Answers
Answer:
We have to find the equation of the red line
To get the equation of the line in the slope-intercept form,
we need its slope and its y-intercept
Finding the Slope
we know that the slope of a line is the rise of the line / run of the line between 2 points
here, the 2 points are already marked on the graph
So, slope = rise / run
we notice that the line rises only 2 units and runs 8 units between the points: (-5 , 3 ) and (3 , 5)
Slope = rise / run
now that we know the values of rise and run, we can plug the values to get the slope
Slope = 2 / 8
Slope = 1 / 4
Finding the y-intercept
We will now look at the point (-5 , 3) , we know that the slope is 1/4.
which means that every time the line moves 1 unit to the right, it also moves 1/4 units up
So, until the point (-1 , 4), the line has finally ascended 1 unit and now is at a proper coordinate
We can see that the line is only 1 unit to the left of the y-axis, so the y-coordinate of the line after moving 1 unit to the right is the y-intercept
since the line ascends 1/4 units every time it moves 1 unit to the right,
the ordinate of the line at the y-axis will be 1/4 more than the last ordinate (which was 4)
y-intercept = (4 + 1/4)
y-intercept = 17 / 4
Equation of the line
From the question, we know that the general form of the slope-intercept form is :
y = mx + b (where m is the slope and b is the y-intercept)
y = (1/4)x + (14/4)
y = (x + 14) / 4
Related Questions
One of the main purposes of physical geography is to:
A. compare and contrast cultures from different regions,
B. identify patterns in the ways religions spread around the world.
C. allow governments to plan for future population growth.
D. help people understand how nature affects their communities,
Answers
Answer:
Hi! I did this exact question on A P E X and got it right! The answer to your question is D. Help people understand how nature affects their communities!
Step-by-step explanation:
I hope this helps and I hope you guys have a great day! :3
Proof:
what's the answer? please help
Answers
Answer:
The x pattern goes by adding 2 each time; the y pattern goes by adding 6 each time.
Slope formula: y/x
= 6/2
= 3
405,000,000−1.7×10^8
Answers
Answer: 235,000,000
Step-by-step explanation:
A $35 item is marked as 25% off. What is the discounted price?
Answers
Answer:
$26.25
Step-by-step explanation:
35×.25=8.75
35-8.75= 26.25
plz give me brainliest
Officer Brimberty wrote 16 tickets for traffic Violations last week, but only 10 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent The percent decrease is
Answers
Answer:
31.25%
Step-by-step explanation:
Alisha is making an 18-ounce coffee beverage that is made from brewed coffee and milk. The number of ounces of brewed coffee is 5 times greater than the number of ounces of milk. How many ounces of coffee and how many ounces of milk does Alisha need?
Answers
A wall measures 2 meters 30 centimeters in width.
What is the width of the wall in millimeters?
A:0.0023 mm
B:0.23 mm
C:2.3 mm
D:2,300 mm
Answers
Answer:
The answer is D
Step-by-step explanation:
1 meter = 1,000 millimeters
1 centimeter = 10 millimeters
2 meters = 2,000 millimeters
30 centimeters = 300
2,000+30=2,300
Answer: D. 2,300
Step-by-step explanation:
There is 1000 millimeters in a meter which gets you 2000 plus the 30 centimeters. 30 centimeters is equal to 300 millimeters because for every centimeter its 10 millimeters. Add the 2000 to the 300 and get 2300 millimeters.
Habib and Ali are friends and basketball coaches too. Habib goes to school every 4 days and Ali goes every 6 day to coach the students . if they both had a coaching session today. how many day in the next 48 days, would they both take the session on the same day? brainliest to the guy who send with the explanation
Answers
Answer:
I didn't got the ans but u can ask it to google assistant she is smarter than me
squares of side x are cut from each corner of an 8 inches x 5 inch in rectangle, so that its sides can be folded to make a box with no top. define a function in terms of x that can represent the area of the base of the box
Answers
Answer:
When we do not have anything cut of the rectangle, the area is:
8in*5in = 40in^2.
Now, when we cut squares of length x in the corners, the measures of the base will be:
8in - 2*x
5in - 2*x
We subtract two times x in each case because we cut the squares in the four corners. (below you can see a drawing of this situation, where the doted rectangle is the area that we want to calculate)
Then the area as a function of x is:
A = (8in - 2*x)(5in - 2*x) = 40in^2 + 4*x^2 - 26*x
3. Find the slope of the graph.
101
a.
WIN
8
3
b.
2
-2
2
3
-10 -3 -6 -4 -2
24
6
8 10
2
3
d.
2
=6
-8
-10
Answers
Answer:
It's is 3/2
Step-by-step explanation:
since the line is going up, the rise/run is going to be positive
Look at the figure. How can you prove the triangles are congruent?
A. ∆ABD ≅ ∆CDB by the SAS Postulate.
B, It is not possible to determine if the triangles are congruent.
C. ∆ABD ≅ ∆CDB by the SSS Postulate.
Answers
Answer:
A. ∆ABD ≅ ∆CDB by the SAS Postulate.
Step-by-step explanation:
You know lines AB and DC are congruent because of the lines on each. Additionally, angles B and D are congruent for the alternative interior angles rule and they also are marked as congruent in the image. Finally, DB is congruent to DB because of the reflexive property. So you have two sides and the included angle, this makes the SAS postulate true.
Answer:
the answer is A
Step-by-step explanation:
Sara is training for a bike race she rides her bike 5 3/4 miles in 1/3 what is sara rate in miles per hour
Answers
Answer: 17 1/4 miles per hour
please help with this question
Answers
Which inequality represents the graph shown below?
A number line between negative 5 and 5 is shown with an open circle at negative 2 and a ray drawn to the right of negative 2.
A. x –2
D. x ≥ –2
Answers
Answer:
x > -2
Step-by-step explanation:
An open circle (unshaded) which starts at -2 and drawn to the right means that the possible values of x do not include -2. Possible values of x are greater than -2, upwards.
Therefore, the inequality to use in representing the information displayed by the graph is x > -2.
This means possible values of x are greater than -2.
Question 1 of 5
Which of the following numbers is closest to 5?
A. 26
B.23
C. 22
D. 28
Answers
Hope this helps
35 is what percent of 50?
Answers
Answer:
17.5
Step-by-step explanation:
35% of 50 is 17.5
A line segment that forms a right angle with another segment at its midpoint
is a
A. angle bisector
B. perpendicular bisector
C. regular polygon
D. rectangle
Answers
Answer:
B
Step-by-step explanation:
Please mark brainliest if I helped.
A line segment that forms a right angle with another segment at its midpoint is a perpendicular bisector.
Option B is the correct answer.
What is a line segment?A line segment is part of a line that is bounded by two distinct endpoints and contains every point on the line between its endpoints.
It can be measured by its length and is finite in size.
We have,
A perpendicular bisector is a line or line segment that cuts another line segment into two equal parts and forms a right angle with it.
The midpoint of the line segment is the point where the perpendicular bisector intersects it.
Therefore, if a line segment forms a right angle with another segment at its midpoint, it is a perpendicular bisector since it cuts the segment into two equal parts and forms a right angle with it.
Thus,
A line segment that forms a right angle with another segment at its midpoint is a perpendicular bisector.
Learn more about line segments here:
https://brainly.com/question/17006091
#SPJ5
Ernesto has a jump rope that is 10.5 feet long. To make the jump rope the jdeal length for his height, Emesto needs to cut off 0.3 of the jump rope. If Ernesto does this, how much rope will he cut off?
Answers
Answer:wouldnt he cut of 0.3?
Step-by-step explanation:It legit says that in the question and ther will me 10.2 feet left
Answer:
it is c
Step-by-step explanation:
Kyle invested $15,000 in a savings account. If the annual interest rate is 5%, how much will be in the account in 10 years for quarterly compounding?
Round your answer to the nearest cent.
Do NOT round until you calculate the final answer
Answers
Answer:
The correct answer is 24654.29
Step-by-step explanation:
Identify the values of each variable in the formulas. Remember to express the percent as a decimal.
For quarterly compounding, n=4. There are 4 quarters in a year.
Substitute the values in the formula.
A=15,000(1+0.054)4⋅10
Compute the amount. Be careful to consider the order of operations as you enter the expression into your calculator.
A=$24,654.29
HELP HELP HELP What is the slope of the line that passes through the points (-3,-2) and (1,3)
Answers
Answer:
5/4
Step-by-step explanation:
Use rise over run, which is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line
Plug in the points:
(y2 - y1) / (x2 - x1)
(3 + 2) / (1 + 3)
= 5/4
So, the slope is 5/4
help please!! i don’t understand this one!
Answers
Answer:
C, D
Step-by-step explanation:
This equation can be solved any of several ways. One that doesn't require much thought is using the quadratic formula.
For ax² +bx +c = 0, the solutions are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In the given equation, a=2, b=11, c=5, so this becomes ...
[tex]x=\dfrac{-11\pm\sqrt{11^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-11\pm\sqrt{81}}{4}\\\\x=\dfrac{-11\pm9}{4}=\left\{-\dfrac{20}{4},-\dfrac{2}{4}\right\}=\{-5,-\frac{1}{2}\}[/tex]
The solutions are ...
C. x = -5
D. x = -1/2
_____
My personal favorite is using a graphing calculator. The solutions are the x-intercepts of the expression on the left. That is, where its value is zero, as the equation says.
ASAPP!!!!!!!!!! 100 points!!!!!
Answers
Answer:
rate of change formula is (y2-y1)/(x2-x1)
so (36-24)/(7.5-5)= 12/2.5=4.8lbs
So for every 4.8lbs you give an extra mL of dosage
Answer: A) rate of change formula is (y2-y1)/(x2-x1)
so (36-24)/(7.5-5)= 12/2.5=4.8lbs.
Sanjay can travel 342 miles in 6 hours. At this rate how far can he travel in 5 hours?
Answers
Answer:
He can travel 285 miles in five hours
Step-by-step explanation:
342 miles / 6 hours = 57 miles
57miles per hour x 5 hours = 285 miles
Simplify this expression:
2x? - 5xy - 6+ 4x2 – 3xy +1-xły
O 6x? - 9xy - 5
O 5x2 – 8xy-5-y
O 6x2 - 8xy-5-xy
O 6x² + 2xy-by-xy
Answers
Answer:
3xy⋅(4x
2
+2x−3y)
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
Which statement describes -1?
Answers
Answer:
-1 is part of integer numbers
Step-by-step explanation:
Because its a whole number and it has an additive inverse (which is +/-).
The width of a slot of a duralumin forging is (in inches) normally distributed with μ= 0.9000 and σ = 0.0030. The specification limits were given as 0.9000 ±0.0050. Show your calculations. Draw normal curves wherever appropriate.
a) What percentage of forgings will be defective?
b) What is the maximum allowable value of σ that will permit no more than 1 in 100 defectives when the widths are normally distributed with μ = 0.9000 and σ (revised value)?
Answers
Answer:
a) 9.56%
b) 0.0019
Step-by-step explanation:
a) Find the z-scores.
z = (x − μ) / σ
z₁ = (-0.0050) / 0.0030
z₁ = -1.67
z₂ = (0.0050) / 0.0030
z₂ = 1.67
Find the probability using a chart or calculator.
P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)
P(Z < -1.67 or Z > 1.67) = 2 (0.0478)
P(Z < -1.67 or Z > 1.67) = 0.0956
b) Use a chart or calculator to find the z-score.
P(Z < -z or Z > z) = 0.01
P(Z < -z) = 0.005
z = 2.576
Find the standard deviation.
z = (x − μ) / σ
2.576 = (0.0050) / σ
σ = 0.0019
3. You go to a restaurant and spend $82. You find out the bill is 15% off, how much do you pay?
Answers
Answer:
$69.7
Step-by-step explanation:
82*0.15(15%)
12.3
82-12.3=
69.7
Find the 12th term of this arithmetic sequence: 16, 18, 20, 22, ...
Answers
Answer:
38
Step-by-step explanation:
the pattern adds 2 to every next number.
16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38 <
The health club offers a silver membership and a gold membership at the table contains information about the one time registration fee and monthly fee for each membership and which of the following number of months with the gold membership be a better value than the silver membership 
Answers
Answer: after 13 months
Step-by-step explanation:
what are the y values of the equation y = 3x + 4 at x values -1, 0, 1, 2
Answers
Answer:
-2; 1; 4; 7
Step-by-step explanation:
To solve for y, plug the x value in to the expression
y = 3(-1) + 1
y = -3 + 1
y = -2
When x = -1, y = -2
y = 3(0) + 1
y = 0 + 1
y = 1
When x = 0, y = 1
y = 3(1) + 1
y = 3 + 1
y = 4
When x = 1, y = 4
y = 3(2) + 1
y = 6 + 1
y = 7
When x = 2, y = 7