Answer:
The answer is 3x-y-2=0
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line
m = [tex]\frac{4-1}{2-1}[/tex] = 3
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = 3x - 2 ← in slope- intercept form
subtract y from both sides
0 = 3x - y - 2 , that is
3x - y - 2 = 0 ← in general form
A restaurant owner is planning to have a courtyard area sodded. The sod comes in rolls that are 3 feet long by 1 foot wide. If the courtyard measures 60 feet by 50 feet, which of the following expressions represents the number of rolls of sod needed?
Answer:
[tex](60\times 50)\div 3[/tex]
Step-by-step explanation:
We are given that
Length of roll of sod, l=3 feet
Width of roll of sod, b=1 feet
Length of courtyard, L=60 feet
Breadth of courtyard, B=50 feet
Area of rectangle=[tex]Length\times breadth[/tex]
Using the formula
Area of roll of sod=[tex]3\times 1 feet^2[/tex]
Area of roll of sod=3 square feet
Area of courtyard=[tex]60\times 50[/tex] square feet
Number of rolls of sod needed=[tex]\frac{Area\;of\;courtyard}{area\;of\;roll\;of\;sod}[/tex]
Using the formula
Number of rolls of sod needed=[tex]\frac{60\times 50}{3}[/tex]
Number of rolls of sod needed=[tex](60\times 50)\div 3[/tex]
This is required expression which represents the number of rolls of sod needed.
the temperature at the foot of a mountain is 5.9 ° C. The temperature decreases by 1.7 ° C for every increase of 200m in height. If the height of the mountain is 1000m, what is the temperature at the top of the mountain?
A group of 11 students participated in a quiz competition. Their scores are shown below:
Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
[Part A] a histogram
A histogram would best represent the range of the scores by quartiles.
A dot plot would should how the data is distributed, but it does not easily show quartiles. A box plot, while like a histogram, only uses an interval scale. The histogram can show discrete data, and the data given is. What does discrete data mean? It means, in summary, that the data points are individually distinct.
Using this information, we can decide that a histogram is probably our best choice.
[Part B] see attached
First, we will label the y-axis "Frequency" and the x-axis "Score" to show which value is which. We will then label the axes with numbers to represent our data.
Next, we will put our data into the graph. See attached, I made this using www.socscistatistics.com/descriptive/histograms/.
Read more about your problem here: https://brainly.com/question/24283269
what is the slope of the line shown below (6, 6) (1, -4)
Answer:
2
Step-by-step explanation:
if you're looking at the table and you heard of rise/run, your rise is -10 if you go down from (6,6) and -5 if you go left to reach (1,-4). That will give you -10/-5 which gives you a positive 2. it would be the same if you went up 10 from (1,-4) and then 5 right to reach (6,6).
Can anyone plz help me with this??
Ans =22 But I don't know how?!
Answer:
first + all the digit then divide the rational than multiple it fro 5 then divide from 5 . the answer will appear
Can someone help i don’t know this
Answer:
Step-by-step explanation:
The youth shirt is 12 dollars
The adult shirt is 15 dollars
So the number of adult shirts is x
The number of youth shirts is y
15 x + 12y = 489
You are not asked to solve this. You are just asked to find it.
X2+y2-6x+2y-39=0 what is the radius and the center
Answer:
(centre = (3, - 1 ) and radius = 7
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 6x + 2y - 39 = 0 ( collect x/ y terms and add 39 to both sides )
x² - 6x + y² + 2y = 39
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 3)x + 9 + y² + 2(1)y + 1 = 39 + 9 + 1
(x - 3)² + (y + 1)² = 49 ← in standard form
with centre (3, - 1 ) and r = [tex]\sqrt{49}[/tex] = 7
Graph the function F(x)=2^x-4
Answer:
The plotting are correct .
