The triangle JKL shown on the coordinate grid below is reflected once to map onto triangle J'K'L': Triangle JKL is drawn on a 4 quadrant coordinate grid with vertices J is at 8, 1. K is at 5, 7. L is at 3, 4. If vertex L' is at (−3, 4), what are the coordinates of vertex J'?
Answers
(1, −8)
(−8, 1)
(−1, 8)
(8, −1)
Answer:
The vertex J' is at (-8,1).
Step-by-step explanation:
If is given that the triangle JKL reflected once to map onto triangle J'K'L'.
The vertices of the triangle JKL are J(8,1), K(5,7) and L(3,4). The vertex L'(-3,4).
[tex]L(3,4)\rightarrow L'(-3,4)[/tex]
It is in the form of
[tex](x,y)\rightarrow (-x,y)[/tex]
Since the y-coordinate remains same and the sign of x coordinate is changed. It shows the reflection across the y axis.
The vertices of image are,
[tex]K(5,7)\rightarrow K'(-5,7)[/tex]
[tex]J(8,1)\rightarrow J'(-8,1)[/tex]
Therefore the vertex J' is at (-8,1).
Related Questions
The volume of oil in four different containers is shown below: container
a.5.25 milliliters container
b.5.29 milliliters container
c.5.27 milliliters container
d.5.23 milliliters sue has a measuring cup that can measure to the nearest tenth of a milliliter. if sue measures the oil in each container, the least amount of oil would measure ____ milliliters.
Answers
What we have right now:
*A 5.25 milliliters container.
*A 5.29 milliliters container.
*A 5.27 milliliters container.
*A 5.23 milliliters container.
*Sue's measuring cup that can measure to the nearest tenth of a milliliter.
What we need to do:
*Find out the least amount of oil after Sue used her measuring cup to measure each oil container.
Solution:
Container A: 5.25mL ---> 5.3mL
Container B: 5.29mL ---> 5.3mL
Container C: 5.27mL ---> 5.3mL
Container D: 5.23mL ---> 5.2mL <---- This is what we are looking for!
Therefore, the correct answer and the container which has the least amount of oil is: D. 5.23 milliliters container.
I hope this helped you :>
Answer:
5.2
Step-by-step explanation:
angle ABD and angle DBC are supplementary. Find the value of x.
A. 6
B. 8
C. 4
D. 10
Answers
so
14x+8x+4 = 180
22x = 176
x = 8
answer B. 8
In how many different ways can five elements be selected in order from a set with three elements when repetition is allowed?
Answers
There are 243 ways to select five elements in order from a set of three elements with repetition allowed.
When selecting five elements in order from a set with three elements and repetition is allowed, each selection can include any of the three elements, repeated as necessary. Here's the breakdown:
1. For the first position, there are 3 choices.
2. For the second position, there are also 3 choices, as repetition is allowed.
3. Similarly, for the third, fourth, and fifth positions, there are 3 choices each.
To find the total number of ways, we multiply the number of choices for each position:
3 choices for the first position × 3 choices for the second position × 3 choices for the third position × 3 choices for the fourth position × 3 choices for the fifth position = [tex]\(3^5 = 243\)[/tex] ways.
Therefore, there are 243 different ways to select five elements in order from a set with three elements when repetition is allowed.
The correct naswer is 21.
The number of ways to select five elements in order from a set with three elements when repetition is allowed can be represented in LaTeX as:
[tex]\binom{5+3-1}{5} = \binom{7}{5} = \frac{7!}{5!(7-5)!} = \frac{7!}{5!2!} = 21[/tex]
Explanation:
- When repetition is allowed, the problem can be treated as finding the number of ways to arrange 5 objects with 3 distinct types.
- This can be solved using the combination formula, where we choose 5 positions out of 7 (5 elements + 3 distinct types - 1).
- The binomial coefficient [tex]\binom{n}{r}[/tex] represents the number of ways to choose [tex]$r$[/tex] items from a set of [tex]$n$[/tex] items.
- In this case, we are choosing 5 positions (elements) from a set of 7 positions (5 elements + 3 distinct types - 1).
