Answers
Answer:
(13, -3).
Step-by-step explanation:
Expression representing transformation has been given as,
[tex]r_{y-z}oT_{4,-5}[/tex]
First apply the rule → [tex]T_{4,-5}[/tex]
Translation of the point by 4 units along the x-axis and 5 units downwards along the y-axis,
(x, y) → (x + 4, y - 5)
(-1, -8) → (-1 + 4, -8 - 5)
→ (3, -13)
Now apply the rule of reflection over the line y = -x to the image point (3, -13),
(x, y) → (-y, -x)
(3, -13) → (13, -3)
Therefore, answer will be (13, -3).
Related Questions
A particle sits on a smooth surface and is acted upon by a time dependent horizontal force, giving it an
acceleration of a = 2t
2 + 4t where t is in seconds. Given that it is initially at rest and experiences no resistance
to motion, find:
a) The velocity of the particle at time t.
b) The distance travelled by the particle if acted on by the force for 8s
Answers
(a) By the fundamental theorem of calculus,
v(t) = v(0) + ∫₀ᵗ a(u) du
The particle starts at rest, so v(0) = 0. Computing the integral gives
v(t) = [2/3 u ³ + 2u ²]₀ᵗ = 2/3 t ³ + 2t ²
(b) Use the FTC again, but this time you want the distance, which means you need to integrate the speed of the particle, i.e. the absolute value of v(t). Fortunately, for t ≥ 0, we have v(t) ≥ 0 and |v(t) | = v(t), so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of
∫₀⁸ v(u) du = ∫₀⁸ (2/3 u ³ + 2u ²) du = [1/6 u ⁴ + 2/3 u ³]₀⁸ = 1024
PLEASE HELP ASAPPP!! I WILL GIVE BRAINLIEST AND POINTS!!
The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.
f(x) = -x2 - 6x
Answers
Answer:
The vertex is at (-3, 9).
The axis of symmetry is x = -3.
Step-by-step explanation:
We have the function:
[tex]f(x)=-x^2-6x[/tex]
And we want to determine its vertex and the equation of its axis of symmetry.
The vertex can be found with the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -1, b = -6, and c = 0.
Find the x-coordinate of the vertex:
[tex]\displaystyle x=-\frac{(-6)}{2(-1)}=-3[/tex]
To find the y-coordinate substitute this value back into the function:
[tex]\displaystyle f\left(-\frac{b}{2a}\right)=f(-3)=-(-3)^2-6(-3)=9[/tex]
So, the vertex of the equation is (-3, 9).
The axis of symmetry is goes through the vertex point. So, the equation for the axis of symmetry is simply the x-value. Therefore, the equation is:
[tex]x=-3[/tex]
Step-by-step explanation:
you can arrange f(x) as :
f(x) = 3(x^2 +3x ) +12 = 3 (x +1.5) ^2 + 5.25
so you can see the vertex is at (0,5.25) when x =-1.5
the axis symmetry then lies in x =-1.5
Find the distance between the pair of points: (0,1) and (1,0)
Answers
Answer:
sqrt(1^2 + 2^2)
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
4/3/8
pls help
i will mark brainliest
Answers
Answer:
umm can you be more specific
Step-by-step explanation:
Answer:
32/3
Step-by-step explanation:
4 ÷ 3/8
4 3
___ ÷ ___ (reciprocal method, then change the operation to multiplication)
1 8
4 8
___ × ___ (multiply)
1 3
= 32/3
since 32/3 is already reduced, the final answer would be 32/3.
Which sum or difference is modeled by the algebra tiles?
A. (x2 − 2x + 3) − (-x2 − 4x − 2) = 2x − 1
B. (x2 − 2x − 3) + (x2 − 4x + 2) = 2x − 1
C. (x2 − 2x − 3) − (x2 + 4x + 2) = 2x − 1
D. (x2 − 2x − 3) + (-x2 + 4x + 2) = 2x – 1
Answers
im solving now almost done
Answer:
b.) (x2 − 2x − 3) + (x2 − 4x + 2) = 2x − 1
;)
Find the slope and y-intercept of the equation.
y=-07x-9
Answers
Answer:
Slope: -7
y-intercept: (0, -9)
Step-by-step explanation:
y-intercept (0,9)
Fourteen children out of a group of 26 like chocolate ice cream. What would be the numerator of the fraction illustrating proportion of children in this group that do not
like chocolate ice cream?
