35.
What is the equation of the line that is
parallel to y = 4x + 3 and passes through
the point (2,6)?

HELP! answer if you can!​

Answers

Answer 1

Hi there! :)

Answer:

[tex]\huge\boxed{y = 4x - 2}[/tex]

Given line with an equation of y = 4x + 3

Parallel lines contain equivalent slopes, so a parallel line to the given equation would contain a slope of m = 4.

Plug in the coordinates of the point given, along with the slope into the equation y = mx + b where:

m = slope

y = y-coordinate of point

x = x-coordinate of point

Solve for the 'b' value, or y-intercept:

y = mx + b

6 = 4(2) + b

6 = 8 + b

b = -2

Rewrite the equation as slope-intercept form:

y = 4x - 2

Answer 2

Answer:

When you see the word "parallel", you know the new line will have the same slope.

parallel to y = 4x + 3

So, the new line will have a slope of 4

"Indicate the region where y≥ 4x + 3

Plot y= 4x + 3 by finding the points that make it true. For example, (y = 0, x = 3/4), (y = 2, x = 2) and so on.

y = 4x + b

b is the y intercept ( point y when x = 0)

Insert new coefficients:

+2 = 4(0) + b

b = +2

y = 4 + 2

[tex] \: [/tex]


Related Questions

In a given set of items, the mode is items which ?
a. appears first
b. appears fewest
c. appears farthest
d. appears most

Answers

Answer:

d. appears most

Step-by-step explanation:

Mode is the number that appears the most often in a set of data

The largest prime factor of 1224. Explain with definition.​

Answers

Factors of 1224 are numbers that, when multiplied in pairs give the product as 1224. There are overall 24 factors of 1224 among which 1224 is the biggest factor and 2, 3, 17 are its prime factors. The Prime Factorization of 1224 is 23 × 32 × 171.

express each of the following numbers as power of 5... (a) 0.2, (b) 125​

Answers

Answer:

(a).

[tex]0.2 = {5}^{ \frac{1}{3} } [/tex]

(b).

[tex]125 = {5}^{3} [/tex]

2. What is the volume of the regular pyramid to the nearest whole number?
14 cm
12 cm

Answers

291 cm^3

The volume of a pyramid is (area of base x height) / 3
In this case the base is an equilateral triangle with side 12cm.
Using the semi perimeter formula gives
Base = sr( 18 x 6 x 6 x 6) = 62.3538...
Volume = 62.3538... x 14 / 3 = 290.9845...
= 291 to nearest whole number

You could find the base area using Pythagoras and 1/2bh or the Sine formula

.....................​

Answers

Answer:

2nd option is the correct one

log|x|-f(x)+k

Someone help please

Answers

Answer:  Choice A

[tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex]

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

Explanation:

Recall that [tex]\tan(x) = \frac{\sin(x)}{\cos(x)}[/tex] and [tex]\cot(x) = \frac{\cos(x)}{\sin(x)}[/tex]. The connection between tangent and cotangent is simply involving the reciprocal

From this, we can say,

[tex]\tan(\alpha)*\cot^2(\alpha)\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\left(\frac{\cos(\alpha)}{\sin(\alpha)}\right)^2\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\frac{\cos^2(\alpha)}{\sin^2(\alpha)}\\\\\\\frac{\sin(\alpha)*\cos^2(\alpha)}{\cos(\alpha)*\sin^2(\alpha)}\\\\\\\frac{\cos^2(\alpha)}{\cos(\alpha)*\sin(\alpha)}\\\\\\\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex]

In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.

All of this shows why [tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex] is identical to [tex]\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex]

Therefore, [tex]\tan(\alpha)*\cot^2(\alpha)=\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex] is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.

You can visually confirm that [tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex] is the same as [tex]\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex] by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.

Jack received $300 for his 13th birthday. If he saves it in a bank account with 8% interest compounded yearly, how much money will he have in the bank by his 18th birthday?

Answers

300(1.08)^5

440.798423

What is the distance between (1, 9) and (1, -4)? Use the distance formula.

D=(x2-x1)2+(y2-y1)2

Answers

Answer:

D. 13

Step-by-step explanation:

You just have to plug in numbers then solve.

(1,9) and (1,-4). Every coordinate is placed as (x,y)

(1,9) is labeled as (x1, y1)

(1,-4) is labeled as (x2,y2)

Now plug in the numbers.

d= Square root of (1-1)^2 + (-4-9)^2

d= Square root of 1^2 +-13^2

d= Square root of 1+169

d= Square root of 170

d= 13.04

Rounded to a whole number, the answer is 13

Answer:

D

Step-by-step explanation:

you have to substitute the values in the distance formula,in this case x2 is 1,x1 is 1,y2 is -4 and y1 is 9

d=√(x2-x1)²+(y2-y1)²

=√(1-1)²+(-4-9)²

=√(0)²+(-13)²

=√169

=13

I hope this helps

1/4(12x – 16) = 4 is equivalent to 3x – 16 = 4.
O False
O True

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

O False

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Equation Given...}}\\\\\frac{1}{4}(12x-16)=4 \\---------------\\\\\rightarrow \left \{ {{\frac{1}{4} * 12 = 3} \atop {\frac{1}{4}*-16 = -4}} \right.\\\\\rightarrow \boxed{3x - 4 = 4}\\\\\\\rightarrow\boxed{3x - 4 = 4\neq 3x - 16 = 4} \leftarrow\\\\\text{The 'simplified' equation is not distributed correctly.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

PLEASE HURRY I HAVE 5 MINUTES LEFT

A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity?

a) 0.18p

b) 0.82p

c) 1.18p

d) 18.00p

Answers

Answer:

18.00p maybe...............

An executive for a large company is considering a change to health insurance plans offered to the employees. To
assess employee satisfaction with the current plan, the executive sends an email to all company employees asking
their opinion of the current plan. A summary of the results received shows that 27% of company employees are
"highly satisfied" with the current health insurance plan. Which statement about the results is most likely to be true?

Answers

Answer:

not D

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Please answer it now

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

435.20 square cm

▹ Step-by-Step Explanation

Diameter = 12

Radius = 1/2d

Radius = 1/2 * 12

Radius = 6

A = πr(r +√h² + r²) =

A = π · 6·(6 + √16²+6²)

≈ 435.19869 → 435.20 square cm

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

5000 X 10 X 10 X 50​

Answers

Answer:

25000000

5000 X 10 is 50000

50000 X 10 is 500000

500000 X 50 is 25000000

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

A way to tackle this is to split all the numbers up into a digit and a power of 10.

5000 = 5*1000, and 1000 can be written as 10^3

10 = 1*10, and obviously 10 is 10^1

50 = 5*10, where 10 is 10^1

Now we have (5*10^3) * (1 * 10) *(1 *10)*(5 *10)

Gathering all the digits, we have 5*1*1*5, giving us 25

Gathering all the powers of 10, we have 10^3*10*10*10 = 10^6

expanding and multiplying gives us the final answer of 25000000

Tricks for solving trigonometry proof question easily ??​

Answers

Answer: do do that you need a firm understanding of trig. once you do, you can see all the steps and solve a trig proof problem easily. So go back to solving regular trig questions, and keep asking yourself why this formula works. once you have understanding of that, you can solve trig proof problems with ease.

Step-by-step explanation:

Isabella saved $13,000 and bought a car that cost $11,675. The insurance for the car will cost $650 per year.
How many full years will Isabella be able to pay for car insurance with her remaining savings?

Answers

Answer:

isabella will be able to pay 2 full years of insurance with her remaining savings

Step-by-step explanation:

as we know isabella saved $13,000

the car cost $11,675 - so subtracting that from her total we will know that she has: $1,325 remaining

insurance for a year costs $650,

so we will divide her remaining sum by the yearly cost giving us -

1,325/650

= ‎‎‎2.0.3....

this means that she will be able to pay for 2 full years of insurance with her remaining savings

hope this helped:)

Answer:  2 years

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

Explanation:

x = number of years

Since it costs $650 a year for insurance, she will pay 650x dollars of insurance in total over those x years.

For example, if x = 4, then 650*x = 650*4 = 2600 dollars is paid in insurance.

The expression 650x is added onto the 11675 which is the cost of the car.

