Answer:
[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
In this question:
The equation of the line is:
[tex]x + 5y = 50[/tex]
Placing in the standard format:
[tex]5y = -x + 50[/tex]
[tex]y = -\frac{x}{5} + 10[/tex]
The slope is [tex]-\frac{1}{5}[/tex]
Slope of the perpendicular lines:
[tex]-\frac{m}{5} = -1[/tex]
[tex]m = 5[/tex]
So
[tex]y = 5x + b[/tex]
Attributing two values to b:
[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.
Find the measure of angle 3
Answer:
120
Step-by-step explanation:
If f(1)=1, f(2)=4 and f(n)=3f(n-1)-f(n-2) then find the value of f(4).
Answer:
29
Step-by-step explanation:
f(3)=3f(2)-f(1)=3x4-1=11
f(4)=3f(3)-f(2)=3x11-4=29
Hello Good morning can someone give me the answer of this operation?
39 + 1 - 24 / 6=
Also can you tell me the order? :> Thanks!!
Answer:
The answer is 36
Step-by-step explanation:
Because 39+1=40
So then 40-24=16
and then divided by 6 is 36 because when you divide you multiply
The Unit Circle
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
29°
a. (0.87, 0)
b. (0.87, 0.48)
c. (0.48, 0.87)
d. (1, 0.48)
Please select the best answer from the choices provided
Answer:
B. (0.87, 0.48)
Step-by-step explanation:
I calculated it logically
NEED THE AGE OF HIDE
Situation: A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. N = Noe No = inital amount of C-14 (at time t = 0) N = amount of C-14 at time t k = 0.0001 t = time, in years
Answer:
54678 years
Step-by-step explanation:
17. Calculate the profit and loss percent if CP is RS 480 andSP is RS420
Answer:
there is no profit there is loss because CP is greater than SP
Step-by-step explanation:
loss=CP-SP
=Rs480-Rs420
=Rs60
loss%=loss/cp*100%
=60/480*100%
=6000/480
=12.5%
Can anyone please help me with this? i need answers for all the blank spaces. I dont need to know how to do it, just the answers.
Answer:
[tex]\\(x- -1)^{2} + (y- -1)^{2} = 13[/tex]
so, -1, -1 and 13
Identify JK. JK and JM are tangent to W.
Answer:
B. 8
Step-by-step explanation:
Based on the tangent theorem, when two tangents meet at an external point of a circle, the length of the two tangents are said to be equal in length.
Therefore:
JK = JM
Substitute
5x - 12 = x + 4
Collect like terms
5x - x = 12 + 4
4x = 16
4x/4 = 16/4
x = 4
✔️JK = 5x - 12
Plug in the value of x
JK = 5(4) - 12
JK = 20 - 12
JK = 8
PLEASE HELP!! Find mCFD
180°
276
307
53°
Answer:
307°
Step-by-step explanation:
CF is a diameter of the circle. so, any arc connecting C and F has an arc angle of 180° (half-circle).
so, we need to add the arc angle FD.
we know the arc angle ED = 79°.
so, what is left to add is the arc angle FE.
the arc angle FE is the same as BC.
and the arc angle BC is the supplementary angle (means together they have 180°) to 132° :
BC = 180 - 132 = 48°
therefore,
the arc angle CFD = 180 + 48 + 79 = 307°
There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansion in the community and that the income in the new household is $4 million per year. After the new resident arrives, the median household income has _____, and the mean household income has _____. increased; increased not changed; increased not changed; not changed increased; not changed
Answer:
Median income has not changed
Mean income has increased
Step-by-step explanation:
Initial number of houses = 6
Earning per household = $40,000
The initial mean :
$(40,000 * 6) / 6 = $40000
Initial median :
40000, 40000, 40000, 40000, 40000, 40000
= 1/2(n+1)th term,
Median = 40000
A 7th household earns 4,000,000
Mean = ((40000*6) + 4,000,000) / 7 = $605,714
Median = 1/2(n+1)th term
40000, 40000, 40000, 40000, 40000, 40000, 4000000
Median = 4th term = 40000
Alex is making a blanket for her nephew. The blanket has a length of 5 ft and a width of 4 ft. She is going to sew ribbon edging around the perimeter of the blanket. The edging costs $3 per yard. How much will it cost for Alex to get the amount of ribbon edging that she needs? Help Resa 5 ft Skip 4 ft 4 ft 5 ft HINT: There are 3 feet in one yard.
She will need 6 yards. the permiter is 16 which 5 wouldnt be enough
Help me with this.thank you
Answer: 3 miles.
Step-by-step explanation:
Since we are given the information that Ms. Wilson walked ¾miles each day. To calculate the total distance that Ms. Wilson will walk for 4 days, we have to multiply the distance walked each day by 4.
This will be:
= ¾miles × 4
= 3 miles
Therefore, Wilson walked a distance of 3 miles for the 4 days.
