Answer:
Step-by-step explanation:
to find the length of a diagonal of a square, you would multiply the length of a side by the square root of 2. so 5[tex]\sqrt{2}[/tex] ≈7.07 inches, but since it's the nearest tenth, the answer would be 7.1 inches
question is attached
Hello!
[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]
[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]
Find the inverse by swapping the x and y variables:
[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]
Begin simplifying. Multiply both sides by 4y - 5:
[tex]x(4y - 5) = 2y + 2[/tex]
Start isolating for y by subtracting 2 from both sides:
[tex]x(4y - 5) -2 = 2y[/tex]
Distribute x:
[tex]4yx - 5x - 2 = 2y[/tex]
Move the term involving y (4yx) over to the other side:
[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]
Factor out y and divide:
[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]
Use this equation to evaluate [tex]f^{-1}(3)[/tex]
[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]
I need help please!!!!!!!
which postulate or theorem justifies the congruence statement, ABE is congruent to CDE?
- SSS
- SAS
- ASA
- AAS
Answer:
SAS
Step-by-step explanation:
Hope this helps:)
Answer:
SAS
Step-by-step explanation: You can use vertical angles congruence theorem for angles AED and BEC which gives you an angle, using taht info you can detremine that its SAS
Simplify all four questions correctly-
(p - 3) + (p - 7)
(3n - 1) + ( -n + 4)
(-t + 5) + (3t + 2)
(7k + 9) + (4k - 3)
Answer:
1. 2p - 10
2. 2n + 3
3. 2t + 7
4. 11k + 6
Step-by-step explanation:
14 butter cookies 7 oatmeal cookies
Answer:
what?
Step-by-step explanation:
can you give me some more details
can you help plzzz
Answer:
1.1 ithink
Step-by-step explanation:
HELP ASAP
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
What is the percent of change from 5,000 to 9,000?
Answer:
40%
Step-by-step explanation:
10000 = 5000 = 50% + 9000 = 40%
The perimeter of a triangle is 108ft. The sides lengths are in a ratio of 2:3:7. How long is the shortest side?
Answer:
18ft
Step-by-step explanation:
2+3+7 = 12 (this means that 108ft is [tex]\frac{12}{12}[/tex])
The shortest side would be [tex]\frac{2}{12}, or \frac{1}{6}[/tex] of 108ft
To find this, we divide 108 by the denominator (6) to get 18ft
We would usually multiply this by the numerator when finding a fraction of an amount, but as the numerator is 1, the answer would stay as 18ft.
A)
y<-2x + 4 and y< 2x + 4
B)
y< -2x + 4 and ys 2x + 4
C)
y> -2x+ 4 and ys 2x + 4
D)
ys -2x + 4 and ys 2x + 4
Answer:
Step-by-step explanation:
B
Answer:
shhhhhhhhhsghhhhhhsghhhhhsgshhhhh
Mia drew a map of a park. Mia’s map shows the endpoints of the walking paths at A(2, 2), B(2, 6), C(8, 6), and D(8, 2). There are 6 walking paths: AB, BC, CD, AD, AC, and BD. Are walking paths AC and BD perpendicular?
Answer:
yes, both lines are somewhere on the top and the bottom going straight
The lines graphed below are perpendicular. The slope of the red line is 4 what is the slope of the green line
m=
Answer:
m=-1/4
Step-by-step explanation:
Perpendicular lines are negative reciprocals.
So if you have a slope of m= 4x you can break it up into, two parts
m= -4x
this is the negative^
and the reciprocal of m= -4x is m= -1/4x
The slope of the green line if the lines are perpendicular would be -1/4.
How to find if two lines are perpendicular to each other?If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other.
That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a.
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
For the two lines two be perpendicular, the product of their slope must be -1.
Let the slope of the red and green line be m1 and m2.
Given the following
The Slope of red line = 4
According the definition, we get,
4m2 = -1
m2 = -1/4
Hence, the slope of the green line if the lines are perpendicular is -1/4
Learn more on perpendicular lines here:
brainly.com/question/1202004
#SPJ5
A set of 6 water bottles are sold for 12. What is the unit cost per water bottle?
$2.00 US Dollars is the answer
estimate 24% of 402
A. 400
B. 100
C. 25
D. 1600
If sally has 12 lollipops but gives 2 away how many does sally have left? Easy question for points! EXPLAIN YOUR ANSWER FOR BRAINLIEST
A) 10
B) She has cavities
C) 5
D) Sally is a bum
Answer:
A) 10
Step-by-step explanation:
12 Lollipops - 2 = 10 Lollipops
Use the triangle to answer the question. What is the value of x?
Answer:
B). 48
Step-by-step explanation:
48•64=3072
3072÷64=48
Answer:
value of X=180-(48+48)
=180-96
=84
PLEASE HELP ASAP!!!
I will mark brainliest if there are multiple answers!!!
Answer:
80%
Step-by-step explanation:
Not so sure about the answer, but hopefully it helps.
Nohdjxjxhxhxhdhdjdjfjdjdhfhfjfjfj
Answer:
gfdxkcgftdkrxclfdrkyxcfdretkx
Step-by-step explanation:
A shopkeeper buys 10 television sets from a retailer at a rate of Euro 15,000 per set. He sells half of them at a profit of 25 % and rest half at a loss of 20%. Find the overall profit/loss faced by the shopkeeper.
Answer: Profit of $3,750
Step-by-step explanation:
Sold half of the sets at a profit of 25%;
= (15,000 * 5 sets) * 25%
= $18,750
Sold the other half at a loss of 20%;
= (15,000 * 5) * 20%
= $15,000
Profit (loss) = 18,750 - 15,000
= $3,750
Write y= -1(x-4.5)^2 + 15.25 in standered form
Given:
The equation is
[tex]y=-1(x-4.5)^2+15.25[/tex]
To find:
The standard form of the given equation.
Solution:
We have,
[tex]y=-1(x-4.5)^2+15.25[/tex]
It is a quadratic equation.
The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.
[tex]y=-(x-4.5)^2+15.25[/tex]
[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=-[x^2-9x+20.25]+15.25[/tex]
[tex]y=-x^2+9x-20.25+15.25[/tex]
[tex]y=-x^2+9x-5[/tex]
Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].
Ray has 3 boxes of chocolates. Each box has 4 layers of chocolates. Each layer has 4 rows of 4 chocolates each. He distributes all the chocolates equally among 16 friends. Identify the expression and the value that give the number of chocolates that each of Ray’s friends gets.
Answer:
I believe it is (3*4*4*4)/16=12
hopefully its right and it helped!
Step-by-step explanation:
happy to help
hhh- please help-!
Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest (for example, 22
Answer:
2 * 3 * 7 = 42
Step-by-step explanation:
2,3 and 7 are prime numbers
Swimming Pool On a certain hot summer's day, 519 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1045.25. How many children and how many adults swam at the public pool that day? There were nothing children at the public pool.
Answer:
children= 245
adults= 274
Step-by-step explanation:
Step one:
let the number of children be x
and adults be y
So
1.75x+2.25y=1045.25------------1
and
x+y=519---------------2
the systems of the equation for the situation is
1.75x+2.25y=1045.25------------1
x+y=519---------------2
from 2, x= 519-y
put x= 519-y in 1
1.75(519-y)+2.25y=1045.25
908.25-1.75y+2.25y=1045.25
collect like terms
1.75y+2.25y=1045.25-908.25
0.5y=137
divide by 0.5
y=137/0.5
y=274
put y= 274 in 1
x+274=519
x=519-274
x=245
An architect is using the scale 10 feet = 1 inch. If the actual length of the room 65 feet, what will be the length of the scaled copy?
Answer:
6.5 inches
Step-by-step explanation:
you would divide 65 by 10 feet to get the answer in inches which is 6.5
28. (03.05 MC) Martin walked away from his school at a constant velocity for the first 30 seconds. He realized that he had to pick up a book from his friend's house which he had already passed. He turned around and walked to his friend's house at a constant velocity for 10 seconds. He stopped at his friend's house for 40 seconds and then walked away from school again at a constant velocity for the next 20 seconds. Which of the following graphs best represents Martin's motion? (5 points) First straight line joins ordered pairs 0, 0 and 40, 25, second straight line joins 40, 25 and 80, 25, and third straight line joins 80, 25 and 100, 10 First straight line joins ordered pairs 0, 0 and 30, 25, second straight line joins 30, 25 and 40, 20, and third straight line joins 40, 20 and 100, 50 First straight line joins ordered pairs 0, 0 and 30, 25, second straight line joins 30, 25 and 40, 20, third straight line joins 40, 20 and 80, 20, and fourth straight line joins 80, 20 and 100, 10 First straight line joins ordered pairs 0, 0 and 30, 25, second straight line joins 30, 25 and 40, 20, third straight line joins 40, 20 and 80, 20, and fourth straight line joins 80, 20 and 100, 50
Answer:
The answer is A
Step-by-step explanation:
I did it in FLVS
-3x + 8 = 11
pls help
Answer:
x=-1
Step-by-step explanation:
I’ll mark you brainlist I’ll mark you brainlist
Answer:
its -2 ok trust me okkkkkkkkkk
Answer:
i believe it is -4/3
Step-by-step explanation:
its hard to see the intersection points but they line up every 4 down and over 3
The temperature was 8 degrees below zero at 5 A.M. By 1 P.M. the temperature had risen 23 degrees. What was the temperature at 1 P.M.?
Answer:
15 degrees
Step-by-step explanation:
I really need some help somebody