The equation of the line is [tex]5x+y-38=0[/tex]
Step-by-step explanation:
The slope is [tex]m=-5[/tex]
Also, the line passes through the points [tex](7,3)[/tex]
To find a line with slope [tex]m=-5[/tex] that passes through the points [tex](7,3)[/tex], let us use the equation of a line with slope that passes through the point is given by [tex](y-y_{1} )=m(x-x_{1} )[/tex] where m is the slope and [tex](x_{1} ,y_{1} )[/tex] are the points [tex](7,3)[/tex].
Thus, substituting the values in the equation of a line, we get,
[tex](y-3)=-5(x-7)[/tex]
Multiplying the term [tex](x-7)[/tex] by -5, we get,
[tex]y-3=-5 x+35[/tex]
Adding both sides by 5x,
[tex]5x+y-3=35[/tex]
Subtracting 35 from both sides of the equation,
[tex]5x+y-38=0[/tex]
Thus, the equation of the line is [tex]5x+y-38=0[/tex]
please help please i have to get this done
Answer:
im not sure sure but by the looks of it i think thats 3,6
Step-by-step explanation:
Answer:
slope of the given straight line in graph is -2
Step-by-step explanation:
Explanation:-
in given graph we have to choose points are A(0,3) on y-axis and B(1.5 , 0) on x- axis
let m be the slope of a line
by using slope formula is
[tex]m= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
m = [tex]\frac{0-3}{1.5-0}[/tex]
m= -2
another points we have choose
in given graph we have to choose points are A(0,3) on y-axis and B(2.5 , -2)
slope of a line :-
let m be the slope of a line
by using slope formula is
[tex]m= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{-2-3}{2.5-0}[/tex]
m= -2
where ever you will take point the slope of given straight line is
m = -2
40% in fraction I really need help
Answer:
2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
40%=40/100=4/10=2/5
What is the sum of all possible values of y if x is a positive integer, xy > 0, and 6x+2y=25?
A 5
B 7
C 8
D 15
E 20
Option E
The sum of all possible values of y is 20
Solution:
Given that,
6x + 2y = 25
Where, xy > 0
We have to find the sum of all possible values of y if x is a positive integer
We can use values of x = 1, 2, 3, 4
For x = 5 and above, y will be negative
Substitute x = 1 in given equation
6(1) + 2y = 25
6 + 2y = 25
2y = 25 - 6
2y = 19
Divide both the sides of equation by 2
[tex]y = \frac{19}{2}[/tex]
Substitute x = 2 in given equation
6(2) + 2y = 25
2y = 25 - 12
2y = 13
Divide both the sides of equation by 2
[tex]y = \frac{13}{2}[/tex]
Substitute x = 3 in given equation
6(3) + 2y = 25
2y = 25 - 18
2y = 7
Divide both the sides of equation by 2
[tex]y = \frac{7}{2}[/tex]
Substitute x = 4 in given equation
6(4) + 2y = 25
24 + 2y = 25
2y = 25 - 24
2y = 1
Divide both the sides of equation by 2
[tex]y = \frac{1}{2}[/tex]
Now add all the values of "y"
[tex]\text{Sum of possible values of y } = \frac{19}{2} + \frac{13}{2} + \frac{7}{2} + \frac{1}{2}\\\\\text{Sum of possible values of y } = \frac{19+13+7+1}{2}\\\\\text{Sum of possible values of y } = \frac{40}{2}=20[/tex]
Thus sum of all possible values of y is 20
There are 2,000 pounds in 1 ton .How many tons are there in 360,000 ?
Weekly math review 3:3
What is the LCM of 21 and 105
the LCM of 21 and 105 is 105.
Answer:
The answer to your question is 105
Step-by-step explanation:
To get the least common factor dividing both numbers by the prime numbers starting from 2.
But these numbers are not multiples of 2, try 3
21 105 3
These numbers are not multiples of 3 let's try 5
7 35 5
These numbers are multiples of 7 7 7 7
1 1
The LCM is the product of the prime numbers = 3 x 5 x 7 = 105
Is (3,3) a solution to the equation y=5x
Answer:
no
Step-by-step explanation:
3=5(3)
3=15
false
Answer:
no
Step-by-step explanation:
order the following integers from least to greatest 6, 11, 16, -8, -5
I need help on 1 and 2 20 points
Answer:
Question 1: A. 2
Question 2: C. [tex]x>90[/tex]
Step-by-step explanation:
Question 1:
Amount to be spend = $625
Cost to rent the ball room for 3 hrs = $350
Cost of each additional hour = $125
Ms Jensen wrote the Inequality as,
[tex]625>350+125h[/tex]
h⇒ Number of additional hours.
