AB is dilated by a scale factor of 3 to form AB . Point O is the center of dilation, and point O lies on AB . If the slope of AB is 3, what can be said about line A'B' ?
A. The slope of is 6, but does not pass through O.
B. The slope of is 9, and passes through O.
C. The slope of is 9, but does not pass through O.
D. The slope of is 3, and passes through O.
E. The slope of is 3, but does not pass through O.
Answers
Option: D is the correct answer.
D. The slope of is 3, and passes through O.
Step-by-step explanation:It is given that:
AB is dilated by a scale factor of 3 to form AB .
Also, the line AB pass through the origin.
So, if AB pass through (0,0) and some point (x,y) then the slope of line AB is:
[tex]Slope=\dfrac{y-0}{x-0}\\\\i.e.\\\\Slope=\dfrac{y}{x}=3[/tex]
( Since, it is given the slope of AB is 3 )
Now , if AB is dilated to A'B' by a scale factor of 3 then
(0,0) → (0,0)
and
(x,y) → (3x,3y)
i.e. (0,0) and (3x,3y) will lie on A'B'.
Hence, the slope of line A'B' is given by:
[tex]Slope=\dfrac{3y-0}{3x-0}\\\\i.e.\\\\Slope=\dfrac{3y}{3x}\\\\i.e.\\\\Slope=\dfrac{y}{x}=3[/tex]
Hence, both have the same slope.
The answer is : Option: D
Answer:
Step-by-step explanation:
Related Questions
Matthew can buy an 8-ounce jar of salsa for $2.85 or a 15-ounce jar of salsa for $5.65. Which jar is the best buy and what is the unit rate?
Answers
Answer:
The $2.85 jar is the better buy.
Step-by-step explanation:
Start by finding the two separate unit rates. Then compare them:
$2.85
---------- = $0.36/oz
8 oz
$5.65.
----------- = $0.38/oz
15 oz
The $2.85 jar is the better buy, as its unit cost is lower.
Final answer:
The 8-ounce jar of salsa at $0.35625 per ounce is the better buy compared to the 15-ounce jar at $0.37667 per ounce.
Explanation:
The student wants to determine which jar of salsa provides the best value in terms of cost per ounce. To find the unit rate, we need to divide the price of each jar by the number of ounces it contains.
For the 8-ounce jar of salsa:
Unit rate = $2.85 / 8 oz = $0.35625 per ounce
For the 15-ounce jar of salsa:
Unit rate = $5.65 / 15 oz = $0.37667 per ounce
Comparing the unit rates, the 8-ounce jar of salsa has a lower unit rate, making it the better buy.
I don’t understand this somebody explain to me how to do it and the answer I really appreciated
Answers
Answer:
11
Step-by-step explanation:
3/2 y - 3 + 5/3 z
We know the values for y (y=6) and z( z=3), so we can substitute them into the expression
3/2 * (6) - 3 + 5/3 * (3)
Multiply the terms
18/2 - 3 + 15/3
Simplify the fractions
9 - 3 + 5
Simplfiy
6 + 5
11
Which is the best first step when solving the following system of equations?x+y=3 and 4x-y=7
I Need Answer ASAP
Answers
I think it would be x+y=3
Hope this helps
A triangle measures 85 degrees, 128 degrees, and x. Solve for x.
Answers
Answer:
A triangle can have at most angles totalling 180 degrees.
Two angles 85 + 128 total 213 degrees so the triangle cannot exist.
Step-by-step explanation:
Answer:
no solution
Step-by-step explanation:
The sum of the three angles in a triangle adds up to 180 degrees. We know two of the angles, 85 and 128. We are looking for the third, x.
x + 85+128 = 180
Add the like terms
x +213 = 180
This is an impossible problem
x would have to be negative
Sean can spend at most $15.00 on snacks. He has ailready spent s5.00. which inequality could be solved to determine how much money Sean has left to spend on snacks?
Answers
Answer:
https://cougar.collegiate-va.org/cfoster/Mrs._Fosters_Classes/Algebra_1_files/0437_001.pdf
Step-by-step explanation: go to the 3rd page of link
Please help quick!!!
Which table shows a proportional relationship between x and y?
x 1 3 4 5
y 50 150 200 250
x 1 2 3 6
y 1.5 3 6 9
x 3 5 7 8
y 1.5 2.5 3 4.5
x 2 4 5 6
y 6 12 18 21
Answers
Answer:
the most accurate answer would be option 3 relatively speaking
Step-by-step explanation:
A Car Travels m miles in t hours express its average speed algebraically
Answers
Answer:
speed = [tex]\frac{m}{t}[/tex]
Step-by-step explanation:
using the formula that relates distance/ speed/ time
distance = speed × time
hence speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{m}{t}[/tex]
Final answer:
The average speed is calculated by dividing the total distance traveled by the total time taken. In algebraic form for a car traveling m miles in t hours, the average speed is V_avg = m / t.
Explanation:
To express the average speed algebraically, we can use the formula for average speed which is the distance traveled divided by the time of travel. In algebraic terms, if a car travels m miles in t hours, the average speed would be represented as:
Vavg = m / t
Here, Vavg represents the average speed, m is the total distance in miles, and t is the time taken in hours. To demonstrate this with an example, if a car travels 150 kilometers in 3.2 hours, its average speed is calculated by dividing 150 km by 3.2 h, which gives an average speed of 47 km/h.
HELP
GIven:
QRS is an isosceles triangle
If M is midpoint of RQ, then triangle SMQ is congruent to triangle SRM
True or false
Answers
Answer:
true
Step-by-step explanation:
If the function f(x)=mx+b has an inverse function, which statement must be true
Answers
Answer:
The first option .
Step-by-step explanation:
m must not be zero
Answer:
a) m ≠ 0
Step-by-step explanation:
Given: The function y = mx + b has an inverse function.
The given function is the equation of a line in slope-intercept form.
m is the slope and y-intercept is b.
Given that the function has an inverse function, therefore, the slope must not be equal to zero.
What if the slope is zero, if the slope is zero, then there will not be an inverse function.
Therefore, the answer is m≠ 0.
PLEASE HELP QUICKLY! thank you!!
Answers
Answer:
-5.25, -3.5, -1.75, 0, 1.75
Step-by-step explanation:
Find the measures of the angles of a right triangle where one of the two acute angles measures 5 times the other
Answers
Answer:
Since it is a right angle, you know that the angle measures 90 degrees. Since one acute angle measures 5x (times) the other, you would set it up in equation format as 5x + x = 90.
5x + x = 6x, so
6x = 90
you divide both both sides by 6 (90/6) = 15
To find the measure of the angle that is 5x (times) the other, you do 5(15) = 75 degrees and the other angle is 15 degrees, which adds up to 90 degrees.
Mark me brainiest
Show 326 using hundreds, tens, and ones
Answers
Answer:
using hunreds 300
using tens 20
using ones 6
300+20+6= 326
Step-by-step explanation:
All you got to do is break them apart into the places.
Plzzz mark brainlest and thank me
What is the length of x
Answers
Answer:
10 is your answer
Step-by-step explanation:
Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.
This means that the 1 side on the 30-60-90 triangle has a measurement of 5.
Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.
the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1
5 * 2 = 10
10 is your answer
~
Which rules of exponents will be used to evaluate the expression. PLZ answer (MEGA NEEDS HELP :( Quick!!!!!!!!!!!!!!!!!!!!!!!! Check all that apply [( 7^5)(7^3)]-4
.quotient of powers
.product of powers
.power of a power
.power of a product
.negative exponent
.zero exponent
Answers
Answer:
Product of powers; power of a power; negative exponent
Step-by-step explanation:
Can you please solve this question with procedure, please????
. h (x) = 6x^2+ 3x + 1
Answers
Answer:
Step-by-step explanation:
H
[tex]6x^2+3x+1=0\\a=6,b=3,c=1\\(-b+-\sqrt{b^2-4ac} )/2a\\\\\frac{-3+-\sqrt{-15} }{12} \\\\[/tex]
The roots are:
[tex]\frac{-3+-i\sqrt{15} }{12}[/tex]
Rory measures the thickness of each of three different wires.
7.2 mm
2.14 mm
5.875 mm
What is the thickness of all three wires combined?
Enter your answer in the box.
mm
Answers
Answer:
15.215 mm
Step-by-step explanation:
7.2+ 2.14 +5.875= 15.215
Answer:
hello your answer would be 15.215 mm
Step-by-step explanation:
Which values from the specified set make up the solution set of the inequality?
5w–10>20 ; {5,6,7,8}
Select each correct answer.
5
6
7
8
Answers
5w - 10 > 20 add 10 to both sides
5w > 30 divide both sides by 5
w > 6
Answer: 7 and 8.Answer: 7 and 8
Step-by-step explanation:
A car is traveling 10 miles per hour during rush hour. How far does the car travel in 5 minutes
Answers
[tex]10 \times 5[/tex]
I think the answer is 50
A number y is no more than -8
Answers
Answer:
y≤-8
Step-by-step explanation:
This sign represent y is no more than/is less than or equal to.
I hope this helps!=)
The number y is no more than -8 written as an inequality can be written as; y ≤ 8.
According to the question;
We are required to write the word sentence, y is no more than -8.The inequality form of the sentence, mean that the number y can only assume maximum value of -8.
Therefore; y ≤ 8
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https://brainly.com/question/15816805
find the angle of elevation of the sun if a building 100 feet tall casts a shadow 150 feet long.
Answers
The angle of elevation of the sun can be determined using trigonometry by finding the inverse tangent of the ratio of the building height to the shadow length, which is approximately 33.69 degrees.
To find this, we can use trigonometry, specifically the tangent function, which is the ratio of the opposite side over the adjacent side in a right-angled triangle. Here, the building height represents the opposite side, and the shadow length represents the adjacent side.
Using the formula tangent = opposite/adjacent, we have:
tangent(\(\theta\)) = 100 / 150tangent(\(\theta\)) = 2/3Now, we need to find the angle whose tangent is 2/3. By using a calculator or a trigonometry table, we find:
\(\theta\) = tan-1(2/3) \(\approx\) 33.69 degreesTherefore, the angle of elevation of the sun is approximately 33.69 degrees.
How can this quadrilateral be classified?
Answers
Answer:
I am pretty sure it is all but trapezoid.
Step-by-step explanation:
Answer:
B. Trapezoid
Step-by-step explanation:
We have been given image of a quadrilateral. We are asked to classify our given quadrilateral.
Let us check our given choices one by one.
A. Parallelogram.
We can see that our given quadrilateral is square as its all sides are equal and perpendicular to each other.
Since sides of square are parallel to each other and opposite sides has equal measure, therefore, it is a parallelogram.
B. Trapezoid
We know that a trapezoid has one pair of parallel sides.
Since square has two pair of parallel sides, therefore, our given quadrilateral is not a trapezoid.
C. Rhombus
We know that each square is a rhombus, therefore, our given quadrilateral is a rhombus as well.
D. Square.
Our given quadrilateral is square as its all sides are equal and perpendicular to each other. Therefore, option D is correct as well.
Write an equation represents the number of bracelets b Carly will have if she works t hours making bracelets in the next 2 weeks and averages one bracelet every 2 hours
Answers
or
2b × 2t ÷2 = b
PLEASE GIVE BRAINLIEST
I will give you literally 40 points if you answer this. In a stadium, there are 31 chairs in the first row and 37 in the second row. The number of chairs in a row continues to increase by 6 with each additional row. a) write the first 5 numbers of this sequence b)what is the explicit tilde for the number of seats in n rows c)use the rule you wrote in 1b to determine which row has 103 seats. SHOW ALL WORK
Answers
A) 1st Row = 31 seats
2nd row = 37 seats
3rd row = 37+6 = 43 seats
4th row = 43+6 = 49 seats
5th row = 49+6 = 55 seats
B) The formula for finding the number of seats in any row number is:
Number of seats in nth row = 31 + (n-1) *6
C) To find the row with 103 seats, set the equation in B to equal 103 and solve for n:
103 = 31 + (n-1)*6
Subtract 31 from each side:
72 = (n-1)*6
Divide both sides by 6:
12 = n-1
add 1 to each side:
n = 13
The 13th row has 103 seats.
x+y=15
4x+4y=10
what is the answer to this using either substitution or elimination?
Answers
x=-y+15
plug that into the other equation
4(-y+15)+4y=10
-4y+60+4y=10
-4y and 4y cancel out to her 60=10 which means there is no solution
The system of equations x+y=154 and x+4y=10, can be solved by substitution method giving the solution x = 202 and y = -48.
Explanation:This question is similar to other problems in algebra where you are given a system of equations. In this case, you have the equations x+y=154 and x+4y=10. We will solve this problem using substitution.
First, let's isolate x in the first equation: x = 154 - y.
Next, we will substitute (154-y) for x in the second equation: (154 - y) + 4y = 10. Simplifying this equation, we get 3y = -144, so y = -48.
Substitute back y = -48 into the first equation, we have x + (-48) = 154, which means x = 202.
So, the solution of the system is: x = 202, y = -48.
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Find the percent of decrease. Round your answer to the nearest tenth of a percent where necessary.
5. 57 to 19
A. 38%
B. 66.7%
C. 200%
D. 20%
Find the percent of markup. Round to nearest whole percent.
6. Store’s Cost:$136.50
Selling price:$184.70
A. 48%
B. 26%
C. 14%
D. 35%
Answers
Answer:
Number 5: Answer B
Number 6: Answer B
Step-by-step explanation:
5) The percent of decrease from 57 to 19 is:B. 66.7%
6) The percent of markup is: D. 35%
How to find the percentage?6) To find the percent of decrease from 57 to 19, we can use the formula:
percent decrease = (original value - new value) / original value x 100%
Substituting the given values, we get:
percent decrease = (57 - 19) / 57 x 100%
percent decrease = 38 / 57 x 100%
percent decrease = 0.6667 x 100%
percent decrease = 66.7%
Therefore, the percent of decrease from 57 to 19 is 66.7%. The answer is option B.