Answers
Answer:
12
Step-by-step explanation:
The amount of children that do like ice cream are 14/26 so the children that do not like ice cream 14/26, and the numerator is 12
HELPP PLSS ILL MARK BRIANLIEST
Answers
Answer:
128cm
Step-by-step explanation:
Your Welcome :)
You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a reasonable approximation for the binomial distribution in this case. While it is an uncommon confidence level, find the critical value that corresponds to a confidence level of 97.1%.
Answers
Answer:
The critical value that corresponds to a confidence level of 97.1% is [tex]Z = 2.18[/tex].
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
97.1% confidence level
So [tex]\alpha = 0.029[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.029}{2} = 0.9855[/tex], so [tex]Z = 2.18[/tex].
The critical value that corresponds to a confidence level of 97.1% is [tex]Z = 2.18[/tex].
What is the sum of the interior
angle measures of a polygon
that has 20 sides?
Sum = [?]"
Hint: Sum = (n-2)180
Answers
Step-by-step explanation:
if N= given Side then,
(20-2)180
18×180
3240° Answer
Answer:
n=20 side
sum=(n-2)180
=(20-2)180
=(18)180
=3240
The two sets of lines are parallel. If the measure of angle A is 110°, what is the measure of angle B?
Answers
Answer:
Sum of 2 interior angles =180
1 angle+70=180
Another angle=110
Step-by-step explanation:
Which of the following represents a correct rewriting of the following equation, rewritten to solve for y? ax-by>c
Options
A: y < a/b x + c/b
B: y < a/b x - c/b
C: y > a/b x + c/b
D: y > a/b x + c/b
Answers
Answer:
Step-by-step explanation:
Answer is unclear, but keep trying
At midnight, the temperature was -8 degree Celsius. At noon, the temperature was 23
degrees Celsius. Which expression represents the increase in temperature?
Answers
Answer:
-8 + 31 = 23
our generically to be solved
-8 + x = 23
x = 23 - (-8) = 23 + 8 = 31
HELP MEEEEEEEEEEEEEEEEEEEEEWEW
Answers
simplify 4x-x squared ÷2x-x squared
Answers
Answer:
[tex] \frac{4x - x}{2x - x} \\ = \frac{x(4 - 1)}{x(2 - 1)} \\ = \frac{3}{1} \\ = 3[/tex]
Answer:
[tex]\frac{7x}{3} \\[/tex]-[tex]x^{2}[/tex]
Step-by-step explanation:
Consider the expression 63+81 how can you use the distributive property and the gcf to find an equivalent expression?explain how you can check your answer
Answers
Step-by-step explanation:
63+81
gcf = 9
63÷9=7, 81÷9=9
so, 63+81 = (9×7)+(9×9)
= 9×(7+9)
63+81 = 144
9x(7+9) = 9×16 = 144
by how much is 2690 less than 3780
Answers
Step-by-step explanation:
Subtract 2690 from 3780
3780
-2690
=1090
Is this right help me PLEASE
Answers
Answer:
Letter B, C and E are correct
Step-by-step explanation:
hope this helps
tell if you got it right
Answer:
Letter B, C and E are correct
Step-by-step explanation:
hope this helps
Convert the following equation into slope-intercept form.
x-26y=52
Answers
Please please help me I’ve tried soooo many times
Answers
value of u = 2
Hope it helps you...
Answer:
u = 2
Step-by-step explanation:
6u + 7 = 29 - 5u
6u + 5u + 7 = 29 - 5u + 5u
11u + 7 = 29
11u + 7 - 7 = 29 - 7
11u = 22
11u ÷ 11 = 22 ÷ 11
u = 2
Enter each intercept as an ordered pair (x, y). Use a comma to separate the ordered pairs of multiple intercepts. You may enter an exact answer or round to 2 decimal places. If there are no solutions or no real solutions for an intercept enter ∅.
Answers
Answer:
mm what the de une wtah boaim msua
1.62 was multiplied by a power of ten to get 16.2. What power of ten was it
multiplied by?
10
100
1,000
Answers
Answer:
10
Step-by-step explanation:
Every time you multiply by 10 you move the decimal point one digit to the right. So if you multiply 1.62 by 10 you move the decimal point one digit to the right so it becomes 16.2.
So the answer is 10
Answer:
The answer is 10
Step-by-step explanation:
Every time you multiply by a power of 10 that does not have a negative exponent, the decimal point moves to the right.
