Write an equation in point-slope form of the line through point J(4, -4) with slope 4.

a. y+4=4(x+4)
b. y+4=4(x-4)
c. y-4=4(x+4)
d. y+4=-4(x-4)

Answers

Answer 1
Point Slope form is
y - y1 = m(x-x1)
where,
m = slope
x1 = x coordinate of point the line goes through
y1 = y coordinate of point the line goes through

In this case, 
m = 4
x1 = 4
y1 = -4

So,
y - y1 = m(x - x1)
y - y1 = 4(x - x1) ... replace m with 4
y - y1 = 4(x - 4) ... replace x1 with 4
y - (-4) = 4(x - 4) ... replace y1 with -4
y + 4 = 4(x - 4) ... rewrite y-(-4) as y+4

Making the answer to be choice B
Answer 2
Your answer is option c.

Related Questions

What is 41.925 as a mixed number in simplest form?

Answers

The answer is 41 37/40.

A perpendicular bisector intersects a segment at a right angle. Which of the following objects can a perpendicular bisector be? A. Ray, line, or line segment B. Line segment C. Ray D. Line or line segment

Answers

The answer is A, because all of those options could be bisectors

Answer with explanation:

    The meaning of Perpendicular Bisector is ,to divide the segment into two equal parts , and angle between given segment and either ray or line or line segment which is used as perpendicular bisector has measure of angle equal to 90°.

A ray has a end point ,and other end goes infinitely in other direction.

A line has no end point in either direction.It goes till infinitely in both direction.

A segment has both ends fixed,does not go till infinity in either direction.

The perpendicular bisector can be any of the following:

 A.Ray, line, or line segment

You arrive in my class 45 seconds after leaving math which is 90 meters away

Answers

If you are looking for the average speed, it is 2m/1 sec.

You traveled the 90 meters in 45 seconds at a speed of 2 meters per second.

Speed = Distance / Time

Given:

Distance = 90 metersTime = 45 seconds

We can now calculate the speed:

Speed = 90 meters / 45 seconds

            = 2 meters/second

This means you traveled at a speed of 2 meters per second to get from your math class to the next class.

Complete Question:

You arrive in my class 45 seconds after leaving math which is 90 meters away. Find speed.

The root x = 1 has multiplicity 3 for the function f(x)=x^3-x^2-x+1. True or false

Answers

x^3 - x^2 - x + 1 = 0
Plug in x = 1:-
1 -1 - 1 + 1 = 2 - 2 = 0  so x =1 is a root.

If it has multiplicity 3 then  the function will factor to (x - 1)^3:-

(x - 1)^3 = (x - 1)(x^2 - 2x + 1) =  x^3 - 2x^2  + x - x^2 + 2x - 1 
             
 =  x^3 - 3x^2 + 3x - 1  so it is FALSE

Final answer:

The root x = 1 has multiplicity 3 for the function f(x) = x³ - x² - x + 1.

Explanation:

The statement is true.

A root of a polynomial function has a multiplicity equal to the number of times it appears as a factor in the polynomial. In this case, the root x = 1 appears three times as a factor in the function f(x) = x³ - x² - x + 1. Therefore, it has a multiplicity of 3.

In how many ways can Jasmine draw a blue or a yellow marble from a jar containing 28 blue marbles and 7 yellow marbles?

Answers

i would say four times she will

PLEASE HELP ASAP:))) I WILL GIVE YOU BRAINLEST ANWSER

(use the graph)

The picture below shows the dependence of the breaking distance on its speed on a dry road (curve OA), on a wet road (curve OB), on an icy road (curve OT). Answer the following questions:

a) What is the breaking distance of the car at a speed of 50 kilometers per hour in each case?
On a dry road : m
On a wet road : m
On an icy road : m

b) What should be the car’s speed in all three cases so that the breaking distance doesn’t exceed 60 meters?

