Answer:
y = [tex]-\frac{1}{5}x[/tex] - 4
Step-by-step explanation:
As we know the point slope form of an equation is as follows -
y - y₁ = m ( x - x₁ )
As we have slope , m = [tex]-\frac{1}{5}[/tex]
And point (x₁ , y₁ ) = ( -5, -3)
⇒ y - ( -3) = [tex]-\frac{1}{5}[/tex] ( x - (-5) )
⇒ y + 3 = [tex]-\frac{1}{5}[/tex] ( x + 5 )
⇒ y + 3 = [tex]-\frac{1}{5}[/tex] x - 1
⇒ y = [tex]-\frac{1}{5}[/tex] x - 1 - 3
⇒ y = [tex]-\frac{1}{5}[/tex] x - 4
So, the equation becomes
y = [tex]-\frac{1}{5}x[/tex] - 4
Mr. Z bought an all-terrain vehicle (ATV) in 2010 for $7,000. The value of the ATV decreases at a rate of 11% per year. How much is the ATV worth in 2025? First, write an equation that represents the value of the ATV, V, after x years. Then calculate how much the ATV is worth in 2025. You must use the equation that you set up and show what you typed into your calculator in order to earn full credit. round your answer to the nearest whole dollar.
Answer:
i did the math in my calculator and came up with -4550 i don't know what i did
Step-by-step explanation:
I really need help with this.
9514 1404 393
Answer:
a. (1.4, 2.6)
b. (3, 2)
Step-by-step explanation:
a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.
For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...
(c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0
Then the equation of the perpendicular bisector of MN is ...
(-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0
-6(x -1) +4(y -2) = 0
3x -2y = -1 . . . . divide by -2 and put in standard form
Similarly, the perpendicular bisector of NO is ...
(0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0
2(x +1) +2(y -5) = 0
x + y = 4 . . . . divide by 2 and put in standard form
So, the point of intersection is ...
(3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st
5x = 7 . . . . . . simplify
x = 1.4 . . . . . . divide by 5
y = 4-1.4 = 2.6 . . . . . find y from the second equation
The coordinates of the circumcenter are (1.4, 2.6).
__
b. The centroid is the average of the vertex coordinates.
centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3
centroid = (3, 2)
a rectangle has dimensions of (3y+2)cm as the length and (x+7)cm as the other length and 2x cm as the breadth and (x+y+1)cm as the other breadth find the values of x and y and the dimensions
Answer:
x = 4 cm
y = 3 cm
Dimension is 11 by 8
Step-by-step explanation:
The computation of the values of x and y and their dimension is shown below:
3y + 2 = x + 7
3y - x = 5.......(i)
2x = x + y + 1
x - y = 1...........(ii)
Now solve these both equations
2y = 6
y = 3 cm
And,
x - y = 1
x - 3 = 1
x = 4 cm
Now their dimension is
= x + 7
= 4 + 7 = 11
And,
= x + y + 1
= 4 + 3 + 1
= 8
So, 11 by 8
Of the 10 clients who had their hair cut at Sue's salon last month, 5 had blond hair. Considering this data, how many of the next 14 clients to get haircuts should you expect to have blond hair?
Answer: 7 clients
Step-by-step explanation:
Of the last 10 clients that cut their hair at the salon, 5 had blond hair.
That is a proportion of:
= 5 / 10
= 1/2
Assuming this same proportion applies to the next clients Sue gets, the expected number of blonde people will be:
= Number of clients * 1/2
= 14 * 1/2
= 7 clients
At the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on.
If you have $28, how many rides can you go on? *
1 point
Answer:
18.6
Step-by-step explanation:
28 divided by 1.50 equals 18.6
The number of rides will be equal to 12 in the Carnival.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that at the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on. The total amount is $28.
The number of rides will be calculated by forming an equation below,
A = 10 + 1.5R
28 - 10 =1.5R
1.5R = 18
R = 18 / 1.5
R = 12
Therefore, the number of rides will be equal to 12 in the Carnival.
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what is the expression 3 fewer than k
What is the answer to x? Given the top of the triangle is 80.
Kiera runs 575.8 meters in 73.04 seconds.
