Answers
Answer:
A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)
Step-by-step explanation:
When rotating about the origin at an angle of 90° in the counterclockwise direction, the given values of (x, y) are interchanged with y also taking a negative sign. That is ;
(x, y) - - - -> (-y, x)
Therefore, in the question above ;
Translation = (x-2, y+3)
A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4) - - -> A' = (-4, - 7)
B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5) - - -> B' = (-5, -4)
C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4) - - -> C' = (-4, -3)
D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3) - - -> D' = (-3, -4)
Related Questions
What is the answer? Pls help
Answers
Answer:
D
Step-by-step explanation:
Plug in 6 as x in the function
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14
Answer:
The answer is 14 because 3 x 6 is 18 and 18 - 4 is 14
Step-by-step explanation:
also need help for this but dont need to much of a explanation
Answers
Answer:
Slope: 1/2
Step-by-step explanation:
Use rise over run.
Please mark BRAINLIEST! Thanks!
which system of linear equations can be solved using the information below?
Answers
Answer:
The correct answer is A
Step-by-step explanation:
Because the solution to the two equations would be 3 and -6, so the numbers in the other column in the matrices that aren't 3 and -6 would be the coefficients. In matrix Ax = 4 and 1 are the coefficients for y and in matrix Ay, -5 and -8 is the coefficient for the xs in the equations.
Answer: A
Step-by-step explanation: edge 2023
how do you Solve. 21r<7
Answers
Answer:
r < 1/3
Step-by-step explanation:
21r<7
Divide each side by 21
21r/21<7/21
r < 1/3
Answer:
[tex] r < \frac{1}{3} \\ [/tex]
Step-by-step explanation:
[tex]21 \: r < 7 \\ \frac{21 \: r}{21} < \frac{7}{21} \\ r < \frac{1}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Part 2:
1. Make sure your answers and work is SHOWN please and steps are in order.
2. List all possible rational roots.
3. Use synthetic division to test possible rational roots
4. Identify complex roots, if possible.
5. Sketch a graph of the function, please show:
a. the end behavior correctly
b. the shape of the near x-intercepts
c. (if possible) anything you can learn by considering symmetry and transformations
2a. p(x)= x^4 + 4x^3 + 13x^2 + 36x + 36
Answers
Answer:
2. ±1, ±2, ±3, ±4, ±6, ±9, ±12, ±18, ±36
3. see below for synthetic division
4. complex roots: ±3i
5. see the second attachment for a graph (has no symmetry)
Step-by-step explanation:
2. The Rational Root Theorem tells you possible rational roots are the form of ...
±(divisor of constant term) / (divisor of leading coefficient)
Here, we're lucky in that the leading coefficient is 1. The constant is 36, and its divisors are 1, 2, 3, 4, 6, 9, 12, 18, 36. Possible rational roots, according to the Rational Root Theorem are ...
±1, ±2, ±3, ±4, ±6, ±9, ±12, ±18, ±36
__
3. When actually searching for possible roots, it is useful to narrow down this list of 18 candidates. We can do this using Descarte's Rule of Signs and a couple of other simple tests. The rule of signs has us look at the signs of the coefficients. They are ...
+ + + + +
There are no sign changes, hence no positive real roots. This means we're looking at negative roots only.
We know that p(0) = 36, the constant term. We can evaluate p(-1) simply, by reversing the signs of the odd-degree coefficients and adding them up:
1 -4 +13 -36 +36 = 10
So p(0) = 36 and p(-1) = 10. The average rate of change is -26, so we expect p(-2) to be zero or less. That value (-2) may be a good first choice for a possible root.
The synthetic division for the root -2 is shown in the first attachment. It shows a remainder of 0, so -2 is a root. The polynomial with the corresponding factor divided out is ...
q(x) = x^3 +2x^2 +9x +18
__
We can apply the above steps to this polynomial. It will have no positive real roots. The value of q(0) is 18, and the value of q(-1) is -1 +2 -9 +18 = 10. The average rate of change between these points is (18 -10)/(0 -(-1)) = 8, so we expect the function to be zero or negative between x=-2 and x=-3.