How many times, you might wonder. It all just depends on how many zeroes there are. If there's one 0, (10) then the decimal point just moves one over, if were multiplying by 100 then 2 places over, 1000 three places over, and so on.
1.62 * 10 = 16.2, since the decimal point moved one to the right.
10 is therefore the answer, but if you wanted to you could check the other answers as well.
1.62 * 100 = 162
1.62 * 1000 = 1620
Therefore, the answer is 10. Please mark brainliest if possible. Have a nice day.
Question: An expression is shown below: f(x) = x^2 – 6x + 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Answers
Answer:
x-int > 1 and 5
vertex > 3,4
maximum
Step-by-step explanation:
you have to factor the equation(x-1)(x-5) > xint is 1 and 5
a)Loss is denoted by a negative integer and profit is denoted by a positive integer. A
cement company earns a profit of ₹ 10 per bag of white cement and a loss of ₹ 5 per
bag of grey cement. The company sells 325 bags of white cement and 500 bags of
grey cement. What is its profit or loss? PLS HELP 20 POINT PLZ
Answers
please help me please help me please help me
Answers
Answer:
B.50
Step-by-step explanation:
The two angles form a right angle ( indicated by the little square )
Right angles have a measure of 90 degrees
Hence, x + 10 + 30 = 90
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation we created
x + 10 + 30 = 90
Combine like terms
x + 40 = 90
Subtract 40 from both sides
x = 50
In randomly generated list of numbers from 0 to 4, the chance that each
number can occur is
1/4
Answers
0
1
2
3
4
So the chance of each number is 1/5 or 20%
Answer:
Foss
Step-by-step explanation:
Researchers from a large community college in California are interested in understanding the demographics of students enrolled in their online classes. The researchers collected the following data for the 2017/2018 school year.
Male Female Total
Online Only 2,000 7,000 9,000
Online and in class 8,000 1,000 9,000
Total 10,000 8,000 18,000
What does the data suggest about the relationship between sex and enrollment?
a. Females are more likely to enroll in Online Only courses than males.
b. Females are more likely to enroll in Online and In Class courses than males.
c. There are more females enrolled at the community college than males.
d. Females are equally likely as males to enroll in an Online Only course.
Answers
Answer:
a. Females are more likely to enroll in Online Only courses than males.
Step-by-step explanation:
Given
The collected data
Required
Which of the options is true
(a): Female more likely in online only courses
In online courses, we have:
[tex]Female = 7000[/tex]
[tex]Male = 2000[/tex]
By comparison:
[tex]7000 > 2000[/tex]
Hence, this statement is true
Other options are false
The side of a cube of volume 125cm3 is
Answers
Answer:
5 cm
Step-by-step explanation:
5 * 5 * 5 = 125
Hope this helps you
Hi there!
»»————- ★ ————-««
I believe your answer is:
5 cm
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{Volume of a Cube Is:}}\\\\V = s^3\\\\s-\text{Side Length}[/tex]
⸻⸻⸻⸻
We would have to take the cube root of the given measurement.⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\\rightarrow\sqrt[3]{125}\\\\\rightarrow \boxed{5}[/tex]
⸻⸻⸻⸻
The side length should be 5 cm.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A cone has a volume of 94.2 cubic millimeters and a radius of 3 millimeters. What is its
height?
Answers
Answer:
the answer is 97.2
Step-by-step explanation:
Just add 94.2+3
Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class:
Finance Majors Business Analytics Majors
n1 = 140 n2 = 30
x1 = $48,237 x2 = $55,417
s1 = $19,000 s2 = $10,000
Required:
a. Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use α = 0.05. (Let μ1 = the population mean salary for Finance majors, and let μ2 = the population mean salary for Business Analytics majors.
b. What is the value of the test statistic?
c. What is the p-value? (Round your answer to four decimal places.)
d. What is your conclusion?
Answers
Answer:
Following are the responses to the given choice:
Step-by-step explanation:
For point a:
[tex]H_0: \mu_1 - \mu_2 = 0\\\\ H_1: \mu_1 - \mu_2 < 0[/tex]
For point b:
[tex]t = -2.953[/tex]
For point c:
[tex]\to p- value = 0.0021[/tex]
For point d:
Reject [tex]H_o[/tex]. It could deduce that the pay of higher banking is considerably lower than the pay of higher project management.