Nina purchases a gallon of milk for $3 and some tomatoes for $2 per pound
from the grocery store. Which equation represents the relationship
between the number of poundsp of tomatoes purchased and the total
amount x Nina spent at the grocery store? *
Answer:
x = 3 + 2p (2p is 2 times p)
Simplify the following expression.
1/2 divided by 1/10
A. 1 whole 1/3
B. 1/20
C. 5
D. 1/5
Answer:
I got C.)5
Step-by-step explanation:
What will be the coordinates of the image after a translation up 4 units and right 6 units
Answer:
B
Step-by-step explanation:
To find the answer, translate each point and then use the process of elimination.
For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.
For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.
Mitch jarred 12 liters of jam 2 days. How many days does Mitch need to spend making jam if he want to jar 18 jam in all
Answer:
3 days
Step-by-step explanation:
well, in 2 days mitch can jar 12 liters of jam right? but 12 is divisible by 2. so let’s just do that to help us out later, 12 / 2 = 6
now that we have that, let’s make sure. in 1 day he can jar 6, in 2 he can jar 12.
that seems right! so now, can we add 6 to 12 to make 18? yep! how many more times do we need to add 6? 1 time. so 12 + 6 = 18. every 6 liters is 1 day. so 1 day + 1 day + 1 day (18 liters) is 3 days total!
hope this helped you!
Pls help I’ll brainlest and add extra points asap
Step-by-step explanation:
1. E
2. G
3. I
4. J
5. H
6. F
7. A
8. D
9. B
10. C
Find the volume of the pyramid. Write your answer as a fraction or mixed number.
2 ft
1 ft
2 ft
Answer:
V=lwh /3
Step-by-step explanation:
A line has a slope of -5 and has a point of (-2,2) and (-1, -3). Write the equation for the line in slope intercept form.
9514 1404 393
Answer:
y = -5x -8
Step-by-step explanation:
The y-intercept can be found from ...
b = y -mx
Using the first point, we have ...
b = 2 -(-5)(-2) = -8
Then the slope-intercept equation is ...
y = mx + b . . . . . . . . for slope m and y-intercept b
y = -5x -8
Answer:
the answer is
y=-5×-8
Step-by-step explanation:
:))
Fifty seven percent (57%) of the students applying to a university are accepted. In other words, there is a 57% probability of being accepted. A sample of 12 applicants has been selected. Using Excel, answer the questions below. Please, round your solutions to 4 decimal places (if your answer has less than 4 decimals, it is okay to leave it as it is).
Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]
Answer: 1
Step-by-step explanation:
If x = 0
then, f(x) = 1 - 0
f(x) = 1
x = ±1
Let f(x)=0
1-x²=0-x²=-1x²=1x=±1A mechanic repaired 12 cars one day,
but the next day they repaired 7 cars.
What was the percent change?
Answer:
78
Step-by-step explanation:
when there is a five car diffrence its possible
plzzzzzzzz help for a brainly
If a1 = 6 and an
-5an-1 + 4 then find the value of a4.
Help
Answer:
A4
Step-by-step explanation:
Find the missing side of each right triangle (Pythagorean’s #Theorem)
Answer:
3
Step-by-step explanation:
The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.
a^2 + b^2 = c^2
√27^2 - b^2 = 6^2
27 - b^2 = 36
-27 -27
b^2 = 9
b^2 = √9
b = 3Jonathan's preschool class has 9 girls and 6 boys. Which properties can be used to determine the percent, p, of boys in the class?
addtion
becuase when you add the number of boys and girls together you get the overall number of the class.
Answer: properties would be multiplication and the answer would be 40%
Step-by-step explanation: You can use cross multiplication to identify the answer to this.
[tex]\frac{6}{15}[/tex] --> [tex]\frac{x}{100}[/tex]
An election ballot asks voters to select four city commissioners from a group of fourteen candidates. In how many ways can this be done ?
How find the length of a hypotenuse triangle
Answer:
Step-by-step explanation:
A hypotenuse is calculated on a triangle with a right angle. The hypotenuse is the side opposite the sides with the right angle. The equation is a^2 + b^2=c^2 where the hypotenuse is the square root of c.
Based on the graph, how many distinct real number solutions does the equation x3 – 3x2 + 4 = 0 have?
Answer:
2 solutions
-1 and 2
Step-by-step explanation:
Daniel is very extraverted.He admits that he is not comfortable unless surrounded by other people,and he energetically pursues activities that require the company of others.His cousin Bill,about the same age,is very introverted.Bill is self-reflective and prefers more solitary pursuits.Regardless of their personality characteristics,which of the following is likely to contribute most to their long-term happiness?
A) They are good friends who are willing to help each other in difficult times.
B) They bought a lottery ticket together and were lucky enough to win a huge jackpot.
C) They both have jobs that require very little effort.
D) They both have very few responsibilities and are careful to avoid committing themselves to any community service.
Answer:
A is the most likely answer
Step-by-step explanation:
but how is this a math question?