Further, we observe that the ratio of the first two coefficients is 1 : 2, the same as the 9 : 18 ratio of the last two coefficients. This suggests we can factor this polynomial by "grouping."
q(x) = (x^3 +2x^2) +(9x +18) = x^2(x +2) +9(x +2) = (x^2 +9)(x +2)
So, without doing any more synthetic division, we have found a second root at x = -2. This means -2 is a double root.
Our factorization so far is ...
p(x) = (x +2)^2(x^2 +9)
__
4. The remaining polynomial factor (x^2 +9) has only complex roots:
x^2 +9 = 0
x^2 = -9
x = ±√(-9)
x = ±3i . . . . the complex roots
__
5. The graph is shown in the second attachment, along with the graph of the final quadratic factor.
The leading coefficient is positive and p(x) is of even degree, so it will have a general U shape, going to +∞ for large positive and negative values of x.
Since x = -2 is a double root, the graph touches the x-axis there, but does not cross it.
The graph of p(x) shows no symmetry.
______
Comment on the graph
With modern graphing calculator software it is entirely feasible to start by graphing the polynomial, then reading the (rational) roots from the graph. The same calculator can effectively divide out those roots. If the result is a quadratic, its vertex form equation can be read from the graph, making it easy to find any additional real or complex roots.
This graph shows ...
p(x) = (x +2)^2·q(x)
q(x) = x^2 +9
If x-9 is a factor of x2 – 5x - 36, what is the other factor?
x - 4
x + 4
A
ООО
X-6
X + 6
Answers
Answer:
x²-5x-36
=> x²-9x+4x-36 = 0
=> x(x-9)+4(x-9)
=> (x-9) (x+4)
Step-by-step explanation:
Answer:
(x-9) (x+4)
Step-by-step explanation:
x^2 – 5x - 36,
What two numbers multiply to -36 and add to -5
-9 *4 = -36
-9+4 = -5
(x-9) (x+4)
The Griffins bought a new car for $23,865. The total price was $26,959 which included $1,589 for tax and license, $742 for shipping, and payment for accessories. How much were the accessories?
Answers
A classroom has a total of 26 students, 13 Students in the classroom are females and the rest are males. 5 males students have long hair and 9 female students wear glasses. A Student is called to the principal's office. What is the probability that the student being called is female and does not wear glasses. Explain your answer...
Answers
Answer:
15%
Step-by-step explanation:
There is 26 students 13 are females of those 13 nine of them wear glasses if you subtract 13 minus 9 you are left with 4 and if you divide that 4 by 26 you get the percentage of girls without glasses which is 15%
If PQRS is a rhombus, which statements must be true? Check all that apply.
Answers
Answer:
Options (B), (C) and (F) are correct.
Step-by-step explanation:
Properties of a rhombus,
1). All sides of a rhombus are equal in measure.
2). Both the diagonals of a rhombus are the perpendicular.
3). Diagonals bisect the vertex angles.
By these properties of a rhombus,
Option (B): PR is perpendicular to QS.
Option (C): ∠QPR ≅ ∠SPR
Option (F): PQ ≅ QR
Therefore, options (B), (C) and (F) are correct.
Answer:
B, C, F, and E are all correct.
Step-by-step explanation:
¿que es la trigonometria?
Answers
Answer:
I don't speak Spanish but I know what your asking. Trigonometry is a thing in physics.
Step-by-step explanation:
Which of the following best describes the English expression the product of
nine and a number minus five?
Answers
Answer:
9n-5
Step-by-step explanation:
Let n=the number:
9n-5
Nine and a number minus five
Mr. Malone is contemplating which chauffeured car service to take to the airport. The first costs $28 upfront and $2 per mile. The second costs $13 plus $5 per mile. For a certain driving distance, the two companies charge the same total fare. What is the distance?
Answers
Answer:
The distance is 8 miles.
Step-by-step explanation:
First, we need to write an equation for each of chauffeured car services.
The first one = 28 + 2x = ?
The second one = 13 + 5x = ?
Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.
I first plugged in 2 as x.
28 + 4 = 32
13 + 10 = 23
That didn't work, so I then plugged in 5.
28 + 10 = 38
13 + 25 = 38
So 5 would be the correct answer for what is the distance.
Solve for y: 5-3y - 8y = 121 *
Answers
Answer:
y= -116/11
Step-by-step explanation:
5-3y-8y=121
5-11y=121
5-5-11y=121-5
-11y=116
-11y/-11=116/-11
y= -116/11
How many solutions does the nonlinear system of equations graphed below have? A. Zero B. One C. Two D. Four
Answers
Answer:
D, 4
Step-by-step explanation:
The graph crosses the x-axis 4 different times
If f(x) = 1 - X, which value is equivalent to [f(I)]?
О0
0 1
O v2
Ov-1
Answers
Answer:
0
Step-by-step explanation:
Here, given the function f(x), we want to calculate f(1)
Mathematically, this means we shall substitute 1 for the value of x in that function.
Thus, given F(x) = 1-x
Then F(1) would be = 1-1 = 0
A single story house is to be built on a rectangular lot 70 feet wide by 100 feet deep. The shorter side of the lot is along the street. The house must be set back 30 feet from the street. It also must be 20 feet from the back lot line and 10 feet from each side lot line. What is the greatest area that the house can have, in sq feet?
Answers
Answer:
250 sq ft
Step-by-step explanation:
Since the shorter side is along the street and the setback is 10ft from each side, the house is 50 ft wide
and 100 -20 -30 = 50 ft long
50 x 50 = 250 sq ft
The greatest area of the given house is 2500 square feet.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
To find the greatest area that the house can have, you need to determine the dimensions of the house.
The width of the house will be the distance between the two side lot lines, which is 70 feet - 10 feet - 10 feet = 50 feet.
The depth of the house will be the distance between the front and back lot lines, which is 100 feet - 30 feet - 20 feet = 50 feet.
The area of the house is :
50 feet x 50 feet = 2500 sq feet.
This is the greatest area that the house can have.
Learn more about the Area of the rectangle here:
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How many solutions does this linear system have?
Y= -1/2x + 4 x + 2y=-8
Answers
Answer:
No solutions
Step-by-step explanation:
[tex]y=-\dfrac{1}{2}x+4 \\\\x+2y=-8[/tex]
Substitute:
[tex]x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8[/tex]
This system has no solutions.
Hope this helps!
Identify the diameter if given the radius and the radius if given the diameter of given circles: 7 cm 25 cm 28 cm 35 cm 100 cm 140 cm Radius = 70 cm Radius = 14 cm Diameter = 14 cm Diameter = 50 cm Radius = 70 cm Radius = 14 cm Diameter = 14 cm Diameter = 50 cm
Answers
Answer:
Radius. 7, 25, 14, 35, 50, 70
Diameter 14, 50, 28, 70, 100, 140
Identifying the Independent and Dependent Variable
The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c.
in dollars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.
The
v is the independent variable.
The
is the dependent variable.
Answers
Answer:
The number of miles traveled is the independent variable.
The amount of money spent is the dependent variable.
Step-by-step explanation:
They keyword here is "per". You are spending .6 dollars for every mile traveled
Answer:
C = dependent
M = independent
Step-by-step explanation:
Hopefully this helps you :)
pls mark brainlest. ;)
Nathaniel writes the general form of the equation gm = cm + rg for when the equation is solved for m. He uses the general form to solve the equation –3m = 4m – 15 for m. Which expression shows what Nathaniel will actually evaluate? A. 4 + 15 – 3 B.4 – 15 + 3 C.-15/-3-4 D.–15 – -3/4
Answers
Answer:
c
Step-by-step explanation:
gm=cm+rg
gm-cm=rg
m(g-c)/g-c = rg/g-c
m=r g/g-c
-3m=4m-15
-3m-4m=-15
-7m=-15
-15/-7m
= -2.14
-15/-3-4= 2.14
Answer:
The answer is C. I just got it right
Step-by-step explanation:
Someone please help ASAP. I would really really appreciate it if u can. I will mark brainliest
Answers
Answer:
[tex]y = -\frac{1}{4} x + 2[/tex]
Step-by-step explanation:
if a number of 721 students enrolled to a school & the number increases by 7%, by the next year how many students will there be?
