Please help!!
4) Use the figure below to answer parts A and B. Show your work. (4 Points)
A.)Explain, in words, a series of rigid motions that would map ∆MJS onto ∆DWP.
B.)Write the ordered-pair rule for each transformation in the sequence
Answers
The series of rigid motions that would map ∆MJS onto ∆DWP are:
a.) A rotation of 90 degrees about the point J in the clockwise direction.
b.) A translation of 1 units to the right and 5 units up.
Part B:
The ordered-pair rule for each transformation in the sequence are:
a.) R (J, 90 degrees)
b.) (x, y) → (x + 1, y + 5)
Related Questions
What is the product of 6+5i and 4+7i?
Answers
= 35i² + 62i + 24
The product of 6+5i and 4+7i is 35i² + 62i + 24.
Answer:
-11+62i
Step-by-step explanation:
(6+5i)(4+7i)
Use the Distributive Property
24 + 42i + 20i + 35i²
Combine like terms
24+62i+35i^2
i^2 = -1
24+62i+35(-1)
24+62i+(-35)
24+(-35)= -11
-11+62i
Solve for x.
−1/3x≤−6
Answers
Answer:
x ≥ 18
hope this helps! <3
The solution of the inequality is x ≥ 18.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
We have −1/3x≤−6
Now, Multiply the inequality 3 from both side
-3x /3 ≤ -6 x 3
-x ≤ -18
Multiply (-1) to both side as
x ≥ 18.
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Help please!! Find domain and range for 20 points
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Let the random variable x denote the natural numbers selected at random from one to one hundred. find the mean of x.
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Darnell needs to raise $176 to buy his favorite bicycle. he has $49 in the bank and his mother told him she would pay him $12 to mow the yard. if he continues to get $12 for each lawn he mows, how many yards will he have to mow, including his mother's, to be able to buy the bike?
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Which of the following represents ninth root of x to the seventh power in exponential form?
Answers
Answer:
[tex]x^{\frac{7}{9}}[/tex]
Step-by-step explanation:
write ninth root of x to the seventh power in exponential form
[tex]\sqrt[9]{x^7}[/tex]
To write the radical in exponential form we use the below property
[tex]\sqrt[n]{x^a} = x^{\frac{a}{n}}[/tex]
The radical becomes the base of the fraction
[tex]\sqrt[9]{x^7}=x^{\frac{7}{9}}[/tex]
we cannot simplify the fraction.
The given expression in exponential form is
[tex]x^{\frac{7}{9}}[/tex]
If two fair dice are rolled 10 times, what is the probability of at least one 6 (on either die) in exactly five of these 10 rolls?
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A triangle with sides of lengths 16, 30, and 35 is a right triangle. A.True B.False
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cos those sides ain't a Pythagorean triplet
answer is False
A certain sequence is defined such that the th term in the sequence is equal to n n how much greater is the 10th term th term in the sequence?
Answers
Treat this like a function question, only instead of f(n) = n^2 + 1, you’re told that the nth term equals n^2 + 1. Different language, same exact result:
The 7th term will be 7^2 + 1 = 50, and the 10th term will be 10^2 + 1 = 101. 101 is 51 greater than 50.
Final answer:
To find how much greater the 10th term is compared to the nth term in a sequence, we need the sequence's rule. Assuming the rule is n^2, the 10th term is 10^2. The difference would be 10^2 - n^2, but without the value for n or a clear sequence definition, the numerical difference remains unknown.
Explanation:
The question appears to be asking for the 10th and nth terms of a defined sequence, but there seems to be a typo or missing information specifying the rule for the sequence. To find how much greater the 10th term is compared to the nth term, we would first need the explicit formula for the sequence. If the sequence is defined such that the nth term is n2, then the 10th term would be 102, and the nth term would be n2. The difference between the two terms is then 102 - n2. Without the value for n or a proper sequence definition, we cannot find the actual numerical difference.
help me and show how you got it please
Answers
[tex]\bf \sqrt{102}\implies 10.099 \\\\\\ \sqrt{121}\implies 11\quad \checkmark \\\\\\ \sqrt{125}\implies 11.18 \\\\\\ \sqrt{144}\implies 12\quad \checkmark \\\\\\ \sqrt{225}\implies 15\quad \checkmark \\\\\\ \sqrt{240}\implies 15.49[/tex]
5)
check the 1st picture below.
thus
[tex]\bf base\implies \cfrac{1}{4}=x\cdot x\implies \cfrac{1}{4}=x^2\implies \sqrt{\cfrac{1}{4}}=x\implies \cfrac{\sqrt{1}}{\sqrt{4}}=x \\\\\\ \boxed{\cfrac{1}{2}=x}\qquad \qquad V=x^3\implies V=\left( \cfrac{1}{2} \right)^3\implies V=\cfrac{1^3}{2^3}\implies \boxed{V=\cfrac{1}{8}}[/tex]
6)
check the 2nd picture below
[tex]\bf 233=x^2+64\implies 233-64=x^2\implies 169=x^2\implies \sqrt{169}=x \\\\\\ \boxed{13=x}\qquad \qquad railing\implies x+x+(x+8)+8+8+\stackrel{\textit{little corner}}{(x-8)}[/tex]
When h has the value of 5 calculate 6h +9
Answers
6h+9 —> 6(5)+9
6•5=30 —> 30+9= 39
If it starts out at -10 degrees, what will the temperature be if it rises 30 degrees?
A.10 degrees
B.20 degrees
C.30 degrees
D.40 degrees
Answers
add 30 to -10:
-10 + 30 = 20
Answer is B.
Which form details how much money an employer has withheld for taxes? w-2 a-5 t-10 m-9?
Answers
Answer:
The answer is W-2 form.
Step-by-step explanation:
The answer will be the W-2 Form.
The W-2 form is basically a wage and tax statement. This form is sent by an employer to his employees and to IRS at each year end.
This form tells about the employee's annual wages and the amount of taxes withheld from his paychecks.
If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes? 133.9 in.3 137.6 in.3 141.9 in.3 145.6 in.3
Answers
V = 4/3 pi r^2
V = 523.6
Volume of women's basketball
V = 4/3 pi r^2
V = 381.7
Difference = 523.6 - 381.6
= 141.9 in^3
Which of the following is the absolute value parent function
Answers
It is Choice B. because all the other choices are transformations of the parent function except for Choice D. which is just a line on the x-axis.
Answer: Option B |x| and Option C |x|-1
Explanation:
Absolute function is the function that gives the positive value of any variable even of negative variable.
For example if -1 is operated under absolute function that is |-1| gives the value 1
Option A is incorrect because [tex]\frac{1}{x}[/tex] is not written under the denotion of absolute function.
if we say 'x' is an absolute function it will be denoted by |x|.
Option D is incorrect again because it is not written under the denotion of absolute function.
Absolute function or modulus function is same .
A motorboat takes 4 hours to travel 128 mi going upstream. the return trip takes 2 hours going downstream. what is the rate of the boat in still water and what is the rate of the current
Answers
We can now construct a system of equations where x = the speed of the both and y = the current...
Going upstream: x - y = 32
Going downstream: x + y = 64
Solve this system of equations!
x - y = 32
x = 32 + y
(32 + y) + y = 64
2y + 32 = 64
2y = 32
y = 16
Subtitute 16 for y in the first equation...
x - 16 = 32
x = 48
Rate of the boat in still water = 48mph
Rate of the current = 16 mph
Find the value of x and y.
A. X=73.3, Y=15.3
B. X=73.3, Y=20.7
C. X=100, Y=10
D. X=100, Y=26
Thank You!
Answers
What is the perimeter of a rectangle if the length of the short sides are 5", and the other sides are both y?
Answers
perimeter = 2L +2W
perimeter = 2Y +2(5)
perimeter = 2y+10
Add.
(−8x4+x3+2x2+2)+(−x4+5x3−x2+5x)
Enter your answer, in standard form, in the box.
Answers
= -8x⁴ + x³ + 2x² + 2 + -x⁴ + 5x³ - x² + 5x
= -9x⁴ + 6x³ + x² + 5x + 2
solve the system by substitution. -4.5-2y=-12.5 , 3.35x-y=-0.75
Answers
[tex]-2y = -12.5 +4.5[/tex]
[tex]-2y=-8[/tex]
[tex]y= \frac{8}{2}[/tex]
[tex]y=4[/tex]
Then, we substitute the y value in the other equation and solve for x:
[tex]3.35x-(4)=-0.75[/tex]
[tex]3.35x=-0.75+4 [/tex]
[tex]3.35x=3.25[/tex]
[tex]x= \frac{3.25}{3.35} [/tex]
[tex]x= \frac{65}{67} [/tex]
12x^2 −75=3(2x+?)(2x−5)
What is the missing term in the factorization
Answers
The answer is 3 • (2x + 5) • (2x - 5).
To find the missing term in the factorization, we rewrite the equation in the form of ax^2 + bx + c = 0, equate the coefficients and solve for the term. The missing term is -25.
Explanation:
To find the missing term in the factorization, we can rewrite the given equation in a general form of the quadratic equation like ax^2 + bx + c. In our case, this would be:12x^2 - 3(4x^2 - 10x + ?) = −75. Here, 'a' has a coefficient of 12, 'b' is -10 multiplied by 3 (the '3' outside the brackets), and 'c' is ? multiplied by 3. By equating the coefficients on both sides of the equation, we can solve for the missing term '?'. Therefore, the missing term is '? = -75 / 3' or '? = -25'.