- The binomial coefficient can be expanded using factorials: [tex]\binom{n}{r} = \frac{n!}{r!(n-r)!}[/tex]
- Substituting [tex]n = 7$ and $r = 5[/tex], we get[tex]\binom{7}{5} = \frac{7!}{5!(7-5)!} = \frac{7!}{5!2!} = 21[/tex]
Therefore, there are 21 different ways to select five elements in order from a set with three elements when repetition is allowed.
Evaluate.
8m - 4 + 3n
n = 5 and m = 2
Answers
= 8*2 - 4 + 3*5
= 16 - 4 + 15
= 27 ← answer
Put in the number as the variables
8(2)-4+3(5)
16-4+15
12+15=27
For an angle θ with the point (–20, –21) on its terminating side, what is the value of cosine?
Answers
Answer:
-20/29
Step-by-step explanation:
Is the square root of 12 - 2 rational or irrational
Answers
hope this helps???
WILL GIVE BRAINLIST!!!!!!!!!!!!!! A group of students were surveyed to find out if they like working as a camp counselor and/or as a lifeguard during summer break. The results of the survey are shown below:
32 students like working as a camp counselor
8 students like working as a camp counselor but do not like working as a lifeguard
29 students like working as a lifeguard
8 students do not like working as a lifeguard or a camp counselor
Four students created the tables below to represent the data. CC represents camp counselor and LG represents lifeguard.
Which student's table is correct?
Answers
Answer:
I think Table C - Corralle
Answer:
c
Step-by-step explanation:
HELP!!!!!!! I GIVE BRAINLEST AND THANKS!!!!!! + 5 POINTS!!!!
Answers
Remember that the x values are the ones on the left in an ordered pair. Because each one is unique, the relation is a function in this case.
Final answer: B
the answer to number 3
Answers
First factor out the 3 in front of x^2:
3( x^2 + x - 2 )
Now we can look at the inside of the brackets, and find two numbers that, when multiplied, give -2, and when added, give +1. You will usually find them if you create a list of factors of the constant term (-2 in this case).
2 * -1 = -2
2 + -1 = 1
So the factorization becomes 3(x+2)(x-1)
If h(x)=6-x, what is the value of (h o h)(10)
Answers
Find the probability of drawing a king from a standard deck of cards and then drawing a queen after the first card is replaced in the deck. None of the above 1/26 1/13 1/2704 2/13
Answers
52 cards in a deck
4 kings
4 queens
King = 4/52 reduces to 1/13
Queen = 4/52 reduces to 1/13
1/13 *1/13 = 1/169
so none of the above
P(K,Q)=(1/13)(1/13)
P(K,Q)=1/169
So none of the above.
A circle of radius 1 centered at (4, 0) is rotated about the y-axis.
1) Draw a picture of the three-dimensional shape that is produced when the circle is rotated about the y-axis.
2) In two or more complete sentences, describe the three-dimensional shape.
please help and thank you.
Answers
Answer to part 2)
By rotating a circle on the y-axis we obtain a solid shape called TORUS. This shape is like a pipe with its two ends joined. In older literature, it is called 'anchor ring' as its shape does look like a ring.
If a train travels one mile (5,280 feet) while climbing a hill at an angle of five degrees, approximately how many vertical feet has the train climbed?
Answers
to calculate the vertical height multiply the hypotenuse ( 5280) by the sin of the angle (5)
5280 x sin(5) = 460.1823
round off to 460 feet
How to factor 2p^4+9p^3-18p^2
Answers
p^2(2p^2+9p-18)
Apply slip and slide to inner trinomial
p^2+9p-36
(p+12)(p-3)
(p+12/2)(p-3/2)
(p+6)(2p-3)
Final answer:
p^2(2p-3)(p+6)
A lawn mower manufacturer incurs a total of $34,816 in overhead costs and $388 per lawn mower in production costs. How many lawn mowers were manufactured if the average cost of production is $660?