We need to find the value of 'h'.
Solution:
[tex]625>350+125h[/tex]
Now Subtracting both side by 350 using subtraction property of Inequality we get;
[tex]625-350>350+125h-350\\\\275>125h[/tex]
Dividing both side by 125 using Division property of Inequality we get;
[tex]\frac{275}{125}>\frac{125h}{125}\\\\2.2>h[/tex]
Hence The value of 'h =2' make the Inequality true.
Question 1:
Given:
[tex]20+2<\frac{x}{3}-8[/tex]
We need to find the solution for Inequality.
Solution:
First we will add the like terms we get;
[tex]22<\frac{x}{3}-8[/tex]
Now Adding both side by 8 using addition property of Inequality we get;
[tex]22+8<\frac{x}{3}-8+8\\\\30<\frac{x}{3}[/tex]
Now multiplying both side by 3 Using multiplication property of Inequality we get;
[tex]30\times3<\frac{x}{3}\times 3\\\\90<x[/tex]
Hence The solution to given Inequality is [tex]x>90[/tex].
what is 0.0014 in standard form ?
Answer:
Using the formula, write in standard form.
=
−
0.0014
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
1.4
×
10
−
3
Step-by-step explanation:
The decimal number 0.0014 can be written in standard form (also known as scientific notation) as 1.4 x 10^-3. This is done by shifting the decimal place so that you have a number between 1 and 10, and then indicating how many places you moved the decimal in the exponent of ten.
Explanation:The student asked to convert the decimal 0.0014 into standard form. The standard form for representing decimal numbers involves using the scientific notation which means expressing numbers as a number between 1 and 10, multiplied by the power of ten. So, 0.0014 can be written as 1.4 x 10^-3 in standard form.
This can be done through the following steps:
Decide where the decimal point needs to be for the number to be between 1 and 10. In this case, 1.4.Count how many places you had to move the decimal to get this number. In this case, 3 places.If you moved the decimal to the right, it's a negative exponent. If to the left, a positive exponent. Here, we moved right, so it's a negative exponent.In the final step, write this number times ten, raised to the power of the number of places you moved the decimal. Thus, 1.4 x 10^-3.Learn more about Standard Form here:
https://brainly.com/question/37011468
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Of the shirts in Bonnie's dresser, 3/10 are striped, while another 3/10 are plaid. What fraction of the shirts are either striped or plaid?
Answer:
6/10
Step-by-step explanation:
Derive the formula for the area of a sector, and then use it to choose all that are correct.
1.
radius = 5 cm
angle = 120°
area = 26.2 cm2
2.
radius = 4 cm
angle = 105°
area = 16.7 cm2
3.
radius = 6 cm
angle = 85°
area = 23.7 cm2
4.
radius = 7
angle = 75°
area = 32.1 cm2
Answer:
Part A) [tex]A_s=\frac{\pi r^{2}}{360^o}{\theta}[/tex]
Part B) option 1,option 4
Step-by-step explanation:
Part A) Derive the formula for the area of a sector
we know that
The area of circle is equal to
[tex]A=\pi r^{2}[/tex]
The area of circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of a sector [tex]A_s[/tex] by a central angle of ∅ degrees
[tex]\frac{\pi r^{2}}{360^o}=\frac{A_s}{\theta}[/tex]
[tex]A_s=\frac{\pi r^{2}}{360^o}{\theta}[/tex]
Part B) Verify each case
case 1) we have
radius = 5 cm
angle = 120°
area = 26.2 cm 2
Find the area of the sector and then compare with the value of the given area
assume
[tex]\pi=3.14[/tex]
substitute the given values
[tex]A_s=\frac{(3.14)(5)^{2}}{360^o}{120^o}[/tex]
[tex]A_s=26.2\ cm^2[/tex]
so
The given value of area is correct
case 2) we have
radius = 4 cm
angle = 105°
area = 16.7 cm 2
Find the area of the sector and then compare with the value of the given area
assume
[tex]\pi=3.14[/tex]
substitute the given values
[tex]A_s=\frac{(3.14)(4)^{2}}{360^o}{105^o}[/tex]
[tex]A_s=14.7\ cm^2[/tex]
so
The given value of area is not correct
case 3) we have
radius = 6 cm
angle = 85°
area = 23.7 cm 2
Find the area of the sector and then compare with the value of the given area
assume
[tex]\pi=3.14[/tex]
substitute the given values
[tex]A_s=\frac{(3.14)(6)^{2}}{360^o}{85^o}[/tex]
[tex]A_s=26.7\ cm^2[/tex]
so
The given value of area is not correct
case 4) we have
radius = 7
angle = 75°
area = 32.1 cm 2
Find the area of the sector and then compare with the value of the given area
assume
[tex]\pi=3.14[/tex]
substitute the given values
[tex]A_s=\frac{(3.14)(7)^{2}}{360^o}{75^o}[/tex]
[tex]A_s=32.1\ cm^2[/tex]
so
The given value of area is correct
What is the slope of the line that passes through the points (2, 0) and (1,0)? Write your answer in simplest form.
Answer: slope = 0
Step-by-step explanation:
The formula for calculating slope is given as :
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]x_{1}[/tex] = 2
[tex]x_{2}[/tex] = 1
[tex]y_{1}[/tex] = 0
[tex]y_{2}[/tex] = 0
Substituting into the formula , we have
m = [tex]\frac{0}{-1}[/tex]
m = 0
The slope of the line passing through (2, 0) and (1, 0) is 0, indicating that the line is horizontal.
Explanation:The slope of a line that passes through the points (2, 0) and (1,0) can be determined using the formula for slope, which is (y2 - y1) / (x2 - x1).
Plugging in the coordinates, we get (0 - 0) / (1 - 2), which simplifies to 0/-1.
The slope of this line is 0. This indicates that the line is horizontal because there is no change in the y-value as the x-value changes.
The point where the graphs of two equations intersect has y-coordinate 2. One equation is y = -3x + 5. Find the other equation if I s graph has a slope of 1.
Answer:
The equation of the line is y= x + 2
Step-by-step explanation:
The general representation of equation of line is y= ax + b
where a is the slope and b is the y intercept. Here slope of the line is 1 and why is point where two lines intersect hence, it is the intercept.
So, the equation of the other line is y= x + 2
Answer:
The equation of the line is y= x + 2
Step-by-step explanation:
The general representation of the equation of a line is y= ax + b
where a is the slope and b is the y-intercept. Here slope of the line is 1 and why is the point where two lines intersect hence, it is the intercept.
So, the equation of the other line is y= x + 2
[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?
(Image Attached Below)
Answer:
C
Step-by-step explanation:
Given the logarithmic equation
[tex]\log_4x+\log_4(x-3)=\log_4(-7x+21)[/tex]
First, notice that
[tex]x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x<21\ x<3[/tex]
So, there is no possible solutions, all possible solutions will be extraneous.
Solve the equation:
[tex]\log_4x+\log_4(x-3)=\log_4x(x-3),[/tex]
then
[tex]\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3[/tex]
Hence, [tex]x=3[/tex] and [tex]x=-7[/tex] are extraneous solutions
For some jobs, the rate will be set by a minimum specified in the Fair Labor Standards Act.
True
False
Two sides of a triangle measure 7 cm and 15 cm. Which could be the measure of
third side of the triangle?
Answer:
It could be 9 or 23. It could also be many other things.
Step-by-step explanation:
The other side of the triangle has to be greater than 15 when added to 7 or greater than both when they are added together.
Juan and Raj cut up a banana to put on cereal. Juan puts 17 of the banana on his bowl of cereal, and Raj puts 25 of the banana on his bowl of cereal.
What fraction of the banana did Juan and Raj put on their cereal altogether?
Answer:
17/25
Step-by-step explanation:
What is the area of a 12 meter square? 48 square meters 121 square meters 144 square meters 169 square meters
Answer:
12 meter = 129.167
48 = 516.668
121 =1302.43
144 =1550
169 = 1819.1
Step-by-step explanation:
Final answer:
The area of a 12 meter square is calculated by squaring the length of the side, which results in 144 square meters.
Explanation:
The area of a square can be found by squaring the length of one of its sides. Since the given square has a side length of 12 meters, the area can be calculated as follows:
Area = side length * side length
Area = 12 m * 12 m
Area = 144 square meters
Which of the following has opposite sides that are congruent and parallel? Select all that apply.
A
a trapezoid
B
a rectangle
C
a square
D
a rhombus
Answer:
B C D i believe
Step-by-step explanation:
Angle ACB and angle ECD are _______ angles
Answer:
vertical
Step-by-step explanation:
Think of a number, any number
Add 3.
Double that
Subtract 4.
Cut that in half.
Subtract your original number,
Explain why the answer is always 1, regardless of
the number you began with.
Answer:
Step-by-step explanation:
think of any number : x
add 3 : x+3
double that : 2(x+3)
subtract 4 : 2(x+3)-4
cut in half (divide by 2) : (2(x+3)-4)/2
subtract original number : (2(x+3)-4)/2-x
if you simplify, you will end up with 1
Step by Step simplification
2(x+3) = 2x+6 double that
2x+6-4=2x+2 subtract 4 : 2(x+3)-4
(2x+2)/2 = x+1 cut in half (divide by 2)
x+1-x = 1 subtract original number
TEN POINTS PLEASE HELPPPPP!!!!!!
The cloud that has the least effect on the weather is
a. simple
b. stratus
c. cirrus
d. cumulus
Answer:
cirrus clouds
Step-by-step explanation:
cirrus clouds are very thin so they can't hold much water so the answer is Cirrus
P.S: Please give me brainlest i just need 2 more plz plz plz
ANSWER
Cirrus clouds
Explanation:
Because the cirrus clouds are more thin then most, therefor it cant hold as much water as other clouds. becuase its thinner it cant hold lots of water. So it is the least effective weather cloud.
c-1=8
solve each equation. check your solution
Answer:
c= 9
Step-by-step explanation:
first you would need to get the variable alone
next you would take the one and since it is subtraction you would do the opposite addition
then you would add one to each side and the two ones cancel each other out so the you add 8 and 1 and get nine so c would equal 9
Steps to solve:
c - 1 = 8
~Add 1 to both sides
c - 1 + 1 = 8 + 1
~Simplify
c = 9
Best of Luck!
Simplfy answer 18522/32928
Answer:
9/16
Step-by-step explanation:
18522/32928= 0.5625 which can be reconverted to a fraction, which in this case that fraction is 9/16
Answer:
1451/31914
Step-by-step explanation:
hope this helps :) have a nice day
2x - 3y = 13 x + 2y = -4
Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = 13 → (1)
x + 2y = - 4 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = - 4 - 2y → (3)
Substitute x = - 4 - 2y into (1)
2(- 4 - 2y) - 3y = 13 ← distribute and simplify left side
- 8 - 4y - 3y = 13
- 8 - 7y = 13 ( add 8 to both sides )
- 7y = 21 ( divide both sides by - 7 )
y = - 3
Substitute y = - 3 into (3) for corresponding value of x
x = - 4 - 2(- 3) = - 4 + 6 = 2
Solution is (2, - 3 )
all angles in a quadrilateral add to 360 . 2x+2x+100+84=360 , FIND The value of X
Answer:
4x + 184 = 360
4x = 176
x = 44
Step-by-step explanation:
Lets check!
88 + 88 + 100 + 84 = 360
176 + 184 = 360
360 = 360
At the school dance, the ratio of boys to girls is 7 to 20. If there are 80 girls, how many boys are there?
Answer:
It would be 4 to 80
Step-by-step explanation:
Answer:
28 boys
Step-by-step explanation:
For every 7 boys there are, there are 20 girls. It is given to us that there are 80 girls. To solve, divide 80 with 20:
80/20 = 4
Next, multiply 4 with 7:
4 x 7 = 28
There are 28 boys at the school dance.
Plz help IMMEDIATELY
Will award BRAINLIEST
(Need lengthy response)
#1. It helps to write everything out:
Sell price for boxes of cookies: $4.25x (x representing number of boxes)
Cost of each carton: $30y (y representing number of cartons)
The group bought 6 cartons, so we substitute y for 6:
30(6) = $180 they spent on the cartons.
Each carton contains one dozen boxes of cookies. In other words, 12 boxes of cookies. WIth 6 cartons purchased, we multiply 6 with 12 to get 72 boxes of cookies total they sold. Now we substitute x for 72:
4.25(72) = $306 they earned.
#2. The pattern is 2x + 5 = y where x represents the number of rides and 5 represents the admission. The y represents the total cost. Simply plug in the x's in the table into this equation to get the answer for y.
What percentage is $50,000 of $5,670,000?
$50,000 is 0.881 % of $5,670,000
Solution:
We have to find what percentage is $50,000 of $5,670,000
Let "x" be the required percentage
Then, by given, we can say,
"x" percent of 5,670,000 is 50000
Here, "of" means multiplication
So the statement goes like this:
"x" percent multiplied with 5,670,000 is equal to 50000
Thus finally the expression becomes:
[tex]x \% \times 5670000 = 50000\\\\\frac{x}{100} \times 5670000 = 50000\\\\\text{Simplify the above expression }\\\\56700x = 50000\\\\567x = 500\\\\x = 0.881[/tex]
Thus $50,000 is 0.881 % of $5,670,000