I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)
Answers
Answer:
(b) x +2y = 8
Step-by-step explanation:
There are at least a couple of ways to come to the conclusion.
1) use the given information to write the equation of the desired line
2) check to see which of the answer choices satisfies the requirement
__
1)The given line has two specified points on it. These can be used to find its slope. (Or, you can count grid square to see it has a rise of -1 for a run of +2.)
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -0)/(4 -(-4)) = -4/8 = -1/2
Comparing this to our grid square count, we see they are the same:
m = rise/run = -1/2
Now, we have a slope (-1/2) and a point (2, 3), so we can use these to write the point-slope equation of the desired line:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y -3 = -1/2(x -2) . . . . . point-slope equation of the desired line
y -3 = -1/2x +1 . . . . . . eliminate parentheses
1/2x +y = 4 . . . . . . . . add 1/2x +3 to both sides
x +2y = 8 . . . . . . . . . multiply by 2
__
2)Perhaps easier in this case is to try the given equations to see which is satisfied at the given point. There are two different left-side expressions to evaluate at the point (x, y) = (2, 3):
x +2y = (2 +2(3)) = 2+6 = 8
2x +y = 2(2) +3 = 4 +3 = 7
Only the equation ...
x +2y = 8
is satisfied at the given point.
_____
Additional comments
While I encourage you to learn to solve questions like this "from scratch", modern math curriculum is often "multiple choice."
When faced with multiple choices for answers, it is often easiest to ...
(a) eliminate the ones that are not self-consistent or that are false on their face;
(b) eliminate the ones that have an obviously fatal flaw (wrong sign of slope, too large or too small, for example);
(c) choose from the remaining ones the one that properly answers the question (satisfies all requirements).
__
When you solve a standard-form equation for y, you get ...
ax +by = c
by = -ax +c
y = -a/bx +c/b
That is, the slope of the line is -a/b.
For the two left-side expressions in the answer choices, the slopes are ...
x +2y ⇒ slope = -1/2
2x +y ⇒ slope = -2/1 = -2
The scales on the graph are the same in the x- and y-directions, so the shallow negative slope of the given line is clearly less than 1. That eliminates the last two answer choices already.
Related Questions
A dog's leash is tied to a pole while the owners go into a restaurant to get the dog
some water. If the leash is 7 feet long and the dog can walk 180 degrees in a semi-
circle, how many feet can he walk if he extends the leash as far as it can go? Round
your answer to the nearest foot, and enter the number only.
Answers
Answer:
22 feet.
Step-by-step explanation:
Arc Length= Ø / 360 degrees * 2pir
(2pir = 2 * pi * radius)
Given: r = 7 feet
Ø = 180 so the fraction of the circle we seek is 180/360 = 1/2
Arc length: 1/2*2pi*7 = 21.99 ft
22 ft when rounded!
The length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
What is the length of the arc of the circle?The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.
Given that a dog's leash is tied to a pole while the owners go into a restaurant to get the dog some water. The leash is 7 feet long and the dog can walk 180 degrees in a semi-circle.
The length of the arc will be calculated as below:-
Arc Length= Ø / 360 degrees * 2pir
(2πr = 2x π x radius)
r = 7 feet and Ø = 180 the fraction of the circle we seek is 180/360 = 1/2
Arc length = 1/2 x 2 π x 7 = 21.99 ft
Therefore, the length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
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(50 points) Here are descriptions of four situations in which the volume of water in a tank is
a function of time. Match each description to a corresponding graph. Each graph
is used only once.
Available Responses:
Graph 1
Graph 2
Graph 3
Graph 4
Situation A: An empty 20-gallon water tank is filled at a constant rate for 3
minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes.
Situation B: A full 10-gallon water tank is drained for 30 seconds, until it is half
full. Afterwards, it gets refilled.
Situation C: A 2,000-gallon water tank starts out empty. It is being filled for 5
hours, slowly at first, and faster later.
Situation D: An empty 100-gallon water tank is filled in 50 minutes. Then, a dog
jumps in and splashes around for 10 minutes, letting 7 gallons of water out. The
tank is refilled afterwards.
Answers
Answer:
A = 3
B = 1
C = 2
D = 3
Situation A is graph 3, situation B is graph 1, situation C is graph 2 and situation D is graph 4.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Situation A :
The water tank is empty at first. So the graph must start at origin.
Tank is filled at a constant rate for 3 minutes until it is half full, that is until it is 10 gallons.
Then the tank is emptied at a constant rate for 3 minutes, which is also 10 gallons.
So the slope must be equal.
And the graph must start from 0 and ends at zero which is graph 3.
Situation B :
Water tank is already full. So the graph must start at higher value in the Y axis.
The only possibility for this is graph 1, since all others starts at origin.
Situation C :
Water tank starts at empty. So the graph starts at 0.
First the rate is slower, then it becomes faster. So there will be an increase in the slope, which is graph 2.
Situation D :
Graph starts at origin since the tank is empty.
Then there is a slight decrease in the water for some time. So the graph turns down slightly, again tank is refilled, so the graph goes up.
Hence each of the graph corresponds to the situation is found.
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Use the distributive property to rewrite as an expression
5(x+3)
Answers
Answer:
5x+15
Step-by-step explanation:
you mulityply 5*x and 5*3
Please help i cant figure it out will mark branliest
Answers
Answer:
b
Step-by-step explanation:
hope it helped u take a look at the picture u attached
Brody worked 8.5 hours at Food Lion this week and made $78.20. Based on the number of hours Brody worked and how much he was paid, how much money does Brody make per hour
Answers
Answer:
1 hour = $9.2
Step-by-step explanation:
The question says that:
Brody makes $78.20 in 8.5 hours.
So,
8.5 hours = $78.20
We need to find 1 hour pay.
So, divide both sides of the above equation by 8.5
8.5 / 8.5 hours = $78.20 / 8.5
1 hour = $9.2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807(03.01)
Is the following relation a function? (1 point)
x y
1 −2
1 −3
2 1
3 −2
Yes
No
Answers
Answer:
no
Step-by-step explanation:
the x values repeat itself
The given relation is not a function.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given a table of x and y values.
We have to determine the relation is a function or not.
By the definition of functions, a relation is a function if an input value does not map to two output values.
That is, an x value will not map to two y values.
From the table,
x = 1 maps to two y values -2 and -3.
This is not possible for functions.
So this is not a function.
Hence the relation is not a function.
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Find the slope of the line passing through the points (8,-4) and (1,-9)
Answers
Answer:
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.
Answer: 0.71429
Step-by-step explanation:
Please help I am stuck on this
Answers
Explanation:
I know someone else already answered, but I wanted to explain why the answer is B.
Consider an equation of a line in slope-intercept form: y = mx + b
Since the line intersects the y-axis at -1, that’s the y intercept, or b. We know the slope of the line is positive because it slopes upward from left to right. From each whole number solution point, the line goes up one and two to the right. Slope, represented by m, is “rise” over “run”, or the change in y over the change in x. This makes the slope 1/2.
I hope this helps.
Which of the following expresses in sigma notation?
Answers
Answer:
A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .
What is 95/18 as a decimal?
Please include an explanation and the correct answer!
I will give brainliest to the best answer!
I need it in the next 5 mins!
Thank you!
Answers
Answer:
5.27777777
repeating 7s forever
rounded to 2 decimal places is:. 5.28
Hey there!
In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)
Here’s the formula
a/b = a ÷ b = [decimal form]
ANSWERING YOUR QUESTION
95/18
= 95 ÷ 18
= 5.277778 ≈ 5.3 or 5.28
Therefore, your answer is: 5.277778
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)
(solve using substitution method. MUST SHOW WORK)
Answers
There are 23 sharks and 7 octopi in the aquarium
Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y
If the total number of animals in the tank is 30, therefore;
x + y = 30 ....................... 1If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:
5x + 8y = 171 ................ 2From equation 1, x = 30 - y ................... 3
Substitute equation 3 into 2 to have:
5(30-y) + 8y = 171
150 - 5y + 8y = 171
3y = 171 - 150
3y = 21
y = 7
Recall that x = 30 - y
x = 30 - 7
x = 23
Hence there are 23 sharks and 7 octopi in the aquarium
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Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will cost her $25. How many presents can she buy?
Answers
15 presents
Scientists say we should sleep 3/8 of a day.How about many hours is this
Answers
Answer:
9 hours
Step-by-step explanation:
Answer:
[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]
number of hours in a day = 24
according to scientists ,
we should sleep number of hours = 3/8
therefore ,
[tex] \frac{3}{8} \: of \: 24 \: hours = \frac{3}{8} \times 24 \\ = > 9 \: hours[/tex]
hope helpful~
the sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle?
Answers
Answer:
The final interior angle = 124°
Step-by-step explanation:
A heptagon has 7 sides. The sum of the interior angles formula:
The sum of the interior angles = (n - 2)180 where n = number of sides.
The sum of the interior angles= (7 - 2)180° = 900°
Six interior angles = 776°.
The final interior angle + six interior angle = 900°
The final interior angle + 776° = 900°
The final interior angle = 900° - 776°
The final interior angle = 124°
Answer:
124
Step-by-step explanation:
Right on Edge 2022
Alan had x dollars in his bank account. He deposited $255.73, and now his balance is $1,896. What was his previous balance?
Answers
you’re welcome
Can someone please help !!
Answers
Find 34−13.95 . Express your answer in decimal form.
Answers
Answer:
34-13.95 = 20.05
Step-by-step explanation:
Answer:
20.05
Step-by-step explanation:
34 - 13.95 = 20.05
Can someone help me, please? :((((
Answers
Answer:
C 132 square units
Step-by-step explanation:
. Happy Friday
does 12 11 and 7 make a right triangle
Answers
Answer: no
Step-by-step explanation: hope it helps
Can someone help me solve this problem? I’m not sure how to solve this type of expression
Answers
Answer:
(2x+3)square+2
Step-by-step explanation:
(2x) square +2 (2x)(3)+(3)square
2x square +12x+9
I think so.
pls give me brainliest
What happend when matter condenses??
Plzz Answer???
Answers
Answer:
in condensation, gas turns into a liquid
Answer:
Condensation is when a gas becomes a liquid. ... In condensation, matter changes from a gas to a liquid. All matter is made of tiny moving particles called molecules. Evaporation and condensation happen when these molecules gain or lose energy.
Use the formula ( v = u + at ) to work out the value of v : when u =6, a = 4, t =30
Answers
Answer:
V = 126
Step-by-step explanation:
Step 1) Given that u = 6, a = 4 and t = 30 the equation looks like this: V = 6 + 4(30) (V = U + AT)
Step 2) Multiply 4 by 30 to get 120 and add six to get the answer V = 126.
LOOK AT THE IMAGE!!!!!
Answers
Answer:
a. 3/10
b. 1/10
c. 4/10 or 2/5
Step-by-step explanation:
There is 4 brown, 3 green, 2 red, and 1 purple if you add those all up you get 10. Since there is a total of 10 marbles in the bag and 3 of those are green 3/10 of the marbles are green. Same goes with purple, 1 of the 10 marbles in the bag is purple.
To solve for green and purple you must add them. Since there is 3 green and 1 purple that gives you 4. 4 out of 10 marbles are green or purple. 4/10 can also be simplified to 2/5
Find the common factor in the given algebraic expressions: x(a-b), y (b-a)
Explain please.
Answers
Answer:
the common factor in the given algebraic expressions: x(a-b), y (b-a)
Step-by-step explanation:
(x-y)(a-b)I need help with this question
Answers
Answer:
-5,2
Step-by-step explanation:
it literally represents LM and Shows it on the graph
Parallel, perpendicular, or neither
1. Y=x+6 and x- y=2
2. X-2y=8 and y=-2x+1
Answers
Answer:
1. parallel
2. perpendicular
Step-by-step explanation:
Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps.
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}
Answers
The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.
We have been given the relation below:
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places representing their distance.
The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².
The given relation of function is represented in the attached graph.
Take two endpoints (3, 0.75) and (9, 2.25)
x₁ = 3, y₁ = 2.25
x₂ = 4, y₂ = 9
distance = √ (9 – 3)² + (2.25 – 0.75)²
distance = √ (6)² + (1.5)²
distance = √ (36 + 2.25)
distance = √ (38.25)
distance = 6.18 miles
Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.
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5/7(x-9)=25
what does x equal?
Answers
Answer:
[tex]x=44[/tex]
Step-by-step explanation:
[tex]\frac{5}{7}(x-9)=25[/tex]
[tex]5(x-9)=175[/tex]
[tex]x-9=35[/tex]
[tex]x=44[/tex]
Twelve is sixteen less than four times a number.
Answers
To solve it add 16 to both sides
4x=28
Then divide by 4
X=7
can someone help me pls
Answers
Answer:
i think you add them not sure...
Step-by-step explanation:
40+44+44+??
ok?
Answer:
x=88°
x-44°=88°-44°=44°
Step-by-step explanation:
angle A+ angle B+angle C=180°
48°+x-44°+x°=180°
=48°-44°+x°+x°=180°
=4°+2x°=180°
=4°-4°+2x°=180°-4°
=2x°=176°
=2x°/2=176°/2
=x°=88°
x°-44°=88°-44°
=x°-44°=44°