If Kiera runs at a constant speed, how far does she run in one second? Give your answer to the nearest tenth of a meter.
Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answer:
Step-by-step explanation:
7.9 meters per second
Find the are of this shape?
Answer:
the square in the middle is 100 because 10 x 10 = 100
Answer:
The answer should be 217.75 m^2
Step-by-step explanation:
Help please!! Help me with this triangle
Answer:60°
Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.
Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).
Equilateral triangles have equal angles, meaning 60° for each angle.
A pipe leaks water at a rate of 48 fl oz
every 5 min.
At this rate, how many gallons of water leak from the pipe in an hour? (1
gal = 128 fl oz)
The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A pipe leaks water at a rate of 48 fl oz every 5 min. Then the rate is given as,
Rate = 48 / 5 fl oz per minute
We know that 1 gal = 128 fl oz, then we have
Rate = (48 / 128) / (5 / 60)
Rate = (48 x 60) / (128 x 5)
Rate = 2880 / 640
Rate = 4.5 gallons per hour
The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.
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plz help ima freak out if I don't complete this
Answer:
2 and 3 are c you should try to do the others on your own they are just properties
Step-by-step explanation:
Answer:
2 and 3 are C, and 4 and 5 are B
Step-by-step explanation:
Did I do it rightly?
Please help me. Thank you!
Answer:
25
Step-by-step explanation:
I don't know the steps
The point (5, 3) has an image of (2, –1) under a translation of left 3 and down 4 units. Which sequence of transformations produces the same image? Translate left 2 units and down 3 units, and then reflect over the x-axis. Translate left 3 units and down 2 units, and then reflect over the x-axis. Reflect over the x-axis, and then translate left 2 units and down 3 units. Reflect over the x-axis, and then translate left 3 units and down 2 units.
Answer: B
Step-by-step explanation:
did it on edge
Answer: B
Step-by-step explanation:
Find the value of x *
A) 20
B) 10
C) 15
D) 25
Answer:
B. 10
Step-by-step explanation:
While doing construction O and P are joined then
OQ = OR
<QOR = 80°
<QPR = <QOR /2 ( INSCRIBED ANGLE IS HALF OF THE CENTRAL ANGLE STANDING ON SAME ARC)
<QPR = 80°/2
<QPR = 40°
SO
< QPO = X
<RPO = 30°
<QPO + <RPO = < QPR
X + 30° = 40°
X = 40° - 30°
X = 10°
hope it helps
What is the value of A when we rewrite
(1/7)^x-2 - (1/7) ^x as A x (1/7)^x
Answer:
48
Step-by-step explanation:
Khan Academy
The value of [A] will be 48.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that we have rewritten -
(1/7)ˣ ⁻ ² - (1/7)ˣ as [A] x (1/7)ˣ
We have (1/7)ˣ ⁻ ² - (1/7)ˣ rewritten as [A] x (1/7)ˣ. So, we can write -
(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.
Now, we can write [(1/7)ˣ ⁻ ² - (1/7)ˣ] as :
[(1/7)ˣ / (1/7)²] - (1/7)ˣ
(1/7)ˣ [1/(1/7)² - 1]
We have -
(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.
So, we can write -
(1/7)ˣ × [1/(1/7)² - 1] = [A] × (1/7)ˣ.
On comparing, we get -
[A] = [1/(1/7)² - 1]
[A] = 48
Therefore, the value of [A] will be 48.
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PLEASE HELP!!!!!! 20+ POINTS
I have not been paying attention in class at all for the past 3 weeks, and we have a test tomorrow. Please explain all this stuff and more related to it. if it is not good enough then I will delete it and you will not get the points.
Answer:
B. (x , y) -> (-y , x)
Step-by-step explanation:
counter clockwise rotation 90° : (x,y) -> (-y,x)
Solve the equation:
b - 1.6 ÷ 4 = - 3
b = _____
Answer:
-2.6
Step-by-step explanation:
A bag contains 5 green marbles and 8 blue marbles. A dice is rolled, then a marble is chosen at random from the bag .
The probability is the ratio of the favorable event to the total number of events. The probability of a blue ball is 61.54 %.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
A bag contains 5 green marbles and 8 blue marbles.
