The equation of the perpendicular line is y = x + 15.
How to determine the equation of the perpendicular line
In this problem we need to determine the equation of the line perpendicular to another line, that intersects at the point (x, y) = (- 5, 10). The explicit form of the equation of the line is defined by the following first order polynomial:
y = m · x + b
Where:
m - Slopeb - y-Interceptx - Independent variabley - Dependent variableThe first line has a slope - 1 and the slope of the second line is:
m' = - 1 / m
m' = 1
Then, the intercept of the second line is:
b = y - m · x
b = 10 - (- 5)
b = 15
The equation of the perpendicular line is y = x + 15.
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graph the inequlity
y > |x-7| + 1
Answer:
D.
Step-by-step explanation:
The inequality graphed matches the graph on the answer choice D.
Hope this helps <3
ZA and ZB are vertical angles. If m/A = (4x − 8)° and m/B = (3x + 18)°,
then find the value of x.
For the given vertical angles that is angle A = (4x-8) and angle B=(3x+18) the value of x = 26
We have been given that angle A and angle B are both vertical angles. Therefore both the angles will be equal as vertical angles are equal.
Thus, angle A = angle B
Now we will put the value of the respective angles and solve for x, we will get,
angle A = angle B
(4x-8)° = (3x+18)°
4x – 3x = 18 + 8
x = 26
hence the value of x = 26
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how many 1/3 cups are in 2 cups
Answer:
6 1/3 cups are in 2 cups
Step-by-step explanation:
1/3 + 1/3 + 1/3 = 3/3 = 1 cup
+
1/3 + 1/3 + 1/3 = 3/3 = 1 cup
1 cup + 1 cup = 2 cups
Therefore it is 6 1/3 cups.
How many 7 digit phone number combinations are possible, except now assume that the phone number is not allowed to start with 911?
9990000 are 7 digit phone number combinations are possible.
what is permutation and combination?
In mathematics, there are two additional methods for dividing a set of components into subsets: combination and permutation. The elements of the subset may be mixed in any order. The subset's elements are listed in a permutation in a certain order.Find every 7-digit phone number combination that exists first.
Given that the digit can be repeated, a total of 107 combinations are available.
The next step is to identify all conceivable combination of seven-digit numbers that begin with "911."
since it begins with "911" Therefore, there are just 4 digits left. 104 combinations are thus feasible in total.
The total number of potential combinations that begin with "911" is then subtracted.
We finally get
10⁷ - 10⁴
= ( 10³ - 1 ) × 10⁴
= 999 × 10⁴
= 9990000
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Can you please help me with this ?
Answer:
the answer is 2^x-7 = 1/3x+-1/3
graph it to 1-3 and negative 1-3 figure it out i don't really good at explaining
Help me out with this one!
Answer:
19/9
Step-by-step explanation:
Divide 19/9 using calculator or long division to check.
Hope this helps!
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Assume there is a virus in a town, and there exists one patient on day 1.
Assume that the patient transmits the virus to another person once per day, then this other person becomes a patient, and that all carriers spread the virus at the same rate, i.e. each patient passes the virus on to one other person per day.
Once someone has caught the virus, they do not catch it again.
The town has a fixed population of 700000
and the borders are closed so that no one can enter or exit the town.
How many days does it take to make everyone in the town catch the virus?
Using an exponential function, it is found that it takes 20 days for everyone in the town to catch the virus.
What is an exponential function?An exponential function is given as follows:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.For this problem, we have that:
On the first day, one person has the virus.On the second day, the first person transmitted the virus to another person, hence two people have the virus.On the third day, each of the two people transmitted the virus to another two, hence four people have the virus.From this, we get that the parameters are given as follows:
a = 1, b = 2.
Hence the function for the number of contaminated people after t days is given by:
[tex]f(t) = 2^t[/tex]
Now, we have to solve for t when f(t) = 700000, hence:
[tex]2^t = 700000[/tex]
[tex]\log{2^t} = \log{700000}[/tex]
[tex]t\log{2} = \log{700000}[/tex]
t = log(700000)/log(2)
t = 19.4, rounded to 20.
It takes 20 days for everyone in the town to catch the virus.
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what is 1408 rounded to the nearest hundredth
Answer:
It would still be 1408
Step-by-step explanation:
There are no decimal points to round to the nearest hundreth
Answer:
1408.00
Step-by-step explanation:
1408.00 ==>the underlined digit which is 1 digit away from the decimal is the hundredth digit.
4.51X3=
SHOWN WORK 13.53
Multiplication is the opposite of division. When we multiply 4.15*3 we get 13.53.
What do you mean by multiplication?Multiplication is one of the four basic arithmetic operations, alongside the addition, subtraction, and division. In math, multiply means the repeated addition of groups of the equal sizes.
The symbols for multiplication are cross (x), asterisk (*), and dot (.). You seem to utilize the cross a lot when you write in your notebooks. In both algebra and computer languages, the asterisk and dot are symbols (higher mathematics).
Commutative Property: According to this property, when we multiply two numbers, the result will not change depending on the order.
Associative property: It states that if we multiply three or more numbers consecutively, the order is irrelevant.
4.51
X 3
-----------
13.53
-----------
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are 8x and 2x^3 like terms ??
Answer:
No they are not 'like' terms
Step-by-step explanation:
8x and 2x WOULD be 'like' terms
8x and 2x^2 are not
8x and 2x^3 are not either
(8.41 x 10^-5) - (7.9 x 10^-6)
Answer:
7.62×10^-5
Step-by-step explanation:
Answer: 0.000076
Step-by-step explanation:
8.41(10^-5) - 7.9(10^10-6)
= 8.41 (1/100000) - 7.9(10^-6)
= 0.000084 - 7.9(10^-6)
= 0.000084 - 7.9(1/000000)
= 0.000084 - 0.000008
= 0.000076
Use the picture to solve for Y.
Answer:
y=2x+5
y=-1.5x+9
3y=-2x+10
Step-by-step explanation:
2x+y=5
y=2x+5
9-y=1.5x
-y=1.5-9
y=-1.5x-9
2x=-3y+10
3y=-2x+10
Brook went bowling with her friends she bowled 3 games and her average score for those games was 121 she had 117 her first game and 108 on her second game write an equation to find g the score of her third game
Answer:
121 x 3 = 363
117 + 108 = 225
363 - 225 = 138
138 is the third game
I'm not very sure how to write an equation for this, I guess it would look something like
117 + 108 + x = 363
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
2/5d+4/9e=-2d+7/18e-1
solve for e
Answer:
[tex]e=\frac{-5e-90}{216}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}d+\frac{4}{9}e=-2d+\frac{7}{18}e-1[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7}{18}e-1 < - Muiltiply[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7e}{18}- < - Muiltiply Again\\[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}-\frac{4e}{9}=-2d+\frac{7e}{18}-1-\frac{4e}{9} < - Subtract BothSides[/tex]
[tex]\frac{2}{5}d=-2d-\frac{e}{18}-1 < - Simplify[/tex]
[tex]\frac{2}{5}d+2d=-2d-\frac{e}{18}-1+2d < - AddToBothSides[/tex]
[tex]\frac{12}{5}d=-\frac{e}{18}-1 < - Simplify[/tex][tex]\frac{12d}{12}=-\frac{\frac{5e}{18}}{12}-\frac{5}{12} < - DivideBothSides[/tex]
[tex]e=\frac{-5e-90}{216}[/tex]
Solve the simultaneous equation
-4x+3y=1
6x-y=2
Answer:
x = 1/2 or 0.5, y = 1
Step-by-step explanation:
it just means a system of equations.
-4x + 3y = 1
6x - y = 2
let's multiply the second equation by 3 and add both resulting equations :
-4x + 3y = 1
18x - 3y = 6
-------------------
14x 0 = 7
14x = 7
x = 7/14 = 1/2 = 0.5
6x - y = 2
6×1/2 - y = 2
3 - y = 2
-y = -1
y = 1
A traditional unit of length in japan is the ken (1 ken = 1.97 m). what are the ratios of (a) square kens to square meters?
The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88
For given question,
We have been given the unit conversion.
A traditional unit of length in Japan is the ken
and 1 ken = 1.97 m
We need to find the the ratios of (a) square kens to square meters.
First we find the square of 1 ken.
⇒ 1 square kens = (1.97 m)²
⇒ 1 square kens = 1.97 × 1.97 m²
⇒ 1 square kens = 3.88 m² ..................(1)
And 1 square meters = 1 m² ................. (2)
Now we take the ratio of square kens to square meters.
From (1) and (2),
⇒ 1 ken² / 1 m² = 3.88 / 1
⇒ 1 ken² / 1 m² = 3.88
Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88
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A 19-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is three inches more than five times the length of the first piecefind the lengths of the pieces. 3 + 5x
Using algebraic expressions and equations to solve this problem, a 19- inch piece of steel is cut into three pieces measuring 2 inches, 4 inches, and 13 inches.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
If the second piece is twice as long as the first piece, we can write this as an algebraic expression "2x" where x is the length of the first piece.
If the third piece is three inches more than five times the length of the first piece, we can write this as an algebraic expression "3 + 5x" where x is the length of the first piece.
If the three pieces were cut from a single piece of steel 19-inches long, we can write the equation for the sum using the algebraic expressions.
let x = length of first piece
2x = length of second piece
3 + 5x = length of third piece
x + 2x + 3 + 5x = 19 inches
Solving for x,
8x = 19 -3
8x = 16
x = 2 inches
length of first piece = 2 inches
Substitute the value of x in the expressions for the second and third piece.
length of second piece = 2x
length of second piece = 2(2)
length of second piece = 4 inches
length of third piece = 3 + 5x
length of third piece = 3 + 5(2)
length of third piece = 3 + 10
length of third piece = 13 inches
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the points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 5 : 3. if LO = 11, find NO
Answer:
5
Step-by-step explanation:
Answer:
LM:MN:
NO =3:
3N
Step-by-step explanation:
The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?
The water level after the rainfall is 1.75 below average.
How to calculate the difference?From the information, the water level in Colorado river is 2.55 m below average. a large rainfall caused and the water level to rise 0.8 m.
The water level after the rainfall will be:
= -2.55 + 0.8
= -1.75
Therefore, the water level after the rainfall is 1.75 below average.
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A standard train ticket in a certain city costs 3 per ride. people who use the train also have the option of purchasing a frequent-rider pass for 18.75 each month. with the pass, a ticket costs only 2.25 per ride. how many train rides in a month make the frequent-rider pass a better deal than standard train tickets?
a. 26 or more rides
b. 24 or more rides
c. 25 or more rides
d. 27 or more rides
Number of train rides to make the frequent-rider pass a better deal than standard train tickets is 26 or more rides.
As given,
Cost of standard train ticket = 3 per ride
Price of frequent rider pass= 18.75 each month
Cost of ticket using rider pass = 2.25 per ride
let x be the number of rides
Equation:
18.75 + 2.25x < 3x
⇒ 0.75x > 18.75
⇒ x > 25
Therefore, number of train rides to frequent-rider pass a better deal than standard train tickets is 26 or more rides.
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PLEASE SOLVE ITS FOR A TEST I NEED IT
Answer:
The answer is Option C
Answer:
I think the answer would be C
Step-by-step explanation:
A bicyclist is riding on a path modeled by the function f(x) = 0.04(8x - xo), where x and f(x) are measured in miles. find the rate of change of elevation when x = 2.
The rate of change of elevation is 0.32.
What is the rate of change of elevation?An easy-to-remember equation for finding change in elevation as a decimal is “rise over run,” meaning the rise (the change in vertical distance) divided by the run (the change in horizontal distance).
So the problem wants to ask to calculate the rate of change of the elevation if x=2 in the function f(x) = 0.32x. So base on that, the rate of change of elevations can be get through the formula of slope intercept form and the answer would would 0.32 is the rate of change in disregard of the value of x.
Hence, The rate of change of elevation is 0.32.
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Brian rolls a fair dice 12 times.
How many times would Brian expect to roll a number greater than 4?
Answer:
I times the 12 by 5 and divided by 2 and subtract by 12
I get 18 and I thought it is 18
Answer:
Step-by-step explanation:
If a fair dice is rolled 6 times, 2/6 times the number would be greater than 4
If rolled 12 times, then 4/12 times the number would be greater than 4
4/12 = 1/3
please help! i can’t figure this out I’ve somebody help QUICKKKK !!!!
Answer: A
Step-by-step explanation:
4. Solve x - 2 = 1.
Which statement shows the correct justification for the step used to solve the
equation?
O Add 1 to each side.
O Add 2 to each side.
O Subtract 1 from each side.
O Subtract 2 from each side
Answer:
x=3
Step-by-step explanation:
or,x-2=1
or,x=2+1
or,x=3
Can someone help me with this question please like I really need this asap.
Using the fact that the two angles are complementary, the we will find that the measures are:
∠1 = = 14°
∠2 = 76°
How to find the measures of the angles?
By looking at the diagram, we can see that the sum of the measures of angles 1 and 2 must be equal to 90° (this means that the two angles are complementary).
We also can see that:
∠1 = x - 5
∠2 = 4x
Then we can solve the linear relation:
(x - 5) + 4x = 90
x - 5 + 4x = 90
5x - 5 = 90
5x = 90 + 5 = 95
x = 95/5 = 19
Then the measures of the two angles are:
∠1 = (x - 5)° = (19 - 5)° = 14°
∠2 = 4x = 4*19° = 76°
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If a+b+c =9 and a²+ b²+c²=35,find the value of a³+b³+c³-3abc
Here is your Answer
step by step explanation
Hit thanks, if it's help full
Hayfa does 336 jumping jacks in 8 minutes. How many does Hayfa do in 1 minute?
Answer:42
Step-by-step explanation:
Hayfa dose 336 jumping jacks in 8 mins so you divide 336 by 8 and that equals 42
Answer:
42 jumping jacks
Step-by-step explanation:
To find how many Hayfa does in a minute divide 336 by 8
➟ 336/8
➟ 42
∴ Hayfa can do 42 jumping jacks in a minute
The formula for potential energy is p=mgh, where p is potential energy, m is mass , g is gravity and h is height . Which expression can be used to represent g
Answer:
g is the acceleration due to gravity.
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Complete the table.
Answer:
-1, 2
Step-by-step explanation:
Plug the "x" on the top row into the "x" on the equation.
y = 3(0) - 1 = -1
y = 3(1) - 1 = 2