Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
The equation which is parallel to the line JK is
a) Parallel is 5x + 3y = 13
b) Perpendicular is 6x - 10y = 7
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
Let the first point be J ( -5 , 5 )
Let the second point be K ( 1 , -5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )
m = 10 / -6
m = -5/3
The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope
So , the equation of line parallel to JK is 5x + 3y = 13
And , the equation of line perpendicular to line JK is 6x - 10y = 7
Hence , the equation of line is solved
To learn more about equation of line click :
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Find the slope of the following graph and Identify the type of
Slope:
Answer:
undefined
Step-by-step explanation:
Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."
What is the answer I got it wrong
Answer:
-1/2
Step-by-step explanation:
It’s y2 - y1 over x2-x1
- 2 - 3
— - -—-
6 - (-4)
= -5/10
= -1/2
Answer: 1/2
Step-by-step explanation:
Write the word sentence as an equation. Then solve. The sum of a number y and −3 is −8.
need asap
Answer:
y + (-3) = -8
Step-by-step explanation:
i just know
pls mark branliest
There are 5 less oranges on the tree today than there was yesterday
Plz help
The no. of apples on the tree today
= The no. of apples on the tree yesterday - 5
Let us take 'the no. of apples on the tree today' as 'x'
and 'the no. of apples on the tree today' as 'y'
Therefore, x = y - 5
Hope this is the thing u are looking for
Brainliest for correct answer! There are several ways to collect data. Which of the following is crucial for statisticians to call a method an experiment?
A. Eliminating bias
B. Randomness
C. Researcher assigns subjects to groups
D. Placebos
Answer:
I think the answer would be A
Answer:
A
Step-by-step explanation:
20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an accident, police can use the formula v=25L to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
The correct format of the question is
After an accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
Answer:
48.6mi/h, Yes the car was speeding.
Step-by-step explanation:
The speed of the car is given by [tex]v=2\sqrt{5L }[/tex]
Skid length (L) = 118ft
V= [tex]2\sqrt{5*118}[/tex]
= 2 [tex]\sqrt{590}[/tex]
= 2*24.3
V = 48.6mi/h
Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.
PLS HELP!!!
PLS FIND 13 and 15!!
Answer:
go near the bottom tight of the screen the you will see 13 sorry i cant help more then that
Step-by-step explanation:
Will GIVE BRAINILEST TO WHO ANSWERS
Subtract 9x^2+7x-29x 2 +7x−2 from 8x-108x−10.
Answer:
20x^2 - 107x - 10.
Step-by-step explanation:
8x - 108x - 10 - (9x^2 + 7x -29x^2)
simplifying:
-100x - 10 - (7x - 20x^2)
20x^2-100x - 7x - 10
20x^2 - 107x - 10
Answer:
−9x
2
+x−8
Step-by-step explanation:
what does 28-8 represent?
Step-by-step explanation:
subtraction if that wut u askim
according to exponent rules, when we multiply like bases, we ______ the exponents
PLS HELP ME?? The blue dot is what value on the number line?
Answer:
-3
Step-by-step explanation:
since it is a gap of 6 the first one gave ...so 3-6=-3
A rectangular lawn 4m by 10m has a garden of uniform width added to one end. Then, along the combined side length of the lawn and garden , another garden is added, whose width is twice that of garden . The total area of the lawn and both gardens is 72 m2
Answer and explanation:
A rectangle's width is longer than the length
And so given a rectangular lawn 4m by 10m,
the width of the lawn= 10m
the length of the lawn= 4m
If a garden of uniform width is added, then garden's width = 10m
The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)
The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m
Given that total area of the lawn and two gardens = 72m²
Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width
= 4*10+ 10*x+ 20*y=72
Therefore equation for total area of lawn and both gardens is 40+10x+20y=72
Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden
x can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
10x=32-20y
x=32-20y/10
Y can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
20y=32-10x
y=32-10x/20
y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.
Answer:
9
Step-by-step explanation:
formula for inverse proportion is y = [tex]\frac{k}{x}[/tex]
k is the constant of probability
to find k,
y is 12, x is 6
12 = [tex]\frac{k}{6}[/tex]
so x = 12 × 6
∴ k is 72
so y = [tex]\frac{72}{8}[/tex]
∴ y is 9
A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?
Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j
[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East
Answer: A. 5.89
Step-by-step explanation:
edge2020
NEED ASAP . Plz help
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.
