Answer:
Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units
Step-by-step explanation:
Here, we want to use the absolute value of the coordinates to find the distances.
Since we are using absolute values, the negative points becomes positive;
Thus;
Q = (4,2)
R = (3,2)
S = (3,5)
Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;
D = √(x2-x1)^2 + (y2-y1)^2
The distance QR is thus;
D = √(3-4)^2 + (2-2)^2
D = √(-1)^2 + 0
D = √1 = 1 unit
The distance RS is thus;
D = √(3-3)^2 + (5-2)^2
D = √(0) + (9)
D = √9 = 3 units
find the next two numbers in the pattern -2,20,-200,2000
f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 units downward.
Answer:
-7/(x-5) - 3
Step-by-step explanation:
First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.
Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.
Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.
Using translation concepts, it is found that the new definition for the function is:
[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]
----------------------------
The parent function is:
[tex]f(x) = \frac{1}{x}[/tex]
A vertical stretch by a factor of a means that the function is multiplied by a.Factor of 7, thus:[tex]g(x) = 7 \times \frac{1}{x} = \frac{7}{x}[/tex]
Reflection over the y-axis means that we have g(-x), thus:[tex]g(-x) = \frac{7}{-x} = -\frac{7}{x}[/tex]
Translating a units to the right is g(x - a), 5 units, thus:[tex]g(x) = -\frac{7}{x - 5}[/tex]
a units downward means that a is subtracted from the function, 3 units, thus:[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]
A similar problem is given at https://brainly.com/question/19383602
Austin is building a miniature replica of the empire state building. the actual empire state building is 1,423 feet tall and 6,000 feet wide. if Astin's replica has a width of 60 centimeters, what is the hight of his empire state building replica rounded to the nearest centimeter?
60/6000 = x/1423
100/1 = 1423/x
100x = 1423
x = 14.23 --> About 14 cm
anyone know this !! I'll brainlist u
Answer:
Step-by-step explanation:
Number of days = y
Number of weeks = x
1 week = 7days
Formula = 7x = y
13 weeks = 7(13) = 91 days
29 weeks = 7(29) = 203 days
7.5 weeks = 7(7.5) = 52.5 days
Help needed ASAP will give you BRAINLIEST and 5 stars RATE
Answer:
Illustration (A)
Step-by-step explanation:
An Illustration a book or newspaper or something else that gives a brief explanation on a topic which helps us understand. Like a print feature, I could draw and make a article on a Print feature.
if x=4 and y=1 then what is 3x + y + 2x squared minus 3 + y
Answer:
I think it is 73
Answer: 439
Step-by-step explanation:
The best approximation for sqrt 10 is
25 3.1 5 10”
Answer:
3.1
Step-by-step explanation:
Work out the size of angle x
Answer:
Let's name the angle right close to 51 as c.
c = 180°-51° since angles on a straight line is equal to 180°.
so c= 129°
so x = 129° since it corresponds to c
Answer:
Step-by-step explanation:
Notice that the line that the variable x is on is equal to 180 degrees. Because the angle that it is next to is equal to 51 degrees, you subtract 180 from 51:
180-51=129
The final answer to this problem is 129 degrees.
If the shoes cost $25 and he spent $78.85 before tax, how
much do each pair of shorts cost?
Answer:
The shorts cost $53.85
Step-by-step explanation:
The shoes cost $25, and so if he paid $78.85, then the shorts are $53.85.
7/10x-2=2/5x+1
I need what x equals
Answer:
x= 10
Step-by-step explanation:
I used a calculator. U can factor it to get an answer.
I NEED HELP ASAP!!!!!!! WHAT IS 8 3/5x 2 5/8?
Answer: 22.575
If you round up, it is 22.6.
I hope you get a 100! Best of luck!!!
I need help on 1 and 2, please :)
Answer:
you cute no cap
Step-by-step explanation:
» How many millimeters are in 9.4 centimeters?
Answer:
9.4 centimeters = 94 millimeters
10y=10y
what is the property of equality
Answer: Reflexive property of equality
This property says that any expression is equal to itself.
The reflexive property of congruence is a similar property, but it deals with congruences.
Answer:
The property will equal itself
Step-by-step explanation:
WHATS THE PERIMITER PLS HELP ME
What two integers is square root 50between
Is -90 a integers please help me
Answer:
Yes
Step-by-step explanation:
Any number that's a WHOLE NUMBER like 1, 2, 3, -1, -2, -3 etc. is an integer! (including negative numbers as listed.) However any fractions or decimals are NOT integers.
Hope this helps and have a nice day!
The length of cell A is 8x10 to the power of negavtive 6 m. The length of cell B is0.0000004 m. What is the ratio of cell A's length to cell B's length? Use pencil and paper. Is it easier to find the ratio when the numbers are expressed in scientific notation or in standard form? Explain your reasoning.
Answer:
Ratio of length of cell A to cell B is 20 : 1
Step-by-step explanation:
Length of cell A = [tex]8\times 10^{-6}[/tex] m
Length of cell B = 0.0000004 m
Convert the length of cell B into scientific notation.
Length of cell B = [tex]4.0\times 10^{-7}[/tex]
Now the ratio of the lengths of cell A and cell B = [tex]\frac{8.0\times 10^{-6}}{4.0\times 10^{-7}}[/tex]
= [tex]2\times 10^{7-6}[/tex]
= 20
Therefore, ratio of length of cell A to cell B is 20 : 1
Help.. I’ll give the crown thing to whoever can find me the simplest radical form of this
Answer:
√x
Step-by-step explanation:
The given expression
1/x^-3/6
Can be written as
1/x^-1/2
Use the negative exponent rule
1/x^n = x^n
Using the rule from above above
1 * x^-1/2
1 * √x =
√x
Write the given number in standard notation 7.8 x 10^6
Answer:
7,800,000
Step-by-step explanation:
what is 3.50 divied by 12
Answer:
0.29
Step-by-step explanation:
Yuri read 17 books.
Hiro read 5 books.
How many more books did Yuri read than Hiro?
books
help pls quick
Answer:
Yuri read 12 more books than Hiro.
Step-by-step explanation:
17-5=12
Explain! Reward! Thank you!
Answer:
I think it would be 30 seconds
PLEASE HELP MEH I NEED THIS HELP PLSSSSSSSSSSSSS
Answer:
I would say A but I'm not sure
Step-by-step explanation:
Sry if I' m wrong <3
Answer:
Step-by-step explanation:
The lease value is D
-√(16) = -4 is the least
simplify: -1.5(-3.6+2)
1) 7.4
2) -3.1
3)-8.4
4)2.4
Answer:
4)2.4
Step-by-step explanation:
-1.5 ( -3.6 + 2 )
To solve this problem, we apply PEMDAS.
This is the order of operation for mathematical problems.
P Parentheses
E Exponent
M Multiplication
D Division
A Addition
S Subtraction
-1.5 ( -3.6 + 2 )
Do the problem in the parentheses first,
= -1.5 x (-1.6)
= 2.4
PLZZZ SEND HELPPP ANSWER QUICKK
Answer:
The answer is C 2^3
hope this helps!!!
Answer:
2^3
Step-by-step explanation:
Ok, let's jump right in!
Multiply 2^6 by 2^−3 by adding the exponents.
Use the power rule a^m a^n = a^m+n to combine exponents. Therefore, we get:
2^ 6-3
Subtract 3 from 6.
2^3
TIP: For next time remember that when you have to multiply exponents you that have the same base number you really just have to add the exponents.
If p(x)=(3x+2)(2x−3), what are the zeros of the polynomial?
x=-23 and x=32
x=23 and x=-32
x=-2 and x=3
x=2 and x=-3
Answer:
Option A is the correct answer. ; x=-2/3 and x=3/2
Step-by-step explanation:
We have been given that p(x)=(3x+2)(2x−3) is a polynomial.
According to the question's statement, Question asks us to find the zeros of the polynomial.
Let's head to the question in order to get required answer.
p(x)=(3x+2)(2x−3)
=> p(x) = 3x(2x-3) + 2(2x-3)
=> p(x) = 6x² - 9x + 4x - 6
=> p(x) = 6x² - 5x - 6 (This is the standard form for the given polynomial)
Now, We need to find the zeros of the polynomial. So, In order to find its zeros, we need to put p(x).
p(x) = (3x+2)(2x-3)
=> 0 = (3x+2)(2x-3)
=> (3x+2) = 0 or (2x-3) = 0
=> x= -2/3 or x = 3/2
Hence, If p(x)=(3x+2)(2x−3), x = -2/3 & x= 3/2 are the zeros of the polynomial.
is the angle corresponding, alternate interior, alternate exterior or consecutive interior
What are the coordinates of R’S’T’ if the figure is reflected over the x-axis and translated down two units?
Answer:
Is there a picture to this?
the first to answer correctly gets brainliest
Answer: 7.5
Step-by-step explanation:
