Write the point-slope form of the equation of the line through (4,-2) with slope of -1/2.

Answers

Answer 1

Answer:

Step-by-step explanation:

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

y + 2 = -1/2x + 2

y = -1/2x


Related Questions


Find the unknown length y in the following pair of similar triangles.

Answers

4.5, 5/2=2.5 7/2=3.5 so the answer is 4.5

Consider the sequences of numbers.
5, 10, 15, 20, 25, 30, 35, 40, 45, . . .
10, 20, 30, 40, 50, . . .
Which statements are true regarding the patterns of the sequences? Check all that apply.
The first pattern involves repeated addition by 5.
The second pattern involves repeated addition by 10.
The first pattern involves multiplication by 2.
If a number is in the first pattern, then it is also in the second pattern.
The second pattern can be created by multiplying each number in the first pattern by 2.

Answers

Answer:

1,2,5

Step-by-step explanation:

The first pattern has a difference of 5 while the second is 10 and become by multiplying 2 in pattern 1 so options (A),(B), and (E) will be correct.

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.

For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.

Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.

Given the two patterns.

In the first pattern, each term become by adding 5 so option (A) is correct.

In the second pattern, each term become by adding 10 so option (B) is correct.

The term in the second pattern becomes by multiplying 2 in pattern 1

For example 5× 2 = 10 and 10 × 2 = 20 so option (E) will be correct.

Hence "The first pattern has a difference of 5 while the second is 10 and become by multiplying 2 in pattern 1".

For more information about the pattern,

brainly.com/question/14013716

#SPJ2

Mr. Monasterio ran to The Burrito Barn at 10mph. He ate too many burritos and slowed to 6 mph on the way home. Find the time going to The Burrito Barn if the time coming back took 2 hours more than the time going. Don't forget to include units.

Answers

Answer:

it was 3 hours

Step-by-step explanation:

the thing said so

I’m having trouble solving this question can someone please help me out!!!

Answers

Answer:

Step-by-step explanation:

The answer is A


Community Gym charges a $55 membership fee and a $40 monthly fee. Workout Gym
charges a $125 membership fee and a $30 monthly fee. How many months will it take for
the cost of both gyms to be the same? and what is the cost of the gyms during that number
of months?

Answers

The gyms can be represented by these equations, with x for months. 40x+55= 30x+125. Combine like terms. First, subtract 30x from both sides, and you get 10x+55=125. Subtract 55 next. You now have 10x=70. Divide by 10, and you get x=7. It will take 7 months for them to be the same. To find the cost, you can plug in x. 40(7)+55=335. 30(7)+125=335. The cost is $335.

In a triangle, the measure of one angle is five more than the first and the third angle is one more than four times the first.

Answers

Answer:

A= 29

B=34

C=117

Step-by-step explanation:

A triangle has three sides and a triangle always adds up to be 180

A + B + C = 180

B = A + 5

C = 4A + 1

Plug in.

A + A + 5 + 4A + 1 = 180

6A + 6 = 180

6A = 174

A = 29

Now since you found A, find the other two by plugging A in!

C = 4(29) + 1

C = 117

Plug in the B equation

B = 29 + 5

B=34

Check your answers

29 + 117 + 34 = 180

The measure of an angle is 2°. What is the measure of its complementary angle?

Answers

Answer:

88°

Step-by-step explanation:

Complementary angles have a sum of 90°, just do 90 - 2 and there's your answer.

whats 48 divided by 2

Answers

24 is the answer lol

Answer:

My answer to the question is 24.

You flip a fair coin until you see three tails in a row. What is the average number of headsthat you’ll see until gettingTTT?

Answers

Answer:

14

Step-by-step explanation:

From the given information:

suppose, Y is the number of times a coin is being flipped.

If the coin is flipped for the first time and we get H, then we have:

TTT = [tex]\dfrac{1}{2}(Y+1)[/tex]

Afterward, if we get H, then we waste two times plus the probability of this event [tex]\dfrac{1}{4}[/tex].

Therefore, we have : [tex]\dfrac{1}{4}(Y+2)[/tex]

Afterward, if we get H, then we waste three times plus the probability of this event [tex]\dfrac{1}{8}[/tex].

Therefore, we have : [tex]\dfrac{1}{8}(Y+3)[/tex]

If we got T at the third time, then;

T = [tex]\dfrac{1}{8}(3)[/tex]

Thus, average number of headsthat you’ll see until gettingTTT can be expressed as:

[tex]= \dfrac{1}{2}(Y+1)+ \dfrac{1}{4}(Y+2)+ \dfrac{1}{8}(Y+3)+ \dfrac{1}{8}(3)[/tex]

= 14

x + y = -50
y = 4x

Answer (x,y)

Answers

Answer:

x = -10 ; y = -40

Step-by-step explanation:

Note:

y = 4x.

Plug in 4x for y in the first equation:

x + y = -50

x + (4x) = -50

Solve for x. First, simplify, then isolate the variable, x.

x + 4x = -50

5x = -50

Divide 5 from both sides of the equation.

(5x)/5 = (-50)/5

x  = -50/5

x = -10

Plug in -10 for x in one of the equations:

y = 4x

y = 4(-10)

y = -40

x = -10 ; y = -40 is your answer.

~

X equals -10 and Y equals -40

Suppose we want to know whether students who study more (hours per week) have a higher grade point average. What kind of question is this? *

Answers

Answer:

See who studies and who doesnt then compare

Step-by-step explanation:

See who studies and who doesn't

take the assignment

ask for the score of the people who did and for who didn't

collect the data and organize it

what does x = in this equation? 7x-2+2x+14=33

Answers

Answer:

x = 7/3

Step-by-step explanation:

First, combine like terms:

7x + 2x - 2 + 14 = 33

(7x + 2x) + (14 - 2) = 33

9x + 12 = 33

Isolate the variable, note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides:

9x  + 12 (-12) =  33 (-12)

9x = 33 - 12

9x = 21

Next, divide 9 from both sides:

(9x)/9 = (21)/9

Simplify. Divide common factors:

x = (21/9)/(3/3) = 7/3

x = 7/3

what is 95.85 estimated to

Answers

Answer:

96

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

95.85≅96, because 8>5.

20% of ___= 100 Find the answer

Answers

Answer:

500

Step-by-step explanation:

20% of x = 100

Write 20% as a decimal - - > 0.2(x) = 100

Isolate and solve for x - - > x = 100/0.2

Therefore, x = 500

Answer:

500

Step-by-step explanation:

Let the no. be x

20% of x = [tex]\frac{20}{100} x[/tex]

And ,

[tex]\frac{20}{100} x = 100\\=> 20x = 10000\\ => x = \frac{10000}{20} = 500[/tex]

Which of the following is NOT equivalent to 60/80?
A.)3/4 B.)75% C.)7.5 D.)0.750

Answers

Answer:

C

Step-by-step explanation:

Everything else is equivalent.

Hope this helps!

Answer:

C. 7.5

Step-by-step explanation:

60/80 = 3/4 = 75% = 0.75

Everything is equal except for 7.5 because 7.5 = 750%

Hope This Helps :)

CR 3
Part A: Which sentence about integers is NOT ALWAYS TRUE (1 point)
A. positive -positive = positive
B. positive + positive = positive
C. negative + negative = negative
D. positive - negative = positive

Answers

Answer:

A. positive -positive = positive

What is the area of the figure?

Answers

Answer:

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

Step-by-step explanation:

Calculate the area of the large figure by multiplying the length and the width (7[tex]\frac{1}{4}[/tex]*6). Then, calculate the area of the smaller figure (5*3[tex]\frac{2}{3}[/tex]). Finally subtract  the area of the smaller figure from the area of the larger figure. ((7[tex]\frac{1}{4}[/tex]*6)-(5*3[tex]\frac{2}{3}[/tex])

Hope this helps!

2^20-2^1)=2^x. Solve for x

Answers

x = 19.99999724..... im pretty sure thats the answer

Answer:

x=19

Step-by-step explanation:

2^20-2^1=2^x(since they have the same base we can remove the bases)20-1=xx=19

helppppp i dont know pslßss​

Answers

Answer:

width=3

Step-by-step explanation:

area=length X width

length=4 X width

=>area=4 X width X width

=>area=(2 X width)^2

=>36=(2 X width)^2

=>6=2 X width

=>width=3

the area of a rectangle is length times width

A = L times W

A = 26. so 36 = L times W

The length is 4 times the width

L = 4W

Thus, we can switch L to 4W in the area equation

36 = 4W ×W = 4W²

36 ÷ 4

=√9

=3cm

Jamie will choose between two catering companies for an upcoming party. Company A charges a set up fee of $500 plus $25 for each guest. Company B charges a set up fee of $200 dollars plus 30per guest. How many guests are need where the price is equal

Answers

Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

Simplify the expression. -/4/​

Answers

The answer would be -4

A projectile is launched from ground level with an initial velocity of 89 ft/sec. It's height(ft), t seconds after launching is given by s=-16t^2 + v0t + s0. a) Fine the time(s) the projectile will reach a height of 100 feet. b) find the time it takes the projectile to hit the ground

Answers

Answer:

Step-by-step explanation:

Initial Velocity of projection = 89ft/sec

height(ft), t seconds after launching is given by s=-16t^2 + v0t + s0

A) time the projectile will reach a height of 100 ft

s=-16t^2 + v0t

v0 = 89ft/sec

s = 100ft

100 = - 16t² + 89t

-16t² + 89t - 100 = 0

Using the online quadratic equation solver;

t = 4s or t = 1.5625

4x + 16 - x= 22 + 6
O A. x = 3
O B. x= 2
O C. x = 4
D. x = 11

Answers

Answer:

The Answer is C

Step-by-step explanation:

22+6= 28

4(4)+16-4=28

Thus, the answer is C, X=4.

Answer:

C. x=4

Step-by-step explanation:

4x-x=22+6-16

3x=12

x=12÷3

x=4

what are the domain and range of the function represented by the set of order pairs? {(-12,-5),(-10,5),(10,-5),(12,5)}

Answers

Answer:

Domain: -12, -10, 10, 12

Range: -5, 5

Step-by-step explanation:

The Domain is the first coordinate which is x.

The Range is the second coordinate which is y.

Hope This Helps :)

4. Ariel loves to go to baseball games. This season she has already attended 23 New York Ducks games. If
Ariel attended nine more weekend games than weekday games, how many weekday games did she attend.

Answers

Answer: She attended to 7 weekday games.

Step-by-step explanation:

Let's denote our variables as:

Wd = number of weekday games that she attended.

We = number of weekend games that she attended.

We know that in total, she attended to 23 games, so we have:

Wd + We = 23.

"If  Ariel attended nine more weekend games than weekday games" can be written as:

We = Wd + 9.

Then we have the system of equations:

Wd + We = 23.

We = Wd + 9.

The first step would be to replace the second equation into the first one, as:

Wd + We = 23.

Wd + (Wd + 9) = 23

Now we can solve this for Wd.

2*Wd + 9 = 23

2*Wd = 23 - 9 = 14

Wd = 14/2 = 7

She attended to 7 weekday games.

And:

We + 7 = 23

We = 23 - 7 = 16

She attended at 16 weekend games.

Simplify the following expression.
-21 - (-11)

Answers

Answer:

-10

Step-by-step explanation:

well you know that

[tex](-)(-)=(+)[/tex]

so we have

[tex]-21-(-11)\\\\=-21+11\\\\=-10[/tex]

3y^2+y^- 5+ 4y+2y^3+8

Answers

Answer:

9y+3

Step-by-step explanation:

you add all the common numbers and you end up with:

9y^6+3+y^-5

then you put the y^-5 under the other numbers and make it positive so it becomes:

9y^6+3/y^5, then you subtract the exponents of y: 6-5, so that cancels out the y on the bottom making it:

9y+3

Gummi bears come in twelve flavors, and you have one of each flavor. Suppose you split your gummi bears among three people (Adam, Beth, Charlie) by randomly selecting a person to receive each gummi bear. Each person is equally likely to be chosen for each gummi bear.
(a) What is the probability that Adam gets exactly three gummi bears?
(b) If you know that each person recieved at least one gummi bear, what is the probability that Adam gets exactly three gummi bears?
(c) What is the expected number of gummi bears that Adam gets?
(d) If you know that each person recieved at least one gummi bear, what is the expected number of gummi bears that Adam gets?
(e) Is there more variance in the number of gummi bears that Adam gets with or without knowing that everyone gets at least one gummi bear? Explain your answer without calculations.

Answers

Step-by-step explanation:

From the given gummi bear, the chance that Adam is selected for any draw is 1/3 as well as the chance he is not selected at any draw is 2/3.

a). The probability of Adam getting exactly three gummi bears = P(Adam gets selected at 3 draws and not selected at the remaining 9 draws)

= [tex]$ (\frac{1}{3})^3 (\frac{2}{3})^9 = \frac{2^9}{3^{12}} $[/tex]

Now, the 3 draws where Adam gets selected can be any 3 out of 12 draws in [tex]$ {\overset{12}C}_3 $[/tex] = 220

Thus, probability of Adam getting three gummi bears = [tex]$ 220 \times \frac{2^9}{3^{12}} $[/tex]

                                                                                                = 0.21186

b). Probability that Adam will get the three gummi bears given each person will received at the most 1 gummi bear

= P(of the remaining 9 draws after assigning one gummi bear to each one, Adam gets selected at 2 draws and not selected at 7 draws) = [tex]$ {\overset{9}C}_2 (\frac{1}{3})^2 (\frac{2}{3})^7 $[/tex]

                                                                                               = 0.23411

c). Let X = Number of the gummi bears which Adam will get. Then, X = number of draws out of 12 draws Adam gets selected and X ~ B(12, 1/3). So,  Adam will get gummi bears= mean of B(12, 1/3) = 12 x (1/3) = 4

d). Let Y = Number of the gummi bears that Adam will get, given each person will received at the most 1 gummi bear Then, Y = number of draws Adam gets selected in the remaining 9 draws and Y ~ B(9, 1/3). So, the expected number of bears that Adam gets given each person received at least 1 gummi bear

= 1 + mean of B(9, 1/3) = 4

e). When every one gets atleast one gummi bear, the new sample size will be 9 and so we can say that there is a reduction in variance.

What is the y-intercept of the linear equation x-3y=-6?

Answers

To find the y-intercept, let x = 0.

0 - 3y = -6

-3y = -6

y = 2

The y-intercept of the equation is the point (0, 2).

Answer:

2

Step-by-step explanation:

Solve the equation for y. First subtract x from both sides then divide by -3. The result is y=1/3x+2 with the number "2" representing the y-intercept.

find the area of the region enclosed by the curves y=x and y=(x-2)^2

Answers

Answer:

Step-by-step explanation:

14.5845842 518.5874 funny

Answer:

Step-by-step explanation:

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