Answers
I hoped I helped and if you need more you could always ask me :)
-Dawn
Answer:
128 lawn mowers
Step-by-step explanation:
Given,
The overhead cost = $ 34,816,
The cost for one lawn mower = $ 388,
Let x be the number of lawn mowers manufactured,
So, the total cost of x lawn mowers = 34816 + 388x,
Now, if the average cost of x mowers = $ 660,
So, the total cost = 660x
[tex]\implies 660x = 34816 + 388x[/tex]
[tex]660x - 388x = 34816[/tex]
[tex]272x= 34816[/tex]
[tex]\implies x = \frac{34816}{272}=128[/tex]
Hence, 128 lawn mowers were manufactured.
According to the text, which is not a main component of drawing?
Perspective
Vanishing point
Horizon
Answers
12.5% of what is 130?
Answers
Find the domain of the following piecewise function
Answers
see, we have -1≤x<0 and 0≤x<5
so if it is in the range of -1 to 5, then it is in the function
it includes -1 but not 5 because we gots -1≤x but x<5
remember, in interval notation, [] is includes and () is not include
or
[] is ≤≥ and () is <>
so
[-1,5)
Perform Gauss-Jordan elimination on the augmented matrix shown.
Could someone please help me figure this out.
Answers
Basing from the visual you provided, it can be observed that item A, item B, item C, and item D have already undergone "row operations". Therefore, to complete Gauss-Jordan elimination, all we need to do is to transform row echelon A, row echelon B, row echelon C, and row echelon D such that each element they have separately become roots of their respective linear equations.
For A:
x = 2; y = (not sure if it is -1 or -7, the visual is too blurry for me to see)
For B:
x = ; y = -1
For C:
x = 0; y = 0
For D:
x = -(26/3); y = -7
I hope this helped you!
Read the following statement: If the sum of two angles is 90°, then the angles are complementary. The hypothesis of the statement is:
there are two angles.
the sum of two angles is 90°.
the angles are complementary.
Angles are complementary if their sum is 90°.
Answers
The hypothesis in the given mathematical conditional statement 'If the sum of two angles is 90°, then the angles are complementary.' is 'the sum of two angles is 90°'.
Explanation:In a conditional statement in mathematics, the 'if' part of the statement is called the hypothesis and the 'then' part is termed the conclusion. Given the statement 'If the sum of two angles is 90°, then the angles are complementary.', the hypothesis of this statement is 'the sum of two angles is 90°'.
Learn more about Hypothesis here:https://brainly.com/question/39619836
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In a conditional statement, the hypothesis is the condition that needs to be met. In this case, the hypothesis of the statement 'If the sum of two angles is 90°, then the angles are complementary,' is 'the sum of two angles is 90°.'
Explanation:In the context of the given conditional statement, 'If the sum of two angles is 90°, then the angles are complementary,' the hypothesis refers to the clause immediately after 'if.' This indicates the condition that needs to be fulfilled for the conclusion to be considered valid. Therefore, the hypothesis for this statement is 'the sum of two angles is 90°'.
After the 'if,' the hypothesis is given, and after the 'then,' you find the conclusion. The conclusion in this case is 'the angles are complementary.'
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A gas station is 12 kilometers away. How far is the gas station in miles? Use the following conversion: 1 mile is 1.6 kilometers.
Answers
Factor the polynomial.
4x7+32x+5-24x^4
A. 4x^4(x^3+8x-6)
B. 2x^4(2x^3+16x-12)
C. 2x^4(x3+8x-6)
D. 4x^4(2x^3+16x-12)
Answers
As for the variables, the values are x^7, x^5, and x^4. The GCF is x^4
To factor this expression take out 4x^4 from each of the terms.
Coefficients should be divided by four and exponents should be subtracted by 4 since they have the same base (x).
The answer here is A.
Sherita’s club is selling grapefruit to raise money. For every box they sell, they get $1.35 profit. They have sold 84 boxes already. How many more boxes must they sell to raise 270 dollars
Answers
to get to 270 they need 270-113.4=156.6
156.6/1.35=116 boxes
14÷420 long division
Answers
Assume that month is an int variable whose value is 1 or 2 or 3 or 5 ... or 11 or 12. write an expression whose value is "jan" or "feb or "mar" or "apr" or "may" or "jun" or "jul" or "aug" or "sep" or "oct" or "nov" or "dec" based on the value of month. (so, if the value of month were 4 then the value of the expression would be "apr".).
