Answer:
c = -25
Step-by-step explanation:
1. 23 - 6c = 48 - 5c
(add 5c to both sides)
2. 23 - c = 48
(subtract 23 from both sides)
3. -c = 25
(divide by -1 to both sides)
c = -25
Can anybody help find the line of reflection??
I'll do part (a) to get you started. Part (b) will follow the same sort of steps.
In part (a), we have these two points
A = (-3,2)B = (3,8)You can call the points any letters you want. Let's find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (8-2)/(3-(-3))
m = (8-2)/(3+3)
m = 6/6
m = 1
The slope of line AB is 1.
The mirror line will have the negative reciprocal of this slope, so the slope of the mirror line is -1. In other words, the mirror line slope is perpendicular to line AB. We'll use this perpendicular slope later.
-------------------------------------------
Next, we find the midpoint of segment AB
Average the x coordinates to get (x1+x2)/2 = (-3+3)/2 = 0/2 = 0
Repeat for the y coordinates: (y1+y2)/2 = (2+8)/2 = 10/2 = 5
The midpoint of AB is (0,5)
-------------------------------------------
The mirror line will have two defining traits
The slope of the mirror line is m = -1The mirror line goes through the midpoint (x,y) = (0,5)So,
y = mx+b
y = -1x+b ... plugging in that perpendicular slope
5 = -1*0+b .... plugging in (x,y) = (0,5)
5 = 0+b
b = 5
The equation of the mirror line is y = -x+5 as shown in the diagram below. The mirror line is shown in green. Point D isn't important as it's just used to help set up the 90 degree angle.
This wraps up part (a) and I'll let you handle part (b). If you're stuck, then feel free to ask.
Use f(x) = 1/2 and f^-1(x) = 2x to solve the problems.
f(2)=
f^-1(1) =
f^-1(X2)) =
Answer:
Solution:
When X=2
f(2)=1/2
= 1/2
When X= 1
f^-1(1)= 2*1
=2
When X=2
f^-1(2)=2*2
= 4
Step-by-step explanation:
I don't know if these are correct and if that last question is f^-1(2) or not.
What is 4 ten thousands 3 tens divided by 10
Answer:
The answer is : 4003.
because 40 030 : 10 = 4003
Thank You!
MATH
HELP
FIND THE EQUATION OF THE LINE
y=3/3x+-2
Step-by-step explanation:
it goes up 3 and over 3 so its 3/3 and it starts at -2
Hi there!
[tex]\large\boxed{y = \frac{3}{4}x - 2}[/tex]
y = mx + b
To find the equation, we can begin by deriving the slope (m):
slope = y2-y1/x2-x1
Find two points:
(0, -2) and (4, 1)
Plug these into the slope equation:
slope = 1 - (-2) / 4 - 0
slope = 3/4
We know that there is a y-intercept of y = -2 (b value), so:
y = 3/4x - 2
hey can you guys give me a list of what times 3 equal 25
Answer:
Nothing
Step-by-step explanation:
Nothing times 3 will equal 25
Explain why XYZ is a monorail and x+y+z is a trinomial
Answer:
hello
Step-by-step explanation:
:)
Answer:
XYZ is monomial because it is a single term and X+y+z is a trinomial because it has 3term
Find x if:
B is between A and C;
AB=x+5;
BC=2(x – 3); and
AB ≅ BC .
Answer:
x = 11
Step-by-step explanation:
x + 5 = 2(x - 3)
x + 5 = 2x - 6
(x - x) + 5 = (2x - x) - 6
5 = x - 6
5 + 6 = x (- 6 + 6)
x = 11
Multiply 1 over 2 multiplied by negative 1 over 4 . Which of the following is correct?
a
negative 1 over 8
b
negative 1 over 9
c
negative 1 over 10
d
negative 1 over 16
Answer:
im pretty sure its A
Step-by-step explanation
In HER COLLEGE ENGLISH CLASS MARTA WROTE A TOTAL OF. 15,000 WORDS IN ESSAYS THREE OF MARTA’S ESSAYS WERE 1,000 WORDS LONG AND THE REST ARE 2,000 WORDS LONG HOW MANY 2,000 WORD ESSAYS DID SHE WRITE
Answer: 6 essays
Step-by-step explanation:
With the given question, we can write out an equation.
Equation: 3(1000)+2000x=15000
We have 3(1000) because 3 of Marta's essays have 1000 words. We have 2000x because there are 2000 words, but we don't know how many essays. Lastly, we have 15000 because that is the total number of words. All we have to do is solve for x.