On a dry road : the highest speed should be km/h
On a wet road : the highest speed should be km/h
On an icy road : km/h

Answers

Velocity, in km/hr is the x-axis.
Breaking distance "s" in meters is on the y-axis.
Each curved line represents the different road conditions.

for (a.) find the y-coordinate for each
Dry, curve A. follow the 50km/hr up to the curve and see it corresponds to about 30 m
Wet road, curve B. follow the 50km/hr mark up to see it corresponds to 80 m
Icey, curve T is 140 m

for (b.) they give you the breaking distance on the y-axis to find the corresponding speeds for each road condition. Follow the 60 m mark across to find each x-coordinate,.
Dry curve A, 70 km/hr
Wet curve B, about 45 km/hr
Icey curve T, 30 km/hr

Which of the following is the linear parent function

Answers

The linear parent function is Choice C. because, for y=x or x=y, the slope (rate of change) is constant. 

Answer:

Option C is correct linear parent function.

Step-by-step explanation:

We need to choose from the option as a linear parent function.

We will look each option and explain each one.

Option A: [tex]f(x)=|x|[/tex]

Here we have absolute sign on x. It is parent function of absolute function.

Option B: [tex]f(x)=x^2[/tex]

Here we have square on x. It is parent function of quadratic or parabola.

Option C: [tex]f(x)=x[/tex]

It is parent function of linear because exponent of x is 1 and coefficient of x is 1.

Option D: [tex]f(x)=2x[/tex]

It is linear function but not parent because coefficient of x is not 1.

Hence, Option C is correct linear parent function.

The temperature of dry ice is −109.3°f−109.3°f. this is 184.9°f184.9°f less than the outside temperature. write and solve an equation to find the outside temperature tt (in degrees fahrenheit).

Answers

Final answer:

To find the outside temperature T when the temperature of dry ice is -109.3°F, and it is 184.9°F less than the outside temperature, we simply need to add those two numbers. The outside temperature T is found to be 75.6°F.

Explanation:

The student is asked to find the outside temperature T given that the temperature of dry ice is −109.3°F. The temperature of dry ice is 184.9°F less than the outside temperature. To find the outside temperature, we can set up the following equation:

T = (-109.3°F) + 184.9°F

Now, we simply add the two numbers to solve for T:

T = 75.6°F

The calculation shows that the outside temperature T is 75.6°F.

what is the solution to this equation? 4x^2+98=0

Answers

There is no real solution

Follow below steps;

The equation to solve is 4x² + 98 = 0.

1. Subtract 98 from both sides to get 4x² = -98.

2. Divide by 4 to obtain x² = -24.5.

3. Take the square root, remembering that √(-1) = i, so x = ±√24.5i.

There are 15 tennis balls in a box, of which 9 have not previously been used. three of the balls are randomly chosen, played with, and then returned to the box. later, another 3 balls are randomly chosen from the box. find the probability that none of these balls has ever been used

Answers

Final answer:

The probability that none of the balls have been previously used is 20.96%.

Explanation:

To find the probability that none of the three balls selected have ever been used, we first calculate the probability of selecting a ball that has not been used each time.

Initially, there are 15 balls in total, out of which 9 have not been used. So, the probability of selecting a ball that has not been used on the first draw is 9/15.

After the first draw, the number of balls in the box remains the same, but the number of unused balls decreases to 8. So, the probability of selecting a ball that has not been used on the second draw is 8/15.

Similarly, for the third draw, the probability of selecting a ball that has not been used is 7/15.

Since the balls are chosen randomly and returned to the box after each draw, the probabilities are independent. Therefore, to find the probability that none of the balls have ever been used, we multiply the probabilities of each draw:

(9/15) x (8/15) x (7/15) = 0.2096, or approximately 20.96%.

What is the average speed of a cheetah that runs 90 meters in 2.8 seconds?

Answers

the average speed is 32.14

the recommended dosage of a drug for pediatric patients is 200 mg per kilogram of a patients weight if janine weights 76lb how much of the drug should she get

Answers

To determine the dosage of a drug for Janine, who weighs 76 pounds, convert her weight to kilograms and then multiply by the recommended dose per kilogram. The conversion and the dose calculation led to approximately 6894.6 mg of the drug.

The recommended dosage of a drug for pediatric patients is 200 mg per kilogram of the patient's weight. To calculate the dosage for Janine, who weighs 76 pounds, we first need to convert her weight from pounds to kilograms, as dosages are usually measured in metric units. To do so, we use the conversion factor where 1 kilogram equals 2.20462 pounds.

First, we convert Janine's weight to kilograms:
[tex]\frac{76}{2.20462}[/tex] lb/kg = 34.473 kg roughly.

Next, we calculate the total dosage needed in milligrams by multiplying her weight in kilograms by the dosage per kilogram:
34.473 kg * 200 mg/kg = 6894.6 mg.

Therefore, Janine should receive a dose of approximately 6894.6 mg of the drug.

How much money should a student place in a time deposit in a bank that pays 1.1% compounded annually so that he will have Php 200,000.00 after 6 yrs?

Answers

Let us say that:
   P = present value
   F = future value
    i = interest rate
   n = period

P = F / [ (1 + i ) ^n ]
P = 200000 / [ (1 + 0.011) ^6 ]
P = 187293.65

Therefore the student must put up Php 187,293.65

if f(x)= 5x +40 what is f(x) when x= -5

Answers

To find the answer, you would substitute -5 in for each x. The equation would look like this: f(x)=5(-5)+40. The answer is 15. Hope this helps!
f(-5)=5(-5)+40
f(-25)=5+40.
f(-25) is your answer.

let f(x)=3x^2-x+2 and g(x)= 5x^2-1. find f(g(x))

Answers

Answer:

15x^4-5x^2+1

Step-by-step explanation:

g(x)=5x^2-1 and f(x)=3x^2-x+2

f(g(x))would mean that g(x) would be x in f(x).

So f(g(x) would be 15x^4-3-5x^2+1+2

simplified would be 15x^4-5x^2+1

if *(pic below)* complete the following statement
f(6)=___

Answers

For f(x), 6 represents x here, so we plug 6 in for x to get 2*6²+5√(6-2). Using PEMDAS, we get 72+5√4=72+5*2=72+10=82

John has on his shelf four books of poetry, four novels, and two reference works. suppose from these ten books, we were to pick two books at random. what is the probability that we pick one novel and one reference work? (a) 1/2

Answers

I would say 4/10=2/5

The probability isf 8/45.

Probability calculation:

Calculate the total number of ways to pick 2 books from the 10 books, which is 10 choose 2 = 45.

Calculate the number of ways to pick 1 novel and 1 reference work, which is 4 choose 1 for novels * 2 choose 1 for reference works = 8.

Divide the number of favorable outcomes by the total outcomes to get the probability: 8/45 = 8/45.

Explain why the graph shown may be misleading. (please help)

Answers

because the trucks are huge but there are only two  and the key says 1=10 so even though the trucks are so much bigger then the rest it acutally only 20 when the rest are higher but at first glance it makes you think there either the mos or tied for it since there so big

Identify the transformation that maps the figure onto itself.
A) rotate 180° clockwise about (8, 4) and reflect across the line y = 1
B) rotate 180° clockwise about (8, 4) and reflect across the line x = 8
C) rotate 180° clockwise about (7, 1) and reflect across the line y = 1
D) rotate 180° clockwise about (7, 1) and reflect across the line x = 8

Answers

Nombre a) is the answer
A is the answer............

What is 2 1/5, 2.25, 8/20, 2.8 all
from least to greatest

Answers

2.2 , 2.25, .4, 2.8

Order from least to greatest is
.4 2.2 2.25 2.8
2.2. 2.25. .4. 2.8


8/20, 2 1/5, 2.25, 2.8

Which angle is the included angle for DE¯¯¯¯¯ and FE¯¯¯¯¯ ?



∠D

∠E

∠F

Answers

The correct answer is: ∠E

Answer: ∠E

Step-by-step explanation:

The  included angle for [tex]\overline{DE}[/tex] and  [tex]\overline{FE}[/tex]  is [tex]\angle{E}[/tex].

The included angle for any two lines or line segments is represented by the common vertex point.

For example : The included angle for [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex] is [tex]\angle{B}[/tex] [Since B is the common end point in [tex]\overline{AB}[/tex] and  [tex]\overline{BC}[/tex] ]

Similarly, the  included angle for [tex]\overline{DE}[/tex] and  [tex]\overline{FE}[/tex]  is [tex]\angle{E}[/tex]  (Since E is the common vertex in  [tex]\overline{DE}[/tex] and  [tex]\overline{FE}[/tex] )

-7+n/5= -11 can someone help me I'm bad a math

Answers

n/5 - 7 = -11

n/5 - 7 (+7) = -11 (+7)

n/5 = -4

n/5 (5) = -4(5)

n = -20

hope this helps
The answer is n = -20. To check do pemdas.
-20 / 5 = -4.
-7 + -4 = -11
So, your answer is -20.

