Answers
Option B is the correct answer.
We need to check which is the line shown in the figure.
What is a line?In geometry, a line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist in two, three, or higher-dimension spaces. The word line may also refer to a line segment in everyday life, which have two points to denote its ends.
Now, from the given figure we can see XZ is a line.
Therefore, option B is the correct answer.
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Related Questions
Rational Exponent
Explain why the square root of a number is defined to be equal to that number to the 1/2 power.
Answers
When we write a radical in exponential form, like writing √x as x^(1/2), we are simply putting the power of the radical in the denominator (bottom number) of the exponent, and the numerator is the power we raise the exponent to, or the power that would be inside the radical.
In our example, √x is really ²√(x¹), or the square root of x to the first power. For this reason, we write it as x^(1/2).
Let's say we wanted to write the cubed root of x squared, in exponential form.
In radical form, it would look like this:
³√(x²) . This means we square x, and then take the cubed root.
In exponential form, remember that we take the power of the radical (3), and make that the denominator of the exponent, and keep the numerator as the power that x is raised to (2).
Therefore, it would be x^(2/3), or x to the 2 thirds power.
Just like when multiplying by a fraction, you multiply by the numerator and divide by the denominator, in exponential form, you raise your base number to the power of the numerator, and take the root of the denominator.
Answer:
Sample Response:
Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
Step-by-step explanation:
Randy is twice as old as his sister jane. together the sum of their ages is 15. how old is randy?
Answers
Final answer:
Randy is 10 years old.
Explanation:
The question is about solving a simple algebraic equation involving ages.
We are told Randy is twice as old as his sister Jane, and the sum of their ages is 15 years.
If we let Jane's age be represented by 'j', then Randy's age would be '2j' as he is twice as old as Jane.
The equation to represent the sum of their ages is:
j + 2j = 15
To find Jane's age, we combine the like terms:
3j = 15
Now, we divide both sides of the equation by 3 to isolate 'j':
j = 15 / 3
j = 5
Therefore, Jane is 5 years old. To find Randy's age, we multiply Jane's age by 2:
Randy's age = 2 * Jane's age
Randy's age = 2 * 5
Randy's age = 10
So, Randy is 10 years old.
What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?
y−1=4(x−3)
y+3=4(x+1)
Answers
I agree with the second answer. Was this correct?
The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?
Answers
204 /6 = 34
29 +31 +33 + 35 +37 +39 = 207
4th number = 35
The fourth number is 35
Lester has sold $51 worth of sports drinks at his concession stand today. Each drink sells for $3. He hopes to sell at least $300 worth of drinks over the course of the entire day. Let x be the number of drinks he will sell over the rest of the day. Which inequality precisely represents the condition of Lester meeting his goal?
A.51 + 3x ≥ 300
B.51 + 3x > 300
C.3x ≥ 300+ 51
D. 3x > 300 + 51
Answers
Since Lester wants a minimum of $300, he needs the amount to be equal to or greater than 300, because if it were any less he would not meet his goal.
> 300
Every drink costs $3, and x represents the number of drinks he needs to sell to get at least $300. Multiplying 3 and x together will give us the rest of the $300 answer.
3x > 300
We cannot forget that Lester already has $51, however, so we will add this to the amount of money from the rest of the drinks he needs to sell.
51 + 3x > 300
This makes A. our final answer. I hope my explanation made sense!
The number 1.258201... can be classified as which of the following? Select all that apply. Real, rational, irrational, whole, integer ,natural
Its a multiple choice question
Answers
The decimal does not terminate and the decimal pattern does not repeat, so the number can not be rationalized.
The number can be classified as both real and irrational
The given number:
= 1.258201
A real number is any number that can represent a distance along a line
A rational number is a real number that can be expressed in form a ratio, it usually have terminating decimals.
An irrational number is any real number that cannot be expressed in form of ratio, it doesn't have terminating or repeating decimals.
A whole number does not contain fractions, it is usually positive integers.
Integers are whole numbers that includes negative and positive numbers.
The given number is a real number but it doesn't contain terminating or repeating decimals. Hence it is irrational number.
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What is the function
Answers
Hope this helps.
The following triangle FOX is transformed using a rotation: Triangle FOX is shown. F is at negative 1, 1, O is at negative 2, 3, X is at negative 3, 0. Which could be coordinates of F'O'X' after the rotation? (4 points)
Answers
The answer is F=(1,1), O=(3,2), X=(0,3)
If y = 2x - 3, then which of the following ordered pairs lies on the graph?
Answers
What is f(-4) if f(x)=|7x-3|
Answers
f(-4) = |7(-4) - 3|
now solve
f(-4) = |-28 - 3|
f(-4) = | -31|
the absolute value of |-31| is 31
so,
f(-4) = 31
Hope this helps :)
f(-4)=|(7(-4)-3|
f(-4)=|-28-3|
f(-4)=|-31|
|-31| means absolute value of -31 which just takes the distance the number is from 0 (or makes it positive if it is negative and leaves it alone if it is positive)
|-31|=31
f(-4)=31
What number is 30% of 150?.
Answers
30% of 50=45
Your answer is 45 because...
150/x=100/30
(150/x)*x=(100/30)*x
150=3.33333333333*x
(3.33333333333) to get x
150/3.33333333333=x
45=x
x=45
Your answer is...
x=45
Calvin cleans 3/5 of his bathroom with 1/3 of a bottle of cleaning solution how much solution would he use if he cleaned the whole bathroom
Answers
_________________________________
Explanation:
______________________________________________
(1/3) / (3/5) = x / (5/5) ; solve for "x" ; in which "x" is the number of bottles used to clean the whole bottle;
Rewrite as:
(1/3) / (3/5) = x / (1) ;
Rewrite as: (1/3) / (3/5) = x ;
{since "x / 1 = x" ; since any value, divided by "1", results in that same value}.
_________________________________________
(1/3) / (3/5) = x
(1/3) / (3/5) = (1/3) * (5/3) = (5*1) / (3*3) = x = 5/9 .
_________________________________
The answer is: "5/9 of a bottle" .
_________________________________
Next, what we have to do is compare the statements. That will be;
3/5 of bathroom=1/3 solution
1=Y
I represented the unknown with Y
Next, you need to cross and multiply. That means 1 will multiply 1/3 to give 1/3 and Y will multiply 3/5 to give 3Y/5. So you will have;
3Y/5=1/3
Cross and multiply again. 5 will multiply 1 to give 5 and 3Y will multiply 3 to give 9Y. That will be;
9Y=5
Divide both sides by 9. That will be;
Y=5/9
The answer is 5/9 of the bottle.
Hope that helped. Have a nice day
A triangle has sides of lengths 6, 2, 7. Is it right triangle?
Answers
All right-angle triangle with the opposite squared + adjacent squared = hypotenuse squared.
6² + 2² ≠ 7²
Therefore the triangle is not a right angle triangle
Answer is B.
50 POINTS! + BRAINLIEST! PLEASE HELP
Answers
slope = rise over run = y/x
A (-1,3) slope = 3/-1 = -3
B (1,2) slope = 2/1 = 2
C (-3,-1) slope = -1/-3 = 1/3
2 lines need to be negative reciprocals in order to be a right triangle
negative reciprocal of -3 is 1/3
so this is a right triangle
Answer: yes it is
Step-by-step explanation: put into a graph and it will become clear
The function f(x) = x2 – 4x + 4 is shifted 3 units to the right to create g(x).
A. g(x) = (x – 3)2 – 4(x – 3) + 4
B. g(x) = (x2 – 4x + 4) – 3
C. g(x) = (x2 – 4x + 4) + 3
D. g(x) = (x + 3)2 – 4(x + 3) + 4
Answers
Answer:
answer is A for APEX..
Step-by-step explanation:
The function f(x) = [tex]x^{2} -4x+4[/tex] is shifted 3 units to the right to create
g(x) = [tex](x-3)^{2}-4(x-3)+4[/tex] .
What is shifting of a function?A shift is a rigid translation in that it does not change the shape or size of the graph of the function. All that a shift will do is change the location of the graph. A vertical shift adds/subtracts a constant to/from every y-coordinate while leaving the x-coordinate unchanged.
Given
f(x) = [tex]x^{2} -4x+4[/tex]
The function f(x) = x2 – 4x + 4 is shifted 3 units to the right to create g(x).
If the function is shifted to the left it is going to plus(+).
If the function is shifted to the right it is going to minus(-).
So, x = x - 3
g(x) = [tex](x-3)^{2}-4(x-3)+4[/tex]
The function f(x) = [tex]x^{2} -4x+4[/tex] is shifted 3 units to the right to create
g(x) = [tex](x-3)^{2}-4(x-3)+4[/tex] .
Option A is correct.
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Jackson can lay 6000 ft² of tile in 3 h. What is Jackson’s tile-laying rate?
Answers
divide 6000 by 3
6000 / 3 = 2000
so he can do 2000 sq ft per hour
The answer by musiclover10045 is correct - 2000 is the answer. I got it right on my quiz.
Un número entero de tres dígitos es igual a 25 veces la suma de sus dígitos. Si los tres dígitos se invierten, el número que resulta excede al número dado por 198.
El dígito de las decenas en uno menos que la suma de los dígitos de las centenas y de las unidades. Encuentra el número.
Answers
Graph each equation by using the x- and y-intercepts
Answers
x intercept = -3 which is the point (-3,0)
y intercept = -3 which is the point (0,-3)
Nice job on getting the correct graph with the correct points.
The sides of a triangle are in the ratio 5:12:13. Describe the length of the shortest side is the perimeter is not more than 120 inches
Answers
Then <= 120 yields 4 times this triple, yielding another triple of 20,48,52
|3x-2|+2y if x=-4,y=7,and z=-9
Answers
Please help!!!
System of Equations Applications
Bill and Cody are selling cookie dough for a school fundraiser. Customers can buy packages of white chocolate chip cookie dough and packages of double chocolate chip cookie dough. Bill sold 9 packages of white chocolate chip cookie dough and 2 packages of double chocolate cookie dough for a total of $200. Cody sold 2 packages of white chocolate chip cookie dough and 13 packages of double chocolate chip cookie dough for a total of $283. find the cost each of one package of white chocolate chip cookie dough and one package of double chocolate chip cookie dough.
Answers
Bill sold 9 for w and 2 for b for a total of 200. So 9w + 2b = 200
Cody sold 2 for w and 13 for b for a total of 283. So 2w + 13b = 283
Lets solve by elimination.
[tex]\begin{bmatrix}9w+2b=200\\ 2w+13b=283\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}9w+2b=200\mathrm{\:by\:}2:\quad 18w+4b=400[/tex]
[tex]\mathrm{Multiply\:}2w+13b=283\mathrm{\:by\:}9:\quad 18w+117b=2547[/tex]
[tex]\begin{bmatrix}18w+4b=400\\ 18w+117b=2547\end{bmatrix}[/tex]
18w + 117b = 2547
-
18w + 4b = 400
/
113b = 2147
[tex]\begin{bmatrix}18w+4b=400\\ 113b=2147\end{bmatrix}[/tex]
[tex]113b=2147 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}113 \ \textgreater \ \frac{113b}{113}=\frac{2147}{113} \ \textgreater \ b=19[/tex]
[tex]\mathrm{For\:}18w+4b=400\mathrm{\:plug\:in\:}\ \:b=19[/tex]
[tex]18w+4\cdot \:19=400 \ \textgreater \ \mathrm{Multiply\:the\:numbers:}\:4\cdot \:19=76 [/tex]
[tex]18w+76=400 \ \textgreater \ \mathrm{Subtract\:}76\mathrm{\:from\:both\:sides} [/tex]
[tex]18w+76-76=400-76 \ \textgreater \ 18w=324 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}18[/tex]
[tex]\frac{18w}{18}=\frac{324}{18} \ \textgreater \ w=18[/tex]
Therefore the cost of the white chocolate chip cookies is $18 and the double choco is $19
Cody:. 2w+13d= $283
2(9w+2d=$200)
-9(2w+13d=$283)
18w+4d=$400
-18w-117d=-$2547
-113d= -2147
d= $19
9w+2(19)=200
9w+38=200
9w= 162
w= $18
double chocolate chip cookie dough:$19
white chocolate chip cookie dough: $18
We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition. We know that m∠ZAB + m∠CAB = 180° by the . We also know m∠CAB + m∠ACB + m∠CBA = 180° because . Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the .
Answers
To prove that m∠ZAB = m∠ACB + m∠CBA, we start with triangle ABC and use the fact that angles in a triangle add up to 180°. Angle ZAB and CAB are a linear pair, so they add up to 180°. By substitution, we can conclude that m∠ZAB = m∠ACB + m∠CBA.
Explanation:To prove that m∠ZAB = m∠ACB + m∠CBA, we start with triangle ABC. Angle ZAB is an exterior angle created by the extension of side AC. Angle ZAB and CAB are a linear pair, which means they add up to 180°. We also know that angle CAB + angle ACB + angle CBA = 180° because the angles in a triangle add up to 180°. Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we can conclude that m∠ZAB = m∠ACB + m∠CBA using the fact that the angles in a triangle add up to 180°.
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When applying for a loan, you should _____.
Answers
sorry if im incorrect
When multiplying numbers in scientific notation you blank the coefficients and substract the exponents?
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[tex]2.3\times10^5\times3.5\times10^7[/tex]
Rearranging the expression, we can group the exponents and coefficients together:
[tex]2.3\times3.5\times10^5\times10^7[/tex]
Multiplying each out, we notice that since [tex]10^5[/tex] and [tex]10^7[/tex] have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:
[tex]2.3\times3.5\times10^{5+7}=8.05\times10^{12}[/tex]
The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and adding its exponents.
which of these ordered pairs is a solution to the inequality 4x+y>-6
Answers
The ordered pair is (1, -1) a solution to the inequality 4x+y>-6. which is the correct answer would be option (C).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We must determine if the inequality holds for a certain set of ordered pairs in order to determine which ordered pairs constitute the answer to the inequality.
We have been given inequality is:
⇒ 4x + y > -6
Option (A) (1, -12)
⇒ 4x + y > -6
Substitute x = 1 and y = -12 in the inequality, we get
⇒ 4(1) + (-12) > -6
⇒ -8 > -6
This is false.
Option (B) (0, -9)
⇒ 4x + y > -6
Substitute x = 0 and y = -9 in the inequality, we get
⇒ 4(0) + (-9) > -6
⇒ -9 > -6
This is false.
Option (C) (1, -1)
⇒ 4x + y > -6
Substitute x = 1 and y = -12 in the inequality, we get
⇒ 4(1) + (-1) > -6
⇒ 3 > -6
This is true.
Hence, the correct answer would be an option (C).
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If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
A. g(x) = x + 6
B. g(x) = x
C. g(x) = 6x
D. g(x) = x – 6
Answers
Answer:
Option D is correct
[tex]g(x) = x-6[/tex]
Step-by-step explanation:
Vertically down :
If y =f(x) is a parent function, then the new function g(x) b units vertically down is, g(x) = f(x) -b.
As per the statement:
Given the parent function:
[tex]f(x) = x[/tex]
To shift linear parent function vertically down 6 units.
By definition we have;
g(x) = f(x) -6
⇒[tex]g(x) = x-6[/tex]
Therefore, the equation of new function g(x) is, [tex]g(x) = x-6[/tex]
Please help me i really need help
Answers
f(10) = 9972.48954
9972.49/12230.59 = .815
1 - .815 = .185
every 5 years it loses 18.5% of it's value.
Julie yard is rectangular.One side of the yard is 100 feet wide. The total area of the yard is 3,000 square feet. What is the length of the other side of the yard?
Answers
Divide area by width to find missing side
3000➗100= 30
The other side is 3O feet .
Zack is purchasing a bag of apples. The cost of apples is proportional to the weight of the apples in pounds as shown on the graph. Which statements are true about the cost of the apples?
Which statements are true about the cost of the apples?
Select each correct answer
1 lb of apples will cost Zack $2.50.
10 lb of apples will cost Zack t $4.
4 lb of apples will cost Zack $10.
2.5 lb of apples will cost Zack $1.
Answers
Answer:
1 lb of apples will cost Zack $2.504 lb of apples will cost Zack $10Step-by-step explanation:
The graph axesand common sense tell you that each ordered pair represents ...
(weight, cost)
So the ordered pairs (1, 2.50) and (4, 10) mean ...
1 lb of apples will cost Zack $2.50
4 lb of apples will cost Zack $10
A and C should be the correct answers if I'm not mistaken
Let f(x)=8^x.
Which function represents a transformation of f(x) by a vertical stretch with factor 2??
A- g(x)=1/2*8^x
B- g(x)=8^2x
C- g(x)=2*8^x
D- g(x)=8 1/2^x
Please help and give reasoning with your answer. I’m very unsure.
Answers
The function that represents a vertical stretch of factor 2 of f(x) = 8^x is g(x) = 2 * 8^x.
Explanation:The function that represents a vertical stretch of factor 2 of the function f(x) = 8^x is g(x) = 2 * 8^x.
To understand why, consider that a vertical stretch by a factor of 2 means that every y-coordinate in the graph is multiplied by 2. So, if we want to stretch the function f(x) = 8^x vertically by a factor of 2, we multiply the function by 2 to get g(x) = 2 * 8^x.
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