Answer:
Distance = [tex]\sqrt{113}[/tex]
Step-by-step explanation:
[tex](1, 5) = (x_1,y_1)\\ (-7, -2)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\d = \sqrt{(-7-1)^2+(-2-5)^2}\\ \\d = \sqrt{(-8)^2+(-7)^2}\\ \\d = \sqrt{64+49}\\ \\d = \sqrt{113} \\\\[/tex]
Answer:[tex]\sqrt{113}[/tex]
Step-by-step explanation:
Distance formula: [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
x1=1 x2=-7 y1=5 y2=-2
----------------------------------------------------------------
[tex]\sqrt{(-7-1)^2+(-2-5)^2}[/tex]
=[tex]\sqrt{(-8)^2+(-7)^2}[/tex]
=[tex]\sqrt{64+49}[/tex]
=[tex]\sqrt{113}[/tex]
Hope this helps!! :)
Please let me know if you have any question or need further explanation
What is the area of this figure? 15 yd 4 yd 7 yd 25 yd 21 yd 22 yd
Answer:
45
Step-by-step explanation:
if you apply the changes below to the quadratic parent function, f(x)=x2, what is the equation of the new function shift 3 units left vertically stretch by a factor of 4 reflect over the a axis
Answer: B. g(x) = –4(x – 3)2
Step-by-step explanation: To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
Find the indicated function for f(x) = x^2 + 3x -1 and g(x) = 3x . Question
1. (f +g) (x) =
Answer:
Step-by-step explanation:
x^2 + 3x - 1 + 3x
x^2 + 6x - 1 is the solution
15m + (- 5m) combine like terms
Answer:
10 m
Step-by-step explanation:
15m - 5m = 10 m
both numbers have m which are alike
Answer: 10m
Step-by-step explanation: you subtract five from fifteen
Find the equation of a Horizontal line containing the point (-1,3)
Answer:
y = 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
We know that a horizontal line has a slope of zero:
Slope m = 0
y = 0x + b
y = b
Since we are trying to find a line that fits with (-1, 3), we look solely at the y-value.
y = 3
We want to find the equation of a horizontal line such that it passes through a given point.
The answer is: y = 3
We know that the general form of a horizontal line is:
y = a
Where a is a real number.
Now, we also want that our line passes through the point (-1, 3).
Notice that the y-value of the point is 3, and in a horizontal line we can have only one value of y, so the horizontal line must be:
y = 3
The graph of the line and the point can be seen below
If you want to learn more you can read:
https://brainly.com/question/10863938
please help// geometry question... i will post the other picture for this question it will be under “geometry question pt.2”
Answer:
a) E
b) line segment AB
Step-by-step explanation:
a) E
b) line segment AB (It's AB with the line over it - no arrowheads)
Answer:
a)e
b)a
c)e
Step-by-step explanation:
please show the work.
x + 2y = 33
x-y = 11
Answer:
[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]
Step-by-step explanation:
Solve by Substitution ;
[tex]\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:x+2y=33:\quad x=33-2y\\\\\mathrm{Subsititute\:}x=33-2y\\\\\begin{bmatrix}33-2y-y=11\end{bmatrix}\\\\Simplify\\\begin{bmatrix}33-3y=11\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:33-3y=11:\quad y=\frac{22}{3}\\\mathrm{For\:}x=33-2y\\\\\mathrm{Subsititute\:}y=\frac{22}{3}\\x=33-2\times\frac{22}{3}\\\\x=\frac{55}{3}\\\\x=\frac{55}{3},\:y=\frac{22}{3}[/tex]
can someone please help me with this question :)
Evaluate the expression, given functions f and g: f(x) = 3x – 2, g(x) = 7 – x2.
3f(1) - 49(-2)
f(x) = 3x – 2, g(x) = 7 – x2.
3f(1) - 49(-2)
Substitute the given value into the function and evaluate.
101
The value of 3f(1) - 49(-2) for the given function f(x) = 3x – 2 will be 101.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
Given the function,
f(x) = 3x – 2
Now,
f(1) = 3(1) - 2 = 1
So,
3f(1) - 49(-2) = 3×1 - 49(-2)
⇒ 3 + 98 = 101
Hence "The value of 3f(1) - 49(-2) for the given function f(x) = 3x – 2 will be 101".
