Answer:
The distance between the two parallel lines is y = -56·x - 1 and the parallel line that passes through the point (6, -4) is 5.91 units
Step-by-step explanation:
The parameters given are;
Equation of the line y = -56·x - 1
The point the parallel line passes = (6, -4)
Given that the slope and intercept form of a line is y = m·x + c
Where:
m = The slope = (y₂ - y₁)/(x₂ - x₁)
c = y- intercept
Comparing y = m·x + c with y = -56·x - 1 gives;
m = -56, c = -1
The equation of the parallel line is presented as follows
y - (-4) = (x - 6)(-56)
y = -56x +336 - 4 = -56x + 332
The formula for the distance, d, between two parallel lines is given by the following relation;
[tex]d = \dfrac{\left | c_1 - c_2\right |}{\sqrt{{a}^{2}+{b}^{2}} }[/tex]
Where:
c₁ and c₂ are the coordinates of the point constant y-intercept in both equations when the line equation is written as follows;
y = -56·x - 1 → y + 56·x + 1 = 0
a and b are the x and y coefficients
Which gives;
[tex]d = \dfrac{\left | 1 - 332\right |}{\sqrt{{56}^{2}+{1}^{2}} }[/tex] which gives [tex]d = \dfrac{331 \cdot \sqrt{3137} }{3137} = 5.91[/tex]
HELP ME I WILL MAKE YOU BRAINLIEST
Answer:
dependent
Step-by-step explanation:
[tex]6x - 2y = - 12 \\ 2y = 6x + 12 \\ y = 3x + 6[/tex]
as you can see it's equal to the first equation.
then those two lines are the same!
means dependent.
What are the solution(s) to the quadratic equation 40 – x2 = 0?
O x= +2/10
O x = +4/10
O x = +2/5
O x = +4,5
Help please it’s timed :)
Answer:
The answer is 2 root 10.
hope it helps..
Answer:
x = ±2[tex]\sqrt{10}[/tex].
Step-by-step explanation:
40 - x^2 = 0
Subtract 40 from both sides
-x^2 = -40
Divide both sides by -1
x^2 = 40
Find the square root of both sides
x = ±[tex]\sqrt{40}[/tex]
x = ±[tex]\sqrt{2 * 2 * 2 * 5}[/tex]
x = ±[tex]\sqrt{2^2 * 2 * 5}[/tex]
x = ±2[tex]\sqrt{2 * 5}[/tex]
x = ±2[tex]\sqrt{10}[/tex]
Hope this helps!
EQAO Watch Sammy and Pippa's teacher gives them a homework question to solve. She tells them to plot the points A(5, -1), B(9, 4), C(15, 1) and D(11, -4) on a grid and decide whether the shape is a square or a rhombus. Sammy and Pippa do their slope calculations and Sammy insists the shape is a square whereas Pippa insists the shape is a rhombus. Who is right? Show your calculations in your reasoning!
Answer:
None of them are correct. The shape in their homework is a rectangle
Step-by-step explanation:
I would be determining my answer using Length
To find the length of the sides, when you have vertices (x₁, x₂)and (y₁, y₂) we use the formula
√(x₂-x₁)²-(y₂-y₁)²
A(5, -1), B(9, 4), C(15, 1) and D(11, -4)
Side/ Length AB = A(5, -1), B(9, 4)
√(x₂-x₁)²-(y₂-y₁)²
= √(9 - 5)² + (4 - (-1))²
= √4² + 5²
= √16 + 25
= √41
Side/ Length BC = , B(9, 4), C(15, 1)
= √(x₂-x₁)²-(y₂-y₁)²
= √(15 - 9)² + ( 1 - 4)²
= √6² + -3²
= √36 + 9
= √45
Side/ Length CD = C(15, 1) and D(11, -4)
√(x₂-x₁)²-(y₂-y₁)²
= √(11 - 15)² + (-4 - 1)²
= √-4² + -5²
= √16 + 25
= √41
Side/ Length AD = A(5, -1), D(11, -4)
√(x₂-x₁)²-(y₂-y₁)²
= √(11- 5)² + (-4 - (-1))²
= √6² + 3²
= √36 + 9
= √45
From the Calculations above ,
AB = √41
BC = √45
CD = √41
AD = √45
A square and a rhombus are shapes with 4 sides and all their sides are equal to each other.
