Line m is represented by the equation 2x + 4y - 12. Which of the following equations represents a line perpendicular to line m and intercects line m at its y-intercept?
-2x + y = 3
- 2x + y = 12
4x - 2y = 3
4x - 2y = 12
Answers
Answer:
A) -2x + y = 3
Step-by-step explanation:
The equation of the line that is perpendicular to the given line and passes through its y-intercept is -2x + y = 3.
We are given that;
The equation= 2x + 4y - 12
Now,
The given line is 2x + 4y - 12 = 0.
To find the slope of a line perpendicular to this line, we need to find the slope of the given line first.
Rewrite the equation in slope-intercept form which is given by:
y = mx + b
where m is the slope and b is the y-intercept.
2x + 4y - 12 = 0
4y = -2x + 12
y = (-1/2)x + 3
Hence, the slope of the given line is -1/2.
The slope of a line perpendicular to this line is the negative reciprocal of this slope which is given by:
[tex]m(perpendicular)[/tex] = -1/m = -1/(-1/2) = 2
To find an equation of a line that passes through the y-intercept of the given line and has a slope of 2.
The y-intercept of the given line can be found by setting x = 0:
2(0) + 4y - 12 = 0
y = 3
Hence, the y-intercept of the given line is 3.
The equation of a line with a slope of 2 and passing through (0,3) can be found using point-slope form which is given by:
y - y1 = m(x - x1)
where (x1,y1) = (0,3) and m = 2.
Substituting these values we get:
y - 3 = 2(x - 0)
y - 3 = 2x
y = 2x + 3
Therefore, by the equation answer will be -2x + y = 3.
To learn more about equations :
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Related Questions
Last year Essex Manufacturing paid $3500 for utilities. This year the company used energy-saving techniques to reduce the utility bills by 13% of last year's cost. What was the cost of utilities for Essex Manufacturing this year?
Answers
Answer:
$3045
Step-by-step explanation:
You need to find 13% of 3500, and subtract it from 3500.
13% of 3500 = 455
3500 - 455 = 3045
Help......,...........
Answers
66 degrees
Thing you have to know for these types of problems: The total measure of all angles is 180 degrees.
With that in mind, if we add 83 and 31, we get 114 degrees.
Now subtract from 180 and you will get 66 degrees.
Hope this helps, Please mark branliest if it did
Solve for S pls!!!
5s = 3s + 30
Answers
Answer:
s= 15
Step-by-step explanation:
3 x 15 = 45
30 + 45 = 75
75 divided by s(15) =
5
this is how I got my answer
good luck and I hope this helps! :)
and can I get a brainliest? you don't have to, though
What is the slope of the line that passes through the points (-9, 5)and (-17, 5) ? Write your answer in simplest form.
Answers
Answer:
0
Step-by-step explanation:
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{5-5}{-17-(-9)}=\frac{0}{-8} =0[/tex]
slope=0
where do you put a decimal on 64
Answers
Answer:
Whats the question tho
Step-by-step explanation:
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
(2x - 20) (4x - 10)
Answers
(4x - 10) = 25
Consider the equation and its solution.
8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.
Which property is used in the last step to find that x = 10?
Answers
Answer:
The answer is Division property of equality
Step-by-step explanation:
Answer:
division property of equality
Step-by-step explanation:
Just took the test on edge
Karissa is going water skiing. She
can purchase skis for $125 or she
can rent skis for $30 an hour. In
both cases she must rent a safety
flotation device to wear that is $5
per hour. Which inequality shows the
number of hours Karissa must ski
for the cost of buying skis to be less
than renting skis?
A 125 + 5x > 30x
B 125 + 5x < 35x
C 125 + 5x < 30x
D 125 + 5x > 35x
Answers
Answer:
A
Step-by-step explanation:
Worth all my points plus Brainlist answer number 14 please it’s due in three hours
Answers
Answer:
Answer below
Step-by-step explanation:
2.08
2.082
2.8
2.82
√8 (it's 2.8284)
Answer:
let me know if im incorrect!
Step-by-step explanation:
2.082, 2.08, 2.8, 2.82, 8 squared (2.828)
The number π is A. Rational B. Irrational
Answers
Explain why 10 x 2 is equivalent to 10 ÷ 1/2.
Answers
Answer:
in order to divide by a fraction, you need to multiply by its reciprocal instead, which would be 2 over 1 (2/1)
Step-by-step explanation:
in this case, 10 divided by 1/2 turns to 10 x 2/1
i tried my best, sorry if i couldnt help
Help a gal out yal!
1.) Which of thr following equations is noy a linear equation?
A.) x-4y=-1
B.) x=2
C.) y=x-1/2
D.) x 2=5y
2.) Which of the following points lies on the graph of this equation?
2y=x+3
A.) (0,3)
B.) (2,5)
C.) (-1,2)
D.) (1,2)
3.) Fin the value of y that makes the equation 3y = x + 2 true, when x=1.
A.) 1
B.) 3
C.) 1/3
D.) 2
Answers
2.) D, (1,2) i made a graph and checked myself!
3.) A. because if x = 1 you do 2+1 and get 3y=3 then divide on both sides and end up with y=1.
hope this was helpful!
Given: K is between H and J, HK = 2x − 5, KJ = 3x + 4, and HJ = 24. What is the value of x?
Answers
Answer: x = 5
Step-by-step explanation:
A master baker can fill a big order in 6 hours. A student baker can fill the same order in 8 hours. They start working together, and after 2 hours, the student leaves and the master baker finishes the work alone. How long will it take him to finish the order?
Answers
Answer:
It will take the master baker 2.86 hours to finish the remaining order after 2 hours.
Step-by-step explanation:
the time taken for the master baker to fill the order = 6 hours
the time taken for the student baker to fill the order = 8 hours
let the time taken for both to finish the work together if they work at the same rate = x
[tex]\frac{x}{8} + \frac{x}{6} =1\\\\\frac{3x + 4x}{24} = 1\\\\7x = 24\\\\x = \frac{24}{7}\\\\x = 3.43 \ hours[/tex]
After 2 hours, the remaining time for them to finish the work together is given by;
t(remaining) = 3.43 hours - 2 hours = 1.43 hours
Working at the same rate, 2 persons will take 1.43 hours to finish the remaining work.
One person will take hour many hours ?
2 persons working at the same rate --------> 1.43 hours
1 person working at the same rate -----> ?
= 2 x 1.43 hours
= 2.86 hours
Therefore, it will take the master baker 2.86 hours to finish the remaining order after 2 hours.
Answer:
2 hours 30 minutes
Step-by-step explanation:
Given f(x) = 17- x?, what is the average rate of change in f(x) over the interval [1, 5]?
-6
-1/2
1/4
1
Answers
Answer: -6
Step-by-step explanation: I just took the test
The bill at a restaurant came to $136.40.The customer decided to leave a 15% tip.What was the total bill including tip.
Answers
Answer:
$156.86
Step-by-step explanation:
To calculate tip, you need to multiply the total bill by the percent tip you are going to leave. In this case the bill is $136.40, and the customer is going to leave a 15% tip. So, you would want to move the decimal place over to the left by 1, which you should get 13.64 as your number. Then divide it in half, which should give you 6.82. Now add 13.64 and 6.82 with the original bill price. If you don't add the 13.64 you would've forgotten the 10% part of the tip. At the end you should get $156.86 as your final bill.