For more about the function,
brainly.com/question/23712366
#SPJ2
What is 2 ×2×6×6×9×0×6×9×4×6÷4+1-9
Answer:
-8
Step-by-step explanation:
just put in in a calculator
Step-by-step explanation:
2×2×6×6×9×0×6×9×4×6÷4+1-9= -8
its simple just calculate in a calculater....
Find the radius of a sphere with a volume of 456cm^3
(show work)
Answer:
r≈4.775
Step-by-step explanation:
the formula for this is: r=(3V /4π)^⅓
Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x)
Complete Question
Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = 12e^x, [−6, 6] Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)
Answer:
The average is
[tex]AV = 403[/tex]
The value of x is
[tex]x = 4[/tex]
Step-by-step explanation:
From the question we are told that
The equation is [tex]f(t) = 12e^x[/tex]
The points consider is [-6 , 6]
Generally the average value of the function over the given interval is mathematically represented as
[tex]AV = \frac{1}{z-w} \int\limits^ z_w {f(x)} \, dx[/tex]
[tex]AV = \frac{1}{ 6 - (-6)} \int\limits^{6}_{-6} { 12e^x} \, dx[/tex]
[tex]AV = \frac{1}{12 } e^x| \left 6} \atop {-6}} \right.[/tex]
[tex]AV = e^6 -e^{-6}[/tex]
[tex]AV = 403[/tex]
Generally when the function equal the average we have that
[tex]f(x) = 12e^{x} = 403[/tex]
[tex]e^{x} = 34[/tex]
[tex]x = ln(34)[/tex]
[tex]x = 4[/tex]
Two functions represent the composite function h(x) = (x – 1)³ + 10 so that h(x) = (g compose f)(x). Given f(x) = x + a and g(x) = x³ + b, what values of a and b would make the composition true?
Answer:
a=-1
b=10
Step-by-step explanation:
Answer:
a: -1
b: 10
edge 2020
y’all pls help me :(
Answer: B
Step-by-step explanation:
When you are multiplying exponents, if the base is the same, then you can directly add the exponents together.
We can see that both bases are 6. That means we can add the exponents.
[tex]3+\frac{1}{4}[/tex] [common denominator]
[tex]\frac{12}{4}+\frac{1}{4}[/tex] [add]
[tex]\frac{13}{4}[/tex]
Now, we know that the answer will be [tex]6^1^3^/^4[/tex].
Solve the system of equations.
y = x2 - 2
y = -2x + 1
Answer:
x = -3 and y = 7 or x = 1 and y = -1
Step-by-step explanation:
What is two plus two?
Answer:
4 you dumba**. Jesus christ
Step-by-step explanation:
How would you round 95687 to the nearest thousand?
Answer:
96,000
Step-by-step explanation:
To round to the nearest thousand, we need to look at the digit in the hundreds place, which is 6. Since 6 > 5, we know that we need to round up (because 6 is closer to 10 than it is to 0). Currently, the number is 95 thousand so when rounding up, the answer will be 96,000.
The average daily sleep time for a domestic cat is 11.5 hours. What is this in hours and minutes?
b) An African lion sleeps 20% more than the cat. What is the sleep time of the African lion?
mathematics PLEASE HELP
Part A
1 hour = 60 minutes
0.5 hours = 30 minutes (multiply both sides by 0.5)
11.5 hours = 11 hours + 0.5 hours
11.5 hours = 11 hours + 30 minutes
11.5 hours = 11 hours, 30 minutes is the answer
========================================
Part B
20% = 20/100 = 0.20
The lion sleeps 20% more than the cat, which means the lion sleeps 0.20*11.5 = 2.3 hours more
This leads to 11.5 + 2.3 = 13.8 hours being the total time the lion sleeps
1 hour = 60 minutes
0.8 hours = 48 minutes (multiply both sides by 0.8)
13.8 hours = 13 hours + 0.8 hours
13.8 hours = 13 hours + 48 minutes
13.8 hours = 13 hours, 48 minutes is the amount of time the lion sleeps
What is the solution Set to 2a+6=2a+5+1
Answer:
Infinite Amount of Solutions
Step-by-step explanation:
Step 1: Write out equation
2a + 6 = 2a + 5 + 1
Step 2: Combine like terms
2a + 6 = 2a + 6
Here we see that we have the same slope and same y-intercept or the same equation. When this happens, our solution set is infinite amount of solutions, as any value a can be plugged in and would be true.
a swimming pool is 60m long and 25m wide. it is filled with water to a depth of 7m. find the volume of water in the pool
Answer:
10500 m³
Step-by-step explanation:
60 × 25 × 7 = 10500 m³
Cheryl thinks that the
following expressions are
equivalent:
3x + 3 = 3 + 3x + 0
Is Cheryl right? If so,
prove that these two
expressions are
equivalent. If not, what
error(s) did Cheryl make?