Hope I helped! ☺♥

Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant? The equation __ models the scenario. Hans will plant ___ snapdragons.

Answers

The table is:

Number of                     Number of
snapdragons, x             daisies, y

11                                  34

12                                  33

13                                  32

14                                 31

From that you can see that starting at (11,34) the daisies, y, decreases, per each unit of snapgragons increase.

=> slope ( -1), point (11,34).

So, using the slope - point equation you find

y - 34 = - 1 * (x - 11)

=> y = - x + 11 + 34

=> y = - x + 45

To plan 29 daisies he needs to plan  y = - 29 + 45 = 16 dragons.

Answer: The equation y = - x + 45 models the scenario. Hans will plant 16 snapdragons.

Answer:

the equation: x=45-y . models the scenario

Hans will plant: 16 . snapdragons

Step-by-step explanation:

did it on edge 2021

What is the x-intercept of the function graphed below?

Answers

Answer C (-8,0)

because the line crosses the x-intercept (the horizontal line)

Answer:

Option C is correct

(-8, 0)

Step-by-step explanation:

x-intercept:

The point where function cuts x-axis that is point where y = 0.

Given that:

A graph with equation of line.

we have to find the find the  x-intercept of the function graphed.

By definition of x-intercept.

From the given graph,

it can be seen clearly that the given line crosses that x-axis at (-8, 0)

⇒x-intercept = (-8, 0)

Therefore, the x-intercept of the function graphed is, (-8, 0)

How many diagonals can be drawn from one vertex of a hexagon

Answers

the hexagon has 6 vertices with 3 diagonals which gives you 18 divided by 2 = 9 diagonals

Nine diagonals can be drawn from the vertex of a hexagon.

What is diagonal?

A diagonal of a polygon is a line segment joining two vertex points, excluding the sides of the polygon.

The formula used to find the number of diagonals of a polygon is

(n(n-3))/2

where n is the number of sides of the polygon.

A hexagon has six sides. So, n=6.

The number of diagonals in a hexagon is given by

(6(6-3))/2=9

Hence, a hexagon has nine diagonals.

To learn more about diagonals, use the link given below:

https://brainly.com/question/12274248

#SPJ2

Felicia put $8500 into a CD that pays 2.8% interest compounded semiannual. According to the rule of 72, approximately how long will it take for her money to double ?

Answers

25.7 years The rule of 72 is a simple approximation on how long it will take to double your money. You simply divide 72 by the interest rate and you'll have your estimate on the number of years it will take. So 72 / 2.8 = 25.7 years. To demonstrate that it's just an estimate, you can take the log of 2 and divide by the log of 1.028 to get the exact value. This far more complicated calculation gives the result of 25.1 years. And to be honest, the estimate of 25.7 years is more than close enough for such an quick and easy rule of thumb.

Plz help! Identify which operation will undo the operation in the equation (i.e. if you are given a ______________________, then you divide. If you are given ______________, then you multiply them)

Answers

if ur given multiplication, then u divide
if ur given division, then u multiply

What is the value of x in the equation below?

–3 – (–8) – (–2) = x

Answers

If I'm not mistaken (it's been a while since I was in school) I believe the answer is x=11.


The answer would be x=7

solve 18x-17y=-8 this is linear equations slope intercept form

Answers

18x-17y=-8
17y = 18x + 8
    y = 18/17x + 8/17 ..............slope intercept form

Use implicit differentiation to find the slope of the tangent line to the curve 4 x^2 - 3 xy + 4 y^3 = -113 at the point ( -1,-3 ).

Answers

f'(x, y) = 8x -3xydy/dx +12y²dy/dx = 0
(12y² -3xy)dy/dx = -8x
dy/dx = -8x/[12y² -3xy]
dy/dx |(x=-1 , y=-3) : = -8(-1)/[12(-3)² - 3(-1)(-3)]
= 8/[108 -9]
=8/99
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