6) To find the percent of markup, we can use the formula:
percent markup = (selling price - cost) / cost x 100%
Substituting the given values, we get:
percent markup = (184.70 - 136.50) / 136.50 x 100%
percent markup = 48.20 / 136.50 x 100%
percent markup = 0.353 x 100%
percent markup = 35.3%
Therefore, the percent of markup is 35%. The answer is option D.
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name the segment that is parallel to the given segment
Answers
Answer:
YZ
Step-by-step explanation:
Parallel lines never touch. Line yz would never touch line fg.
FG is parallel to ZY
What are parallel lines?Parallel lines are two or more straight lines in a plane that never intersect. They have the same slope and will continue indefinitely without ever crossing each other. In geometry, parallel lines are denoted by double vertical bars (||).
From the figure
Since FG bisects lines XZ and XY of the triangle XYZ
FGEZ forms a parallelogram
In a parallelogram opposite sides are equal and parallel
Therefore,
FG is parallel to ZE or ZY
Properties of parallelograms include opposite sides being equal and parallel, opposite angles being equal, consecutive angles being supplementary, and diagonals bisecting each other.
learn more about parallel lines here
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PLEASE ANSWER Which function has the greatest rate of change? A. 6x – 7y = 21 B. y = 2x – 2 C. x y 2 7 3 13 4 19 D. A linear function that goes through point 1, 2 and point 0, negative 1
Answers
Answer:
C it has the largest rate of change
Step-by-step explanation:
To find the greatest rate of change, we need the largest slope
In equation form y =mx +b where y is the slope
A. 6x – 7y = 21
Solve for y
Subtract 6x from each side
-7y = -6x+21
Divide by -7
y = 6/7x + 21/7
The slope is 6/7
B. y = 2x – 2
The slope is 2
C. x 2 3 4
y 7 13 19
slope = (y2-y1)/(x2-x1)
= (19-7)/(4-2)
= 12/2
=6
D. A linear function that goes through point 1, 2 and point 0, negative 1
(1,2) (0,-1)
slope = (y2-y1)/(x2-x1)
= (-1-2)/(0-1)
= -3/-1
=3
Solve for x: -3(5x -2) - x - 2 = 116
Answers
Answer:
x = -7
Step-by-step explanation:
-3 (5x - 2) - x - 2 = 116
-15x + 6 - x - 2 = 116
-16x + 4 = 116
-16x + 4 - 4 = 116 - 4
-16x = 112
-x = 7
x = -7
Please mark brainiest would help alot :3
1.32:3 1/7 =(1.4y): 5/6
Answers
Answer:
y=0.25 please mark brainliest i worked very hard to figure this out.
Step-by-step explanation:
3 1/7=22/7
22/7/6/5=132/35
1.32=132/100
132/100/132/35=1.4y=35/100
35/100*14/10=0.25
hence, y=0.25
Rewrite the expression without using a negative exponent.
Simplify your answer as much as possible.
Answers
Answer:
[tex]\frac{n^4}{4}[/tex]
or
[tex]\frac{1}{4} n^4[/tex]
Step-by-step explanation:
The given expression is
[tex]\frac{1}{4n^{-4}}[/tex]
This is an exponential expression with a negative index in the denominator.
We can rewrite the expression so that it will be,
[tex]=\frac{1}{4}\times \frac{1}{n^{-4}}[/tex]
We now apply this property of indices. A negative index in the denominator becomes a positive index in the numerator.
[tex]\frac{1}{a^{-m}} =a^{m}[/tex]
When we apply this we get,
[tex]=\frac{1}{4}\times n^{4}[/tex]
We then simplify to obtain,
[tex]=\frac{1}{4}n^{4}[/tex]
Final answer:
To rewrite an expression without a negative exponent, take the reciprocal of the base with the positive exponent. Division of exponentials requires dividing coefficients and subtracting exponents of the same base. Eliminate negative exponents and simplify the expression to get the final result.
Explanation:
To rewrite an expression without a negative exponent, you simply take the reciprocal of the base and use the positive exponent. For example, seeking to rewrite x-n, you would transform it into 1/xn, moving the base x to the denominator and making the exponent positive.
Division of exponentials involves simplifying expressions by dividing the coefficients and subtracting exponents when the bases are the same. For instance, for expressions like am / an, the result would be am-n. In case there are numerical coefficients in front, divide those numbers directly. After simplifying, always check whether the answer makes sense and is in the simplest form.
Working with negative exponents, it's crucial to eliminate terms that result in a more straightforward expression and confirm that no negative exponents remain in the final answer, ensuring it is in its acceptable form.