Answers
y = x - 80
Explanation:
The equation of line in slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:
To get the slope, we will need two points from the graph. I will choose the two (0,-80) and (60,-20)
slope = (y2-y1) / (x2-x1) = (-20--80) / (60-0) = 1
The equation now is:
y = 1x + c
y = x + c
2- getting the y-intercept:
To get the y-intercept, we will choose a point from the graph, substitute with this point in the equation and solve for c.
I will choose point (0,-80)
y = x + c
-80 = 0 + c
c = -80
Based on the above, the equation of the line is:
y = x - 80
Hope this helps :)
Related Questions
what is the slope of the line (2,-2) and (9,3)
Answers
slope = 5/7
the slope of the line is
m=5/7
i hope this helped you
if the temperature at 9:00 pm was 12 degrees farenheit,and after 6 hours the temperature dropped to 6 degrees Fahrenheit below 0,what was the rate of change in temperature per hour?
Answers
6-6=0
6 is the rate of change in temperature 6 hours
Then 1 is the rate of change in temperature is 1 hour
the ratio of the areas of two similar polygons is 81:64. If the perimeter of the first polygon is 32 cm, what is the perimeter of the second polygon? Round to the nearest tenth
Answers
In two similar polygons, the ratio of their areas is the square of the ratio of their sides. If the sides of any polygon are a and b then :
Ratio of area =[tex] a^{2} :b^{2} [/tex]
Given ratio of area =81:64
Or 81:64=[tex] a^{2} :b^{2} [/tex]
Taking root of both sides
9:8=a:b
The ratio of perimeter of any two similar polygon is equal to the ratio of sides.
Ratio of perimeter = a:b
Perimeter of first polygon is 32 cm.
Let the perimeter of second polygon be x.
32:x=a:b
Or, 32:x=9:8
[tex] \frac{32}{x} =\frac{9}{8}
[/tex]
Cross multiplying
9x= (32)(8)
9x=256
Dividing both sides by 9
x=28.4.
The perimeter of second polygon is 28.4cm.
How do I solve 20% out of 75
Answers
75 x 0.2 = ?
? = 15
What is the volume of the composite figure ?
Answers
What do you draw to show that 50,000 pennies is equivalent to 100 five dollar bills?
Answers
triangle LMN is similar to triangle XYZ with altitudes KL and WX. Find KL
Answers
Since LMN~XYZ, that means m∠N = m∠Z.
Since the angles are the same, we also know that
sin N = sin Z
Sine is the ratio of the opposite side to the hypotenuse of a right triangle. The sine of N would be the ratio of sides LK to LN, and the sine of Z would be the ratio of sides XW to XZ. That gives us:
x/28 = 3/12
Cross multiply the proportion:
12*x = 28*3
12x = 84
Divide both sides by 12:
12x/12 = 84/12
x = 7
The side length (KL) of the triangle ΔLMN will be 7. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔLMN is similar to triangle ΔXYZ with altitudes KL and WX.
The ratio of the corresponding sides will remain constant. Then the equation is given as,
KL / XW = LN / XZ
KL / 3 = 28 / 12
KL = (28 x 3) / 12
KL = 84 / 12
KL = 7
The side length (KL) of the triangle ΔLMN will be 7. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
For your party you purchased balloons for $.79 each. You spent a total of $11.85. About how many balloons were purchased?
Answers
Let us suppose the number of balloons purchased is x in number.
It is given balloons are purchased for $.79 each
Cost of x balloons = .79x.
Total amount spent on purchasing balloons = $11.85
Cost of x balloons = Total cost of balloons.
.79x=11.85
With x .79 is multiplied .Opposite of multiplication is division.
We perform the opposite operation both sides
Dividing both sides by .79
x=11.85÷.79
x=15
Total number of balloons purchased is 15.
HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!
Give me 5 fun facts about Octogons!
Answers
They have 8 sides.
They can be constructed with a straightedge and a compass
They form patterns on some oriental rugs.
Janggi ( a game uses octagonal pieces). Look this up.