Total number of balls will be
→ Total balls = 8 + 5 = 13
A dice is rolled, then a blue marble is chosen at random from the bag. Then the probability will be
→ Favorable event = 8
[tex]\rm P(B) = \dfrac{Favorable \ event}{Total \ event}\\\\P(B) = \dfrac{8}{13}\\\\P(B) = 0.6154 \ or \ 61.54 \ \%[/tex]
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(12+34)×2.3= (talk to me please please please)
Answer:
90.2
Step-by-step explanation:
thx for the follow!!!
Answer:
105.8 is the answer
Step-by-step explanation:
105.8
3/13 as a decimal rounded to the nearest thousandth
Answer:
0.231
Step-by-step explanation:
Answer:
3/13 round to the nearest thousandth is 0.231
Step-by-step explanation:
mr iniguez can bike 157 miles in 5 hours . How many miles can he bike 1 hour?
Answer: its 31.4 i think cuz if you divide 157 and 5 you get 31.4 in an hour
Step-by-step explanation:
I divided
Answer:
If he bikes 157 miles in 5 hours and we need to know hhwo many miles he can bike in 1 hour, we need to divide
157/5=31.4
Step-by-step explanation:
157 divided by 5
5 fits in 15 3 times
5x3=15
15-15=0
we bring down the 7 and 5 only fits in 7 one time
5x1 is 5 so 7-5 is 2
we add a decimal after 157 and drop it down to creat 20
5x4 is 20 so the answer is 31.4
Jim’s physics quiz scores were 77, 83, 75, 52, and 85. What was his median score?
Answer:
76
Step-by-step explanation:
On a map, a hospital is located at (-42,7). A wreck occurs at (13,-14). How far must the Air Care helicopter fly to reach the wreck from the hospital. (Each unit on the map equals one mile.)
Answer:
The helicopter must cover a straight line distance of approximately 61.270 miles from the hospital to the wreck site.
:)
Step-by-step explanation:
12) Wendy is creating a board game. She wants to cut square game pieces that
1
measure 1 inches on each side from a piece of paper that measures 9 inches by 9
2
inches. How many game pieces can Wendy cut from the paper?
Answer: 36
Step-by-step explanation: I used a calculator to multiply 9 by 9 & 1 1/2 by 1 1/2. For 9 by 9 you get 81, for 1 1/2 by 1 1/2 you get 2 1/4. 81 divided by 2 1/4 is 36. You’re welcome sorry if I’m late!
Find the missing values
I know this might be a easy answer but with proper algebra format a chicken has two legs a dog has 4 legs the chicken must have 14 more legs than the dog And it has to add up to 28 legs this is easy but I wanna know how to get the answer
Step-by-step explanation:
Let each let of chicken be C and dog be D respectively.
Then as per question
2C+4D = 28.......i
and
C-D =14........ii
These are the two algebraic equation which you are looking for solve them
to get the answer
A cone has a height of 12 yards and a radius of 7 yards. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
____ cubic yards
Answer:
615.44 cubic yards
Step-by-step explanation:
V = 1/3·π·7²·12
GRADE 7 MATH URGENT
A class of 25 children is having a pizza party. Each child will eat 3/8 of a pizza. How many pizzas do they need to order?
A. 8 pizza pies at 10 pc. per pie = 80 available pieces
B. Let X be the number of children. Number of pieces eaten = 5 per child = 5X.
c. 22 pieces are left over.
D. Combine line A and line C. Total number of pieces eaten = 80 original minus 22 left over. Result 58 pieces were eaten by X children: 58 = 5X.
E. Solve the equation 58 = 5X by dividing both sides by 5.
WHOOPS! Is this a trick question? Solving the above results in the answer that there are 11.6 children at the party. Hmmm. That 0.6 child is a question mark for me.
Looks like someone miscounted the pizza slices. Or omitted some pertinent information. But, I’m sure there is a logical answer.
Answer:
10 pizzas
Step-by-step explanation:
To find the answer for this question you need to multiply 3/8 by 25.
3/8 * 25 = 9.375
You can't buy .375 of a pizza so you round it up and get 10.