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What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
y−4=−911(x+8)
y+4=−911(x−8)
y−4=−15(x+8)
y+4=−15(x−8)
plzzz helppppppp meeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
y - y1 = m (x - x1)
First, we gotta find the slope of (3, -5) and (-8, 4)
m = 4 - (-5) / -8 - 3 = 4 + 5 / -8 + (-3) = 9 / -11 = [tex] -\frac{9}{11} [/tex]
Now all we gotta do is plug one of the points into Point-Slope Form
y - 4 = [tex]- \frac{9}{11} [/tex] (x - (-8))
y - 4 = [tex]- \frac{9}{11} [/tex] (x + 8)
So the answer choice would be the first one, or A.
The equation of the line is y - 4 = (-9/11)[x + 8] which passes through the points (3, −5) and (−8, 4) option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The two points are: (3, −5) and (−8, 4)
As we know,
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
The equation of the line:
y - 4 = (4+5)/(-8-3)[x + 8]
y - 4 = (-9/11)[x + 8]
Thus, the equation of the line is y - 4 = (-9/11)[x + 8] which passes through the points (3, −5) and (−8, 4) option (A) is correct.
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An exterior angle of a triangle equals the sum__________.
of the interior angles
other exterior angles
the remaining vertical angles
of the two remote interior angles
Answers
An exterior angle of a triangle equals the sum of the two remote interior angles.
You can get more information on this by reading the exterior angle theorem.
It states that the exterior angle is equal to the measures of two remote interior angles.
Hope This Helps You!
Good Luck :)
- Hannah ❤
What adds together to equal -7
Answers
-4+-3
Or a negative and positive number
-14+7
The sum of two numbers is 62 . the larger number is 22 more than the smaller number. what are the numbers?
Answers
larger number: 22+x
x+(x+22)=62
2x+22=62
2x=62-22
2x=40
x=40/2
x=20
The smaller number is 20 and the bigger number is 22+20= 42
Hope I helped :)
Kayla claims that the absolute value of a number is always greater than the number itself. Which statement about her claim is true? Kayla is correct. Any positive number is greater than a negative, and absolute value of a number is always positive. Kayla is correct. The distance between 0 and a number is always more than the number. Kayla is incorrect. The absolute value of a positive number is negative, and negative numbers are less than positive numbers. Kayla is incorrect. The absolute value of 0 or a positive number is equal to the number.
Answers
Solution:
The Claim that Kayla has made that absolute value of a number is always greater than the number itself is not true.
The correct statement should be, :
The Absolute value of a number is always greater than or equal to the number itself is a true statement.
Symbolically, | x | ≥ x , if x is a real number.→→True statement
Out of four options, given
Option(D)→ The Claim made by Kayla is incorrect.As, The absolute value of 0 or a positive number is equal to the number.
PLEASE HELP !!! JIM :)
1. Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:
y < two thirdsx + 2
The origin is not included in the shaded region and the shaded area is above the line.
The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.
Answers
Plug (x,y) = (0,0) into the inequality
y < (2/3)x + 2
0 < (2/3)*0 + 2
0 < 0 + 2
0 < 2
The last inequality is true so we do shade the entire region that has the origin in it. In other words, the origin is in the shaded region. For this function, the origin is below the boundary line so the shaded region is below the line
Answer: choice D
==============================================================
Problem 2
x = number of liters of fruit syrup
y = number of liters of water
"The total number of liters of syrup (x) and water (y) is 7 liters" so x+y = 7 which leads to y = -x+7
This graph is the line through (0,7) and (7,0). Every choice seems to have this graph shown.
"Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup" so we have the equation
3x = 2y+6
which solves to
y = (3/2)x - 3
This line goes through the points (0,-3) and (2,0)
Choice D looks cut off but it looks like choice D is the answer as its the only one with (0,-3) on the line
concert tickets cost $15 for general admission, but only $9 with a student ID. ticket sales total $4500. wirte and graph ab equation that models this situation. explain how to use your graph to find how many student tickets were sold if 200 general admission tickets were sold
Answers
The equation is given as 15x + 9y = 4500
The tickets sold when 200 are sold is y = 166.7
How to model the equation
The equation that models this would be
$15x + $9y = $4500
15x + 9y = 4500
If 200 admission tickets were sold we would have
15 * 200 + 9y = 4500
3000 + 9y = 4500
9y = 4500 - 3000
9y = 1500
y = 166.7 please approximate because tickets number has to be whole
The approximated total tickets that were sold is given as 167
Use your graph to check for the value of the corresponding y side if 200 tickets are sold
PLEASE HELP!!!!!!!!!!! 35 POINTS
Please solve the following inequality, showing all work and then list 3 numbers that are in the solution set.
-4x – 3 < 29
Answers
-4x-3<29
-4x-3+3<29+3
-4x<32
-4x/-4<32/-4
X<-8
Michael has $1.95 in his collection, consisting of nickels and quarters. the number of nickels is three more than the number of quarters. how many nickels and quarters does michael have