perpendicular"
Step-by-step explanation:
We need to find slope (m) of both line JK and LM
Slope has formula:
Lets find slope of JK:
Lets find slope of LM:
we know if we multiply two lines' slope and get -1, they are perpendicular. Let's check:
Hence, they are perpendicular
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)−7 ?
The graph of g(x) is the graph of f(x) translated 7 units down.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 7.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 7.
The graph of g(x) is the graph of f(x) translated 7 units left.
help please
Answer:
translated down 7 units
Step-by-step explanation:
whenever it is written like this I'm pretty sure it's just translated down it would have to be in parentheses to go left and right
Need help with geometric series'!
Please include a step by step explanation.
Answer:
[tex] - 13107[/tex]
Step-by-step explanation:
We would like to evaluate the following Geometric Series ,
[tex]\displaystyle\longrightarrow \sum _{n=1}^8 (-4)^{n-1 }[/tex]
In a geometric series, a common number is multiplied to the previous term in order to find the next term . And that common number is called common ratio (r) .
As we know that ,
[tex]\displaystyle\longrightarrow \sum_{x = 1}^n f(x) = f(1) + f(2) + \dots + f(n) [/tex]
So , we can write the series as ,
[tex]\displaystyle\longrightarrow (-4)^{1-1}+(-4)^{2-1}+\dots +(-4)^{8-1} [/tex]
Simplify,
[tex]\displaystyle\longrightarrow (-4)^0 + (-4)^1+(-4)^2+\dots +(-4)^7 [/tex]
We can find the common ratio by dividing and successive term by its preceding term , as ;
[tex]\displaystyle\longrightarrow r =\dfrac{-4}{1}=-4 [/tex]
Again , here ;
First term = a = [tex](-4)^0=1[/tex]Common ratio = [tex]-4[/tex]number of terms (n) = 8And we can find the sum of geometric series using the formula , ( this is used when the value of r is less than 1 , here it is -4 ) .
[tex]\displaystyle\longrightarrow \Bigg[ Sum = \dfrac{a(1-r^n)}{1-r}\Bigg] [/tex]
where the symbols have their usual meaning.On substituting the respective values, we have;
[tex]\displaystyle \longrightarrow\rm{ Sum }=\dfrac{ 1\{1-(-4)^8\}}{1-(-4)}\\ [/tex]
Simplify ,
[tex]\displaystyle\longrightarrow \rm{Sum} = \dfrac{1-65536}{1+4}\\[/tex]
[tex]\displaystyle\longrightarrow \rm{Sum} = \dfrac{-65535}{5} [/tex]
Simplify by dividing ,
[tex]\displaystyle\longrightarrow \underline{\underline{ \rm{Sum} = -13107}} [/tex]
And we are done !
Kilani and Adrian are starting a nutrition program. Kilani currently consumes 1200 calories a day and will increase that number by 100 calories each day. Adrian currently consumes 3230 calories a day and will decrease that number by 190 each day. They will continue this pattern until they are both consuming the same number of calories per day. In how many days will that be? Be sure to define your variables, write an equation, and answer the question in context.
Answer:
7 days
Step-by-step explanation:
Let us represent the number of days = a
Kilani currently consumes 1200 calories a day and will increase that number by 100 calories each day.
1200 calories + 100 calories × a
1200 + 100a
Adrian currently consumes 3230 calories a day and will decrease that number by 190 each day.
3230 calories - 190 calories × a
3230 - 190a
The number of days that they would be consuming the same number of calories =
Kilani = Adrian
1200 + 100a = 3230 - 190a
Collect like terms
190a + 100a = 3230 - 1200
290a = 2030
a = 2030/290
a = 7 days
Therefore, the would be consuming the same number of calories in 7 days
what is the constant of posprtainality in the equation y=0.41
Answer:
The constant of proportionality in the equation y=0.41 is 0.41
Step-by-step explanation:
Which statement below best applies to the following expression?
Answer:
A.
Step-by-step explanation:
Radical expressions can only be simplified if their radicands are identical.
Use the grouping method to factor the polynomial below completely.
x3 + 2x2 + 5x + 10
O A. (x2 + 5)(x+5)
O B. (x2 + 5)(x+2)
O C. (x2 + 5)(x+5)
O D. (x2 + 5)(x+2)
Answer:
(x²+5)(x+2)
simple find the common factor between x³ and 2x² and the cf of 5x and 10
u will end up with these results then^
Gm!!! everyone (who see's this)
Answer:
GOODMORNING!!!
Step-by-step explanation:
I pray you, have a wonderful day!!
Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angle C is x plus 15 degrees. Group of answer choices m∠C = 56 From smallest to largest: ∠B, ∠C, ∠A m∠A = 99 x = 49 (4x + 16) = 180
Answer:
[tex]B= 41[/tex]; [tex]C = 56[/tex]; [tex]A = 83[/tex]
Step-by-step explanation:
Given
[tex]A = 2x + 1[/tex]
[tex]B = x[/tex]
[tex]C = x + 15[/tex]
Required
Arrange the angles from smallest to largest
First, we need to determine the value of x.
Since, it is a triangle:
[tex]A + B + C = 180[/tex]
Substitute values for A, B and C
[tex]2x + 1+ x + x + 15 = 180[/tex]
Collect Like Terms
[tex]2x + x + x = 180 - 15 -1[/tex]
[tex]4x = 164[/tex]
Solve for x
[tex]x= 164/4[/tex]
[tex]x= 41[/tex]
Solve for A, B and C
[tex]A = 2x + 1[/tex]
[tex]A = 2 * 41 + 1[/tex]
[tex]A = 82 + 1[/tex]
[tex]A = 83[/tex]
[tex]B = x[/tex]
[tex]B= 41[/tex]
[tex]C = x + 15[/tex]
[tex]C = 41 + 15[/tex]
[tex]C = 56[/tex]
From Smallest to Largest, we have:
[tex]B= 41[/tex]; [tex]C = 56[/tex]; [tex]A = 83[/tex]
I will mark brainliest please help ASAP :)
the distance a car travels d, is a function of t the time it travels a certain car travels 425 miles at a speed of 50 miles per hour. What are the domain range of the function described?
The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 50
The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 425
The domain is all real values from 0 to 50 and the range is all real values from 0 to 425
The domain is all real values from 0 to 425 and the range is all real values from 0 to 8.5
The domain and range of the linear function described are given as follows:
The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 425.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the car travels 425 miles at a speed of 50 miles per hour, hence for the amount of miles left for the car to travel after t hours is given by a linear function with m = -50 and b = 425, that is:
d(t) = 425 - 50t.
The domain is the set of all possible values of the input, which considering that the car travels while the distance is greater than 0, is given by:
d(t) > 0 -> 425 - 50t > 0 -> t < 8.5.
The range is the set of all possible values of the input, which is the distance remaining, assuming real values from 0 to 425.
Hence, the correct option is:
The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 425.
More can be learned about linear functions at https://brainly.com/question/24808124
Make
x
the subject of the formula
3
a
x
+
2
c
=
b
2
Answer:
x= (2b-2c)/3a
Step-by-step explanation:
3ax+2c=2b
or, 3ax= 2b-2c
Therefore, x= (2b-2c)/3a
If you claim a dependent and have to pay for child
care while you're at work, you can claim a tax credit of
$780. If you owed $5,638 in federal income taxes, how
much do you owe after claiming that credit?
Answer:
4858
Step-by-step explanation:
5,638-780=4,858
An auto repair shop charged a customer $356 to repair a car. The bill listed $56 for parts and the remainder for labor. If the cost of labor is $50 per hour, how many hours of labor did it take to repair the car?
Answer:
6 hours
Step-by-step explanation:
356-56
=300
300/50
=6
What is the slope for the equation of the line passing through the points (20,-32) and (10, -15)?
Answer:
-17/10
Step-by-step Explanation :
Find the range of the data. 133,117,152,127,168,000,000
Answer:
168
Step-by-step explanation:
168 would be the range because the range is the highest number - the lowest number so 168=highest and 000=lowest
so 168-000 or just0=168
here's some extra answers.
The mean=100 rounded up to nearest 100
Mean= the average of the data set.
Median=127
The median is the middle number when the numbers in the data set are sorted least to greatest.
Mode=000 or just 0
The mode is the number that appear the most in the data set and 000 or just 0 appears twice rather than,all the other numbers only appear once.
Minimum=000 or just
The minimum is the lowest number in the data set and as for this one is is 0.
Maximum=168
The maximum is the highest number and the data set and 168 is the highest in this one.
Hope it helps have a great day:)
PLZ HELP....!
A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 35 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 85 degrees. What is the measure of angle x?
A) 50 degrees
B) 55 degrees
C) 85 degrees
D) 125 degrees
Answer:
the answer is a)50 degree
Step-by-step explanation:
as alternate angle so
x+35=85
so x=85-35
x=50 degree
thanks
Answer:
50
Step-by-step explanation:
ʕ•ᴥ•ʔ hope this helps
What is the equation of the line that passes through the point (-1,-5) and has a
slope of -1?
Answer:
5 x - 6 y - 8 = 0
Step-by-step explanation:
Which expression is equivalent to 3^0x3
Hey there!
3^0 * 3
= 1 * 3
= 1 + 1 + 1
= 2 + 1
= 3
Therefore, your answer is: 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Convert 12/25 to percent
Answer:
48%
Step-by-step explanation: multiply 4 with the numerator and denominator
bobby's cat runs x mph. bobby's dog runs twice as fast as his cat. if the cat and the dog start running away from each other, how far away from each other will they be after 30 minutes
Answer:
They will be 0.5x miles away from each other.
Calculation of the distance:
Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
So here the speed of the dog should be 2x
Now we know that
Here distance of cat should be x of 30 minutes or half hour = 0.5x miles
And, Distance of dog should be 2x of 0.5 = x miles
So, the difference should be
= x - 0.5
= 0.5x miles
hence, They will be 0.5x miles away from each other.
Step-by-step explanation:
Answer:
1.5x miles, because you already know that the cat's speed is 0.5x miles, and the dog is x miles, so when you add it together, you get 1.5x miles
a=-13y solve for y
This is all the question says so idk
Which of these numbers is irrational?
O A. v3
OB. 0.25
O C. 1
O D. V9
Answer:
A
Step-by-step explanation:
the square root of 3 is an irrational number.
The volume of a cone is 1967 cubic feet. Its
radius is 7 feet. Find the height.
Answer:
38.33 feet.
Step-by-step explanation:
Answer: 38.33ft
Explanation: I looked it up :)
In a high school of 1000 students, 355 are playing sports and 233 are in a school band. If there are 175 students playing sports and are in a school band, how many are in neither activity?
Answer:
237
Step-by-step explanation:
1000 minus 355= 645
645 minus 233= 412
412 minus 175= 237
Answer:
237 students
Step-by-step explanation:
355 are playing sports
233 are in a school band.
175 in both
355 + 233 + 175 = 763
763 students are in sports, band or both
1000 - 763 = 237
237 students aren't participating in neither.
hope this helps :)
Find the missing side lengths. Leave your answers as radicals in simpler form. Please explain it
Answer:
Step-by-step explanation:
Please answer :) much appreciated
URGANT PLEASE HELP!!
Solve the triangle for x. (1 point)
A) 41.8°
B) 89.6°
C) 48.6°
D) 90.4°
Answer:
it looks like c
Step-by-step explanation:
its not quite 50 but its extreemly close so its got to be c
[tex]12 {}^{2} = 9 {}^{2} + 8 {}^{2} - 2(9)(8)(cosx)[/tex]
[tex]144 = 81 + 64 - 2(72)(cosx)[/tex]
[tex]144 = 145 - 144(cosx)[/tex]
[tex] - 144(cosx) = 144 - 145[/tex]
[tex](cosx) = \frac{ - 1}{ - 144} [/tex]
[tex]arccos( \frac{1}{144} ) = > a = 89.6[/tex]
Find the product of (4c-5)(7x^2m- 3x + 3)
Answer:
28cx2m−12cx+12c−35x2m+15x−15
Step-by-step explanation:
HELP ASAP THIS IS ABOUT “Multistep Pythagorean Theorem” HELP
Answer:
8.1
Step-by-step explanation:
The length of the missing side is 8.1 inches. You apply the pythagorean theorem to 5,b,10 and get 5sqrt3. Next, you apply the pythagorean theorem to 3, b, 5sqrt3 to get the square root of 66, which is 8.1, rounded to the nearest tenth.
Answer:
[tex]\displaystyle 8,1[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem twise [first time for the reflexive edge and the second time for the longer leg of the other triangle]:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ a^2 + 5^2 = 10^2 \hookrightarrow 100 = 25 + a^2 \hookrightarrow \sqrt{75} = \sqrt{x^2}; 5\sqrt{3}\:[or\:8,6602540378...] = a \\ \\ \\ \\ a^2 + b^2 = c^2 \\ \\ x^2 + 3^2 = 5\sqrt{3}^2 \hookrightarrow 75 = 9 + x^2 \hookrightarrow \sqrt{66} = \sqrt{x^2}; \sqrt{66}\:[or\:8,1240384046...] = x \\ \\ \boxed{\boxed{8,1 \approx x}}[/tex]
I am joyous to assist you at any time.
Given h(x)=x2-2, what is the value of h(-3)?
h(x) = x^2 - 2
h(-3) = (-3)^2 - 2
= 9-2
= 7
A DVD is regularly $19.99 but is on sale today for $15.99. What percent would you save if you bought the DVD on sale?
Answer:
the sale price will be 130% off
Step-by-step explanation: