The equation of line perpendicular to the line A is y = ( 1/6 )x + b
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
6x + y = 1
On simplifying , we get
Subtracting 6x on both sides , we get
y = -6x + 1
Now we can see that the slope of the given line is -6.
The slope of a line perpendicular to this line will be the negative reciprocal of -6, which is 1/6.
Therefore, an equation of a line that is perpendicular to the line 6x + y = 1 is of the form:
y = ( 1/6 )x + b
Hence , the equation of line is y = ( 1/6 )x + b
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Find the area of the region shaded in green. Use 3.14 to approximate pi.
Answer:
254 cm² (to 3 s.f.)
Step-by-step explanation:
Area of shaded region
= area of large circle -area of smaller circle
[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]
Radius of large circle= 15cm
Radius of smaller circle= 12cm
Area of shaded region
= π(15²) -π(12²)
= 225π -144π
= 81π
= 81(3.14)
= 254.34
= 254 cm² (3 s.f.)
please help!! i’ll mark best answer brainliest!!
Answer:
Z = 13
Step-by-step explanation:
Both of the angles should equal 90.
2z + 5 + 5z - 6 = 7z - 1
7z - 1 = 90
7z - 1 + 1 = 90 + 1
7z = 91
7z ÷ 7 = 91 ÷ 7
Z = 13
Hope that helped you and have a wonderful day!
Write an equation of a linear function with slope −2 that passes through the point (4,−5).
Answer:
y=-2x+3
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-2(x-4)
y+5=-2x+8
y=-2x+8-5
y=-2x+3
Please help it’s just one question <3
Answer:
c-270
Step-by-step explanation:
To rotate counterclockwise on a coordinate graph, 90 degrees would put you in quadrant I, so you continue 90 degree rotations until you get to quadrant III.
Hope this helps :)
find the value of x
please help
Answer:
Here we can see that two lines are intersecting so that the angles formed will be vertically opposite angles,
Thus, the value of both angles will be equal
i.e., x+3 = 84
⇒ x = 84 - 3
⇒ x = 81
Thus the value of x is 81
Find the excluded value of the function Y= - 10/6x-5. The excluded value is x =??
Answer:
The excluded value is x = 5/6
Step-by-step explanation:
Here, we want to calculate the excluded value
The excluded value is simply the value of x that will make the denominator of the fraction equals zero
We have this as;
6x -5 = 0
6x = 5
x = 5/6
helppppppppppppppppp
Answer:
sin 2 ( x ) ⋅ sin 2 ( x ) cos 2 ( x ) → sin 2 ( x ) tan 2 ( x )
Step-by-step explanation:
Assuming tan = 2 ( x ) − sin 2 ( x ) = tan 2 ( x ) sin 2 ( x ) ,
tart off by rewriting tan 2 ( x ) in to its sin ( x ) and cos ( x ) components.
sin 2 ( x ) cos 2 ( x ) − sin 2 ( x )
Next find a common denominator
(LCD:
cos 2 ( x )⋅ 1 ) sin 2( x ) cos 2 ( x ) ⋅ ( 1 1 ) − sin 2 ( x ) ⋅ cos 2 ( x ) cos 2 ( x ) → sin 2 ( x ) cos 2 ( x ) − sin 2 ( x ) cos 2 ( x ) cos 2 ( x )
Combine in to a single fraction and factor out a
sin 2 ( x) . sin 2 ( x ) − sin 2 ( x ) cos 2 ( x ) cos 2 ( x ) → sin 2 ( x) ⋅ sin 2 ( x ) cos 2 ( x )
Finally just rewrite sin 2 ( x ) ⋅ sin 2 ( x ) cos 2 ( x ) → sin 2 ( x ) tan 2 ( x )
Which inequality correctly compares 2/5, 1/8 ,5/7
Answer:
The correct answer is -3.9> -4.5
Step-by-step explanation:
The sum of 3 consecutive integers is 30.
What is the third number in this sequence?
Answer:
11
Step-by-step explanation:
the 3 numbers are 9, 10, 11
Answer:
Third number = 11
Step-by-step explanation:
Let 3 consecutive numbers be x ,x +1 , x +2
x +x+1 + x+ 2 = 30
x +x +x + 1 + 2 = 30 {Combine like terms}
3x + 3 = 30 {Subtract 3 from both sides}
3x = 30 - 3
3x = 27 {Divide both sides by 3}
x = 27/3
x = 9
Third number =x + 2 = 9 + 2 = 11
Can two obtuse angles be supplementary? Explain why or why not
Answer:
no
Step-by-step explanation:
No, two obtuse angles cannot form a supplementary angle. By the definition of obtuse angles, the angles that measure greater than 90° are obtuse. If you add two obtuse angles, the sum will be greater than 180°. It will not satisfy the property of the supplementary angles when we add obtuse angles.
Answer: the answer is No
Step-by-step explanation: the answer is no because, two obtuse angles cannot form a supplementary angle. By the definition of obtuse angles, the angles that measure greater than 90° are obtuse. If you add two obtuse angles, the sum will be greater than 180°. It will not satisfy the property of the supplementary angles when we add obtuse angles.
Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3
Answer:
30cm, 60cm
Step-by-step explanation:
Given data
Dimensions of the first rectangle
Length =10cm
Width =20cm
We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3
Hence the dimensions of the second rectangle is
Length =10*3= 30cm
Width = 20*3= 60cm
Kaya’s family spends $105 to rent a boat for 7 days. The total cost, c, of the boat rental is proportional to the number of days, d, the family rents the boat.
How much does it cost, in dollars, to rent the boat for one day?
Answer:
$15/day
Step-by-step explanation:
If the rent is proportional to the number of days, the dividing the total cost by the number of days will tell you the price of each day:
105/7=15
solve the system of equations by adding. check your answer.
2x+2y=2
3x-2y= 43
the solution of the system is ( , ).?
Answer:
The solution of the system is (9,-8)
Step-by-step explanation:
2x+2y=2
3x-2y= 43
5x = 45
x = 9
2(9) + 2y = 2
18 + 2y = 2
2y = -16
y = -8
Can someone tell me what the answer is for x/-9≥3 as a simplified answer
Help? A factory makes candles. Each candle is in the shape of a triangular prism, as shown below. If the factory used 7350 cm³ of wax, how many candles did the factory make?
Answer:
your answer will be 42
Step-by-step explanation:
[tex]v=(\frac{1}{2}bh)H\\\\\frac{1}{2} (7cm)(6cm)(8cm)\\\\=168cm^{3} \\\168cm^{3} =x:7056cm^{3} \\\\\frac{1}{168} =\frac{x}{7056} \\\\x=\frac{7056}{168} =42[/tex]
hope it helps.
Helpppppppp due todayyyy
rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, a in seconds, by the given equation. Using this equation, find out
the time at which the rocket will reach its max, to the nearest 100th of a second.
y=16x^2+ +225x+79
Answer:
7.03 seconds
Step-by-step explanation:
First, you need to differentiate the equation (The derivative of y represents the rocket's velocity):
y' = 32x + 225
Then, set y' to 0 and solve for x
0 = 32x + 225
x = 7.03s
What is the final elevation if
a. A bird starts at 20 m and changes 16 m?
b. A butterfly starts at 20 m and changes -16 m?
c. A diver starts at 5 m and changes -16 m?
d. A whale starts at -9 m and changes 11 m?
e. A fish starts at -9 meters and changes -11 meters?
Answer:
it has to be b I don't know for sure tho
Answer:
A. So assuming we are dealing with displacement
20 + 16 = 32 m
B. 20 - 16 = 4m
C. 5 - 16 = - 11m
D. - 9 + 11 = 2m
E. - 9 - 11 = - 20m
The length of one side of APTV is given. Use the relationship between the sides of a 30°-60°-90° triangle to find the lengths of the other two sides.
Answer:
it's going to be 3 and 6
Step-by-step explanation:
hope this one is right :)
help I need it asap
Answer:
for no 7 its none for 8 its st
Step-by-step explanation:
I hope this helps
Solve for x in the equation 2 x squared minus 5 x + 1 = 3.
Answer:
x=-0.35 or x=2.85
Step-by-step explanation:
2x^2-5x+1=3
2x^2-5x-2=0
use quadratic formula
x=(5±√41)/4
decimals = x=-0.35 or x=2.85
Answer:
option D
Step-by-step explanation:
I took the test
A delivery driver is traveling a total of 250 miles from a warehouse to a store at an average speed of 45 miles per hour. The function f(x)=250-45xf(x)=250−45x represents the distance remaining, in miles, after traveling for xx hours.
Answer:
115miles
Step-by-step explanation:
Given the function of the distance remaining represented by the function
f(x) =250-45x where;
x is the time taken in hours
Since we are not told what to loom for, we can calculate the distance remaining after 3hrs.
Substitute x =3 into the equation
f(3) = 250-45(3)
f(3) = 250-135
f(3) = 115
Hence the distance remaining after 3 hrs is 115miles
How to covert this y=(x-4)(x-12) into standard form
Answer:
x^2-16x+48
Step-by-step explanation:
Use foil,
x^2-12x-4x+48
x^2-16x+48
can someone help plz???
Answer: 420 cm
Step-by-step explanation:
To find the volume of a shape you have to multiply the length times the width times the height.
6*7*10=420
someone please help me
Answer:
what do you need?
Step-by-step explanation:
is there like a photo or something?
Hallie made 12 quarts of homemade yogurt. She put the yogurt in 34-cup containers. How many containers did Hallie fill?
Answer:
1 container and 14 cups
Step-by-step explanation:
We know that 1 quart = 4 cups
therefore, 12 quart = 48 cups
each container has 34 cups
so one container would be full and remaining 48-34 =14 cups can be filled in another container.
if $40 equals 15 gallons, how much money is in 3 gallos? this is due soon pls help
Answer:
$8
Step-by-step explanation:
$40:15 gallons
:3 gallons
So first you say what did you do to 15 to get three?
15÷3= 5
Now you divide forty by five since that is what you did to 15 to get three.
40÷5= 8
A coach of a basketball team orders hats for the player on his team .Each hat cost $9.95.The shipping charge for the entire order is $5.00.There is no tac in this order /The total cost of the coachs order is less then $125.00.Which ineqo can be used to determine the greatest number of hats ,h,the coach orders?
Answer:
the answer is 9.95h+ 5 < 125
Step-by-step explanation:
Hence, write as single
frachon in its lowest terms.
2/y-1 - 4/y^2-1
Answer:
[tex]\frac{2}{y+1}[/tex]
Step-by-step explanation:
Factorise the denominator of the second fraction
y² - 1 = (y - 1)(y + 1) ← difference of squares
To obtain a common denominator
multiply numerator/ denominator of first fraction by (y + 1)
= [tex]\frac{2(y+1)}{(y-1)(y+1)}[/tex] - [tex]\frac{4}{(y-1)(y+1)}[/tex] ← subtract numerators leaving the common denominator
= [tex]\frac{2y+2-4}{(y-1)(y+1)}[/tex]
= [tex]\frac{2y-2}{(y-1)(y+1)}[/tex]
= [tex]\frac{2(y-1)}{(y-1)(y+1)}[/tex] ← cancel common factor (y - 1) on numerator/denominator
= [tex]\frac{2}{y+1}[/tex]
Any help please? (pre-algebra) Please provide an explanation, if not it’s fine but one would be appreciated.
Answer:
Option C
Step-by-step explanation:
Height of the rocket is modeled by,
h(t) = -16t² + 125t + 24
Height of the rocket in t = 0.1 seconds
h(0.1) = -16(0.1)² + 125(0.1) + 24
= -0.16 + 12.5 + 24
= 36.34 feet
At t = 5 seconds,
h(0.5) = -16(5)² + 125(5) + 24
= -400 + 625 + 24
= 249 feet
At t = 5.6 seconds,
h(5.6) = -16(5.6)²+ 125(5.6) + 24
= -501.76 + 700 + 24
= 222.24 feet
At t = 7.8 seconds,
h(7.8) = -16(7.8)² + 125(7.8) + 24
= -973.44 + 975 + 24
= 25.56 feet
Therefore, change in height is maximum at t = 5.6 seconds
Option C will be the answer.