex]\dfrac{1}{6}.[/tex]
We are to find the probability of not rolling a 2.
Let, 'A' denotes the event of rolling a 2.
So, we have
[tex]P(A)=\dfrac{1}{6}.[/tex]
The event of not rolling a 2 is given by the complement of event A.
The probability of the complement of event 'A' can be calculated as
[tex]P(A')=1-P(A)=1-\dfrac{1}{6}=\dfrac{5}{6}.[/tex]
Thus, the probability of not rolling a 2 is [tex]\dfrac{5}{6}.[/tex]
If p=>q and q=> r, which statement must be true?
The condition 'p implies q' and 'q implies r' logically leads to the conclusion that 'p implies r' due to the transitive property of logical arguments, which forms a valid chain argument called syllogism.
Explanation:Given two conditional statements p⇒q and q⇒r, we can deduce another conditional statement that must logically be true. When p implies q (p⇒q), and q implies r (q⇒r), we can conclude that p⇒r is also true. This is known as the transitive property in logic.
Chain argument or syllogism is a logical argument where a series of premises leads to a conclusion. Using this, when p happens before q, and q precedes r, it follows that p must also lead to r. Therefore, we can construct a logical chain: p⇒q⇒r, resulting in p⇒r.
The diameter of the attic is 18ft and its height is 18ft. What's is the volume of the space in the attic
A rectangular prism has a volume of 144 cm3. The base is a square with a length of 4 cm. What is the height of the prism?
Answer:
9cm is your height. I found it by multiplying 4 to itself to get 16 then dividing it by 144 to get 9.
Step-by-step explanation:
Allegra practices piano each day after school. Last week she practiced 3 3/10 hours. This week she practiced only 2 1/6 hours. How much longer did she practice last week than this week?
Ricardo found the mean and mode of the data set 34, 23, 17, 77, 23, 35, and 36. If he excluded the outlier, what would happen to the measures of central tendency?
A.) The mode would decrease and the mean would stay the same.
B.) The mean would increase and the mode would stay the same.
C.) The mode would increase and the mean would stay the same.
D.) The mean would decrease and the mode would stay the same.
how much is sales tax
identify each angle pair as adjacent, vertical, or neither...?
Could someone please help
How do you know how many solutions there are to a linear systems of equations?
△ABC is reflected to form △A′B′C′ . The vertices of △ABC are A(-1, 3) , B(2, 4) , and C(-5, 6) . The vertices of △A′B′C′ are A′(3, −1) , B′(4, 2) , and C′(6, −5) . Which reflection results in the transformation of △ABC to △A′B′C′ ?
A. reflection across the x-axis
B. reflection across the y-axis
C. reflection across y = x
D. reflection across y=−x
Answer:
→△ABC is reflected to form △A′B′C′ .
→→Vertices of △ABC are A(-1, 3) , B(2, 4) , and C(-5, 6) and the vertices of △A′B′C′ are A′(3, −1) , B′(4, 2) , and C′(6, −5) .
Drawing the two images of ΔABC and ΔA'B'C'on two Dimensional Coordinate Plane
When, reflection takes place,the two, Image, and Pre-Image are Congruent, that is neither the shape nor the Size changes only translation of the shape takes place on the coordinate plane.
Option C: → Reflection across y = x.
Answer:
C. reflection across y = xStep-by-step explanation:
The given transfomation is
[tex]A(-1,3) \implies A'(3,-1)\\B(2,4) \implies B'(4,2)\\C(-5,6) \implies C'(6,-5)[/tex]
Notice that the rule of the given transformation is
[tex](x,y) \implies (y,x)[/tex]
That is, the coordinates were change of position, like an inverse.
According to transformation rules, this represents a reflection across the line [tex]y=x[/tex].
Therefore, the right answer is C.
A scientist is measuring the amount of radioactive material in an unknown substance. When he begins measuring, there are 56.8 grams of radioactive substance. Twelve days later, there are 55.45 grams. After 25 days, there are 54.03 grams. After 41 days, there are 52.32 grams. Assuming that the decay is exponential, find the equation that determines the number of grams remaining after x days and use the equation to determine the amount of radioactive material remaining after 500 days.
2.21 g
12.65 g
2.25 g
20.88 g