Answer:
The equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
The equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Step-by-step explanation:
The given line is y=-5x+6
The slope of the given line, [tex]m_1=-5[/tex]
Let [tex]y= m_2 x + C_2[/tex] be the slope of the line perpendicular to y=-5x+6,
where [tex]C_2[/tex] is constant.
As multiplication of slopes of two perpendicular lines equal to -1, so
[tex]m_1m_2=-1 \\\\\Rightarrow -5\times m_2= -1 \\\\\Rightarrow m_2= \frac {-1}{-5}= \frac 1 5[/tex]
So, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x +C_2[/tex] which passes through the point (-2,-3), so
[tex]-3=\frac 1 5 (-2) +C_2 \\\\\Rightarrow C_2 = -3 +\frac 2 5= \frac {-13}{5}[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
Now, let [tex]y=m_3 x +C_3[/tex] be the equation of the parallel line to y=-5x+6.
As the slopes of two parallel lines are the same, so [tex]m_3=-5[/tex].
So, the equation of the parallel line becomes
[tex]y=-5 x +C_3[/tex] which passes through the point (-2,-3), so
[tex]-3=-5 (-2) +C_3 \\\\\Rightarrow C_2 = -3 - 10 = -13[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
If DF=61 and EF=18, find DE.
Do Recommendations Seventh grade > S Solve for d. 3 + 2d = 5
6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest
3x+18
Step-by-step explanation:
Answer:
3x+18
Step-by-step explanation:
Is the answer
answer
The graph of a line has slope 3/2 and passes through the point (-2, 4). Which point is on this line?
(0, 7)
(1, 6)
(2, 11)
(4, 1)
Answer:
(2, 11)
Step-by-step explanation:
Answer:
(1, 6)
Step-by-step explanation:
Solve the system of equations 6x + 3y = 9 and -5x – 5y = 0 by combining the
equations.
Answer:
(X, y) =(3,-3)
Step-by-step explanation:
Use second equation
Apply to the first
Michael puts $800 into a savings account. The account earns 2% simple interest. How much interest will he earn in 6 months?
Answer:
he earned 8 dollars in interest
Step-by-step explanation:
800(1+(.02)(.5))
hopefully im correct
Please help me with 7
Answer:
Third choice, 7/25
Step-by-step explanation:
14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this
14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25
3 4/5 - 2 1/3 and if needed simplify
Answer:
1 7/15 or 22/15
Step-by-step explanation:
The math teacher gives each student a map of the amusement park that uses a coordinate plane. The meeting location is at (0, 0) on the map. Each unit is 100 feet. The first ride that you want to try is located at the coordinates (0, 4). The next ride is located at (3, 0). If you walked in a straight line from the first ride to the second ride, how many feet would you travel?
Answer:
500 ft
Step-by-step explanation:
use this formula
The actual distance between first and second ride is 500 ft.
What is Distance Formula?The distance between two point P(a, b) and Q(c, d).
so, the distance PQ = √(c-a)² + (d- b)²
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
Using the distance formula
d = √( 3-0)² + (0-4)²
d = √9+ 16
d= √25
d = 5 units
So, the distance between first ride and second ride in the map is 5 units.
and,1 units = 100 ft
5 units = 500 ft
Hence, the actual distance between first and second ride is 500 ft.
Learn more about distance formula here:
https://brainly.com/question/28956738
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Perpendicular Lines
Instructions: Given the following image is a cube, name a segment that is
perpendicular to AH?
Answer:
HG
Step-by-step explanation:
Where they meet another line at a 90 degree angle.
The segment that is perpendicular to segment AH in the given cube is: HG.
What are Perpendicular Segments?When two segments form a right angle at the point of their interception, they are said to be perpendicular to each other.
In the image given, a right angle is formed where segments AH and HG meet. Therefore, a name of a segment that is perpendicular to AH is: segment HG.
Learn more about perpendicular segments on:
https://brainly.com/question/1865107
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Please answer ASAP!!!
At a grocery store to gallons of milk cost $7.20 and 5 gallons of milk cost $18 write an equation relates the total cost T to the gallons of milk purchased M
Answer:
$7.20 + (5 x $18) = T
Step-by-step explanation:
Can someone help me with this problem?
You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.
