Answers
Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{4 - 0} = \frac{3}{4} [/tex]
Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2
Related Questions
1. Nancy is walking around a circular track with a radius of 45 feet. If she walks the equivalent of 210 degrees, find the total distance she has walked around the track to the nearest foot.
2. A windshield wiper blade is 18 inches long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees. Round your answer ti the nearest square inch.
3. A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 75 feet, what is the area that is watered as the sprinkler rotates through an angle of 80 degrees? Round your answer to the nearest square foot.
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
The distance walked ( arc length ) is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{210}{360}[/tex]
= 2π × 45 × [tex]\frac{21}{36}[/tex]
= 90π × [tex]\frac{7}{12}[/tex]
≈ 165 ft ( to the nearest foot )
(2)
The area (A) covered is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{122}{360}[/tex]
= π × 18² × [tex]\frac{61}{180}[/tex]
= 324π × [tex]\frac{61}{180}[/tex]
≈ 345 in² ( to the nearest square inch )
(3)
The area (A) is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{80}{360}[/tex] ( r is the distance shot by sprinkler )
= π × 75² × [tex]\frac{8}{36}[/tex]
= 5625π × [tex]\frac{2}{9}[/tex]
≈ 3927 ft² ( to the nearest square foot )
Answer:
9514 1404 393
Answer:
top down: 1, 5, 6, 4, 8, 2, 3, 7
Step-by-step explanation:
It appears the expected order may be ...
__
Write the formula for the arc length of a circle with central angle, θ, in degrees.
\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi rArc Length=
360
∘
θ
⋅2πr
Replace 360° with 2π radians.
\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}
360
∘
θ
=
2π
θ
Replace the angle ratio in degrees with the angle ratio in radians.
\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi rArc Length=
2π
θ
⋅2πr
Simplify by cancelling
\textit{Arc Length}=\theta rArc Length=θr
Help me please *an image is attached*
Answers
which list shows the numbers in order from least to greatest?
-2,-3-0-2-3
0,-3-2,2,3
-3-2,0,2,3
0,-2-3,2,3
Answers
Choice 3
Step-by-step explanation:
-3 is the smallest and 3 is the biggest number
Which situation can be modeled using a linear function?
A) the population of yeast that doubles after every minute
B) the height of a projectile after it is launched
C) the distance covered by a car moving at a constant speed
D)the cost of a printing machine that depreciates every year at 2% per year
Answers
Answer:
the distance covered by a car at a constant speed
n
Which number line shows the graph of x2 11?
6
7
8
9
10
11 12 13
14
6
7
8
9
10
11
12
13
14
6
7
8
9
10 11
12 13
14
6
7
8
9
10
11
12
13
14
Answers
Answer:
11
Step-by-step explanation:
Solve each proportion.
2/8=5/r+8
Answers
Answer:
r=-20/31
Step-by-step explanation:
1)divide the numbers
2) subtract 8 from both sides of the equation
Find the missing lengths of the sides
Answers
Answer:
I believe the answer is the second one, please let me know if I am wrong.
LOOK AT THE PICTURE TO ANSWER
Answers
Hope this helps
Anyone know how to do this?
Answers
Answer:
It would be 10
Step-by-step explanation:
Its 10 because 12 is to long and the fact that 10 is a few inches shorter it looks correct :D
Answer:
A) 12
Step-by-step explanation:
Yes you have to do a² + b² = c²
So the bottom triangle is 3 and 4 so plug in.
4² + 3² = c² (simplify)
16 + 9 = c²
25 = c² (square root both sides)
5 = c
That gives us the vertical side of the second triangle.
So plug in again
5² + b² = 13² (simplify)
25 + b² = 169 (subtract 25 on both sides)
b² = 144 (square root both sides)
b = 12
x = 12
Hope this helps ya!!
No I never lied hahahah
Answers
Answer:
liar
Step-by-step explanation:
13(9−6m)+14(12m−8)
Find the sum
Answers
Answer:
=90m+5
Step-by-step explanation:
hope this helps
Find the Value of X.
(Plz help, 15 points, EASY FOR GENIUS)
Answers
Answer:
27
Step-by-step explanation:
3x3= 9 9x 3 = 27
Total= 27
if this is not right im sorry
Answer:
i think the answer is 27.
Step-by-step explanation:
3*3=9
9*3=27
whats up wate is 3000+39645
Answers
Answer:
MARK ME BRAINLIEST BRO!!!!!!!!
Step-by-step explanation:
I need help ASAP I’ll mark you brainliest if you help pls
Answers
Answer:
1 hour sorry if wrong
Step-by-step explanation:
HELP PLEASE!!! Math question
Answers
Answer:
(a). [tex]\frac{3}{7}[/tex]
(b). [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
(a). Odds in favor of winning a new T.V. = [tex]\frac{4}{7}[/tex]
Or probability of not winning a new T.V. = [tex]\frac{4}{7}[/tex]
Since, Probability to win a T.V. + Probability of not winning the new T.V. = 1
Probability of winning a new T.V. = 1 - Probability of not winning a new T.V.
= 1 - [tex]\frac{4}{7}[/tex]
= [tex]\frac{7-4}{7}[/tex]
= [tex]\frac{3}{7}[/tex]
(b). Probability of winning the match + probability of not winning the match = 1
[tex]\frac{9}{13}[/tex] + Probability of not winning the match = 1
Probability of not winning the match = 1 - [tex]\frac{9}{13}[/tex]
= [tex]\frac{13-9}{13}[/tex]
= [tex]\frac{4}{13}[/tex]
Please help! 50 points!
Consider the equation 4t + 10 = 34
(A) Write a real-world problem that can be solved using the equation.
(B) What does t represent in your scenario?
Answers
Answer:
two people are seeing how far they can throw footballs. one is younger than the other so to make it fair he steps 10 ft forward. the younger competetor throws the ball and it travels 4ft per second. it stops 34 feet from their 'base line'. how long was the football in the air?
t representing seconds
Step-by-step explanation:
i hope this makes sense
im mad tired rn
The same thing that i did last time but just replace with 34
A librarian has 883 books to place on shelves. Each shelf holds 98 books.
How many books will be left over after filling as many shelves as possible?
Answers
Answer:
She will be able to fill 9 shelves with 1 book left over.
Let me know if you need more help! :)
Step-by-step explanation:
883/98
=9
9 books will be left
What is the equation of a line when it is translated vertically down 4 units?
Answers
Answer:
y=[tex]x^{2}[/tex]-4
James and Eric each mix 6 pitchers of lemonade. James makes 26 fluid Ounces of lemonade per pitcher, and Eric makes 32 fluid Ounces of lemonade per pitcher. They combine their lemonade and pour all of it into glasses. They fill as many glasses as possible with 8 fluid Ounces each. They pour the remaining lemonade into the last glass.
Answers
The number of fluid ounces of lemonade made by James and Eric is a
multiple of the number pitchers mixed.
Possible responses are as follows;The number of glasses filled = 43 glassesThe volume of lemonade in the last glass = 8 fluid ouncesReasons for arriving at the above responses:Given and derived parameters;The number of pitchers James and Eric mix = 6 pitchers each
Number of fluid ounces of lemonade James makes per pitcher = 26 fluid Ounces
Volume of lemonade Eric makes per pitcher = 32 fluid ounces
Solution:Volume of lemonade James makes = 26 fluid Ounce × 6 = 156 fluid Ounces
Volume of lemonade Eric makes = 32 fluid ounces × 6 = 192 fluid Ounces
Total volume of lemonade made by James and Eric = (156 + 192) fluid Ounces = 344 fluid ounces
Volume of lemonade per glass = 8 Ounces
Number of glasses filled = 344 fluid Ounces ÷ 8 Ounces/glass = 43 glasses
Therefore, given that the number of glasses of 8 ounces of lemonade that can be filled using the 344 fluid ounces is exactly 43 glasses, we have;
The last glass is the 43rd glassVolume of lemonade in the last glass is 8 fluid ouncesLearn more about division in arithmetic here:
https://brainly.com/question/3060423
https://brainly.com/question/10910164
What is the 21st term of the sequence with a1 = -6 and d = 4?
Answers
Answer:
answer is 74
Step-by-step explanation:
-6+4 x 20
- 6+80=74
Over the summer, Jasper exercised 40 minutes a day.
After school began, Jasper figures he is exercising for
90 minutes a day. What is the percent increase?
Answers
Answer:
44%
Step-by-step explanation:
40/90 when put into a decimal is 0.4 repeating. Rounding that, it is 0.44, or 44%
HELPPPP!!!!!
my testt
Answers
Answer:
$8.50
Step-by-step explanation:
ok so if you divide 3.40 by 5 you get .68 and you multiply that to get 8.16 then you divide .68 to get the cost of half a pound and you get .34 so you add that to 8.16 and get 8.5.
your answer is $8.50
hope this helps!
Answer:i know this is no help now but plz give my sister brainliest for what she did last year.
Step-by-step explanation:
A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed. In 3 hours, they washed 12 cars. At that rate, how much money could they earn from washing cars for eight hours?A grocery store sells a bag of 5 lemons for $2.00. What is the unit cost of each lemon in the bag?
Answers
Answer:
$160 0.4/lemon
Step-by-step explanation:
5 per car wash
12 cars in 3 hours
4 cars per hour times 8= 32 cars in 8 hours
32 times 5= 160
5 lemons for 2.00
Unit cost= 0.4 per lemon
Identify the domain of the function shown in the graph.
Answers
Answer: C!
Step-by-step explanation: The domain is the x-axis, which goes from -5 to 5, so this makes the answer C.
Hope this helps :)
Identify each pair of angles as corresponding, alternate interior, or alternate exterior.
9)
A alternate exterior
B corresponding
C alternate interior
10)
A) Corresponding
B) Alternate exterior
C) Alternate interior
Answers
Answer:
9) Corresponding
(The agles correcpond off of reflection)
10) Alternate interior
(The interior brings the negative side and flips it to the possative on the x axis)
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get you a better answer!
Have a wonderful day! :)
[tex]\sqrt{x} 5*\sqrt{x} 8[/tex]
Answers
(GIVING BRAINLIEST!!)
Ingrid dug a trench eighteen twentieths of a meter long. The next day she dug nine twentieths of a meter more of the trench. What is a reasonable estimate of the total length of the trench?
A) one half meter
B) 1 meter
C) one and one half meters
Answers
Answer:
Solution :-
On first day, Ingrid dug eighteen twentieth of a meter = (18/20) of 1 meter = (18/20) * 1 = (9/10) meters .
Now,
→ Next day, Ingrid dug nine twentieth of a mater = (9/20) of 1 meter = (9/20) * 1 = (9/20) meters .
So,
→ Total length of the trench = Ingrid dug in first day + Ingrid dug next day = (9/10) + (9/20) = (9*2 + 9)/20 = (18 + 9)/20 = (27/20) = 1.35 meters.
Therefore,
→ Total length of the trench = 1.35m ≈ 1.00 meter .
Hence, a reasonable estimate of the total length of the trench is 1.00 meter.
so, b
Step-by-step explanation:
Answer:
2 meters
Step-by-step explanation:
-3/4x+9 xccccccccccccccccccccccccccccccccccccccccc
Answers
Help now please :))))
Answers
Answer: the last one
Step-by-step explanation:
Let f(x) = 4|x|
If g(x) is the graph of f(x) shifted right 5 units, write a formula for g(x)
g(x)=
Answers
Answer:
g(x)=4|x-5|
Step-by-step explanation:
Since the question wants you to shift 5 units to the right, all you need to do is add that - 5 inside the absolute value with the x, and it will shift the function 5 units to the right. I even attached a picture to prove that when adding - 5 inside the absolute value with the x, it shifts the function g(x) 5 units to the right.
Hope this helps! :)