How do you get the value of x
Answers
.. 5x = 180
.. x = 180/5 = 36
A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid. If the height is 6 cm, the volume of the pyramid is cm3.
Answers
Height = 6
Base length = 8
Volume of pyramid = width x length x height /3 = 8 x 8 x 6/3 = 128 cm³
Answer:
128
Step-by-step explanation:
Just did the test ;)
NEED HELP ASAPPP
Figure TUVW is transformed to T’U’V’W’, as shown:
Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?
Reflection about the y-axis followed by a translation left by 2 units
Reflection about the x-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
Answers
If you look closely, the reflection was made from the y-axis. The reflection would be above or below the x-axis if the reflection was to be made through the x-axis.
Also, the figure was moved 2 units to the left. Hence the reflection was moved 2 units from where the reflection should originally be which was (-6,-4).
Hope this answer is helpful.
The correct answer is Reflection across the y-axis and then Translation 2 units to the left. In a translation, the sign on the x of every point is changed. The reflected image is too far to the left to be just a reflection or even a rotation. That is why I said it was translated 2 units
Step-by-step explanation:
Please help asap
The table below shows which sports events have sold out and which have not.
Answers
B. To answer this, you need to find the number of predicted outcomes over the total number of possible outcomes. In this case it is 6/10 or 3/5 chance/probability. Between the 2 sports events there were 6 sold out compared to the total of 10.
The amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy. You spent $16.56 to fill up your car with gasoline. If you bought 6 gallons of gasoline, what is the constant of variation
Answers
Let "m" represent the money required.
Let "n" represent the number of gallons filled.
Since it is given to us that the amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy, therefore, this can be written mathematically as:
[tex] m\propto n [/tex]
We know that when we remove the "varies to" sign we have to replace it with the equal to sign and the constant of variation, which we will represent by the letter "k".
Therefore the above expression will become:
[tex] m=k\times n [/tex]
Now, it is given that m=$16.56 and n=6 gallons
Therefore, [tex] 16.56=k\times 6 [/tex]
Dividing both sides by 16.56 we get:
[tex] \therefore k=\frac{16.56}{6}=2.76 [/tex]
Thus, k=2.76 $/gallon is the value of the constant of variation.
find the slope of a line that is parallel to the line -0.75 x minus y equal 3 the slope of a parallel line is
Answers
The velocity of an airplane heading east is 400 knots with a wind velocity of 50 knots blowing toward the northeast. Calculate the resultant speed and direction of the plane. Round to the nearest tenth.
Answers
The velocity of the plane:
east=400 knots
The velocity of the air
50knots north east = 50/√2 north + 50/√2 east
The resultant speed would be:
total speed^2= east^2 + north^2
total speed= √(400+50/√2)^2 + (50/√2)^2
total speed= √(189534.254 + 1250)
total speed= 436.8 knots
2. To count the direction of the plane, you need to find the total speed of x(east/west) and y(north/south) axis separately then use tan formula.
east speed= 400knots + 50/√2 knots= 435.35 knots
north speed= 50/√2knots= 35.35 knots
tan a= opposite/adjacent
tan a = north speed/ east speed
tan a= 35.35/ 435.35
tan a=0.0812
a= 4.6 degrees
Given the function f(x) = 2x-5/3, which of the below expression is correct?
F^-1(x) = 5-2x/3
F^-1(x) = 3x-5/2
F^-1(x) = 3x+5/2
F^-1(x) = -2x - 5/3
Answers
I think you’re subtracting 5. So now it’s f^-1(x)= 3x+5/2. Not too sure but hope this may help. So, C.
What is the value of x?
Enter your answer in the box.
Answers
2x + 2 = 3x - 52 Vertical angles are congruent
2x = 3x - 54 Subtract 2 from both sides
-x = -54 Subtract 3x from both sides
x = 54 Divide both sides by -1
Answer:
x = 54
Radius is 8 what is the area of the circle then ?
Answers
We must use a certain formula to find the area of a circle. The formula is:
A = pi × r^2
Pi = Approximately 3.14
Radius = 8 cm
Substitute:
A = pi × r^2
A = 3.14 × 8^2
A = 3.14 × 64
A = 200.96
ANSWER:
The area of the circle is approximately 200.96 cm^2.