Answer:
The perimeter of the new TV is approximately 95.32 inches
Step-by-step explanation:
The diagonal dimension of the original TV = 32 inches
The perimeter of the original TV = 87.16 inches
The diagonal dimension of the new TV = 70 inches
The perimeter of the new TV = 87.16 inches
For the original TV, we have;
Let w be the width of the original TV and l be the length of the original TV, we have;
2·w + 2·l = 87.16
√(w² + l²) = 32
Therefore, we have;
32² = w² + l²
w = (87.16 - 2·l)/2
w = 43.58 - l
32² = l² + (43.58 - l)²
l² + (43.58 - l)² - 32² = 0
l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0
2·l² - 87.16·l + 875.2164 = 0
By the quadratic formula, we have;
l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)
Therefore, l = 27.89 inches or l = 15.69
Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69
or w = (87.16 - 2× 15.69)/2 = 27.89
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
15.69/27.89
w₂/l₂ for the new TV = 15.69/27.89
∴ w₂ = l₂ × 15.69/27.89
w₂² + l₂² = 70²
∴ (l₂ × 15.69/27.89)² + l₂² = 70²
l₂² × (15.69/27.89)² + l₂² = 70²
l₂²((15.69/27.89)² + 1) = 70²
l₂² = 70²/((15.69/27.89)² + 1) = 3722.04
l₂ = √(3722.04) ≈ 61.0
w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32
Therefore;
The perimeter of the new TV = 34.32 + 61 = 95.32 inches.
In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:
The perimeter of the new TV is approximately 95.32 inches
So the data for this exercise is from:
The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches
Let w be the width of the original TV and l be the length of the original TV, we have;
[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]
Therefore, we have:
[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]
By the quadratic formula, we have;
[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]
Therefore:
[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]
[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]
The perimeter of the new TV :
[tex]P = 34.32 + 61 = 95.32[/tex]
See more about perimeter at brainly.com/question/6465134
In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?
Answer:108 degrees
Step-by-step explanation:
Answer:
Scalene triangle
Step-by-step explanation:
24+48= 72
180-72=108
All three angles are different meaning that the triangle must be a scalene triangle.
I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas?
Answer: Water: The battle between the clean vs the dirty :P
Step-by-step explanation:
A.
B.
C.
D.
Help me please!!
It's B!!! ik cuz i ggogled it lol
Answer:
I think the answer is B. $92
Step-by-step explanation:
$80 time (115 on calculator will give you 9200
A company that teaches self-improvement seminars is holding one of its seminars in Belmont. The company pays a flat fee of $250 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $4 to purchase books and supplies. Each attendee will pay $14 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take?
Answer:
Step-by-step explanation:
250 for place 4 for books each.
If they charge 14 per person, 4 of that goes for the books and 10 will be applied to the rental fee.
250/10= 25 people to break even. Any people beyond that is a profit of 10.00 since the other 4 will still go to the books.
6 divided by 2/3 = tell me thee answer in fraction form
Answer:
There wouldn't be a fraction form because its a whole number which is 9
Evaluate 1/6t+1/12 when t=1/2
Answer:
1/6
Step-by-step explanation:
You're welcome :)
The following graph represents the cost and revenue functions for custom-made computers. How many computers
have been sold at the break-even point?
a 12
b 9
C 5
d. 0
Answer:
A. 12
Step-by-step explanation:
What is the point-slope form of an equation for a line that passes through the point (5, –5) with the slope of 2?
Answer:
y + 5 = 2(x - 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 2 and (a, b) = (5, - 5) , thus
y - (- 5) = 2(x - 5) , that is
y + 5 = 2(x - 5)
Describe the products made by the process of cellular respiration.
Step-by-step explanation:
The product is carbon dioxide and water
Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!
Answer:
4t + 8
Step-by-step explanation:
t + 3t = 4t
4t + 8
Answer:
4t+8
Step-by-step explanation:
If you look at your equation t+8+3t you will notice how you have two t parts
part 1: t
part 2: 3t
Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.
Then you just put your 8 back on to the equation! 4t+8
Evaluate -9x-2 when x =-4
Answer:
34
Step-by-step explanation:
So -9x is 36,36-2=34
Answer:
34
Step-by-step explanation:
-9(-4)-2
36-2
34
If p = 2 and q = 8, the value of p3 + V64 q ls____
Answer:
518
Step-by-step explanation:
P = 2
Q = 8
p3 + 64q
Multiply "p" (which is 2) with 3
Multiply "q" (which is 8) with 8
Add the two numbers you get
And you have you answer
I hope this helps. :)
HELP ME PLEASEEEEEEEEEEEEEEEEE YOU CAN GET BRAINEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
its red okay? i hop help
Answer:3:1. Yellow
Step-by-step explanation: