Answer:
y=mx+b
-5= -3(-6)+b
-5=18+b
-23=b
3x-5y=-23
The equation of the line with slope m = -6 that passes through the point (-3, -5) in the form Ax + By = C is 6x + y = -23.
We have,
To find the equation of a line given its slope and a point on the line, we can use the point-slope form of the equation, which is:
y - y1 = m(x - x1)
Where (x1, y1) represents the coordinates of the given point and m is the slope.
Given the slope m = -6 and the point (-3, -5), we can substitute these values into the point-slope form:
y - (-5) = -6(x - (-3))
Simplifying:
y + 5 = -6(x + 3)
Expanding the equation:
y + 5 = -6x - 18
To write the equation in the form Ax + By = C, we need to rearrange it:
6x + y = -18 - 5
6x + y = -23
The coefficients of x and y are 6 and 1 respectively, so the equation can be written as:
6x + y = -23
Therefore,
The equation of the line with slope m = -6 that passes through the point (-3, -5) in the form Ax + By = C is 6x + y = -23.
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what is 6/a-6 = 3/a-3 ?
help me please
Answer:
a=1
Step-by-step explanation:
Multiply all terms by a and cancel:
6+−6a=3+−3a
−6a+6=−3a+3(Simplify both sides of the equation)
−6a+6+3a=−3a+3+3a(Add 3a to both sides)
−3a+6=3
−3a+6−6=3−6(Subtract 6 from both sides)
−3a=−3
−3a
−3
=
−3
−3
(Divide both sides by -3)
a=1
Answer:
a=0
Step-by-step explanation:
I hope this helped you out! Have a great day!!!!! You're beautiful/handsome!! <3
The students in Eddie's grade voted to select a guest speaker, 20% of the students voted
for a famous athlete. If there are 75 students in Eddie's grade, how many students voted for
the athlete?
Answer:15
Step-by-step explanation:
0.2*75=15 students
In the equation 15y - 3 = 25 what vocabulary word can be best used to describe 15y - 3in the context?
Answer:
3 less than the product of a number and 15
Step-by-step explanation:
Given the expression
15y - 3 = 25
The unknown variable is y. Rewriting 15y - 3 as a statement
15y means the product of a number and 15
15y - 3 means 3 less than the product of a number and 15
Hence vocabulary word that can be best used to describe 15y - 3 is 3 less than the product of a number and 15
3. Charlie needs to hire a plumber to fix his kitchen sink. ABC Plumbing charges a flat
fee of $50 plus 535 per hour, Pipes R Us charges a flat fee of $75 and $25 per hour.
How many hours will the two companies charge for the total cost to be equal?
Answer:
2 hoursStep-by-step explanation:
step one:
given
ABC Plumbing charges
flat fee=$50
charge per hour= $35------------------i want to assume you meant $35 and not $535
Pipes R Us charges
flat fee=$75
charge per hour= $25
Let the number of hours be x
the equation for the charges is given bellow
y=35x+50----------1
y=25x+75-----------2
equating 1 and 2
35x+50=25x+75
35x-25x=75-50
10x=20
divide both sides by 10
x=20/10
x=2 hours
2 hours
evaluate x^2+9/v^2 for each of the given values. what is the value of the expression when x=-3
Answer:
2
10
Undefined
Step-by-step explanation:
Answer:
2
10
undefined
Step-by-step explanation:
did it and got it right
The town of Paxton has a population of 4.81 × 104 residents. The town of Oakville has twice the number of residents than Paxton. Which values represent the number of residents for the town of Oakville? Select all the values that apply
.A.9.62 × 10^8
B.4.81 × 10^6
C.9.62 × 10 ^4
D.4.81 × 10^8
E.4,810,000
F.96,200
plz help
Answer: A,F
Step-by-step explanation:
What is the probability of spinning a white on the spinner
Answer:
where is the spinner?
Step-by-step explanation:
The circumference C of a circle with radius r can be calculated using the formula C=2pir. Which formula represents r in terms of C
Answer:
Step-by-step explanation:
If C=2πr
r=C/2π (change of sbject)
solve 2x-y > 1 for y
the side length of a square can be expressed as 2x+3. If the area of the square is 121 square meters, what is the value of x?
Answer:
x=4
Step-by-step explanation:
(2x+3)^2=121
2x+3=square root of 121
2x+3=11
2x=11-3
2x=8
x=4
(in a square all sides are equal therefore area =length ×width where length and width=2x+3)
Solve. 3/4 * 3/5 PLease help!!!
Select all of the ratios that are equivalent to 6:3 *
2:1
12:6
3:6
30:15
6:6
12:9
Answer:
2 : 1
12 : 6
30 : 15
Step-by-step explanation:
Look at the ratios one by one. Starting with 6 : 3, we can see that it's of the form 2a : a.
2 : 1
12 : 6
30 : 15
These are all equivalent.
50 lbs of tomatoes cost $275. How many lbs of tomatoes can you get
with $225.50 ?
9.
A tree casts a shadow 36 feet long at
the same time a boy 5 feet tall casts a
shadow 4 feet long. Find, in feet, the
height of the tree.
There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club. How many students are in the drama club? The yearbook club?
Answer: There are 37 students in the drama club and 27 students in the drama club.
Step-by-step explanation:
Let x= number of students in the drama club.
y= number of students in the yearbook club.
As per given, we have
x+y=64
x=10+y
A system of linear equations that represents this situation:
x+y=64 (i)
x=10+y (ii)
Put value of x from (ii) in (i)
10+y+y=64
⇒ 2y= 54
⇒ y = 27 [Divide both sides by 2]
Put value of y in (ii) , we get
x= 10+27 = 37
Hence, there are 37 students in the drama club and 27 students in the drama club.
There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club. How many students are in the drama club? The yearbook club?
74
Which of these changes in a pond environment is observable
1. the algae content increases in the summer.
2. the water level is lower
when there is little rain.
3. the water temperature at the surface increases when the sun is out.
4. all of these are observable.
ignore what subject i put this in pls i’m just rushing rn
Answer:
all of these are observable.
Step-by-step explanation:
you can look into how algae increase in the summer. You can visually see the water level is lower and you can feel the temperature of the water
4. Transversal E F intersects AB and CD, as shown in
the diagram below.
E
1/2
4/3
A
B
5/6
8/7
D
F
Which statement could always be used to prove
AB || CD?
1
2224
2) 27 228
3) Z3 and Z6 are supplementary
4) Z1 and 25 are supplementary
Answer: D, m<5=55.1 and m<7=124.9
Step-by-step explanation: 5 is the opposite of 4 in this diagram becuase of the bisector so that would make it the same 55.1, while 7 is an obtuse angle so it's clearly more than 90°, leaving 124.9 the most logical explanation.
Statement, ∠3 and ∠6 are supplementary will always be used if lines AB and CD are parallel.
What is a traversal line?When a line passes through two lines on the same plane, is called traversal line.
Given that,
Two lines are AB and CD,
Also, a transversal line EF intersect line AB and CD.
According to traversal line property,
If two lines are parallel and a traversal line intersect two lines, then each pair of interior angles on the same side of the transversal is supplementary.
In the given figure, Angle 3 and 6 are interior angles
Implies that,
Angle 3 and angle 6 will be supplementary if line AB and CD are parallel.
Hence, statement ∠3 and ∠6 are supplementary shows that lines AB and CD are parallel.
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If you have an integer on a number line, that we’ll refer to as ‘x’, what would you call the next consecutive number on the number line?
Answer:
that is x+ 1
Step-by-step explanation:
that's it easy peasy
Which of Earth’s spheres encompasses all of
Earth’s water?
a. the hydrosphere
b. the atmosphere
c. the asthenosphere
d. the geosphere
Answer:
The answer is A.
Step-by-step explanation:
All of earths bodies of water including groundwater. the hydrosphere also includes the cryosphere, which is made up of the worlds ice sheets and sea ice.
Answer:
a. the hydrosphere
Step-by-step explanation:
hydro means water
Solve for x:
4(x + 4) = 6(x - 2)
O A. x = 9
B. x = 14
O C. x = 8
D. x = 1
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
4(x + 4) = 6(x - 2)
Step 2: Solve for x
Distribute: 4x + 16 = 6x - 12Subtract 4x on both sides: 16 = 2x - 12Add 12 on both sides: 28 = 2xDivide 2 on both sides: 14 = xRewrite: x = 14Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(14 + 4) = 6(14 - 2)Add/Subtract: 4(18) = 6(12)Multiply: 72 = 72And we have our final answer!
Answer: 14 = x
Step-by-step explanation: Start by distributing through the parenthses
on each side of the equation to get 4x + 16 = 6x - 12.
Now move your x's to the right and numbers
to the left and you get 28 = 2x.
Divide both sides by 2 and 14 = x.
PLSS HELLLPPP!!!!!!!!!!!!!!!!!!!!
Answer:
I'M HONESTLY NOT SURE. SORRY
Step-by-step explanation:
i need help right now!!!!
Choose Yes or No to tell whether each statement is correct.
Coordinate plane showing triangle A B C with coordinates A 4, 1; B negative 1, 4; and C negative 1, 1.
BC is 2 units long.
Choose...
CA is 5 units long.
Choose...
BC is shorter than BA.
Choose...
AC is 2 units longer than BC.
Choose...
Answer:
no, yes, yes, no
Step-by-step explanation:
BC is 3 units long, CA is 5 units long, BC is shorter than BA by a little over 3 units (use pythagorean theorem), and AC is longer than BC by 3 units not 2.
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what's the question though
The nth term of an AP is 12-4n. Find the first term and the common difference.
Answer:
the first term is 8 and common difference d is -4.
Step-by-step explanation:
We are given nth term of an arithmetic sequence is: aₙ=12-4n
We need to find first term and common difference of given arithmetic sequence
First term can be found by putting n=1:
[tex]a_n=12-4n\\a_1=12-4(1)\\a_1=12-4\\a_1=8[/tex]
So, first term is a₁= 8
Now to find common difference we need to find second term
Second term can be found by putting n=2
[tex]a_n=12-4n\\a_2=12-4(2)\\a_2=12-8\\a_2=4[/tex]
So, second term is: 4
The common difference is found by subtracting second term with first term: a₂-a₁= 4-8 = -4
So, first term is 8 and common difference d is -4
Brian orders a center pivot irrigation system to water his field system is made up of a line connected pipes that turn around a center point Brian system will be 1000 150 feet long what is the longest distance across the space the system still water show your work
Answer:
2,300
Step-by-step explanation:
since it turns it would be double and both radius would be 1,150ft you have to add them together and then you get 2,300ft.
The longest distance across the space the system still water is the diameter of the circle, that is 2300 feet and this can be determined by using the given data.
Given :
Brian orders a center pivot irrigation system to water his field system is made up of a line connected pipes that turn around a center point.Brian's system will be 1150 feet long.The following steps can be used in order to determine the longest distance across the space the system still water:
Step 1 - According to the given data, the Brian system will be 1150 feet long.
Step 2 - So, from the given data it can be concluded that the irrigation system moves about a point and form a circle whose radius is 1150 feet.
Step 3 - So, the longest distance across the space the system still water is the diameter of the circle, that is:
D = 1150 [tex]\times[/tex] 2
D = 2300 feet
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Julio solved the equation as show below. He made a mistake and incorrectly concluded that the equation has no solution. What was Julio's mistake? What is the correct answer to the equation?
9514 1404 393
Answer:
incorrect use of the distributive property in line 2
infinite solutions
Step-by-step explanation:
The second line of Julio's work should read ...
-x +5x +30 = 4x +30
Julio incorrectly distributed the 5 over the contents of parentheses.
__
Then the equation simplifies to ...
4x +30 = 4x +30
0 = 0 . . . . true for all x, infinite solutions
The plot shown below describes the relationship between the age of drivers and the number of car accidents per
100 drivers in the year 2009.
Which of the following is the best estimate of the average change in the number of accidents associated with a
1 year increase in age?
Answer:
-3/2
Step-by-step explanation:
3/4+2/3−1/8 as a mixed number in its simplest form.
Answer:
Exact Form:
31/24
Decimal Form:
1.291¯6
Mixed Number Form:
1 7/24
Step-by-step explanation:
Answer:
1 1/3
Step-by-step explanation:
3/4+2÷3-1/8
3/6÷2/8
1/3÷1/4
1/3×4/1
=4/3
we an improper fraction,
1 1/3
help what's the answer? 7+1=?
Answer:
8
Step-by-step explanation:
At an average rate of 12 miles per hour, how far could a person ride a bike in three hours?
Answer:
36
Step-by-step explanation:
it would be 36 because 12 multiplied by 3 equals 36.
12 going being the rate and the 3 being what you would mulitply! hope this helps!
Answer:
36 miles
Step-by-step explanation: 12 miles per hour and he rode 3 hours. multiply 12 times 3 hours