[tex]0.\overline{36} = \dfrac{36-0}{99} = \dfrac{36}{99} = \dfrac{4}{11}\\\\\\0.3\overline{6}= \dfrac{36-3}{90} = \dfrac{33}{90} = \dfrac{11}{30}\\\\\\0.36 = \dfrac{36}{100} = \dfrac{9}{25}[/tex]
A line passes through (9,2) and (12,-4). Write the equation of the line in standard form.
A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16
For the 1st equation,
2x + y = 20Putting x = 9, y = 2or, 2 (9) + 2 = 20or, 18 + 2 = 20or, LHS = RHSNow, putting x = 12, y = -4 in the above equation, we have2(12) + (-4) = 20or, 24 - 4 = 20or, LHS = RHS.So we can see that the first equation is the equation of the line.This is given in the graph in the picture.Like this way, if we check with other equations, we see that they are not the required equation of the line.Answer:
A. 2x + y = 20
Hope you could get an idea from here.
Doubt clarification - use comment section.
how do you write the equation of the line that passes through the points (-9,4) and (7,-2)
Answer:
y = -3/8x+5/8.
Step-by-step explanation:
First, we'll find the slope. This is (y_2-y_1)/(x_2-x_1). So, we do -2 - 4 / 7 --9. This goes to -6/16. Simplifying gets us -3/8. Now, we have y= -3/8x + b. We can solve for b by plugging in points. Using the first point, it goes to 4 = 27/8+b, we can solve for b now, getting us 5/8. So, the complete equation is y = -3/8x+5/8.
Answer:
y = (-3/8)x + 5/8
Step-by-step explanation:
First we need to find the slope of the line connecting these two points. Slope is represented by m and is equal to rise/run.
Going from the first point to the second, we see x increasing by 16 (this is the run) and y decreasing by 6 (this is the rise). Thus, the slope of this line is
m = rise/run= -6/16, or -3/8.
Adapt the slope-intercept formula y = mx + b to this situation. From the point (-9, 4) we get x = -9 and y = 4, and m = -3/8. Then we have:
4 = (-3/8)(-9) + b, from which we get the y-intercept, b:
4 = 27/8 + b, or 32 = 27 + 8b, or 8b = 5, so that b = 5/8.
The equation describing this situation is y = (-3/8)x + 5/8.
convert the following equation into standard form. y= -5x/6+2
Answer:
5x + 6y = 12
Step-by-step explanation:
The standard form of a linear equation is Ax + By = C.
Multiply both sides by 6
6y = 6(-5x/6 + 2)
Simplify the right side
Simplify
6(−5x/6+2)
Apply the distributive property = a ( b + c ) = ab + ac
6y = 6( −5x/6) + 6 ⋅ 2
Cancel the common factor of 6
Move the leading negative in −5x/6 into the numerator
6y = 6 −5x/6 + 6 ⋅ 2
Cancel the common factor 6
Rewrite the expression
6y = −5x + 6 ⋅ 2
Multiply 6 by 2
6y = -5x + 12
Move all terms containing variables to the left side of the equation
Add 5x to both sides of the equation.
6y + 5x = 12
Reorder 6y and 5x
5x + 6y = 12
Jett leaves for the airport at 3:20 p.m. The airport is a 35-minute drive from his house. What time does he reach the airport?
Answer:
3:55
Step-by-step explanation:
add 35 to 20 then put the hour =
3:55
120% of what number is 102
Answer:
122.4 i think
Step-by-step explanation:
PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!
First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.
Hope this helps!
If a car travels 299.8 miles in 7.5 hours, what is the car's speed? please help quick!
45 mi/hr
27.5 mi/hr
25 mi/hr
40 mi/hr
Answer:
answer is D
Step-by-step explanation:
speed = distance divide by time.
299.8/ 7 .5
40
Ben worked 5 hours at x dollars per hour. Julie worked 8 hours
and earned twice as much as Ben per hour. Phil worked 10
hours and earned 4 dollars an hour less than Julie. Choose the
expression that is correctly simplified and best represents
their total wages.
A. 31x - 4
B. 31x – 40
C. 41x - 10
D. 41x -40
Explain how to calculate 32% of 150
Answer:
32% of 150 is 48.Step-by-step explanation:
32% of 150=> 150 x 32/100=> 3 x 32/2=> 3 x 16=> 48Conclusion:
Therefore, 32% of 150 is 48.
Hoped this helped.
[tex]GeniusUser[/tex]
41)533
What is 533 divided by 41 using Partial Quotients?
Answer:
13
Step-by-step explanation:
533÷41=13 just use a calculator
solve similar triangles (advanced)
Step-by-step explanation:
since m<CBA = m<EDA = 90
, < A is a common angle
then : triangle EDA is similar to triangle CBA
then : 11/3+X = 2/3
33=6+2X
27=2X
X=13.5
6>2k+4
WONDERINGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answer:
is it 1?
Step-by-step explanation:
HELP ASAP PLEASE!!
full work shown gets brainliest!!
What is the product of 8 radical 5and 2 radical 30 in simplest radical form?
Answer:
= 40√6
Step-by-step explanation:
least common multipler of 8,2:8
What is the slope of the line?
I really need help
Slope
m=(2-0)/1+2m=2/3I AM BEGGING YALL TO HELP ME BRAINLYEST
Answer:
56
Step-by-step explanation:
PEMDAS
4+372-320
376-320
56
: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?
Your teacher will grade your response to ensure you receive proper credit for your answer.
Explain how to find the degree of a polynomial.
please....help...
Answer:
Step-by-step explanation:
Degree is defined as the highest power of the polynomial function.
The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.
The polynomial function has n roots or zeroes.
Consider a polynomial function
The highest power of the polynomial function is 4.
Therefore, the degree of the polynomial function is 4.
Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.
The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.
hlo do this question plz
out of 9o civil servants 65 were working in the office ,50 were working in the field and 35 were working in both the premises .
a)How many civil servants were absent ?
B)How many civil servants were working in the field only?
Answer:
(a): 10 civil servants who were absent.
(b): 15 civil servants are in field only.
Step-by-step explanation:
Let;
Civil servants in office be oCivil servants in field be f[tex]{ \rm{ \sum(n) = 90}} \\ \\ { \rm{n(o) = 65}} \\ \\ { \rm{n(f) = 50}} \\ \\ { \rm{(o \: { \huge{n}} \: f) = 35}}[/tex]
Question (a):
Let the absentees be x
[tex]{ \rm{x + (65 - 35) + (50 - 35) + 35 = 90}} \\ \\ { \rm{x + 80 = 90}} \\ \\ { \rm{x = 10}}[/tex]
There are 10 absentees.
Question (b):
Servants in field only;
[tex]{ \rm{n(f \: only) = 50 - 35}} \\ \\ { \rm{n(f \: only) = 15 \: servants}}[/tex]
30,098 / 6
Quotient and Remainder
Answer:
5,016.33333333
Step-by-step explanation:
divide
I NEED ANSWER ASAPPPP
boy-7/12
girl-5/12...................
Consider the line y=-5x+3. Find the equation of the line that is parallel to this line and passes through the point (3,4). Find the equation of the line that is perpendicular to this line and passes through the point (3, 4).
Answer:
parallel
y= -5x + 19
perpendicular
y= (1/5)x + 17/5
Step-by-step explanation:
yeah-ya......... right?
WHAT IS 10x+55 = 100
Answer:
[tex]x=\cfrac{9}{2}\: or\: x=4.5[/tex]
Step-by-step explanation:
[tex]10x+55 = 100[/tex]
[tex]10x+55-55=100-55[/tex]
[tex]10x=45[/tex]
[tex]\cfrac{10x}{10}=\cfrac{45}{10}[/tex]
[tex]x=\cfrac{9}{2}[/tex]
HOPE IT HELPS!
Subtract 55 from both sides.
10x=100-55
Simplify 100-55 to 45.10x=45
Divide both sides by 10.
[tex]x = \frac{45}{10} [/tex]
Simplify[tex]x = \frac{9}{2} [/tex]
If y ♾x and y = 2 when x = 8, then y = 3 when x =
Answer:
12
Step-by-step explanation:
The Constant (K) is equal to 8/2 aka 0.25 making the formula now y = 0.25 × x
We have y as 3 so
3 = 0.25 × x we take the 0.25 to the other side by dividing on both sides.. this makes it cancel out on the right.
x is now equal to 3/0.25 which is 12. X = 12
Answer:
Is the answer 9 for the last x
Step-by-step explanation:
hope this helps
5.
Which of the following equations describes the graph?
Step-by-step explanation:
I've been a substitute for a few day for College students so the answer is y equal s x2-5x+2
Evelyn can run 3 miles in 40 minutes
Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles
What does the point (12,45) represent?
A
For 45 dictionaries, the cost is $12.
B The cost of each dictionary is 12 divided by $45.
C
The cost of 12 dictionaries is $45.
D
The total cost of the dictionaries is 12 times $45.
Six less than a number is twenty
Answer:
the start numbew woould be 26
Step-by-step explanation:
6 less than 26 is 20
Answer:
n=26
Step-by-step explanation:
Santa’s reindeer can fly at a speed of 42,444,445.56 miles per hour. At that rate, how far can they travel in 3.5 hours?
Answer:
Answer: 148555559.46
Step-by-step explanation:
42,444,445.56 x 3 =127333336.68
42,444,445.56 divided by two is 21222222.78
127333336.68 + 21222222.78 = 148555559.46
Given the point and the slope, write the function in point-slope form:
(2,−5);m=23
Group of answer choices
y−5=23(x−2)
y+5=23(x−2)
y−5=23(x+2)
y+5=23(x+2)
Answer:
2nd answer choice
Step-by-step explanation:
point slope form: y-y1=m(x-x1)
y-(-5)=23(x-2)
y+5=23(x-2)
Answer:
(b) y+5=23(x−2)
Step-by-step explanation:
The point-slope form for the equation of a line is ...
y -k = m(x -h) . . . . . . point (h, k), slope m
You have point (2, -5) and m=23, so the equation becomes ...
y -(-5) = 23(x -2)
y +5 = 23(x -2) . . . . . . simplify a bit
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotent.