Line p passes through A(-2, -4) and has a slope of 1/2 What is the standard form of the equation for line p?

Answers

Answer 1
point slope form is y-(-4) = 1/2(x-(-2)

y+4 =1/2 (x+2)

now the standard form 2y+8=x+2
so -x+2y=-6 is the equation for line p in standard form

Related Questions

Simplify the square root of 16x^6th power

Answers

Simplify the square root of 16x^6th power

I have another math question

Answers

#8 is 195
#9 is $520
_------_--------_

What is the equation of the line that is perpendicular

Answers

The answer should be C

△FEB≅△CNB.

What is length of BN¯¯¯¯¯¯ ?

Answers

3.8
You simply match them up in corresponding order and use CPCTC

we know that

The CPCTC states that corresponding parts of congruent triangles are congruent

so

△FEB≅△CNB

that means

[tex]FE=CN\\FB=CB\\EB=NB[/tex]

we have

[tex]FE=6.1\ units\\FB=4.8\ units\\EB=3.8\ units[/tex]

therefore

[tex]BN=3.8\ units[/tex]

the answer is

the length of BN is [tex]3.8\ units[/tex]



If cats prowl, mice will scatter. Mice are scattering

Answers

The cat prowled and the mice scattered

Question Down Below...

Answers

5/12 equals to 20/48.

48÷12=4
5×4=20
Hello there!

First, you need to replace that empty space by a letter. As usual, we replace that empty space by x or y. I pick X :)

[tex] \frac{5}{12} = \frac{x}{48} Now, we do something called cross-multiply 12*x = 48 * 5 12x = 240 x = 240/12 x= 20 [/tex]

The missing number is 20
----------------------

We can check if we got the answer right. Replace the hole by 20
so it will be
5/12 = 20/48

when divided 5 by 12, it equals to 0.41
when we divided 20 by 48, it equals 0.41

So yes, 20 is the missing number.


I hope this helps you. Please let me know if you have more questions.

Best of luck! 

What is the average rate of change of the function on the interval from x = 1 to x = 2?

f(x)=10(5.5)x

Answers

x=1 f = 10(5.5)(1) = 55

x=2, f = 10(5.5)(2) = 110

110-55 = 55

2-1 =1

55/1 = 55

 average rate of change = 55

The following temperatures were recorded in Pasadena for a week in April: 87, 85, 80, 78, 83, 86, 90. Determine the interquartile range

Answers

first, we put them in order

78,[80],83,(85),86,[87],90

Q1 = 80
Q2 (median) = 85
Q3 = 87

Interquartile range (IQR) = Q3 - Q1 = 87 - 80 = 7 <==


first, we put them in order

78,[80],83,(85),86,[87],90

Q1 = 80
Q2 (median) = 85
Q3 = 87

Interquartile range (IQR) = Q3 - Q1 = 87 - 80 = 7 <==

Find -8 ÷ 1/2 =
a.1/16
b.16
c.-1/4
d. -4

Answers

-8 / 1/2


-8 / 1/2 = 


B. -16
it would be d -4 cuz when u divide by 1/2 it half of that number so half of 8 is 4 abb the - and u get -4
hope i helped

The range of f(x) = |-x| is _____.

y < 0 , y > 0 , y ≤ 0 , y ≥ 0

Answers

This is an absolute value ,  for example |-6| = 6 and |-0| = 0  so your answer is

Y >= 0  ( your last choice)

Answer:

y ≥ 0

Step-by-step explanation:

The real absolute value function is defined on the set of all real numbers, assigning each real number its respective absolute value. Formally, the absolute value of any real number x, is defined by:

[tex]|x|=x,\hspace{3}if\hspace{3}x\geq0\\|x|=-x,\hspace{3}if\hspace{3}x<0[/tex]

The domain of the function is all real numbers, and by definition, the absolute value of x will always be greater than or equal to zero and never negative. Hence:

[tex]Domain:\\x\in R\\Range:\\y\in R : y\geq0[/tex]

I attached you a picture of the graph.

Cameron bought four begonias in 6-in pots and a $19 fern at a fundraiser. he spent a total of $63. how much is each begonia?

Answers

Each of the begonias are $11

The cost of each begonia is $11 at a fundraiser.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's assume the cost of each begonia x.

Since Cameron bought four begonias, the total cost of the begonias was 4x.

The total cost of the plants was the cost of the begonias plus the cost of the fern, or 4x + 19.

As per the question, the total cost was $63, so we can set up the equation:

4x + 19 = 63

To solve for x, we need to get x by itself on one side of the equation. We can do this by subtracting 19 from both sides:

4x + 19 - 19 = 63 - 19

This simplifies to:

4x = 44

To solve for x, we need to divide both sides by 4:

4x / 4 = 44 / 4

This simplifies to:

x = 11

Therefore, each begonia cost $11.

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The sum of three numbers is 50. one number is 10 more than the second number it’s also twice the third find the number

Answers

x + y + z = 50
y  + 10 = x, solving for y, y = x - 10
x = 2z, solving for z, z = x/2
Substituting for y and z,

x + x - 10 + x/2 = 50
(5/2)x - 10 = 50
(5/2)x = 60
x = (2/5) * 60 = 24
y = x - 10 = 24 - 10 = 14
Z = x/2 = 24/2 = 12

Checking:
x + y + z = 50, 24 + 14 + 12 = 50, 50 = 50. Solution meets the initial constraint. 

The three numbers will be 24, 14 and 12 respectively.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the sum of three numbers is 50 and first number is 10 more than the second number and it is also twice the third.

Assume that the three numbers are [x] , [y] and [z].

Then, we can write -

x + y + z = 50       ..[1]

x = y + 10        ..[2]

x = 2z           ..[3]

Equating Eq [2] and Eq [3], we get -

2z = y + 10

Rearranging the equation above -

y = 2z - 10

Now, for Eq [1], we can write -

2z + z + y = 50

3z + y = 50

3z + 2z - 10 = 50

5z = 60

z = 12

Then, the value of [y] will be -

y = 2 x 12 - 10

y = 24 - 10

y = 14

and

x = 2z = 2 x 12 = 24

Therefore, the three numbers will be 24, 14 and 12 respectively.

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Which of the following points are on the line given by the equation y=1/2x?
Check all that apply

A. (2, 1)
B. (3, 15)
C. (4, 2)
D. (3, 6)
E. (-2, 1)
F. (-2, -1)

Answers

Answer: (2,1) (4,2) (-2,-1)

Step-by-step explanation:

thats apex, my dude

Answer:

Option A, C, F are the correct options.

Step-by-step explanation:

The given equation of line is [tex]y=\frac{1}{2}x[/tex]

Now we will plug in the values of points and validate the equation.

Option A. (2, 1)

[tex]y=\frac{1}{2}x[/tex]

[tex]1=\frac{2}{2}=1[/tex]

So this points lies on the given equation of line.

Option B. (3, 15)

[tex]15\neq \frac{3}{2}[/tex]

So the point is not on the line.

Option C. (4, 2)

[tex]2=\frac{4}{2}=2[/tex]

Point lies on the line.

Option D. (3, 6)

[tex]6\neq \frac{3}{2}[/tex]

Therefore point is not on the line.

Option E. (-2, 1)

[tex]1\neq \frac{-2}{2}[/tex]

Point does not lie on the line.

Option F. (-2, -1)

[tex]-1=\frac{-2}{2}=-1[/tex]

So this point lies on the line.

There are three points (2, 1), (4, 2) and (-2, -1) are on the line.

The equation y=-5.131x^2 31.821x-3.333 approximates the number of people standing in line to catch commuter train x hours after 5am what is the best estimate for the number of people in line at 9am

Answers

41 is the best estimate for the number of people in line at 9am

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

y equal to minus five point one three one x square plus Thirty one point eight two one x minus three point three three three.

y=-5.131x²+ 31.821x-3.333 approximates the number of people standing in line to catch commuter train x hours after 5am.

There is 4 hours in between 9 am and 5 am. so x=4

Substitute x=4 into the equation

y=-5.131(4)²+ 31.821(4)-3.333

y=-5.131(16)+127.284-3.333

y=-82.096+127.284-3.333

y=41.855

Hence 41 is the best estimate for the number of people in line at 9am

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Take a look at the figure. What is the first step you should take to solve the formula? 
A. Find the value of 6 squared.   B. Cancel 6 into 6.   C. Subtract 2 from 3.   D. Multiply 3 by 6.

Answers

you have to find the value of six squared.
Well, to simply this expression, you would follow the Order of Operations, which is

1) Parenthesis
2) Exponents
3) Multiply OR Divide from right to left
4) Add OR Subtract from right to left

Since there are no Parenthesis, you'd move to Exponents as we have one of those, so doing 6^2 is your first step, which is choice A.

So, A is your answer.

Hope this helps,

Brian

Create an algebraic expression or equation that might model any of the behaviors you observe. Then, explain your reasoning.

Answers

If we are talking about human behaviors, one can say that if we add a diet full of fat and sugars, plus no physical exercise, plus lots of hours watching television the total result will be equal to obesity, diabetes and high cholesterol.

A student has some 1 bills and $5 bills in his wallet. he has a total of 15 bills that are worth $47. how many of each type of bill does he have?

Answers

*Given
Total number of bills    - 15
Total value of the bills - $47
Bills                             - $1 and $5

*Solution
Let:
  x - number of $1 bills
  y - number of $5 bills

1. The total number of bills comprising of $1 and $5 bills is 15. Thus, 

                         x + y = 15                                      (EQUATION 1)

2. The total value of the bills is $47. Thus, 
 
                   $1 (x) + $5 (y) = $47                           (EQUATION 2)

3. There are 2 ways to solve this (system of linear equations) mathematically. You can use the elimination method or the substitution method. Using the elimination method to eliminate the variable x... (subtract Equation 1 from Equation 2)

                    1x      +   5y      = 47
                 _
                     x       +     y      = 15
                     0       +   4y      = 32

4. Thus, the value of y, which is the number of $5 bills is, 

                     4y       =   32 
                      4              4

                      y       =    8

5. The number of $1 bills (x) can then be solved using either Equations 1 or         2. Using Equation 1 to determine x, 
 
                         x + y = 15    
                               x = 15 - y
                               x = 15 - 8
                               x = 7

From the solution, we have determined that there are 8 pieces of $5 bills and 7 pieces of $1 bills. 

Answer:

B. seven $1 bills and eight $5 bills.

Step-by-step explanation:

n = number of $1 bills

m = number of $5 bills

 

Given:

 

n + m = 15

n($1) + m($5) = $47

 

Just solve 2 equations in 2 unknowns n and m:

 

(i)  n + m = 15

(ii) n + 5m = 47

 

Subtract (i) from (ii) and get

 

4m = 32

m = 32/4 = 8

 

Then from (i) get

 

n = 15 - m = 15 - 8 = 7

 

There are 7 $1 bills and 8 $5 bills.

Find an equation of the vertical line that passes through (x, y) = (−7, 1).

Answers

The answer would be x=-7

what is the slope of the line (2,5) and 7,25)

Answers

To get slope from these two points, you have to do

25-5 divided by 7-2.
20 divided by 5
=4

The slope of the line would be 4.

Please help me with 3 math questions!!! I will give 30 points and brainliest to whoever answers the best!

1. Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

ƒ -1(x) = (answer) x (answer)(answer)

ƒ -1(4) = (answer)

2. Match each function with the expression representing its inverse function. Match one of the numbers with the correct letter.
1. y = x - 4
2. g(x) = -0.5x
3. k(x) = x
4. p(x) = x + 4
5. h(x) = 4x
6. ƒ(x) = x/2

a. 2x
b. x + 4
c. x - 4
d. -2x
e. 0.25x
f. x

3. The graph of a function g is shown below.

Find its inverse.
(picture below, my answer is NOT correct)

Answers

to find inverse, switch x and f(x) and solve for the new f(x), the new f(x) is the inverse. 
original function: f(x)=(1/2)x+4
switch: x=(1/2)f(x)+4
f(x)=2x-8, this is the answer for question 1

answer for question 2: 1-b, 2-d, 3-f, 4-c, 5-e, 6-a

question 3
From the given graph, we know the slope is 2/5, the y intercept is -2, so the original function is f(x)=(2/5)x-2
switch x and f(x): x=(2/5)f(x)-2
solve for f(x): (2/5)f(x)=x+2
multiply both side by 5/2: f(x)=(5/2)x+5,
so the second choice is the correct answer.




what are the angle measures of the triangle? a)30, 60, and 90 b)45, 45, and 90 c)60,60,and 60 d)they cannot be determined.

Answers

the right answer is actually 30,60,90, I got the answer right on the test

The measures of the angles are 30°, 60°, and 90° for the given right triangle. The correct answer would be option (A).

What is right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the figure, as shown.

According to the figure,  

perpendicular = 7√3

hypotenuse = 14√3

As per the question, we have

Since sin θ = perpendicular/hypotenuse

Substitute the values in the above formula, and we get

sin θ = 7√3/14√3

sin θ = 1/2

θ = 30°

This means the measures of the angles are 30°, 60°, and 90°.

Hence, the correct answer would be an option (A).

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The question seems to be incomplete, the missing part has been attached below.

Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number

Answers

Two Consecutive Odd Numbers: D, D+2

(D+2) + 2D = 4D - 27
D + 2 + 2D = 4D - 27
3D + 2 = 4D - 27
3D + 29 = 4D
29 = D

Two Consecutive Odd Numbers are 29, 31

Check. . 31 + 2(29) = 4(29) - 27
..................31 + 58 = 116 - 27
.................89 = 89 ..... CORRECT!

Lindsey has 45ft of metal fencing to form 3 sides of a rectangular garden. A tall wooden fence already in place will serve as the fourth side. What lengths of fencing will produce the largest area?

Answers

To answer this item, we let L be the length and W be the width. The area of the rectangles is calculated through the equation,

           Area = L x W

From the given scenario, we can deduced that,
              L + 2W = 48 

Such that L = 48 - 2W.

Substituting this to the equation for area,
           Area = (48 - 2W)(W)

Simplifying,
            Area = 48W - 2W²

Differentiating and equating to zero,
             dArea = 48 - 4W = 0

The value of W from the equation is 12. Hence,
           L = 48 - 2W = 48 - 2(12) = 24

The dimensions are:
             Length = 24 ft
              Width = 12 ft
Final answer:

To maximize the area of a rectangular garden with one side already fenced, Lindsey should allocate the 45 ft of fencing available to form the remaining three sides in a way that makes the two lengths and the width as equal as possible. While an exact numerical answer depends on additional constraints, the guiding principle is that a more square-like configuration will yield the largest area.

Explanation:

The question asks what lengths of fencing will produce the largest area for a rectangular garden, given that Lindsey has 45 ft of metal fencing and an existing tall wooden fence will serve as one side of the rectangle. To maximize the area enclosed by a given perimeter, which in this case is the length of the fencing available for three sides of the rectangle (since one side is already in place), it is beneficial to review a principle regarding geometric figures and their areas.

It is a well-established mathematical principle that of all rectangles with a given perimeter, the square has the largest area. However, since one side is already provided and Lindsey is forming only three sides of the rectangle, the problem slightly deviates from forming a perfect square. Nonetheless, the principle that more equidistant lengths result in larger areas can guide us to maximize the area Lindsey can enclose.

Lindsey has 45 ft of fencing to create three sides of a rectangle. For simplicity, let's denote the lengths of the two equal sides as L, and the length of the third side (parallel to the existing fence) as W. Since the total length of fencing is 45 ft, the equation we have is 2L + W = 45. To maximize the area (A = L*W), Lindsey should opt for dimensions where L and W are as close as possible to each other within the constraint of the given perimeter (or in this case, the total length of fencing available).

However, without additional constraints (like the length of the existing fence), a definitive numerical answer cannot be provided. The general advice for Lindsey is to distribute the length of the fencing as evenly as possible between the two lengths and the width she needs to create, thereby approximating a square's dimensions which tends to maximize the enclosed area.

Write the quadratic function with the following transformations: vertical shrink by 3, left 4, down 9.

Answers

y=x^2
y=1/3(x+4)^2-9
Hope this helps

What is the equation of a line perpendicular to the line 7x+4y=15+2x and passes through the point (0.5,0.5)?

Answers

4y=-5x+15
y=-5/4x+15/4
y-1/2=4/5(x-1/2)
y-1/2=4/5x-2/5
y-5/10=4/5x-4/10
y=4/5x+1/10

a major stadium has 45,000 seats. fans bought 5/8 of the seats. how many seats are left?

Answers

fans bought 5/8 so there is 3/8 still left

45000 * 3/8 = 16,875 seats are left

5/8 of 45,000=28,125

45,000-28,125=16,875 seats where left 

Helpppppppppppppppppppppppppppppp

Answers

replace the numbers inside () for x

 f(4) = -4(4)-3 = -16 -3 = -19

G(-4) = 2(-4)^2 -3(-4) = 44

Which description matches the algebraic expression 45n

A.the sum of a number and 45
B. the quotient of a number and 45
C. the product of a number and 45
D. the difference of a number and 45

Answers

C is the correct answer

Answer:  The correct description is (C). the product of a number and 45.

Step-by-step explanation:  We are given to select the correct description that matches the algebraic expression 45n.

Let, 'n' be a number.

Then, the sum of 'n' and 45 is written as (45 + n).

So, option (A) is incorrect.

The quotient of 'n' and 45 is given by [tex]\dfrac{n}{45}~\textup{or}~\dfrac{45}{n}.[/tex]

So, option (B) is incorrect.

The product of 'n' and 45 is

45 × n = 45n, which means 45 times of a number 'n' or n times of 45.

So, option (C) is correct.

The difference of 'n' and 45 is (n - 45) or (45 - n), according as 'n' is greater or 45 is greater.

So, option (D) is incorrect.

Thus, the correct option is (C).

If r^n=a, then which of the following are true statements? Check all that apply.

a. a^1/n=r b. a^r=n c. n sq a =r d. n^1/r=a

Answers

a. This is correct. When you transfer n to the other side, that would be the reciprocal power of a.

b. This is incorrect, because this contradicts with choice a.

c. This is correct. When a number is raised to a "1/n" fraction, that is equivalent to the nth root of the number.

d. This is incorrect, because it is not equivalent to the given equation.

Thus, the answers are A and C.

Can you check if I did this right? (:

Answers

The graph looks accurate make sure you create a table of values and clearly dot the points at (0,-3) and (2,-3).
That's right! If you want to graph it with five points instead of 2, you can also find the y-intercept and reflect it across the line of symmetry. That would give you the points (0,-3) and (2,-3).
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