Write the equation of the line that passes through the point (-4, -2) and is parallel to the line

Write The Equation Of The Line That Passes Through The Point (-4, -2) And Is Parallel To The Line

Answers

Answer 1

Answer:

THIRD OPTION

Step-by-step explanation:

The line admits a slope equal to the line

so, slope=1/4

It passes through (-4,-2), so the coordinates satisfy the equation

-2=-4/4+b

-2=-1+b

b=-2+1=-1

y=1/4x-1


Related Questions

What percent of 518 is 180? Round to the nearest whole #​

Answers

if we take 518 to be the 100%, what is 180 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 518&100\\ 180&x \end{array}\implies \cfrac{518}{180}=\cfrac{100}{x}\implies \cfrac{259}{90}=\cfrac{100}{x} \\\\\\ 259x=9000\implies x=\cfrac{9000}{259}\implies x\approx 35[/tex]



Keith fills an aquarium to a depth of

3/4

meters in 1 1/5

minutes.

What is the unit rate in minutes per meter?

Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

  1 3/5 minutes per meter

Step-by-step explanation:

To find the rate in minutes per meter, divide the given minutes by the given meters:

  (1 1/5 min)/(3/4 m) = (6/5)×(4/3) min/m = 8/5 min/m

  = 1 3/5 minutes per meter

Classify/name the shape based on the number of sides and markings.
Hint: Two Words

Answers

I believe this is an equilateral octagon. There are eight sides and they all have a dash, indicating equality. Hope this is helpful and accurate! :)
They are right it is an equilateral octagon

Can someone give me the answer please.

Answers

Answer:

11 17/21= 11[tex]\frac{17}{21}[/tex]

Step-by-step explanation:

A costume closet contains 8 dresses, 3 shirts, 5 pairs of pants, and 4 hats. What is the probability of randomly selecting a hat from the costume closet

Answers

Answer:

I would say that it's a 1/4 chance.

Step-by-step explanation:

So...

I added the numbers

And got that

I'm sorry if it didn't help

Graph the function f(x) = – 4(x + 4)2 square + 7.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

Answers

Vertex at (-4,7)

Graph attached

Answer:

vertex = (-4, 7)

(-3, 3) and (-2, -9)

(-6, -9) and (-5, 3)

Step-by-step explanation:

Given function:  [tex]f(x) = -4(x + 4)^2 + 7[/tex]

Vertex form of a quadratic function:  [tex]f(x)=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)

From inspection, we can see that the given function is in vertex form.

h = -4 and k = 7

Therefore, the vertex is at (-4, 7)

As [tex]a[/tex] is negative, the parabola will open downwards.

When graphing functions, it is useful to determine the axis intercepts.

The curve will intercept the y-axis when x = 0.

Substituting x = 0 into the function:

[tex]f(0) = -4(0 + 4)^2 + 7=-57[/tex]

Therefore, the y-intercept is at (0, -57)

**cannot plot this on the given graph area as it is out of range**

The curve will intercept the x-axis when y = 0.

Setting the function to 0 and solving for x:

[tex]-4(x + 4)^2 + 7=0[/tex]

[tex]\implies -4(x + 4)^2=-7[/tex]

[tex]\implies (x + 4)^2=\dfrac74[/tex]

[tex]\implies x+4=\pm\sqrt{\dfrac74}[/tex]

[tex]\implies x=-4\pm\dfrac{\sqrt{7}}{2}[/tex]

Therefore, the x-intercepts are at (-2.7, 0) and (-5.3, 0) to 1 dp.

Finally, input values of x either sides of the x-intercepts for further plot points:

(-3, 3) and (-2, -9)

(-6, -9) and (-5, 3)

how to say hi pls i need to know

Answers

Answer:

Step 1.

Say "hi"

k that's it

Answer:

U just say hey

Step-by-step explanation:

hope this helped

Pls, choose me as brainliest!

If the base of a square building and an equilateral triangle building have the same perimeter,
how do the areas of their floors compare?

Answers

The relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]

How to compare the areas?

Let the side length of the base of the square building be l, and the side length of the base of the equilateral triangle building be s

So, the perimeter of both buildings is

P = 4l --- the squareP = 3s --- the equilateral triangle

Both perimeters are equal.