3(1000)+2000x=15000 [multiply]
3000+2000x=15000 [subtract both sides by 3000]
2000x=12000 [divide both sides by 2000]
x=6
Now, we know there are 6 essays.
Sixth grade > H.5 Divide decimals by whole numbers: word problems TWZ
You
A chocolate factory made 708.89 pounds of milk chocolate in 5 days. How much milk
chocolate, on average, did the factory make per day?
Answer:
Step-by-step explanation:
708.89 / 5
= 141.788 pounds.
4. Arquette is a caddy at the country club. He has no hourly wage. His only income is from tips. In a given week he was tipped by 12 golfers: $20, $15, $10, $15, $25, $10, $15, $22, $18, $15, $20, $20. What did he earn that week?
Answer:
$205
Step-by-step explanation:
20+15+10+15+25+10+15+22+18+15+20+20= 205
Error Analysis: Describe and correct the error in solving the equation
Answer:
x = 2
Step-by-step explanation:
1.) Subtract 8 from both sides.
x + 8 = 10
- 8 -8
2.) Simplify 10 - 8 to 2
x + 8 = 10
-8 -8
——————
x = 2
10 of the students in Josiah's grade like to eat meatloaf. 11 students like to eat spaghetti, and 6 students like to eat both meatloaf and spaghetti. How many students like to eat meatloaf but not spaghetti?
Total stud=11+6=17
[tex]\\ \sf\longmapsto n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]\\ \sf\longmapsto 17=n(A)+10-6[/tex]
[tex]\\ \sf\longmapsto n(A)=17-4[/tex]
[tex]\\ \sf\longmapsto n(A)=13[/tex]
Cancel A intersection b[tex]\\ \sf\longmapsto A=13-6=7[/tex]
Question:
10 of the students in Josiah's grade like to eat meatloaf. 11 students like to eat spaghetti, and 6 students like to eat both meatloaf and spaghetti. How many students like to eat meatloaf but not spaghetti?
Answer:
Students eating meatloaf. = A
students eating sphegetti = B
A∩ B students like both
Total students =11+6=17
⟼n(A∪B)=n(A)+n(B)−n(A∩B)
⟼17=n(A)+10−6
⟼n(A)=17−4
⟼n(A)=13
⟼A= 13−6
=7
need help solving this equation: -4x + 33 = 2x + 81
[tex]\\ \sf\longmapsto -4x+33=2x+81[/tex]
[tex]\\ \sf\longmapsto -4x-2x=81-33[/tex]
[tex]\\ \sf\longmapsto -6x=48[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{48}{-6}[/tex]
[tex]\\ \sf\longmapsto x=-8[/tex]
Answer:
x = -8
Step-by-step explanation:
Collect the like terms
-4x - 2x = 81 - 33
-6x = 48
x = 48 / - 6
x = - 8
 One of these 80 students is chosen at random. what is the probability that the student went to the signs museum? (Is this correct?)
Answer:
PROBABILITY=42/80
=7/20
A clown earned $654 making balloon animals at a carnival. If the clown charged $6 for each balloon animal, how many balloon animals did the clown make
Answer:
The clown made 109 animal balloons.
Step-by-step explanation:
You'll divide 6 from 654.
654 ÷ 6 = 109
Do long division.
6 goes into 6, 1 time.
6 cannot go into 5 so you'll put 0.
6 can go into 54, 9 times.
109 is your answer.
6. Find the coordinates of A if M-1, 2) is the midpoint of AB and B
has coordinates of (3.-5).
Answer:
A(-5,9)
Step-by-step explanation:
Let A(a,b)
Since M is the midpoint then of A(a,b) and B(3,-5) then
M( (a+3)/2 , (b-5)/2)
But it is given that M(-1,2)
So (a+3)/2 = -1 which implies a=-5
and (b-5)/2=2 which implies b=9.
Therefore A(-5,9)
Do I divide or multiply not sure
Answer:
x=40
Step-by-step explanation:
x= 360-(273+47)
What is the domain and range of the function y = xn if n is an odd whole number? if n is an even whole number?
A. If n is odd, domain is (−∞,∞) and range is [0, ∞); if n is even, domain and range are both (−∞,∞).
B. If n is odd, domain and range are both (−∞, ∞); if n is even, domain is (−∞, ∞) and range is [0, ∞).
C. In both cases, domain is (−∞, ∞) and range is [0, ∞).
D. Domain and range in both cases is (−∞ , ∞ ).
Domain and range are the possible x and y values, a function can take.