From the above calculation, we can see that
We can see that Length AB = Length CD
Length BC = Length AD
This means , the Opposite sides only are equal to each other.
Therefore, none of them is correct. The shape in their homework is a rectangle
Answer:
Pippa is right.
Step-by-step explanation:
Pippa is right because when you plot it on a graph you can see that there are no 90-degree angles and a square needs 4 of them while a rhombus has only 2 acute angles and 2 obtuse angles and that is what this shape has. That is why Pippa is right.
the meeting room needed 4 times the amount of chairs to seat the 60 students. How many chairs did the meeting room have ?
Answer:
15
Step-by-step explanation:
4x=60
60 divided by 4 = 15
Which of the following is a monomial?
good morning :) The train to San Fernando travels 120 miles per hour. How long will or trip take if San Fernando is 750 miles away? A. 6 hours 15 minutes B. 6 hours C. 5 hours 30 minutes D. 5 hours 15 minutes
Answer: A 6 hours 15 minutes
Step-by-step explanation:
Time = Distance / Speed
Time = 750 / 120
= 6.25 hours
Answer:
Option A
Step-by-step explanation:
Using unitary method:
=> 120 miles = 1 hour
=> 1 mile = 1/120 hour
Multiplying both sides by 750
=> 750 miles = [tex]\frac{750}{120}[/tex] hours
=> 750 miles = 6.25 hours
=> 750 miles = 6 hours 15 minutes
WILL MARK BRAINLIEST!!! PLZ HELP!! 20 PONTS
Answer:
2nd Option
Step-by-step explanation:
A is incorrect because both mediums are at 75.
C is incorrect because Class B has a higher upper quartile.
D is incorrect because Class B has a max score of 100 while Class A has a max score of 95.
Answer: B
Step-by-step explanation:
The lower quartile is the end of the box, so class A box is greater because it is higher up and class B is lower down meaning it is less than,
Hope this helped!
<!> Brainliest is appreciated! <!>
A. 4.5 B. 10 C. 5 D. None of the above ??
Set up a ratio:
12/24 = x/9
Cross multiply:
24x = 108
Divide both sides by 24:
X = 4.5
The answer is 4.5
Deshaun is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Suppose each bag of fertilizer covers 22 square feet. How many bags will he need to cover the garden?
Answer:
length x width = area
14 x 11 = 154
154 / 22 = 7 fertilizer needed
Hope this helps
Step-by-step explanation:
Please explain how I can simplify this: (1/x) / (1/x)^2 + 1 to get this answer x/ x^2 + 1
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{\frac{1}{x} }{(\frac{1}{x})^2+1 }[/tex]
= [tex]\frac{\frac{1}{x} }{\frac{1}{x^2}+1 }[/tex]
Multiply numerator/ denominator by x² to clear the fractions
= [tex]\frac{\frac{1}{x}(x^2) }{(\frac{1}{x^2}+1)x^2 }[/tex]
= [tex]\frac{x}{1+x^2}[/tex]
= [tex]\frac{x}{x^2+1}[/tex]
Find x.
help please !!!
Answer: D.) Cultural knowledge
Step-by-step explanation:
Answer:
x=27solution,
Sum of exterior angles=360°
[tex]3x + 2x + 40 + 4x + x + 50 = 360 \\ or \: 3x + 2x + 4x + x + 40 + 50 = 360 \\ or \: 10x + 90 = 360 \\ or \: 10x = 360 - 90 \\ or \: 10x = 270 \\ or \: x = \frac{270}{10} \\ x = 27[/tex]
Hope this helps..
Good luck on your assignment...
Your friend says she used a common
denominator to find fractions
equivalent to 2/3 and 8/9 and Is your friend correct explain
correct? Explain.
Step-by-step explanation:
An equivalent fraction can be found by either multiplying the numerator and denominator by the same number or dividing the numerator and the denominator by the same number.