So, we have:

4l = 3s

Divide both sides by 4

[tex]l = \frac 34s[/tex]

Square both sides

[tex]l^2 = \frac{9}{16}s\²[/tex]

The area of an equilateral triangle is:

[tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]

And the area of a square is

[tex]A_s = l^2[/tex]

Make s^2 the subject in [tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]

[tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex]

Substitute [tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex] and [tex]A_s = l^2[/tex] in [tex]l^2 = \frac{9}{16}s\²[/tex]

[tex]A_s = \frac{9}{16} * \frac{4A_t}{\sqrt 3}[/tex]

Evaluate

[tex]A_s = \frac{9}{4} * \frac{A_t}{\sqrt 3}[/tex]

Rationalize

[tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]

Hence, the relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]

Read more about perimeter and area at:

https://brainly.com/question/24571594

please help ASAP!!!!!​

Answers

Answer:

that would be 26

Step-by-step explanation:

you got this!

The formula below gives the monthly payment m needed to pay off a loan of P dollars atr
percent annual interest over N months, Which of the following gives P in terms of m, r, and N?

Answers

Answer:

This day is going to be perfect

The kind of day of which I dreamed since I was small

Everypony will gather round

Say I look lovely in my gown

What they don't know is that I have fooled them all

Step-by-step explanation:

Please help I will give brainliest.

Answers

Answer:

24(6) </= 200

Step-by-step explanation:

24(6) is less than or equal to 200 notepads, that are needed. Which is actually true. 144 is less than or equal to 200.

what is 3c2+ 2c- 16?
factoring​

Answers

Answer:

( c - 2 ) ( 3c + 8 )

Solution:

In the given question, we have to factorise the equation:

3c² + 2c - 16

Therefore, by using the middle term splitting method:

This method is used in equations which are in the form of ax² + bx + c. Here, we split the middle term into two terms which on multiplying gives ac and on adding or subtracting gives bx .

➙ 3c² + 2c -16

➙ 3c² - 6c + 8c - 16

➙ ( 3c² - 6c )+ (8c - 16 )

➙ 3c( c - 2 ) + 8 ( c - 2 )

➙ ( c - 2 ) ( 3c + 8 )

Factorisation of a quadratic polynomial of the type ax² + bx + c where (a ≠ 1) .

To factorise ax² + bx + c, we have to find two numbers whose sum is equal to the coefficient of x and product is equal to the coefficient of x² and constant term.

Consider the factorisation of 3c² + 2c – 16 .

We have to find two numbers whose sum is +2 and product (3 × 16) = 48 .

Obviously, the two numbers are 6 and 8 .

[tex]{ \qquad \sf { \dashrightarrow{ 3c {}^{2} + 2c - 16 }}}[/tex]

So, We can write it as,

[tex]{ \qquad \sf { \dashrightarrow{ 3c {}^{2} + 8c - 6c - 16 }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ c (3c + 8) -2 (3c + 8) }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ ( c -2 )(3c + 8) }}}[/tex]

You stand at point C and look at an aquarium tank. Calculate the radius of the aquarium tank.

Answers

The radius of the aquarium tank is 8.25

a like goes through the point (-4,-6) and the point (10,1) write the equation of the line intercept form

A.y=-2x+4
B.y=2x-4
C. y=1/2x-4
D.y=-1/2x-4

Answers

Answer:

I IM NOT 100 PERCENT BUT IT MIGHT BE A

Step-by-step explanation:

i think it might be B

because first, u do slope formula y2-y1 and x2-x1 so 1-(-6) and 10-1

then u get 7/14 which is 2 and then plug in the numbers like -4=2(-6)+b

and then you add 12 to -4 and get 8=b I think after this u divide and get 4

What is the remainder when dividing the sum (2001 + 2002 + 2003 + 2004 + 2005) by 2004?

Answers

Answer:

4.99750499002

Step-by-step explanation:

Answer:

1984

Step-by-step explanation:

(2001 + 2002 + 2003 + 2004 + 2005) by 2004

10015/2004

4 remainder 1984

Hope this helps!

PLEASE EXPLAIN HOW TO DO THIS

Answers

The volume of any rectangular prism is length*width*height.

Based on the diagram:
length: 9km
width: 9km
height: 3km

9*9*3=243 km^3 (aka answer choice B)

100 points!!!! Whatbis the simplest form of x4y7/3√x10y4

Answers

Answer:

The last one.

Step-by-step explanation:

Answer:

y^5 cubed root x^2 y^2

Step-by-step explanation:

edge 2023

My bowling average for four games was 160.
Two of my games were 155 and 169.
What was the average of my other two games?

Answers

Answer:

Step-by-step explanation:

The average of 4 games was 160.  The average consists of the sum of all the scores, divided by 4:

(Sum of Games)/4

Sum of 2 games is (155 + 169) = 324

Lets let the sum of the two unknown  games be x.

(234 + x)/4 = 160

(234 + x) = 640

x = 316

x consists of 2 games, so their average is (316/2) = 158 per game for the other 2 games.

===============

Check:

(155+169+158+158)/4

(640/4) = 160 average for all games.

A bookstore has a shelf that is 27 1/2 inches long. Each book is 1 1/4 inches thick. How many books can fit on shelf

Answers

Answer:

34.375

Step-by-step explanation:

You first have to count and see how many times the selected number goes into the whole number

27.5 / 1 1/4 = 34.375 and if we remove the extra decimal 34.37

Solve for the equation -72 =8(y-3) show your work PLS HELP ME ASAP!!!!!!!!!!

Answers

Answer: y=-6

Explanation:
-72=8(y-3).
-72=8y-24. expand the bracket
-48=8y. add 24 on each side
y=-6. divide by 8

A computer's normal price is $1400. The shop is now offering $130 discount. How many percent is the discount

Answers

Answer:

9% discount (i think im not the best at percentages sorry)

Step-by-step explanation:

since we already know how much we are getting off of the original price, we dont have to subtract anything

so you would divide this price, 130, from 1400

130/1400= 0.0928

then you would have to muliply this number by 100

0.0928 x 100= 9.28

and you would just round to the nearest number which is 9

i hope this is right sorry if it isnt

Question: A computer's normal price is $1400. The shop is now offering $130 discount. How many percent is the discount

Answer : 90.7%

Determine the amount of money in a money market account providing an annual rate of 6.5 % compounded daily if the invested amount of $3,500 is left in the account for 5 years .

Answers

Answer:

this is the answer for the question=$4795.30

A school principal is buying chairs and desks from a furniture supplier.
The chairs cost $110 each.
The desks cost $70 each.
The principal wants to buy at least 100 pieces of furniture.
The principal wants to spend no more than $9,400.
Which system of inequalities can be used to determine the possible numbers of chairs, c, and desks, d, the principal can buy?
Jc+ds 100
110c + 70d 29,400
6
c+d s 100
70c + 110d 29,400
c+d2 100
moog10/0
d
100
70c + 110d s 9,400

Answers

Answer:

I think the answer would be C!

Step-by-step explanation:

I am taking the test now, I think that would be the only one that makes sense. I am sorry if I am wrong.

Vicky got her hair cut at Great Clips. She was quite pleased with her service so she left a 25% tip for her hair dresser which was $4.75. What is the cost of a hair cut at Great Clips?​

Answers

Answer:

19

Step-by-step explanation:

4.75 x 4 = 19

19 dollars for the haircut

Have an amazing day!

PLEASE RATE!

let a and b be the roots of the equation x^2-2(p+1)x+p^2+8=0. If the absolute value of the difference of a and b equals to 2. find p

Answers

Answer:

4

Step-by-step explanation:

a and B are the roots of

[tex] {x}^{2} - 2(p + 1)x + {p}^{2} + 8 = 0[/tex]

[tex] {x}^{2} - 2px - 2x + {p}^{2} + 8 = 0[/tex]

This look like a parabola since p will be a constant so let use a quadratic formula

[tex] {x}^{2} -(2p + 2)x + {p}^{2} + 8 = 0[/tex]

[tex]2p + 2± \frac{ \sqrt{4 {p}^{2} + 8p + 4 - (4 {p}^{2} + 32) } }{2} [/tex]

[tex]2p + 2± \frac{ \sqrt{8p - 28} }{2} [/tex]

[tex]2p + 2± \frac{2 \sqrt{2p - 7} }{2} [/tex]

[tex]2p + 2± \sqrt{2p - 7} [/tex]

So the roots are

[tex]2p + 2 + \sqrt{2p - 7} [/tex]

and

[tex]2p + 2 - \sqrt{2p - 7} [/tex]

We know the distance between these two points are

2 so

[tex] |(2p + 2) + \sqrt{2p - 7} - (2p + 2) - \sqrt{2p - 7} | = 2[/tex]

[tex] | \sqrt{2p - 7} + \sqrt{2p - 7} | = 2[/tex]

[tex] |2 \sqrt{2p - 7} | = 2[/tex]

[tex]2 \sqrt{2p - 7} = 2[/tex]

[tex]p = 4[/tex]

Let plug it in to see.

[tex] {x }^{2} - 2(4 + 1)x + {4}^{2} + 8 = 0[/tex]

[tex] {x}^{2} - 10x + 24 = 0[/tex]

[tex](x - 6)(x - 4) = 0[/tex]

[tex]x = 4[/tex]

[tex]x = 6[/tex]

So they have a distance of 2.

find the minimum or maximum value of the function. h(x)=-4x^2-4x+24

Answers

Answer:

the maxium value is 25 you can see this in the picture

Hope This Helps!!!

Which expression results when the change of base formula is applied to log subscript 4 baseline (x 2)? startfraction log (x 2) over log 4 endfraction startfraction log 4 over log (x 2) endfraction startfraction log 4 over log x 2 endfraction startfraction log x 2 over log 4 endfraction

Answers

When the change of base formula is applied to log subscript 4 baseline (x+2), the result is [tex]\dfrac{log(x+2)}{log4}[/tex].

What are the Properties of logarithms?

There are four basic properties of logarithms:

[tex]\rm log_aU+ log_aV = log_a(UV)\\\\log_aU - log_aV = log_a(\dfrac{U}{V})\\\\log_aU^n = n\ log_aU\\\\\log_ab = \dfrac{log_xb}{log_xa}\\\\[/tex]

When the change of base formula is applied to log subscript 4 baseline (x 2), the result expression will be,

[tex]\rm log_4(x+2)=\dfrac{log_{10}(x+2)}{log_{10}4}=\dfrac{log(x+2)}{log4}[/tex]

Hence, when the change of base formula is applied to log subscript 4 baseline (x+2), the result is [tex]\dfrac{log(x+2)}{log4}[/tex].

Learn more about Logarithms:

https://brainly.com/question/7302008

Answer:

a - StartFraction log (x + 2) Over log 4 EndFraction

Step-by-step explanation:

edge 2022

factorize u(5v+35w)+s(-7v-49w)​

Answers

Answer:

5uv+35uw+7sv-49sw

Step-by-step explanation:

u(5v+35w)+s(7v-49w)

=5uv+35uw +7sv-49sw

You need to multiply the numbers in the brackets by the number in front of the bracket.

hope it helps !!!!!

The town of Springfield had a population, P, of 100,000 in 2008. The population grew by 5% per year from 2008 to 2011. If x is the number of years since 2008, which expression describes this growth?

Answers

Answer:

100,000+.05^x=P

Step-by-step explanation:

The expression which best described the total population is P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3.

What is the pattern?

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

The hint which is present in a given pattern hides in the pattern only.

Total population P in 2008 = 100000

Total population In 2009 = 100000 + 5% of 100000

⇒ 100000 + 0.05 × 100000

⇒ 1.05 × 100000

Total population P in 2010 ⇒

⇒ (1.05 × 100000) + 5% of (1.05 × 100000)

⇒  (1.05 × 100000) + 0.05 × 1.05 × 100000

⇒ 1.05 × 100000[ 1 + 0.05]

⇒ 1.05² × 100000

So it will follow this series.

Therefore,

1.05 × 100000, 1.05² × 100000, 1.05³ × 100000

The generalized term is ;

P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3

Hence "The expression which best described the total population is P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3".

For more information about the pattern,

brainly.com/question/14013716

#SPJ2

An ad says that 6 lemons cost $1.86. What will 8 lemons cost?

Answers

Answer:  2.48

Step-by-step explanation:

We have the ad that shows:

6 lemons for .....................1.86 dollars

8 lemons..............................?

the cost for 8 lemons= (8*1.86)/6=2.48

of course we can use another method,

1.86/6=0.31 cents for 1 lemon

8*0.31=2.48 and we get the same answer

Answer:

$2.48

Step-by-step explanation:

1.86/6=0.31 which is the cost for 1 lemon. 0.31*8=2.48 which is for 8 lemons.

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