HOPE IT HELPED!!
write the following expressions as an exponential term with a single base
(4*2^5)÷(2^3 *1/16)
Answer:
2^8
Step-by-step explanation:
(4*2^5)÷(2^3 *1/16)
[tex]\left ( 4\times 2^5 \right )\div \left ( 2^3\times \frac{1}{16} \right )\\\\2^7 \div 2^{-1}\\\\2^7\times 2^1\\\\2^8[/tex]
Maths assignment
y^2-36
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a ^2 − b ^2 = ( a + b ) ( a − b )
where
a = y
and
b = 6
( y + 6 ) ( y − 6 )
The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Bike
Walk
Travel to
school
Number
of pupils
Walk
9
120°
Car
Bus
Bus
Car
Bike
Total
36
Answer:
bike=7
car=8
walk=9
bus=12
Step-by-step explanation:
Answer:
Look at picture
Step-by-step explanation:
What is the value of y, if the standard deviation of 8, 8, 8, 8, y, 8 is 0?
Answer:
y = 8
Step-by-step explanation:
First, we know that the equation for standard deviation is
σ = √((1/N)∑(xₐ-μ)²), with σ being the standard deviation, N being the count of numbers, xₐ being individual values, and μ being the mean. Working backwards, we have
0 = √((1/N)∑(xₐ-μ)²)
Squaring both sides, we get
0 = (1/N)∑(xₐ-μ)²
Since 1/N cannot be 0, we know that
0 = ∑(xₐ-μ)²
Since (xₐ-μ)² can only be ≥0, this means that each value of xₐ-μ must be equal to 0, so
0 = xₐ-μ for each a
xₐ = μ
This leads to the conclusion that each value is equal to the mean, so the mean must be 8.
The mean is equal to the sum / amount of numbers. There are 6 numbers, and the sum is (40+y). The mean is
8 = (40+y)/6
multiply both sides by 6
6*8 = 40+y
48 = 40 + y
This means that
y = 8
What is the scale factor from ABC to DEF?
Answer:
0 so D
Step-by-step explanation:
The shape didnt change at all. All the sides are 5 for both triangles.
Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 7 pieces.
Answer:
24.5 inches need to be cut
Step-by-step explanation:
Covert 1.18 into a fraction
Answer:
13/11
Step-by-step explanation:
| would assume you mean 1.18 recurring, because 1.18 as a fraction is 59/50.
To work out 1.18 recurring, first we ignore the 1.0 and focus on 0.18 recurring.
If x = 0.18 recurring
100x = 18.18 recurring
99x = 18
x = 18/99
= 2/11
Now, we add on the 1.0 (11/11) to get 13/11
Which is equivalent (Algebra ll)
Answer:
D : [tex]x^{2} +81=x^{2} +20x+100[/tex]
Step-by-step explanation:
We start with the original equation:
[tex]\sqrt{x^{2} +81} =x+10[/tex]
Squaring both sides to remove the square root we get:
[tex]x^{2} +81=(x+10)^{2}[/tex]
Expanding the right side:
[tex]x^{2} +81=(x+10)(x+10)[/tex]
Multiplying the right side out and combining like terms we get:
[tex]x^{2} +81=x^{2} +20x+100[/tex]
Select the correct answer. . Which value of x makes this equation true? -12x - 2(x + 9) = 5(x + 4) ОА. 13/19 OB. -1/3 OC. -2 OD. 5
Answer:
B -1/3
Step-by-step explanation:
The value of x that makes this equation true is x = -2
Which value of x makes this equation true?We have the equation:
-12x - 2(x + 9) = 5(x + 4)
To solve it, we need to isolate x on one side of the equation:
-12x - 2x - 18 = 5x + 20
-12x - 2x - 5x = 20 + 18
-19x = 38
x = 38/-19 = -2
The value of x that makes this equation true is x = -2
If you want to learn more about equations:
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write
25 x 10^6
in standard form
Answer:
2.5 * 10⁷
Step-by-step explanation:
25 * 10⁶ 2.5 * 10 * 10⁶2.5 * 10⁷Answer:
25,000,000
Step-by-step explanation:
Please help it’s needed
very easy
[tex]\displaystyle\ (f-g)(x)=f(x)-g(x)=4x^2-5x-3x^2-6x+4=\boxed{x^2-11x+4}[/tex]
[tex]\\ \sf\longmapsto f(x)=4x^2-5x[/tex]
[tex]\\ \sf\longmapsto g(x)=3x^2+6x-4[/tex]
Now
[tex]\\ \sf\longmapsto (f-g)(x)[/tex]
[tex]\\ \sf\longmapsto f(x)-g(x)[/tex]
[tex]\\ \sf\longmapsto 4x^2-5x-(3x^2+6x-4)[/tex]
[tex]\\ \sf\longmapsto 4x^2-5x-3x^2-6x+4[/tex]
[tex]\\ \sf\longmapsto x^2-11x+4[/tex]
a right triangle is 18 inches long and a hypotenuse that is 30 inches long. what is the perimeter, in inches, of this triangle?