Using 3.14 itll be 200.96
Using actual pi it be 201.0619298 then it depends where to round
3×1 1/2=3×6/3=18/3=6
Answers
3*1 2/3 = 3 *6/3=18/3=6
Possible explanation: Hannah did not write the mixed number, 1 2/3, as a fraction correctly, 1 2/3 is not equal to 6/3
5 cups: explanation: first 1 wrote 1 2/3 as a fraction. 1 2/3 = 3/3+2/3=5/3, then I multiplied 3 x 5/3 = 15/3=5 = True
Thus: Hannah needs 5 cups for 3 batches of bars
Determine o X do triângulo na questão b
Answers
5x = 90
x = 18
? - 12 = -6
What is the missing number?
Answers
Write 6 percent as a decimal
Answers
A bakery supplier receives an order for 2 tons of flour from a bakery chain. The flour is shipped in crates. Each crate holds eight 10-pound bags of flour. How many crates does the supplier need to ship to fulfill the order?
Answers
8 x 10 = 80
4000 \ 80 = 50
The supplier needs to ship 50 crates.
Hope this helps
Can anyone solve this?
Answers
then multiply 3 by 2 to get 6 so you would have (3,6)
is a simplified version of 5(x+8)-10x =60
Answers
5x + 40-10x = 60
5x-10x = -5x
40-5x = 60
Subtract 40 from both sides
-5x = 20
X= -4
Last week, you finished Level 2 of a video game in 32 minutes. Today, you finished Level 2 in 28 minutes. What is your percent of change?
Answers
The first step to solve this problem is to compute how much change in minutes were you able to have today compared to the last week.
32 minutes – 28 minutes = 4 minutes faster than last week
To compute the percent of change you have to divide the change in minutes to the duration in minutes for the last week:
4 minutes / 32 minutes = 0.125 or 12.5% faster than last week
PLEASE HELP
If a student is chosen at random find the probability the student is male given that its a senior. Round to the nearest while percent.
Answers
=========================================
Work Shown:
"given that it's a senior" is an important piece of info that tells us to only focus on the "seniors" column. The word "given" is an indication that we know this information 100%
There are 5 seniors (2+3 = 5) and 2 of them are male. So 2/5 = 0.40 = 40% of the seniors are male. The probability of selecting a male, if we know this person is a senior, is 40%
The probability that a randomly selected senior student is male is 40%.
Given Data:
We have a two-way table representing the number of students by gender and grade level.
The relevant information is that there are 2 male seniors.
Event Definitions:
Let’s define the following events:
A: Student is male.
B: Student is a senior.
Conditional Probability:
We want to find the probability that a student is male given that they are a senior: (P(\text{Male}|\text{Senior})).
We can use the formula for conditional probability: [tex][P(\text{Male}|\text{Senior}) = \frac{P(\text{Male and Senior})}[/tex][tex]{P(\text{Senior})}][/tex]
Calculations:
From the table, we know:
Number of male seniors (A and B): 2
Total number of seniors (B): 5
Therefore: [[tex]P(\text{Male}|\text{Senior}) = \frac{2}{5} = 0.4][/tex]
Rounded Answer:
Rounding to the nearest whole percent:
([tex]0.4 \times[/tex]100% = 40%)
Summary: The probability that a randomly selected senior student is male is 40%.
The original price of an item is $130. The item is on a discount of 1/5 off the original price. You then pay a sales tax of 10%. What is the amount you paid for the item?
Answers
First, find 1/5 of $130, and then subtract that from the original price of the item, because it is a discount.
Divide the price of the item by 5.
130 ÷ 5 = 26
130 - 26 = 104
So, the price of the item (not including tax) is $104. Now, we must calculate the sales tax and then add that onto the price of the item, as tax is money collected by the government.
To calculate the tax, multiply the discounted price of the item by the percentage of tax, and then add it.
104 × 10% = 10.4
104 + 10.4 = 114.4
ANSWER:
The amount of money you paid fot the item is $114.4.
What is the simplified version of (1/3) (9x - 9)