The table represents a linear equation.
Which equation correctly uses point (-2, -6) to write the
equation of this line in point-slope form?
х
-4
-2
6
10
y
-11
-6
14
24
O y-6 = {(x - 2)
Oy- 6 = {(x - 2)
O y +6 = }(x + 2)
Oy+6 = (x + 2)
Answers
Answer:
y + 6 = 5/2(x + 2)
Step-by-step explanation:
The equation of the line passing through given points in point-slope form is y + 6 = (5/2)(x + 2). The correct answer is an option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Using the given points (-2, -6) and (6, 14), we can calculate the slope as:
slope = (14 - (-6)) / (6 - (-2))
= 20 / 8
= 5/2
Now, we can use the point-slope form of a line:
y - y₁= m(x - x₁)
where m is the slope and (x₁, y₁) is the point on the line. We can choose either of the given points to be the point on the line. Let's choose (-2, -6).
So, the equation of the line in point-slope form is:
y - (-6) = (5/2)(x - (-2))
Simplifying this equation gives us:
y + 6 = (5/2)(x + 2)
Therefore, the equation of the line passing through given points in point-slope form is:
y + 6 = (5/2)(x + 2)
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Related Questions
3/11 x 3 1/4 Answer this question
Answers
Answer: 39/44
Step-by-step explanation:
3 1/4 = 13/4
13/4 times 3/100 = 13 times 3/4 times 11 which equals 39/44
The value of multiplication improper fraction 3/11 and mixed number 3 1/4 is 39/44.
To calculate the product of 3/11 and 3 1/4, we need to convert the mixed number 3 1/4 into an improper fraction.
To convert the mixed number 3 1/4 to an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (1). The result becomes the new numerator, and the denominator remains the same.
3 1/4
= (3 x 4 + 1) / 4
= 13/4
Now we can multiply 3/11 by 13/4:
(3/11) x (13/4)
= (3 x 13) / (11 x 4)
= 39/44
Therefore, the product of 3/11 and 3 1/4 is 39/44.
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For this graph, Mark the statements that are true.
Answers
Graph the solution of the inequality.
-4 < 2t < 2
PLZ HELP NOW
Answers
Answer:
B
Step-by-step explanation:
-4<= 2t <2
-4/2<= t <2/2
-2<= t <1
(Its touches -2 but doesnt touch 1)
Answer:
Firstly you have to divide by 2 to get 't' so -4/2=-2
2/2=1
so the simplified inequality= -2<t<1
< and > are both illustrated as hollow circles so on a number line put a hollow circle on -2 and 1 and attach with a line
Express the quotient in simplest form.
Answers
Answer:
(x-2)
----------------
x^3
Step-by-step explanation:
(x^2 -4) x^3 -x^2 -6x
------------ ÷ ---------------------
x^3 + 7x^2 x^2 +4x -21
Copy dot flip
(x^2 -4) x^2 +4x -21
------------ * ---------------------
x^3 + 7x^2 x^3 -x^2 -6x
Factor
(x-2)(x+2) (x+7)(x-3)
------------ * ---------------------
x^2(x+7) x(x-3)(x+2)
Cancel like terms
(x-2) 1
------------ * ---------------------
x^2 x
(x-2)
----------------
x^3
Solve the equation using the Quadratic Formula: *
x2 – 3x + 3 = 5x + 1
Answers
Answer:
please mark brainly
Step-by-step explanation:
Answer:
Exact form : x = 4 ± √14
Decimal form : x 7.74165738..., 0.25834261...
Step-by-step explanation:
I hope this helps you out. ☺
50 points!!!!! Please!!!!! Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)
1 50
2 45
3 40
4 35
The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:
Function 2
y = −6x + 50
Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.
Answers
Answer:
A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Step-by-step explanation:
The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.
6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.
Hope this helps! Have a great day! :)
Answer:
The answer is A
Step-by-step explanation:
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap.
Answers
Answer:
1. D
2. A
Step-by-step explanation:
Brainliest please?
I need help on these two questions please.
Answers
Answer:
They are similar
Step-by-step explanation:
A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left with him?
Answers
Answer:
[tex]\frac{7}{40}[/tex]
Step-by-step explanation:
[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]
[tex]1-\frac{33}{40}[/tex]
[tex]\frac{7}{40}=0.175[/tex]
Answer:
7/40 is still left with him.
Step-by-step explanation:
LCM 5,10,8 = 40
2/5 = (x8) = 16/40 = food
3/10 = (x4) = 12/40 = rent
1/8 = (x5) = 5/40 = other expenses.
16/40 +12/40 + 5/40 = 33/40
40/40 - 33/40 = 7/40
Please help me with the question below
Answers
Answer: B) y=4n+8
Step-by-step explanation:
in these type of questions, I use the strategy of trial and error, lets look at the first choice, y=4n+12, if we look at the first term, and substitute the numbers on the equation, we would get y=4(1)+12, which is y=16 which tells us that there are 16 shaded squares in the first term which is not true, then we move on to the next answer. Using this strategy, there is only one answer that makes sense which is B) y=4n+8, Just to make sure if we look at the first term, and use the formula, we get y=4(1)+8, which gives us y=12 which is true.
Hope it helped
The bridge over the river has a weight limit of 12.65 tons to cross it. The truck weighs 10.89 tons. How many tons is the truck under the weight limit
Answers
Answer:
1.76 tons
Step-by-step explanation:
12.65 minus 10.89 is equal to 1.76. If you have a calculator, you can use that to solve addition, subtraction, multiplication, and division problems.
Which equation matches these solutions? x = 5, -7
Group of answer choices
(x + 5)(x + 7)=0
(x + 5)(x - 7)=0
(x - 5)(x + 7)=0
(x - 5)(x - 7)=0
Answers
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7
The answer is the first one
Monyne Phillips three coins. What is the probability that the first second and third Cornwall in the same way (either all heads or or tails) SHOW YOUR WORK
Answers
Answer:
1 in 8 chance.
Step-by-step explanation:
When a coin flips is has two outcomes: heads or tails, obviously.
Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes
1 coin: 2 outcomes
2 coins: 4 outcomes
3 coins: 8 outcomes
Another thing:
Don't be fooled by questions being specific by saying "all heads" or "all tails"...
This is a wording trick, no matter the outcome, the chances will always be equal.
Good luck :)
The number 100 is decreased to 36. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answers
Answer:
50%
Step-by-step explanation:
PLZ HELP ASAP!!! Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $15.00 of the total money is Peter's, how much do all five brothers have combined?
A: $3.75
B: $75
C: $60
D: 45
Answers
Answer:
c
Step-by-step explanation:
25% = 15$ so 15+15+15+15=60
Please help me !!!!!!!!!!!!!!!!
Answers
2) A reference book of maps is called an atlas.
Which statement describes a characteristic of deposition?
Several factors affect how sediment settles.
Sediment is removed from a new surface location.
Moving water affects where sediment travels.
Rocks are broken into smaller particles.
Plz help
Answers
The correct statements are:
A) Several factors affect how sediment settles.
C) Moving water affects where sediment travels.
E) Sediments are carried by a transport medium.
QUESTION:I think the question is incomplete. The whole question has 1 more option and is states that check all statements that apply. The whole question was:
Which statements describe characteristics of deposition? Check all that apply.
A) Several factors affect how sediment settles.
B) Sediment is added to a new surface location.
C) Moving water affects where sediment travels.
D) Rocks are broken into smaller particles.
E) Sediments are carried by a transport medium.
If this was not your question, then you can still relate to this, as the answer would be same.
EXPLANATION:Sediments are a mixture of different elements that are usually carried by water, air or even ice. This mixture may contain organic and inorganic particles. Several factors effect the flow and settlement of sediments, but as discussed above, they always need an transport medium to travel, and moving water serves as one.
Moving water affects where sediment travels.
Deposition is the process of accumulation of loose mineral material and organic residues on the land surface and at the bottom of water bodies.
It occurs at the foot of the slopes, in valleys and in other negative landforms of various sizes: from sinkholes to large troughs and depressions of tectonic origin, where the accumulating deposits form thick strata that gradually turn into sedimentary rocks.
At the bottom of oceans, seas, lakes and other bodies of water, deposition is the most important exogenous process.
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Using the ruler postulate, find the distance between –9 and 2.
Answers
Answer:
11 units
Step-by-step explanation:
According to ruler postulate, if there are two points A with coordinate a
and point B with coordinate b, \
then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.
mathematically it can be represented as
AB = |a-b| or |b-a|
_________________________________________
in the given problem points are -9 and 2
thus distance
distance between –9 and 2 = |-9 -2| = |-11| = 11
absolute value of -11 is 11
alternatively, distance can be calculated as
distance between –9 and 2 = |2 -(-9) | = |2 + 9 | = |-11| = 11
Find the surface area.
Answers
Answer:
A≈896.81
Step-by-step explanation:
This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.
P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!
What is the correlation coefficient for the data shown in the
table?
0
1
оооо
4
5
Answers
Answer:
1
Step-by-step explanation:
Where to Dig: The dinosaur's
tail bones are at the solution
point to the system of
equations below.
- 2x - 7y = -250
y = 140
Every time you click a point
using the CPS, the equations
below will update. Remember,
the solution is the point that
makes both equations true.
-2( x ) - 7(y) =250 X
4( x) - (y) =140 X
Answers
Answer:
x = 41
y = 24
Step-by-step explanation:
Systems of equations is,
-2x - 7y = -250 ------(1)
4x - y = 140 ------(2)
Equation (1) multiplied by 2 then added to equation (2)
-4x -14y = -500
(+) 4x - y = 140
-15y = -360
y = [tex]\frac{360}{15}[/tex]
y = 24
by putting y = 24 in equation (2),
4x - 24 = 140
4x = 140 + 24
x = [tex]\frac{164}{4}[/tex]
x = 41
For x = 41 and y = 24 both the equations are true.
Equation (1), -2(41) - 7(24) = -250 [True]
Equation (2), 4(41) - (24) = 140 [True]
Answer:it’s 41 and 24
Step-by-step explanation:
What is 14% of 8.5? Round to the nearest hundredth (if necessary).
Answers
Answer:
1.19
Step-by-step explanation:
Hope this helps :) I try to just get straight to the point so sorry for no work
Reduce -6+b^6 by 2+b^4
A. -8+b^10
B. -4+b^10
C. -4+b^2
D. -8+b^6-b^4
Answers
Answer:
D
Step-by-step explanation:
-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴ {Now add the like terms}
= -6 - 2 + b⁶ - b⁴
= -8 + b⁶ - b⁴
Hope it helps
I need help with this
Answers
X2,Y1=(2,-3)
QI - The sum of the distance of a moving
point from the points (c,0) and (-c,0) is
always 2a units. Find the equation to the locus
of the moving point.
Answers
Answer:
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
Step-by-step explanation:
Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:
PA + PB = 2a
PA = 2a - PB
PA² = 4a² + PB² – 4a ∙ PB
PA² – PB² = 4a² – 4a ∙ PB
[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB
-4hc = 4a² – 4a∙PB
a ∙ PB = a² + hc
Taking square
a² ∙ PB² = (a² + hc)²
a² [(h + c)² + (k - 0)²] = (a² + hc)²
a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²
a²h² – h²c² + a²k² = a⁴ – a²c²
(a² – c²)h² + a²k² = a² (a² – c²)
h²/a² + k²/(a² – c²) = 1
Therefore, the required equation to the locus of P is
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
Use Pythagorean’s Theorem
Answers
Answer:
x =3.9
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 =c^2
x^2 + (5x)^2 = 20 ^2
x^2 + 25x^2 = 400
Combine like terms
26 x^2 = 400
Divide each side by 26
x^2 = 400/26
Take the square root of each side
sqrt(x^2) = sqrt(400/26)
x = sqrt(400/26)
x =3.922322703
Rounding to the nearest tenth
x =3.9
Answer:
3.9
Step-by-step explanation:
:)
Can I get some help ASAP
Answers
Answer:
The top of the ladder touches the tree 14 ft above the ground.
Step-by-step explanation:
The Pythagorean Theorem incorporates the ladder length (17.5 ft), the distance of the base of the ladder from the base of the tree (10.5 ft), and the point where the ladder touches the tree (x ft):
x^2 + 10.5^2 = 17.5^2, or
x^2 + 110.25 = 306.25. Then x^2 = 196, and x = +14 (Answer C)
The top of the ladder touches the tree 14 ft above the ground.
Can you guys help and put these in order?
Answers
The opposite of the original statement. These statements are also called the inverse of a conditional statement.
Answers
Answer:
Negation is the correct answer to the given question
Step-by-step explanation:
The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .
For example :
F: Number is 5.
~F: Number is not 5.
Conditional statement Negation(~)
True False
False True
All the other option are not determine the inverse of the conditional statement so these are incorrect option .
hhheellllpppppppppppppppp
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Just multiply the 1 times 4