Answers
The expression that satisfies the given condition is using if-else conditional statements to check the value of the variable 'month' and assign the corresponding month name.
Explanation:The expression that satisfies the given condition is:
if (month == 1) { answer = "jan"; } else if (month == 2) { answer = "feb"; } else if (month == 3) { answer = "mar"; } // ... continue this pattern for the remaining months
This code uses conditional statements (if-else) to check the value of the variable 'month' and assigns the corresponding month name to the variable 'answer'.
Learn more about Conditional Statements here:https://brainly.com/question/36974334
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1. Explain a method of determining the correct degree and classification of a polynomial.
2. Why is the polynomial, 4x^2y + 5xy classified as a 3rd degree binomial?
Answers
So the polynomial, 4x²y + 5xy is classified as a 3rd degree binomial because the first term, 4x²y has a variables x² and y. The x² has an exponent 2 and y has an exponent 1. Adding the two makes it three.
what is the value of the fourth term in a geometric sequence for which a1=15 and r=1/3
express your answer as a fraction
Answers
4th term = 15* (1/3)^3 = 15/27 = 5/9
Answer: The required fourth term in the given geometric sequence is [tex]\dfrac{5}{9}.[/tex]
Step-by-step explanation: We are given to find the fourth term of a geometric sequence with the following first term and common ratio :
[tex]a=15,~~r=\dfrac{1}{3}.[/tex]
We know that
the nth term of a geometric sequence with first term a and common ratio r is given by
[tex]a_n=ar^{n-1}.[/tex]
Therefore, the forth term of the given geometric sequence is
[tex]a_4=ar^{4-1}=ar^3=15\times\left(\dfrac{1}{3}\right)^3=15\times\dfrac{1}{27}=\dfrac{5}{9}.[/tex]
Thus, the required fourth term in the given geometric sequence is [tex]\dfrac{5}{9}.[/tex]
eight times the sum of a and b
Answers
The question concerns a basic algebraic expression 'eight times the sum of a and b' which is represented as 8(a + b). The expression emphasizes the operation order: sum first, then multiply, which results in a value eight times greater than the original sum.
Explanation:The question 'eight times the sum of a and b' is a mathematical expression that can be represented as 8(a + b). This expression means you first add the numbers 'a' and 'b' and then multiply their sum by eight. The result you get after the multiplication will be eight times greater than the original sum of 'a' and 'b'. For instance, if 'a' is 2 and 'b' is 3, their sum is 5, and when this is multiplied by eight, it becomes 40, which is the desired expression's value.
To understand this concept further, we can refer to the exponentiation rule mentioned, which states that (xa)b = xa.b. Although this is a different type of operation—exponentiation—it demonstrates a similar principle of first performing the operation inside the parentheses and then applying the outside operation.
Finally, when performing algebraic operations, it's essential to remember that whatever you do to one side of the equation, you should do to the other side to maintain balance. This is a fundamental principle in algebra that helps to solve equations, such as the example provided showing how to isolate 'a' by subtracting 'x' from both sides of the equation a b.
What numbesr can be multiplied and added to equal the same number?
Answers
2
2x2 = 4
2+2 =4
0
0x0=0
0+0=0
What does it mean when a greater than sign is underlined?
Answers
for example,
x [tex] \geq [/tex] 10
so the solution for "x" is greater than or equal to 10
hope this helps!
An underlined greater than sign in mathematics represents a strict inequality, indicating that one value is significantly greater than another.
Explanation:In mathematics, an underlined greater than sign usually represents an inequality. When a greater than sign (>) is underlined, it indicates a strict inequality, meaning that the value on the left side is significantly greater than the value on the right side.
For example, if we have the underlined inequality 5 > 3, it means that 5 is larger than 3 and there is a clear distinction between the two values.
It's important to note that this is just one possible interpretation of an underlined greater than sign, as the context in which it is used can vary.