[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -1 }{ 2 } \implies - \cfrac{ 1 }{ 2 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{- \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{2}) \\\\\\ y-7=- \cfrac{ 1 }{ 2 }x+1\implies {\Large \begin{array}{llll} y=- \cfrac{ 1 }{ 2 }x+8 \end{array}}[/tex]
Does the table below represent a proportional relationship? DUE PLSS
A. Yes, because all the ratios of y to x are equal to 2.
B. Yes, because all the ratios of y to x are equal to 3.
C. No, because all the ratios of y to x are not equal.
D. No, because all the numbers are positive.
Answer: The answer to your question is the letter B. May want to assess it before answering.
A surveyor measures from a point on the ground level that is 40 feet away from the building. the surveyor noted that the angle formed by the ground and the line of sight to the top of the building is 30°. how tall is the building?
Answer:
sory
Step-by-step explanation:
Which graph best represents the solution to the following pair of equations?
y = −x − 5
y = 2x + 4
Answer:
Two lines having equations y is equal to negative x minus 5 and y is equal to 2 times x plus 4 are plotted. These 2 lines intersect at the ordered pair negative 3, negative 2.
Step-by-step explanation:
Obviously, the appropriate graph will be one with the two lines plotted. Properly plotted, they will intersect at (-3, -2).
At Color City Art Supply, Regan is deciding which painting kit to buy. She typically uses acrylic paints but is thinking of starting a small watercolor project soon. The Deluxe Painter kit has 12 acrylic paints and 24 watercolor paints. The Traveling Painter kit has 8 acrylic paints and 16 watercolor paints. Do the kits have the same ratio of acrylic paints to watercolor paints?
Answer:
honestly I really don't know but I think it is 12 colers
Answer:
Yes,the kits have the same ratio of acrylic paints to watercolor paints.
Step-by-step explanation:
12:24
12÷12=1
24÷12=2
1:2
8:16
8÷8=1
16÷8=2
1:2
Plz help me well mark brainliest!
Answer:
c
Step-by-step explanation:
there's 6 squares
Answer:
the answer for this question is C
An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
The equation will be [tex]y=40000+16000*x[/tex]
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
2/3лх^3
4/3лх^3
2лх^3
4лх^3
Answer: 2/3πx³
Step-by-step explanation:
Let the radius of the cone be represented by x.
Since the height of the cone is twice the radius of its base, the height will be: = 2x
Volume of a cone = 1/3πr²h
where,
r = x
h = 2x
Volume of a cone = 1/3πr²h
= 1/3 × π × x² × 2x
= 1/3 × π × x² × 2x
= 1/3 × π × 2x³
= 2/3πx³
Therefore, the correct answer is 2/3πx³.
draw and divide a rectangle to show each product use a distributive property to find the product 5×14
The product of 5 and 14 using the distributive property is 70.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
For three numbers a, b and c, Distributive property states that,
a (b + c) = a b + a c
We have to find the product 5 × 14 using distributive property.
5 × 14 = 5 (12 + 2)
Using distributive property,
5 × 14 = (5 × 12) + (5 × 2)
= 60 + 10
= 70
Hence using distributive property, we can find the product of 5 and 14 as 70.
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(7/8 x 14) / (3/8 x 6) + 2 1/5
answer to this question is simple 7 4/9
keep the rollllllllllllllllllllllll
Step-by-step explanation:
3 x 6 = 6 + 6 + 6
4 x 6 = 6 + 6 + 6 + 6
Answer:
18/24
hope this helps
have a good day :)
Step-by-step explanation:
Gabriel used the expression 2.5x + 2y – 2 to represent his total cost, and 28 – 2.5x – 2y to represent the amount of change he should receive from $30. What was Gabriel’s error?
i could use some help...i’m getting caught up but i had to start from a random point and don’t understand a bit!
Answer:
The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.
Step-by-step explanation:
Answer:
The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.
Step-by-step explanation:
SAMPLE
if 11 is to 22, and 22 to 242, then from 242 to what
Answer:
it's equal to = 242 =484. I think so that's the right answer please
Please Help! Need this to pass :/
Answer:
63°
Step-by-step explanation:
...................................
write in terms of i
simplify your answer as much as possible
HELP APA!! I will mark Brainlist THANK YOU!
Answer/Step-by-step explanation:
According to the Hing e Theorem states when two triangles have two congruent sides but have different included angle measure, the largest angle is said to be definitely opposite the longer of the sides.
In the figure given, since both triangles have two corresponding sides that are congruent (BA = BB and BD = BD), and the included angle measure are different, therefore, the greater third side would be the side opposite to the included angle that is the greatest.
Thus, CD is opposite to the greater included angle (28°), therefore, CD> AD
if 2c - d = 3d - 2c, what is d in terms of c
Answer:
4c=4d
-remember to change the signs/symbols and do the like terms
The 5th grade is going on a trip. There are 285 students in the grade. Buses hold 30 passengers. How many buses are needed for the entire fifth grade to go on their trip?
Answer:
10 busses
Step-by-step explanation:
285÷30=9.5
9.5 would round up to 10
Write the coordinate of the vertices after a translation 8 units left and 13 units down. S(0,10). T(8,10) U(1,5)
Answer:
S(-8,-3), T(0, -3), and U(-7, -8)
Step-by-step explanation:
for all of the coordinates, you would subtract 8 from their X-values, and subtract 13 from their Y-values.
which question is not a statistical question?
How many vehicles do Boston residents have per household?
How much money do Boston residents spend on transportation every day?
How many Boston residents use public transportation?
How many times per month do Boston residents use public transportation?
How long does it take for Boston residents to travel to work?
Answer:
How many Boston residents use public transportation
Step-by-step explanation:
Answer:
D. How many times per month do Boston residents use public transportation
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.statistical meaning of, relating to, based on, or employing the principles of statistics statistical analysis. Other Words from statistical More Example Sentences
The product of 12 and k is 84. Solve for k.
Answer:
the k is 7
Step-by-step explanation:
12×2=24
12×3=36
12×4=48
12×5=60
12×6=72
12×7=84
Answer:
k = 7
Step-by-step explanation:
The product of 12 and k is 84 [tex]\rightarrow 12k=84[/tex].
[tex]12k = 84 \\ k = \dfrac{84}{12} \\ \boxed{k = 7}[/tex]
Convert to rectangular
When convert it into rectangular form we get x=-1/2 and y=0.
How to convert polar to rectangular form?To convert a point in polar coordinates (r, θ) to rectangular coordinates (x, y), you can use the following formulas:
[tex]x = r * cos(θ) \\y = r * sin(θ)[/tex]
Where r is the distance from the origin to the point, and θ is the angle in radians between the positive x-axis and the line connecting the point to the origin.
Alternatively, you can also convert from rectangular to polar coordinates using the following formulas:
[tex]r = sqrt(x^2 + y^2)\\θ = atan2(y, x)[/tex]
Where x, y are the rectangular coordinates and atan2 is a function that computes the angle of a point in a cartesian plane.
In general, it's worth noting that the polar coordinates are often used in some physics and engineering problems, while the rectangular coordinates are often used in computer graphics, analytic geometry and other fields.
What is 1 in polar co-ordinate?The angle of 1's inverse tangent is 45°. This is the outcome of translating to polar coordinates in the form (r,theta).
To convert it into rectangle equation we have
[tex]x=rcos(theta)\\y=rsin(theta)\\r=1\\theta= 3*pi/2\\x= cos(3*pi/2)\\x= -1/2\\y=sin(3*pi/2)\\y=0[/tex]
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PLEASE HELP!! I NEED HELP WITH THIS PROBLEM ASAP!! IF YOU HELP I'LL GIVE U BRAINLIEST!
Let the amount Tom does = x
Then Larissa’s time would be 3x( 3 times the amount of Tom)
And Neal would also be 3x
The total of the 3 is 84 hours so as an equation you have:
X + 3x + 3x = 84
Combine like terms
7x = 84
Divide both sides by 7
X = 84/7
X = 12 hours
Tom = x, so Tom exercised for 12 hours.
A rectangle has a
length of (2x+1) ft and width of (3x-15) ft. What is the area of the rectangle?
Answer:
6x^2-27x-15
Step-by-step explanation:
Area of rectangle: length x width
Area=(2x+1)(3x-15)=6x^2-27x-15
in the number 4105 how many significant figures
Answer:
There are 4 significant figures in the number 4105
Hope this helps!
Mark me brainliest if I'm right :)
Answer:
4 significiant figures
Step-by-step explanation:
please mark this answer as brainliest
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer: x = 13 and x = –29
Step-by-step explanation:i hope i help you
Answer:
To find the values of x that make the equation (x – 7)^2 = 36 true, you can start by undoing the square on the left side of the equation. Since (x – 7)^2 = (x – 7)(x – 7) = x^2 - 14x + 49. Then we know that x^2 - 14x + 49 = 36.
Now, you can add 14x and 49 to both sides to get x^2 = 50.
To find the values of x that make this equation true, we need to find the square root of both sides. So x = ±sqrt(50).
And the two values of x that will make the equation true are x = ±sqrt(50) = ±7sqrt(2). And it is not in the options given, which are x = 13, x = 1, x = -29, x = 42.
Step-by-step explanation:
The fish tank in the library is 3 feet long, 5 feet wide, and 4
feet deep. What is the volume of the fish tank?
PLEASE DONT SEND LINKS!!
Answer:
3×4×5=60 ft cubed
Step-by-step explanation:
multiply length ×width ×height the answer is in cubic units for volume
Having Substituted the given data into the volume formula, the volume was gotten as 60ft^3
Volume of CuboidGiven Data
Length of tank = 3 feetWidth = 5 feetDepth = 4 feetThe expression for the volume of a tank is given as
Volume of tank = Length *widht*Height
Substituting our given Data into the expression for the volume formula we have
Volume of tank = 3*5*4
Volume of tank = 60ft^3
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Write down the gradient of a line parallel to the line drawn below...
Answer:
[tex]\rm Slope = -1[/tex]
Step-by-step explanation:
Given :-
A equation of line .[tex]\rm y = -x-3[/tex]And we need to find out the gradient of the line. parallel to the given line .The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,
Slope intercept form :-
[tex]\rm\implies y = mx + c [/tex]
Where m is the slope of the line and c is y intercept .On comparing it to slope Intercept Form , we have ,
[tex]\implies \rm Slope (m) = (-1)[/tex]
And the slope of the line , parallel to a line is same as that of the given line. Therefore they will have same gradient.
[tex]\implies \boxed{\rm Slope_{(||\ line)} (m) = (-1)}[/tex]
Hence the gradient of the line is (-1) .
1. Simplify and show your work.
3(2x^3y^5)^3
——————— or /
(2x^6y^3)^4
On solving the provided question, we can say that - here the value of exponential equation is 648/1296 = 0.5
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
So, the equation is
[tex]3(2x^3y^5)^3/ (2x^6y^3)^4[/tex]
and x=y=1
so, 648/1296 = 0.5
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jona is b kg weight.her mother is seven kg less than three time than jona weight.how old is mother?
Answer: (3b - 7)kg
Step-by-step explanation:
Jona's weight = b kg
Since Jona's mother's weight is seven kg less than three time than jona's weight. This will be:
= (3 × b) - 7
= 3b - 7
Therefore, the mother is (3b - 7)kg
This line plot shows how many hours of homework twelve students have.
Answer:
A. 2 1/2 hoursStep-by-step explanation:
This is about the range of the data.
The student with the most homework spent 4 1/2 hours and the student with the least homework spent 2 hours.
The difference is:
4 1/2 - 2 = 2 1/2 hoursCorrect choice is A
Answer:
2 ¹/₂ hours
Step-by-step explanation:
From inspection of the given line plot:
Most number of hours of homework = 4 ¹/₂Least number of hours of homework = 2To find the difference between the most and least number of hours of homework, subtract the smaller number from the larger number:
[tex]\sf \implies 4 \frac{1}{2} - 2 = 2 \frac{1}{2}[/tex]
Therefore, the difference, in hours, between the student with the most homework and the student with the least homework is 2 ¹/₂ hours.