what is 15 3/5 times 6
Answers
Answer: 93 3/5
Step-by-step explanation:
3/5 + 3/5 + 3/5 = 9/5
9/5 + 9/5 = 18/5 = 3 3/5
15 x 6 = 90
90 + 3 3/5 = 93 3/5
Let me know if this helped! :D
what is 3/2=9/10k im having troble lots rly
Answers
Answer:
k= 5 over 3 =1.667
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3)/(2)-((9)/(10)*k)=0
simplify 9/10
3 9
— - (—— • k) = 0
2 10
simplify 3/2
3 9k
— - —— = 0
2 10
Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 10
Least Common Multiple:
10
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 1
Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 3 • 5
—————————————————— = —————
L.C.M 10
R. Mult. • R. Num. 9k
—————————————————— = ——
L.C.M 10
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3 • 5 - (9k) 15 - 9k
———————————— = ———————
10 10
Pull out like factors :
15 - 9k = -3 • (3k - 5)
-3 • (3k - 5)
————————————— = 0
10
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-3•(3k-5)
————————— • 10 = 0 • 10
10
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-3 • (3k-5) = 0
Solve : -3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : 3k-5 = 0
Add 5 to both sides of the equation :
3k = 5
Divide both sides of the equation by 3:
k = 5/3 = 1.667
one solution was found
k = 5/3 = 1.667
hope it helps sry its so long
One of the largest swimming pools in the world is in Garden City, Kansas. It is rectangular and
measures 67 meters by 100 meters. If you swim diagonally across the pool, how many meters would
you swim? Round your answer to the nearest whole meter
Answers
Answer:
The answer is 7,000 meters
Step-by-step explanation:
because you do 67*100 which equals to 6,700 and then u round it which makes it equal to 7,00 meter
Answer:
120 meters (approx)
Step-by-step explanation:
Think of the rectangle like two triangles;
if we find the hypotenuse of one, then we know the length of the rectangle across
Remember the Pythagorean theorem:
a^2 + b^2 = c^2
where a and b are the sides of the triangle
so then substitute in the known values:
a = 100
b = 67
now solve
100^2 + 67^2 = c^2
14489 = c^2
sqrt(14489) = c
120.37 = approx c
x² – x² – 3x + 3
all rational zeros to a polynomial
Answers
Answer:
x = 1
Step-by-step explanation:
[tex] {x}^{2 } - {x}^{2} - 3x + 3 \\ - 3x + 3 \\ 3x = 3 \\ x = 1[/tex]
If you simplified 10/15 as a fraction what would the answer be
Answers
Answer:
2/3
Step-by-step explanation:
10/15 can be divided by 5
freeZ Pointz!!!!!!!!!
Answers
Answer:
thankk youu
Step-by-step explanation:
Are the ratios 12:20 and 4:5 equivalent?
Answers
12:20, devide it by 4 and you'll get
= 3:5
Thus
12:20 [tex]\red{\bold{\neq}}[/tex] 4:5
The sum of 4x^3 +2x-3 and 3x^2-5x-5 is
Answers
Answer:
4x³ + 3x² - 3x - 8
Step-by-step explanation:
Step 1: Write expression
(4x³ + 2x - 3) + (3x² - 5x - 5)
Step 2: Combine like terms
4x³ + 3x² - 3x - 8
Answer:
4x^3+3x^2-3x-8
Step-by-step explanation:
Use parentheses and combine like terms.
What is the solution set for -4x + 10 ≥ 5x + 55?
Answers
Answer:
-4x + 10 ≥ 5x + 55
-9x + 10 ≥ 55
-9x ≥ 45
x ≤ -5
Step-by-step explanation:
Pls i need to be the brainlist PLS
Answer:
x < -5
Step-by-step explanation:
-4x > 5x + 45
-9x > 45
x < -5 <--- switches because dividing by negative number
In a class of 30 students 60% said they walk to school.
A) estimate how many students in the class walk to school.
B) write a proportion that you could use to determine the number of students in the class who walk to school.
C) solve your proportion. Check that your answer is reasonable.
Answers
Answer:
a) 18
b) 18 : 12
c)3 : 4
Step-by-step explanation:
a) 30 × [tex]\frac {60}{100}[/tex]
= 18 students walk to school
b) No. of students No. of students
who walk to school : who walk to school
18 : 12
c)
18 : 12
=18/6 : 12/3
=3 : 4
What is the property of 42x1=42
Answers
Please help me with this
Answers
Answer:
D
Step-by-step explanation:
Explanation: Let’s take the x of 4 and y of 10 for example. Now let’s plug in with D
y=2x+2
10=2*4+2
10=8+2
10=10
To check you can try again with the other given numbers!!
evaluate 7m+ 3mn when m=8 and n=14?Answers:aA:84,B:196,C:392,D=168
Answers
Answer:
c) 392
Step-by-step explanation:
How do I simplify (6x-10x^2+3)-(5x^2+3x-4) ???
Answers
Answer:
Step-by-step explanation:
6x-10x^2+3-(5x^2+3x-4)
when there is a - in front of an expression in (), change the sign of each term in the expression
6x-10x^2+3-5x^2-3x+4
now collect like terms
3x-10x^2+3-5x^2+4
3x-15x^2+3+4
3x-15x^2+7
now use the commutative property to reorder the terms
-15x^2+3x+7
=-15x^2+3x+7