Answer:
The perimeter is 72 inches
Step-by-step explanation:
using the pythagorean theorem we can solve for the missing leg by plugging in the values we know.
[tex]a^{2} + b^{2} = c^{2} \\18^{2} + b^{2} = 30^{2} \\324 + b^{2} = 900\\ b^{2} = 900-324\\b^{2} = \sqrt{576} \\b= 24[/tex]
now you just add the values, 30 + 24 + 18
Jordan bikes 4/3 miles in 1/10 hours. What is his Speed in miles per hour?
Answer:
speed=distance / time
speed=(4/3) / (1/10)
speed=13.33miles per hour
Anderson has $120 and is spending $8 a day. Kate has $60 and is saving $7 a day. After how many days will they have the same amount of money?
Answer:
8 days
Step-by-step explanation:
Answer:
4 days
Step-by-step explanation:
[tex]120 - 8x = 60 + 7x[/tex]
x=4
Evaluate 2y when y = 6y
if x-y=9 and xy=2,find the value of (x square + y square)
Answer:
x² + y² = 85
Step-by-step explanation:
Using the expansion
(x - y)² = x² + y² - 2xy , then
x² + y² - 2xy = (x - y)² ( add 2xy to both sides )
x² + y² = (x - y)² + 2xy ← substitute given values
= 9² + 2(2)
= 81 + 4
= 85
2.
B. Melody had $25 and withdrew $300 from his bank account. She bought a pair of trousers for $30.00, 2 shirts for
$19.00 each, and 2 pairs of shoes for $40.00 each. Give the final expression, and determine how much money Mel had
at the end of the shopping day.
Answer:
25 + 300 = 325
trousers: spent 30 (a pair of trousers = one unity of trousers)
shirts: spent 19 x 2 = 38
shoes: spent 40 x 2 = 80
80 + 38 + 30 = 148
325 - 148 = 177
She had $177,00 left.
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
Jill has just moved to a new town and wants to share plates of baked goods with her neighbors. She has 20 cookies and 12 brownies to share, and wants to split them equally among the plates with no food left over. What is the greatest number of plates she can make to share?
Answer:
4
Step-by-step explanation:
The greatest number of plates Jill can split the 20 cookies and 12 brownies into can be determined by calculating the highest common factor and 20 and 12
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 20 = 1, 2,4, 5, 10, 20
Given P(A) = 0.36, P(B) = 0.2 and P(ANB) = 0.122, find the value of P(AUB), rounding to the nearest thousandth, if necessary.
Answer:
The value of P(AUB) = 0.438
Step-by-step explanation:
Given:
P(A) = 0.36
P(B) = 0.2
P(A∩B) = 0.122
Find:
The value of P(AUB)
Computation:
P(AUB) = P(A) + P(B) - P(A∩B)
The value of P(AUB) = 0.36 + 0.2 - 0.122
The value of P(AUB) = 0.56 - 0.122
The value of P(AUB) = 0.438
What does the point (1994, 400) on the graph represent?
Answer: There are 400 tadpoles in the year 1994.
This is because any point is of the form (x,y) where in this case
x = year number
y = tadpole population number
So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.
In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.
From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.
Please help ASAP please!!!
Answer:
75in^2
Step-by-step explanation:
5×5×4/2=50
5×5=25
50+25=75
Simplify the radical (180°.
Answer:
radical is sqrt we find 180 sqrt root
Step-by-step explanation:
first we write sqrt 180
sqrt 180 = ?
we can choose first two letters
18 are two letters
4^2 + 2 = 18
so first + third number choose
4 , 2 are number choose
4 + 2 sqrt (4+2-1)
6 sqrt 5
sqrt 180 = 6sqrt 5