Answers
explanation: line passes through y axis on 2, so 2 is your y-intercept. rise/run is ur slope, which is -1/4 .
The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,
⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]
Given that,
Graph of the equation of the line shown in the image.
Use the formula,
The equation of a line in point-slope form passing through the points
[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Let us take two points on the graph, which are (4, 1) and (0, 2).
Here, [tex](x_1 , y_1) = (4, 1)[/tex]
And, [tex](x_2 , y_2)= (0, 2)[/tex]
So, the slope of the line is,
[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]
[tex]m = \frac{1}{- 4}[/tex]
[tex]m = \frac{-1}{4}[/tex]
Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]
To learn more about the equation of line visit:
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Related Questions
Okay Ju|ian Foley simplifies this polynomial and then write it in standard form if Ju|ian wrote it the last term
Answers
Answer:
the second choice
Step-by-step explanation:
five billion, twenty-four million, five and six thousandths
Answers
Answer:
5,024,000,005.006
Step-by-step explanation:
This is the standard form of five billion, twenty-four million, five and six thousandths.
Apples cost $1.99 per pound.
How much do 3.25 pounds of apples cost?
Answers
Answer:
$6.47
Step-by-step explanation:
set up a ratio
[tex]\frac{1.99}{1} =\frac{x}{3.25}[/tex]
cross multiply
6.47=x
What is the measure of ZBAC?
Answers
Step-by-step explanation:
50°+50°+θ=180°
θ=180°-100°
θ=80°
Answer:
80 or b....................................
In the geometric sequence below, what is the common ratio?
Sequence: 64,16,4,1
Answers
9514 1404 393
Answer:
1/4
Step-by-step explanation:
The common ratio is the ratio of successive terms:
16/64 = 4/16 = 1/4
The common ratio is 1/4.
−2(5d−9f)+7f−10(−9f−7d)
Answers
Answer:
38
Step-by-step explanation:
Imagine you are the teacher. Explain how you would walk your student through this problem to answer this problem step by step.
Two hikers leave a cabin at the same time, one heading due south and the other headed due west. After one hour, the hiker walking south has covered 2.8 miles and the hiker walking west has covered 3.1 miles. At that moment, what is the shortest distance between the two hikers?
Answers
Answer:
Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:
3.12+2.82=x2
Here, you will need to use a calculator to simplify the left-hand side:
17.45=x2
Now use your calculator to take the square root. You will likely need to round your answer.
x=17.45−−−−√≈4.18 miles
As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.
Step-by-step explanation:
this is my explanation
plzzzz help meeeeeeeeeeee
Answers
1. You had $ 1 million, but then you spent $999 and then $22.222. How much
money do you have left?
Answers
ANSWER:
Look at this picture that will explain everything.
Using the Pythagorean theorem: a right triangle has a side that is 24 in and one that is 25in (25 is the diagonal side) what is the length of the third side
Answers
Answer:
Third Side (Perpendicular side) = 7 inch
Step-by-step explanation:
Given:
First side (Base) = 24 inch
Second side (Diagonal/Hypotenuse side) = 25 inch
Find:
Third Side (Perpendicular side)
Computation:
Using Pythagorean theorem;
Perpendicular side = √Hypotenuse side² - Base²
Perpendicular side = √25² - 24²
Perpendicular side = √625 - 576
Perpendicular side = √49
Perpendicular side = 7 inch
Third Side (Perpendicular side) = 7 inch
Can you figure out the missing number
Answers
Answer:
probably 6 thats one of the missing ones
HELPPP WIILLLL MAKR BRAINLIEST IF RIGHTTTT
Answers
Answer:
I think the answer is letter B
Answer:
4π yd²
Step-by-step explanation:
Area of a circle = πr²
πr²=4π
r²=4
r=2
Circumference of a circle = 2πr = 2π(2) =4π
ANSWER ASAP PLS
The circular opening of a tunnel has a circumference of 36 meters. Which equation can be used to find d, the
diameter of the tunnel opening in meters?
Answers
D = 36 divided by 3.14
D = 11.5
12) A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a
party, how many boxes of crackers should he buy?
Answers
Answer: about 3 boxes would be 3.50 lbs so idrk
Step-by-step explanation:
Find the surface area of the prism below.
Square meters
Answers
Answer:
loluuuhsjsjzjjnsjs
Step-by-step explanation:
bzisjsjxjshsusud773938
What’s the correct answer for this question?
Answers
Answer: D.
1. Simplify 12/18 to 2/3.
2/3 = 16/24
2. Simplify 16/24 to 2/3.
2/3 = 2/3
3. Some both sides equal, there are infinitely many solutions.
Write a function to describe the following scenario.
Emily plants a rosemary bush that starts at 5
centimeters in height and grows 3 centimeters
per year. How high will the rosemary be after a
certain number of years?
y = [?]x +
Answers
Answer:
y(x) = 3x + 5
Step-by-step explanation:
Since the rosemary grows by the same number of centimeters each year, this situation is modeled by a linear function.
Height starts at 5 meters and grows 3 centimeters per year.
This means that the height after a certain number of years, represented by x, is given by:
y(x) = 3x + 5
The volume of this rectangular prism is 53.72 cubic centimeters . what is the value of y?
Answers
Answer:
y = 1.7 cm
Step-by-step explanation:
V= lwh
w = [tex]\frac{V}{lh}[/tex] = [tex]\frac{53.72 cubic centimeters}{4cm(7.9cm)}[/tex] = 1.7 cm
There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps
Answers
Answer:
3:7 or 3/7
Step-by-step explanation:
if it helps don't forget to like and mark me
What is the answer no link I will report and banned you
Answers
50 POINTS Vanessa has 6 dimes and 2 pennies. Joachim has 1 dollar, 3 dimes, and 5 pennies. Jimmy has 5 dollars and 7 pennies. They want to put their money together to buy a game that costs $8.00. Do they have enough money to buy the game? If not, how much more money do they need? SHOW WORK
Answers
Vanessa: a dime = 10 cents = 0.10
A penny = 1 cent = 0.01
6 x 0.10 = 0.60
2 x 0.01 = 0.02
Total = 0.60 + 0.02 = 0.62
Joachim : a dollar = 1.00
3 x 0.10 = 0.30
5 x 0.01 = 0.05
Total = 1.00 + 0.30 + 0.05 = 1.35
Jimmy: total = 5.00 + 0.07 = 5.07
Total of all 3: 0.62 + 1.35 + 5.07 = $7.04
This is less than $8 so they don’t have enough.
They need: 8.00 - 7.04 = $0.96 more
Answer:they need more money
Step-by-step explanation: they need 96 more cents
A bag contains 8 blue coins and 10 red coins. A coin is removed at random and replaced by three of the other color.
Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. (PLEASE HELP)
Answers
Answer:
Wait can you re expain in the comments
Step-by-step explanation:
Determine what type of solution the following equation has: 3(x-1)+5=3x+2
- No solution
- One solution
-Infinitely Many solution
Answers
Hope this helps!
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points
Answers
Answer:
Step-by-step explanation:
The inequality Equation =
42 + 5x < 60
To stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Step-by-step explanation:
Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
Let the number of gigabytes = x
Under $60 means less than $60
The inequality =
$42 + $5×x < $60
42 + 5x < 60
Solving for x
42 + 5x < 60
5x < 60 - 42
5x < 18
x < 18/5
x < 3.6 Giga bytes
Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Please answer correctly math problemo #4
Answers
Answer:
4/3 or 1 + 1/3
Step-by-step explanation:
To divide fractions, we take the reciprocal of the second fraction and multiply that by the first. The reciprocal of 1/2 is 2. 2 multiplied by 2/3 is 4/3, which can also be represented as 1 and 1/3
he National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2666 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.) The 95% confidence interval is ( , ).
Answers
Answer:
95% confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47956 ,0.50620)
Step-by-step explanation:
Step(i):-
Given that National Center for Health Statistics interviewed 5409 adult smokers in 2015
Sample size 'n' = 5409
Given that 2666 of them said they had tried to quit smoking during the past year.
proportion
[tex]P = \frac{x}{n} = \frac{2666}{5409} = 0.49288[/tex]
Q = 1 - P = 1 - 0.49288 = 0.50712
Step(ii):-
95% confidence interval for the proportion of smokers who have tried to quit within the past year
[tex]({P - Z_{0.05} \sqrt{\frac{PQ}{n} } , P + Z_{0.05} \sqrt{\frac{PQ}{n} )[/tex]
[tex]({0.49288 - 1.96 \sqrt{\frac{0.49288 X 0.50712}{5409} } , 0.49288 + 1.96\sqrt{\frac{0.49288 X 0.50712}{5409} )[/tex]
(0.49288 - 0.01332 , 0.49288+0.01332)
(0.47956 , 0.50620 )
Final answer:-
95% confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47956 ,0.50620)
Elyssa bought a rectangular aquarium. The measurements, in feet (ft), are shown below.
How much water will it take to fill the aquarium
Answers
What is the approximate area of the circle shown below
Answers
Answer:
D. 154
Step-by-step explanation:
Formula
pi×r^2
r=diameter / 2
14/2=r=7
pi×7^2=154
A bike store sells scooters at a 54% markup. If the store bought each scooter for $29.25, what is the resale price to the nearest dollar? Show your work
Answers
9514 1404 393
Answer:
$45
Step-by-step explanation:
The relation is ...
resale price = cost + markup
= cost + 0.54×cost
= 1.54×cost
Then the resale price is ...
resale price = 1.54×29.25 = 45.045 ≈ 45.00
The resale price is $45.00.
Pedro throws a ball upward at a rate of 20 meters per
second from an initial height of 2 meters. The height
of the ball above the ground can be approximated by
h = -512 + 20t + 2, where t represents the amount of time,
in seconds, since the ball has been released.
What is the maximum height that the ball reaches?
Answers
Answer:
The maximum height that the ball reaches is of 3.96 meters.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
The height after t seconds is given by:
[tex]h(t) = -51t^2 + 20t + 2[/tex]
Which is a quadratic equation with [tex]a = -51, b = 20, c = 2[/tex]
What is the maximum height that the ball reaches?
This is [tex]h_v[/tex].
[tex]\Delta = b^2-4ac = 20^2 - 4(-51)(2) = 808[/tex]
[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{808}{4(-51)} = 3.96[/tex]
The maximum height that the ball reaches is of 3.96 meters.