Answer:
yes she is right
Step-by-step explanation:3x + 3 is the same as 3 + 3x.
the zero adds nothing to the 3x term. So this means that 3x +3 and 3 + 3 are the same.
i hope this helps you.
Which numbers are factors of 32? Check all that apply.
1
2
3
4
6
8
Answer:
The answer is, 1,2,4, and 8
Step-by-step explanation:
Please help me out with this!
third
hope it helps you
Answer: (6^-8/7^-12)
Step-by-step explanation:
In this type of problems, you apply the laws of indices which stated that
( a²/b²)³ =( a²×³/b²×³)
= ( a6/b6)
From this question now, applying the above principle
(6²/7³)-4
= (6²×-⁴/7³×-⁴)
= (6^-8/7^-12)
So the answer is C
Solve xy - 3 = k solve for x
Answer:
x=(k+3)/y
Step-by-step explanation
First, we simplify by adding 3 to both sides of the equation
xy-3+3=k+3
Now it's xy=k+3
To get x we divide both sides by y
So x=(k+3)/y
Answer:
[tex]x = \frac{k + 3}{y} [/tex]
Step-by-step explanation:
Do all u can to make x stand alone.
Just obey the rules of fhe operations when they cross the equal sign.
Explain the difference between (-5)2 and -52.
Answer:
(-5)2 would become -10, whereas -52 would just stay the same. Normally, a number next to parentheses without any other signs (+,-,×,÷) means that you multiply.
The ratio of fiction to nonfiction books in a classroom library is 2 to 3 . If there are 24 books nonfiction books in the classroom library , how many fiction books are there?
Answer:
16Step-by-step explanation:
Given the ratio of fiction to nonfiction books in a classroom library is 2 to 3, then the total ratio of both books will be 2+3 = 5. If there are 24 books non fiction books in the library, to get the amount of fictionbooks that are there we will follow the following steps.
First we will calculate the total number of books in the shelf;
3/5 * Total number of books = total non fiction books
3/5 * Total number of books = 24
3*Total number of books = 5*24
3*Total number of books = 120
Total number of books = 120/3
Total number of books = 40
Therefore there are 40 total of books on the shelf.
Total number of fiction books = 2/5 * 40
Total number of fiction books = 2* 8
Total number of fiction books = 16 books
Hence there are 16 fiction books on the shelf.
3. The minimum payment on a credit card is based on the total amount owed. A credit card company uses the following rules: For a bill less than $20 the entire amount is due, for a bill of at least $20 but less than $500, the minimum due is $20. For a bill of at least $500 but less than $1000 the minimum due is $40 and for a bill of at least $1000 but less than $1500 the minimum due is $80 dollars. For a bill of $1500 or more the minimum due is 1/10th of the bill.
a. Write a function to describe the minimum payment due.
b. What is the minimum payment due if the bill is $345?
c. What is the minimum payment due if the bill is $1410?
d. What is the minimum payment due if the bill is $1700?
Answer:
b
Step-by-step explanation:
find the value of x and y if y-2x=3 and x+y=3
Answer:
x= 0 y = 3
Step-by-step explanation:
i hope it helped u!!
match each statement to the reasons given for the geometric proof. Part 2
Answer: 5, 3, 2, 4, 1
Step-by-step explanation:
The proof should be written as follows:
Statement Reason
1. ABCD is a parallelogram 1. Given
2. AB||CD and AC||BD 2. Definition of a parallelogram
3. ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD 3. Corresponding Angles Thm
4. ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC 4. Transitive Property of Cong
5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD 5. Alternate Interior Angles Thm
This is the order provided in your question:
5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD 5. Alternate Interior Angles Thm
3. ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD 3. Corresponding Angles Thm
2. AB||CD and AC||BD 2. Definition of a parallelogram
4. ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC 4. Transitive Property of Cong
1. ABCD is a parallelogram 1. Given
Note: #2 & #4 might be reversed