Answers
Answer:
771
Step-by-step explanation:
Answer:
771
Step-by-step explanation:
AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP
Answers
Answer:
Question (8). m∠1 = 142°
m∠2 = 300°
Question (9). m∠1 = 73°
m∠2 = 82°
Step-by-step explanation:
Question (8). m∠1 + 38° = 180° [Supplementary angles]
m∠1 = 180 - 38
m∠1 = 142°
m∠x = 38° [Alternate interior angles]
m∠y = 22° [Alternate interior angles]
Now, m∠2 = 360° - (m∠x + m∠y)
= 360° - (38 + 22)°
m∠2 = 300°
Question (9). m∠RMN + 98° = 180°
m∠RMN = 180 -98
= 82°
m∠RMN = m∠ARM = 82°
m∠2 = 82°
m∠SNM = 73° [Vertical angles]
m∠SNM = m∠OSR = 73°[Corresponding angles]
m∠1 = 73°
..solve the following as fast as
you can using the properties
of additition and multiplication
a)365+94+35
b)896+423+104
c)379×25×4
d)89×125×8
Pls answer fast
Answers
Answer:
i hope this will help you
Step-by-step explanation:
a 365+94+35
=494
b 896+423+104
=1423
c 379×25×4
=45480
d 89×125×8
=89000
I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?
Answers
Answer:
A is a solution because it is in the shaded area.
Step-by-step explanation:
A coin jar contains 10 quarters, 6 dimes, and 8 nickels. Find the probability that a dime is chosen at random from the jar and then a nickel is chosen at random from the jar.
Answers
Answer: 6 to 24
Step-by-step explanation:
What is the approximate value of tan C?
B
13.93
5
13
Answers
Answer:
B you need to plug it in the calculator
The approximate value of tan C is 0.38 (Option D).
To find the approximate value of tangent (tan) of angle C, we can use the given side lengths of the right-angled triangle ABC:
Hypotenuse (c) = 13.93
Base (b) = 13
Height (a) = 5
The tangent of angle C is defined as the ratio of the height (a) to the base (b):
tan C = a / b
tan C = 5 / 13
Now, let's calculate the approximate value of tan C:
tan C ≈ 0.3846
Among the given options (0.36, 0.93, 2.6, 0.38), the closest approximation to the value of tan C is option D: 0.38.
Therefore, the approximate value of tan C is 0.38.
To know more about tan, refer here:
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Complete Question:
What is the approximate value of tan C?
Put the following temperatures in order from least to greatest (1 is the least and 5 is the greatest):
Group of answer choices
The temperature was 25 degrees below zero
The pool temperature was 78 degrees
Water freezes at 32 degrees
The low temperature in December is -3 degrees
The temperature in the refrigerator was 34 degrees.
Answers
Answer:
25 degrees below zero, -3, 32, 34, 78
4/5x(-3/7)-3/8+6/5x(-3/7
Find using suitable property
Answers
Answer:
-1 13/56
Step-by-step explanation:
[tex] \frac{4}{5} \times ( - \frac{ 3}{7} ) - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) = \\ = - \frac{12}{35} - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) \\ = - \frac{12}{35} - \frac{3}{8} + ( - \frac{18}{35} ) \\ = - \frac{96}{280} - \frac{105}{280} - \frac{144}{280} \\ = - \frac{201}{280} - \frac{144}{280} \\ = \frac{345}{280} = - 1 \frac{65}{280} \\ = - 1 \frac{13}{56} [/tex]
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What is the area of this isoceles trapezoid?
Answers
7 2
Step-by-step explanation:
Answer:
72^2 units
Step-by-step explanation:
A=a+b/2×h
A=12+6/2×8
A=18/2×8
A=9×8
A=72^2units