For the given functions:
If n is odd, domain and range are both (−∞, ∞)If n is even, domain is (−∞, ∞) and range is [0, ∞)Given that:
[tex]y = x^n[/tex]
When n is even.
Assume that [tex]n=2[/tex]
The equation becomes:
[tex]y =x^2[/tex]
See attachment for the graph of [tex]y =x^2[/tex].
From the graph, we can see that values of x extend to both sides of the x-axis.
So, the domain is: [tex](-\infty, \infty)[/tex]
However, the value of y starts from 0 and the curve opens upward. This means that y only take positive values.
So, the range is: [tex][0, \infty)[/tex]
When n is odd.
Assume that [tex]n =3[/tex]
The equation becomes: [tex]y = x^3[/tex]
See attachment for the graph of [tex]y = x^3[/tex].
From the graph, we can see that values of x and y extend to both sides of the x-axis and y-axis, respectively.
So, the domain is: [tex](-\infty, \infty)[/tex]
The range is: [tex](-\infty, \infty)[/tex]
Hence, option (B) is correct.
Read more about domain and range at:
https://brainly.com/question/1632425
Find the distance between the two points rounding to the nearest tenth (if necessary).
(0, -8) and (-5,4)
Answer:
13 units
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (- 5, 4)
d = [tex]\sqrt{(-5-0)^2+(4-(-8))^2}[/tex]
= [tex]\sqrt{(-5)^2+(4+8)^2}[/tex]
= [tex]\sqrt{25+12^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought 5 more large boxes than small boxes, which altogether had 2550 nails. Determine the number of small boxes purchased and the number of large boxes purchased.
Answer:
7 large boxes an 2 small boxes
Step-by-step explaination
its obligatory to be 5 large boxes so i first did 350 * 5 =1750
then i just added a small box with a large until it gave the result
evaluate the expression when c=3 and d=47.
d-5c
Answer:
32
Step-by-step explanation:
47 - 5(3)
Multiply 5 x 3
47 - 15
Subtract 15 from 47
Answer = 32
What is the slope of the line in the graph below?
(look at picture)
Genevieve buys 4 dance tickets for $15 bill buys 16 dance tickets for $75 did they pay at the same rate?
Answer:
No they did not pay the same rate, Bill paid more than Genevieve.
Step-by-step explanation:
Genevieve : 15 ÷ 4 =3.75
Genevieve paid 3.75 per ticket
-----------------------------------------------------
Bill : 75 ÷ 16 = 4.6875
Bill paid 4.6875 per ticket
********************************************
(Please help, I don't understand) Use the distance formula to find the distance between each pair of points:
Step-by-step explanation:
Distance = √(x_2 - x_1)² + (y_2 - y_1)²
Distance = √[(-a) - a]² + (b - b)²
Distance = √[-2a]² + (0)²
Distance = √4a²
Distance = 2a
Pete is saving money to buy a used car
in eight months. He wants to save $5,000
for a down payment and finance the rest.
Pete already has $1,400 saved for the car.
How much money does he need to save
per month to meet his goal of saving
$5,000?
Answer:
450 per month
Step-by-step explanation:
5000-1400=3600
3600/8=450
Since Peter already has 1400 dollars saved you can subtract that form the total amount and since he is trying to get the rest in eight months you just divide the difference by eight.
a number w multiplied by 42
Answer:
42 = 1 x 42, 2 x 21, 3 x 14, or 6 x 7.
I don't know what to do!!! Plz help me!!!! I'm dyeing!!!
Answer:
19 inches
Step-by-step explanation:
8+8+3= 19
Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10% sales tax. How much will she pay altogether? Answer the questions to find out. 1. What is 40% of $20?
Answer:
Molly will pay $13.20 for the dress
40% of $20 is the discount, $8.00
Step-by-step explanation:
multiply dress cost by % you will pay, then add 10%
$20 x .60 then add 10%
$12 is dress with coupon, and 10% of that is $1.20
$12 + $1.20 is $13.20
the difference of two numbers is 18. The larger number is five times the smaller number plus six. what are the numbers?
Answer:
3
Step-by-step explanation:
5x+6-x=18
5x-x=18-6
4x=12
4x/4=12/4
x=3
