Answer:
(-15,12),(6,18)(12,-9)
Step-by-step explanation:
Given
A (-5, -4), B (2, 6), and C (4, -3)
Dilated from (x,y) to (3x,3y)
Required
Vertices of the dilated image
First, the scale factor has to be calculated
This is calculated as thus;
Dilation = Original * Scale Factor;
In case of (x,y) to (3x,3y)
So, we have
[tex](3x,3y) = Scale\ Factor * (x,y)[/tex]
Simplify brackets
[tex]3(x,y) = Scale\ Factor * (x,y)[/tex]
Divide both sides by (x,y)
[tex]\frac{3(x,y)}{(x,y)} = \frac{Scale\ Factor * (x,y)}{(x,y)}[/tex]
[tex]\frac{Scale\ Factor * (x,y)}{(x,y)}=\frac{3(x,y)}{(x,y)}[/tex]
[tex]Scale\ Factor =\frac{3(x,y)}{(x,y)}[/tex]
[tex]Scale\ Factor =3[/tex]
Now, the vertices of the new image can be calculated;
Using the formula: Dilation = Original * Scale Factor;
At vertex A(-5,4)
Dilation = (-5,4) * 3
Dilation = (-5*3 ,4*3)
Dilation = (-15,12)
At vertex B(2,6)
Dilation = (2,6) * 3
Dilation = (2*3 ,6*3)
Dilation = (6,18)
At vertex C(4,-3)
Dilation = (4,-3) * 3
Dilation = (4*3 ,-3*3)
Dilation = (12,-9)
Hence, the vertices of the dilated image are (-15,12),(6,18)(12,-9)
Identify the restrictions on the domain of f(x) = x+5/x-2
Answer:-3
Step-by-step explanation:
promise its B
The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;
⇒ x ≠ 2
What is Domain?
The set of all inputs of the function is called Domain of set.
Given that;
The function is,
⇒ f (x) = (x + 5) / (x - 2)
Now,
Since, We know that;
In the Rational function A (x) / B (x), the Restrictions of the Domain are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.
So, We get;
The restriction on the domain of f (x) = (x + 5) / (x - 2) is find as;
Make the denominator zero and solve for x as;
x - 2 = 0
x = 2
Thus, The restriction on the domain of f (x) = (x + 5) / (x - 2) is includes all x not equal to 2.
Therefore, The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;
⇒ x ≠ 2
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PLEASE HELP! 5 MINS! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.
Answer:
15
Step-by-step explanation:
30/2 = 15
Answer:
7
Step-by-step explanation:
Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.
The ratio of the number of Andys seashells to the number of Bens seashell is 4:9. Andy has 100 seashells. How many seashells does Ben have?
Answer:
225 seashells
Step-by-step explanation:
4:9
100:x
Cross multiply the ratios.
4x=900
x=900/4
x=225
Please help asap 15 pts for the correct answer with correct explanation!
Answer:
Step-by-step explanation:
The third picture with 4.5 being theu put the answer is 9.5 not 3
everything else seems good to me
Someone please help
Answer:
A
Step-by-step explanation:
The 3D shape of the 5 cubes put to a 2D-plane will be representing the diagram A.
Answer: A
Step-by-step explanation:
This is because Option A has 5 cubes, as well as the model above which also has 5 cubes. When you change the angle of the way you are looking at Option A it will be similar to the plan above
If y varies directly and y is 12 when x is 1.2 what is the constant of variation for this relation
Answer:
10
Step-by-step explanation:
The constant of variation would be 12 / 1.2 = 10.
Answer:
[tex]10[/tex]
Step-by-step explanation:
[tex]y \propto x[/tex]
[tex]y=kx[/tex]
[tex]12=k \times 1.2[/tex]
[tex]k=\frac{12}{1.2}[/tex]
[tex]k=10[/tex]
The constant of variation is [tex]k[/tex].
The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 3, negative 4. Point B is at negative 4, 3. Point C is at 2, 2. Point D is at 1, negative 2. Point E is at 5, negative 4. Point F is at 3, 4. Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points) Part C: Natalie can only attend a school in her designated zone. Natalie's zone is defined by y < −2x + 2. Explain how you can identify the schools that Natalie is allowed to attend. (2 points)
Answer:
Part A;
There are many system of inequalities that can be created such that only contain points D and E in the overlapping shaded regions.
Any system of inequalities which is satisfied by (-4, 2) and (-1, 5) but is not satisfied by (1, 3), (3, 1), (3, -3) and (-3, -3) can serve.
An example of such system of equation is
x < 0
y > 0
The system of equation above represent all the points in the second quadrant of the coordinate system.
The area above the x-axis and to the left of the y-axis is shaded.Part B:
Part B
It can be verified that points D and E are solutions to the system of inequalities above by substituting the coordinates of points D and E into the system of equations and see whether they are true.
Substituting D(-4, 2) into the system we have:
-4 < 0
2 > 0
As can be seen the two inequalities above are true, hence point D is a solution to the set of inequalities.
Also, substituting E(-1, 5) into the system we have:
-1 < 0
5 > 0
As can be seen the two inequalities above are true, hence point E is a solution to the set of inequalities.
Part C
:This part is different from yours because my equation is y> 4x + 3 and it's been a long time since I did that task and I don't remember anything. I hope you can do yours from my example.
Given that chicken can only be raised in the area defined by y > 3x - 4.
To identify the farms in which chicken can be raised, we substitute the coordinates of the points A to F into the inequality defining chicken's area.
For point A(1, 3): 3 > 3(1) - 4 ⇒ 3 > 3 - 4 ⇒ 3 > -1 which is true
For point B(3, 1): 1 > 3(3) - 4 ⇒ 1 > 9 - 4 ⇒ 1 > 5 which is false
For point C(3, -3): -3 > 3(3) - 4 ⇒ -3 > 9 - 4 ⇒ -3 > 5 which is false
For point D(-4, 2): 2 > 3(-4) - 4; 2 > -12 - 4 ⇒ 2 > -16 which is true
For point E(-1, 5): 5 > 3(-1) - 4 ⇒ 5 > -3 - 4 ⇒ 5 > -7 which is true
For point F(-3, -3): -3 > 3(-3) - 4 ⇒ -3 > -9 - 4 ⇒ -3 > -13 which is true
Therefore, the farms in which chicken can be raised are the farms at point A, D, E and F.
.Take that exam and got 100% .The exam was 05.13 Segment One Exam Part 3.I really hope this helps you.And please give me the brainliest
Answer:
give person above brainliest
Step-by-step explanation:
its right
how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?
Answer:
See below.
Step-by-step explanation:
It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.
Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.
Proved!
Which statement is true?
The transformation is rigid because corresponding side
lengths and angles are congruent.
The transformation is rigid because corresponding side
lengths are congruent and corresponding angles are not
congruent.
The transformation is nonrigid because the two
triangles have different names.
The transformation is nonrigid because the three sides
and the three angles in each triangle have different
measures.
Answer:
Option A
Step-by-step explanation:
The triangle most likely got translated. A translation is a rigid transformation. Rigid transformed shapes have the same angle measure and side lengths.
Option A should be the correct answer.
Side Note: You can also tell that the markings on the triangle are the same. This means that the shapes are congruent. They are just in different positions.
The true statement is (a) the transformation is rigid because corresponding side lengths and angles are congruent.
How to determine the true statement?From the figure, we have the following highlights
Corresponding angles are congruentCorresponding sides are congruentThe above means that the transformation from one triangle to the other is a rigid transformation
Hence, the true statement is (a)
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The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
be used to find w, the width of the rectangle?
[tex]18 = \frac{w}{2} - 4[/tex]
[tex]18 = 4 - \frac{w}{2} [/tex]
[tex]18 - 4 = \frac{w}{2} [/tex]
[tex]18 - \frac{w}{2} = 4[/tex]
Answer:
A or the top option
Step-by-step explanation:
I used process of elimination
B simply does not work because in order for 4 to be subtracted by another number to equal 18, that number (width) would have to be negative
C also isn't correct since if it was solved out, we would add four to both sides, making the left side equal to w/2 + 4 which isn't what we want because the length is 4 shorter, not longer
D can be dealt with in the same way, by adding w/2 on both sides, making the left side 4 + w/2, the same as the previous option.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g. g(x) = f(x − 3) + 4
Answer:
The correct option is D
D) The graph of function f(x) is shifted right 3 units and up 4 units
Step-by-step explanation:
Lets the function be y = f(x)
To shift the graph 3 units to the right, we add -3 to the x term of the function:
Function becomes y' = f(x-3)
Then to shift the graph up by 4 units, we add -4 to the y term of the function:
Function becomes:
y - 4 = f(x-3)
y = f(x-3) +4
g(x) = f(x-3) +4
Hence the correct option is D, as the graph is shifted to the right by 3 units and also shifted up by 4 units
Answer: The correct answer is D. The graph of function f is shifted RIGHT 3 units and up 4
Step-by-step explanation:
What is the least common factor of 9 and 15? (Don’t say 45 please because that’s not the answer I’m looking for ;)
Answer:
The (GCF) greatest common factor is 3
hope this helps ;)
Step-by-step explanation:
Answer:
LCF = 3
Step-by-step explanation:
The factors of 9 are: 1, 3, 9
The factors of 15 are: 1, 3, 5, 15
The least common factor is 3. It is the lowest number that is a factor of both 9 and 15. Technically, 3 is the GCF and the LCF because it is the only common factor of 9 and 15.
I hope this helps!!
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x ≈ 31.3°
Step-by-step explanation:
We can use sin∅ to solve this:
sinx = 13/25
x = [tex]sin^{-1}(13/25)[/tex]
x = 32.3323
Which of the following is a result of shifting a circle with equation (x-2)2 +(y-3)2=25 to the left 2 units ?
A.) Both the x- and y-coordinates of the center of the circle increased by 2
B.) Both the x- and y-coordinate of the center of the circle decreased by 2
C.) The y-coordinate of the center of the circle decreased by 2
D.) The x-coordinate of the center of the circle decreased by 2
Answer:
D.) The x-coordinate of the center of the circle decreased by 2
Step-by-step explanation:
(consult the diagram attached below)
Consider a circle
(x - 2)² + (y - 3)² =25
Where (h, k ) = (2, 3) which is the center of the circle.
When we want to move the circle to the left by 2 units, it also means the the center of the circle will move 2 units to the left.
If center of the circle moves 2 units to the left, it means that the x coordinate of the center of the circle will be decreases by 2 units, while y coordinate will remain the same.
Hence the new coordinate for the center of the circle is (2-2, 3) = (0, 3)
The new equation of circle will be:
(x - 0)² + (y - 3)² =25
(x )² + (y - 3)² =25
Tickets to a concert cost either $12 or $15. A total of 300 tickets were sold, and the total receipts were $4140. How many of each kind of ticket were sold?
Answer:
1,242,000
Step-by-step explanation:
I NEED HELP PLEASE
Select all the correct answers.
Which equations have infinitely many solutions?
Answer:
B and D
Step-by-step explanation: i used my brain
Answer:
B and D
Step-by-step explanation:
Which equation has a graph that is parallel to the graph of 2x - y = -1?
A. 2x + y = 8
о В.
y=-x+3
O C. y-1 = 2(x - 3)
O D. y = -2x - 1
Answer:
C.
Step-by-step explanation:
Parallel lines have the same slope but different y-int. So if our original equation is y = 2x + 1, then the other equation would have to be y = 2x + b, where b ≠ 1. Only answer C. works.
Answer:
The answer is C) y-1=2(x-3)
Step-by-step explanation:
Two equations are parallel if they have the same slope and different y-intercepts. In the answer (c) 2 represents the slope which is also the slope of the original equation. y=2x-5is the equation that you get when you distibute and isolate y.
If LMN XYZ, which congruence are true by cpctc? Check all that apply
Answer:
D, E, F
Step-by-step explanation:
After you prove that the two triangles are congruent, you just need to look for the similair placed angles and lines.
Answer:
D, E, F
Step-by-step explanation:
These three are the only ones that complete CPCTC requirements.
Which system of inequalities is graphed below?
- 10 -8 -8
-4
4
B
8
10
-8
-8-
-10
Answer:
Option (1)
Step-by-step explanation:
Parent function for both parabolas graphed is, y = x²
For the large parabola,
This parabola is formed by translating the parent function 4 units downwards.
So the equation will be, y = x² - 4
Now graph of the inequality shows the dotted line with shaded area inside the parabola,
Equation of the parabola will be,
y > x² - 4
Similarly, equation of the other parabola will be,
y < x² + 6 [Since shaded region is the region outside the dotted lines of the parabola]
So the system of inequalities will be,
y > x² - 4
y < x² + 6
Therefore, Option (1) will be the answer.
What is the length of GH?
H
cm
Type in your response.
2
4 cm
60 cm
к
J
DONE
18 cm
Answer:
15 cm
Step-by-step explanation:
Area of a rectangle formula: A = lw
Simply plug in known variables and solve:
60 = 4(w)
w = 15
Answer:
15 cm
Step-by-step explanation:
If we know the area which is 60 and the width which is 4 we can just divide 60 by 4 and we get 15cm
If ΔP′QR′ is a dilated image of ΔPQR, find the scale factor (k) and then find the value of x. answers: A) 7 B) 10.7 C) 6 D) 73.5
Answer:
see explanation
Step-by-step explanation:
To find k, calculate the ratio of corresponding sides, image to original, that is
k = [tex]\frac{P'R'}{PR}[/tex] = [tex]\frac{8}{28}[/tex] = [tex]\frac{2}{7}[/tex]
Thus
QR' = [tex]\frac{2}{7}[/tex] × QR = [tex]\frac{2}{7}[/tex] × 21 = 2 × 3 = 6 , that is
x = 6 → C
There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?
Answer:
4512 handshakes
Step-by-step explanation:
We are told in the question, that there are
96 people in the room = 48 couples
Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once
This means
48 couples will shake 94 people because they are excluded
This is calculated as
48 × 94 = 4512 handshakes
Solve for x. ANSWERS: A) 12 B) 13 C) 11 D) 10
Answer:
A) 12
Step-by-step explanation:
Since triangles YRZ and QRS are similar by AA, the ratio of their sides should be constant. Since RY=QY, let's call that side length y.
[tex]\dfrac{x+2}{y}=\dfrac{3x-8}{2y}[/tex]
Multiply both sides by 2y:
[tex]2(x+2)=3x-8 \\\\2x+4=3x-8 \\\\4=x-8 \\\\x=12[/tex]
Hope this helps!
A bridge connecting two cities separated by a lake has a length of 5.651 mi.
Use the table of facts to find the length of the bridge in yards.
Round your answer to the nearest tenth.
Answer:
The equivalent of 5.651 mi is 9945.76 yards
Step-by-step explanation:
Given:
Length of lake = 5.651 mi
Required:
Length of bridge in yards
From table of facts;
1 mile = 1760 yards
This implies that
5.651 miles will be:5.651 * 1760 yards
5.651 * 1760 yards = 9945.76 yards
5.651 * 1760 yards = 9945.8 yards (Aproximated)
Hence, the equivalent of 5.651 mi is 9945.76 yards
Express 5/7 as a decimal. (Round to the nearest thousandths place)
Answer:
rounding to the thousandths place, the answer is 0.714
Step-by-step explanation:
This can easily be looked up on google
Every integer is a whole number
Please select the best answer from the choices provided
T
F
Answer:
This is true.
OMG HELPPP PLEASEEE plssss
Answer:
Brainliest goes to me
Step-by-step explanation:
if you solved it... it would be 8.75
but you can't like 0.75 of a color so it isn't possible
0.75 is to be rounded up so I would do 9
Answer:All you have to do is multiply
Step-by-step explanation:
Solve 5(x - 4) = 2(x + 5)for x
5x-20 = 2x+10
3x-20= 10
3x= 30
x=10
Answer:
x = 10
Step-by-step explanation:
Step 1: Distribute parenthesis
5x - 20 = 2x + 10
Step 2: Add 20 to both sides
5x = 2x + 30
Step 3: Subtract 2x from both sides
3x = 30
Step 4: Divide by 3
x = 10
The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three numbers.
Answer: A) = 81
Step-by-step explanation:
Say that the four numbers are a,b,c & 97.
Then a+b+c+97/4 = 85
a+b+c+97=340
a+b+c=243
a+b+c/3 = 81
The average of the remaining three numbers is 81.
What is the average of n numbers a₁, a₂, ..., aₙ?The average of the numbers a₁, a₂, ..., aₙ is calculated as
Average = (a₁ + a₂ + ··· + aₙ) / n.
Given
Average of the four numbers = 85,
The largest of the four numbers is 97.
Find the sum of all the four numbers
Let the four numbers be a, b, c, and d. Then, using their given average,
(a + b + c + d) / 4 = 85
⇒ a + b + c + d = 85 × 4 = 340.
Find the sum of the numbers excluding the largest one
Let the largest number be d. So, d = 97. Then, the sum of the remaining three is
a + b + c = 340 - d = 340 - 97 = 243.
Find the average of the three numbers
Using the above definition average of the remaining three numbers is calculated as
Av(a,b,c) = (a + b + c)/3 = 243 / 3 = 81.
The required average of the remaining three numbers is 81.
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What is 10% of 66,743.22
Answer:
The answer is 6,674.322
Step-by-step explanation:
An easy way to solve this is to move the decimal point up by one space.
You could also multiply 66,743.22 by 0.1 and you would get the answer.
Hope this helps :)
Answer:
6674.322
Step-by-step explanation:
To find 10% we move the decimal one place to the left
66,743.22 moves one place to the left
6674.322