Answer:
C = 99 + 49m
x = $99
y = $49
Step-by-step explanation:
Let
x = one time joining fee
y = monthly payment
Your friend:
1 year = 12 months
x + 12y = $687
You:
x + 18y = $981
x + 12y = 687 (1)
x + 18y = 981 (2)
Subtract (1) from (2)
18y - 12y = 981 - 687
6y = 294
Divide both sides by 6
y = 294 /6
= 49
x = $49
Substitute y = 49 into
x + 12y = 687
x + 12(49) = 687
x + 588 = 687
x = 687 - 588
= 99
x = $99
C = 99 + 49m
Where,
C = total charges
m = number of months
99 = a one time joining fee
49 = charges per month
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 4 people and each large car can hold 6 people. How many people could be transported to the lake house if the students rented 5 small cars and 8 large cars? How many people could be transported to the lake house if the students rented ss small cars and ll large cars?
HELP ME!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The correct option is A
Step-by-step explanation:
Since (1, 3) are the solutions to the function g(x), then
g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3
We know that f(x) is on the same plane and f(1) = 1.
Let's take g(1) = (1 – 1)(1 – 3) = 0
Therefore, when x = 1; f = 1 and g = 0. Hence
g(1) = f(1) – 1
In order words, g(x) could be f(x) – 1.
The correct option is A
What is the surface area of the cylinder with height 4m and radius 2m? Round your answer to the nearest thousandth.
Answer:
50.265m^3
Step-by-step explanation:
because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal cost $78.90 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the cost of the meal?
Answer:
The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.
This would cost 85% * 78.65.
However, they also have to pay a 20% tip of the meal cost.
This would cost 20% * 78.65.
Step-by-step explanation:
total Cost = (85% * 78.65) + (20% * 78.65)
= 105% * 78.65
= 1.05 * 78.65
= $82.58
The equation y = 5x represents the amount of miles Fran runs in x days.
When a graph of this situation is drawn, what does the point (1, 5) on the graph represent?
A. The number of miles Fran runs each day.
B. The number of miles Fran runs on the first day.
C. The total number of miles Fran runs in five days.
D. The total number of miles Fran runs on the fifth day.
Answer:
b
Step-by-step explanation:
Helppppppppppppppppp
Answer:
if it's asking for the like point it would be (3,3)
Step-by-step explanation:
i apologize if that's not what it is asking for
graph the following equation using the slope intercept method
3x+5y=-15
Answer:
Step-by-step explanation:
Determine the type of triangle that is drawn below.
Answer:
it is an isosceles triangle
Step-by-step explanation:
the two sides of the triangle are equal in length, also the angles opposite to the equal sides are equal. so, it is called as isosceles traingle
:)()()()()()()()()()())(()()()()()()()()()helppp
Answer:
13
hope this helps you
what is a linear equation that contains these points?
Answer:
C
Step-by-step explanation:
If you plug in the numbers into that equation you get
1 = -2(2) + 5
1 = -4 + 5
1 = 1
You can also do this again with x = 5 y = -5
-5 = -2(5) + 5
-5 = -10 + 5
-5 = -5
Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?
Answer:
There are 42 red colour socks and 44 green color socks
Step-by-step explanation:
Let there are r red socks and g green socks.
ATQ,
He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.
4g-3r=50 ....(1)
Half the number of green socks plus one-third of the number of red socks is 36.
[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]
Multiply equation (1) by 2 and equation (2) by 3.
8g-6r = 100 ....(3)
9g +6r = 648 ....(4)
Add equation (3) and (4)
8g-6r + 9g +6r = 100+648
17g = 748
g = 44
Put the value of g in equation (1).
4(44)-3r=50
176-3r = 50
176-50 = 3r
r = 42
Hence, there are 42 red colour socks and 44 green color socks.
Find the slope of the line.
When are two distinct lines parallel?
Answer:
if the line keeps going and theynever touch
Step-by-step explanation:
Answer:
Two lines are parallel when are side by side and if the lines kept on going, they would never collide with each other
Step-by-step explanation:
Evaluate each expression
|30-5|-|-7|
Answer:
18
Step-by-step explanation:
|30 - 5| - |-7| = 18
Need help with this one
Please and thank you
Answer: -2 is a no. -9 is a yes. 2 is a no. -8 is a no.
Step-by-step explanation:
(15 points) plz ay help would be appreciated and brainly will be given to best answer/for e-f find the value of x,y.z in each figure
Answer:
For E, each angle is 60° because its an equilateral triangle.
F is 45° for x, 135° for y, lastly z is 22.5°