To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10
Answer:
y = 6
Step-by-step explanation:
You should always multiply by the easiest choice(which I see is multiplying the 7 and the 3 to get 21
7(9x + 3y = -18)
-3(8x + 7y = 10)
63x + 21y = -126
-24x -21y = -30
39x = -156
and solve to get x = -4
then plug -4 into x any of the equations to get y = 6
( 8(-4) + 7y = 10
-32 + 7y = 10
7y = 42
y = 6)
Answer:
The first equation should be multiplied by - 7 and the second equation by 3 .
Step-by-step explanation:
answer on edge
II NEED THIS ASAP WILL GIVE BRAINLIEST Which number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.
Answer:
An arrow that goes from 0 to negative 3 and from negative three to 4.5
Give me brainliest,5stars,and thanks plz!
Answer:
arrow goes from negative 3 to negative 1.5 and from 0 to negative 3
Step-by-step explanation:
Gear A makes 2 revolutions for every 5 revolutions gear B makes. If gear A makes 36 revolutions in 1 minute, then how many revolutions does gear B make in 1 minute?
Which point is a solution to the system;
2x + 2y = 18
-2x - 2y=-6
a
(3,5)
None of these
b
С
d
(1, 2)
(0,3)
(9,0)
e
Answer:
None of the listed
Step-by-step explanation:
[tex]Solve-for ;x -in\\ 2x+2y =18\\x = 9-y\\Substitute , 9-y -for ,x- in -2x-2y=-6\\-2(9-y)-2y =-6\\18+2y-2y=-6\\18 = -6\\The -statement- is -false \\Answer ; No -Solution[/tex]
the amount $3:80 is 4% of what price?
Please in need the answer asap
$7.80
$15.20
$95.00
$97.20
Answer: C) $95
Step-by-step explanation:
4% is 4/100. Thus, simply divide 3.80 by 4/100 to get $95.00.
Hope it helps <3
Pleas answer this question now in two minutes
Answer:
CDB and HGI
Step-by-step explanation:
Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.
Find the geometric mean of 24 and 32
Answer:
its 16 √3
Step-by-step explanation:
Geometric mean of given values is 8√12.
What is geometric mean?
Geometric mean of two numbers is the defined as product the numbers together and take the square root.
Let a = 24 and b =32
The geometric mean G = √a.b
Subsitute values of a and b in the formula
G = √24×32
G = √8×3×8×4
G = 8√12
thus, the geometric mean G is 8√12.
Learn more about Geometric mean
https://brainly.com/question/23483761
#SPJ2
Which graph represents the piecewise-defined function?
Answer:
Graph at the bottom right.
Step-by-step explanation:
From the given piecewise function,
1). y = -2 if x ≤ 1
An arrow representing this function will be parallel to x-axis with a dark circle at x = 1.
2). y = 1 if 1 < x ≤ 2
A straight line representing this function will be parallel to x-axis with a dark circle at x = 2 and a hollow circle at x = 1.
3). y = 3 if x > 2
An arrow representing the function will be parallel to the x-axis having one end as a hollow circle at x = 2.
Therefore, Graph at the bottom right will be the answer.
PLEASE HELP MEEEEEEEEEEEEEEEEE
Answer:
A- 5 banners
B- 2 banners
C- 2 banners
D- Shade banner 2
the domain of y=x^3 is
Answer:
This is a basic cubic function- thus the domain is all real numbers. You could think about domain as the possible x values for a graph. Since this cubic function extends from x=negative infinity to x=positive infinity, the range is all real numbers, or (-infinite, infinite) if you are told to write in interval notation.
Hope this helps!
The domain of [tex]y= x^{3}[/tex] are all real numbers, or R due to the fact that [tex]x^{3}[/tex] is a polynomial, which means its domain is R too.
Solution:
The domain of a particular expression is all real numbers except in the place where expression is undefined. The domain of any graph includes all the x-values that are solutions.
Interval Notation:
(-
Set-Builder Notation:
{x|x ∈R}
Determine the domain from the graph:
Thus, the domain of is:
(−∞,∞), {x|x∈R}
Learn more about the domain of polynomial:
https://brainly.com/question/12324899
very easy trig with pic
Answer:
1st Option
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Step 1: Find the missing leg
2² + b² = 6²
b² = 36 - 4
b = √32
Step 2: Find cosA
cosA = √32/6
cosA = 4√2/6
cosA = 2√2/3
Sheila either walks or cycles to school
The probability thats she walks to school is 0.65
If she walks the probability she is late is 0.4
If she cycles, the probability she is late is 0.1
Work out the probability that on any day Sheila will not be late to school
Answer: 0.705
Hello!
________________________
Sheila either walks or cycles to school the probability that she walks to school is 0.705
Step-by-step explanation:
Probability she walks and is not late = 0.65 * 0.60 = 0.39.
Probability she cycles and is not late = 0.35*0.9 = 0.315
Therefore P(not late) = 0.39 + 0.315 = 0.705
Hope this helped you!
Is ABC DEF? If so, name which similarity postulate or theorem applies. Pls explain. Thanks!! :)
Answer: B. Similar - AA
Step-by-step explanation:
The AA or Angle-Angle postulate states that if two corresponding angles are congruent, then the triangles are congruent.
Find 3 rational number between:( -1/7) and (1/8)
Answer:
-1/10 , 0, and 1/10
Step-by-step explanation:
1/8 > x > -1/7
Where x is a rational number.
-1/10 is rational.
0 is rational.
1/10 is rational.
Find the Measure of Angle C.
Answer:
42 degrees
Step-by-step explanation:
The triangle is a right triangle and the angles must equal 180
so 48 plus 90 equals 138 and 180 minus 138 equale
42
Answer:
66
Step-by-step explanation:
Choose the best estimate for the capacity of a bath tub. A. 5 ml B. 500 ml C. 50 cl D. 500 L
Answer:
D. 500 L
Step-by-step explanation:
Option D , 500 L can be used to estimate the capacity of bath Tub
What is Volume ?Volume is the space occupied by an object in three dimensional plane.
It is asked
Which among the given option is the best estimate for the capacity of a bath tub.
As the bath tub needs to contain large amount of water and so millilitre and centilitres will be very small unit.
Option D is 500 L and so can be used to estimate the capacity of bath tub
To know more about Volume
https://brainly.com/question/1578538
#SPJ2
The high school is hosting an event for seniors but will also allow some juniors to attend. The principal approved the event for 200 students and decided the number of juniors should be 25% of the number of seniors. How many juniors will be allowed to attend?
Answer:
First you do number of students being approved by the principal times the number of juniors allowed over 100.
This simply means that 200*25/100=50
Using percentage, the numbers of juniors will allowed to attend an event is 50.
What is percentage?
Percentage is "fraction or ratio, in which value of whole is 100".
According to the question,
The principal approved the event for 200 students. Number of juniors will be 25% of number of seniors.
Suppose 100% of student is 200 and then 25% of student will be
100% = 200
25% = x
100x = (200) (25) [cross multiplication]
x = 50.
Hence, the principal allowed number of student to attend an event is 50.
Learn more about Percentage here
https://brainly.com/question/13024759
#SPJ2
In the exam paper there are 12 questions. You will be rewarded 5 marks for each correct answer and will be deducted 2 marks if answered wrongly. Now Thurka scored 32 marks in the exam. So how many questions she did wrongly?
Answer:
Thurka got 8 questions right and 4 wrong.
Step-by-step explanation:
Thurka got "x" questions right and "y" questions wrong, therefore the sum of these questions must be equal to the total number of questions in that exam, which would be 12, therefore:
[tex]x + y = 12[/tex]
Since for each right question Thurka got 5 marks and for each wrong one 2 marks, then the total score can be written as:
[tex]5*x - 2*y = 32[/tex]
Solving the system of equations would give us the number of right and wrong questions.
[tex]\left \{ {{x + y=12} \atop {5*x-2*y=32}} \right.[/tex]
[tex]\left \{ {{2*x + 2*y=24} \atop {5*x - 2*y=32}} \right.[/tex]
[tex]7*x = 56\\x = \frac{56}{7} = 8[/tex]
[tex]y = 12 - x = 12 - 8 = 4[/tex]
Thurka got 8 questions right and 4 wrong.