Overall, Isabella pays 650x+11675 dollars as the combined cost of the car itself and the insurance over those x years.

Set this equal to 13000 and solve for x

650x+11675 = 13000

650x = 13000 - 11675

650x = 1325

x = 1325/650

x = 2.03846 which is approximate

Rounding down to the nearest whole number gets us to x = 2

She will be able to afford 2 full years of insurance

Note that if x = 3, then,

650x+11675

650*3+11675

13625

Which is 625 dollars over her budget. This shows that she cannot have x = 3 or larger.


Simplify the expression:
4 + 4f2 + 6f - 6f

Answers

Answer:

4f^2 +4

Step-by-step explanation:

4 + 4f^2 + 6f - 6f

Combine like terms

4f^2 +4

(3,y) (1,4) m= -2 what is the value of y if the line through the two given points is to have indicated slope

Answers

Answer:

y=0

Step-by-step explanation:

The equation for the slope is

m = ( y2-y1)/(x2-x1)

-2 = (4-y)/(1-3)

-2 = (4-y)/-2

Multiply each side by -2

4 = 4-y

Subtract 4 from each side

4-4 = 4-y-4

0 = -y

0=y

Help fast please!! Which expression is equivalent to..

Answers

Answer:

1/8 = 2³ * 2⁻⁶

Step-by-step explanation:

2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8

You buy 3 pairs of pants for $19 each and 5 shirts for $10 each. Which of the following is a good estimation of how much money you spent?

Answers

Answer

19 X 3= 57

10 X 5= 10

57 + 10=

Therefore your answer is $67

Hope this helps! (づ ̄3 ̄)づ╭❤~

Step-by-step explanation:

The 4th term of an exponential sequence is 108 and the common ratio is 3. Calculate the value of the eighth term of the sequence.

Answers

Answer:

8748

Step-by-step explanation:

The formula for the nth term in a geometric sequence is ar^n-1.

We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.

a = 4.

We find the 8th term using this:

(4)(3)^8-1 = (4)(3)^7 = 8748.

This rectangular wall is to be painted. Paint is sold in tins. How much does it cost to paint the wall?

Answers

Answer:

£23.96

Step-by-step explanation:

Area to be painted:

3.6 m * 8.3 m = 29.88 m^2

The area to be painted is 29.88 m^2.

A tin of paint covers 8 m^2. We divide to find the number of tins needed.

29.88/8 = 3.735

Since full tins must be bought, the smallest number of tins needed is 4.

Now we find the price of 4 tins. 1 tin costs £5.99, so 4 tins cost:

4 * £5.99 = £23.96

What is the perimeter of the figure shown?

Answers

Answer:

[tex]\boxed{16 units}[/tex]

Step-by-step explanation:

Hey there!

Well since all the sides are congruent and there are 8 sides we can make the following expression,

P = 2*8

P = 16

Hope this helps :)

Answer:

16

Step-by-step explanation:

The sides of this figure are equal to each other .

the permiter is the sum of the sides

The figure has 8 sides.

● P = 8 × 2

● P = 16

Given the function f(x) = -2c+cx-x^2, and f^-1(5) = -1, find c

Answers

Answer:

[tex]c=-2[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x) = -2c + cx - x^2[/tex]

And that:

[tex]\displaystyle f^{-1} (5) = -1[/tex]

And we want to determine the value of c.

Recall that by definition of inverse functions:

[tex]\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a[/tex]

So, since f⁻¹(5) = -1, then f(-1) = 5.

Substitute:

[tex]f(-1) = 5 = -2c + c(-1) - (-1)^2[/tex]

Simplify:

[tex]5 = -2c - c - (1)[/tex]

Combine like terms:

[tex]6 = -3c[/tex]

And divide. Hence:

[tex]c = -2[/tex]

In conclusion, the value of c is -2.

WILL MARK BRAINLIEST !! find the coordinates F after a dilation about the origin of 2.5 write your answer in AB form​

Answers

Answer:  (5,0)

Explanation:

Point F is located at (2,0)

Multiply each of those coordinates by the scale factor 2.5

2.5*2 = 52.5*0 = 0

This means point F(2,0) moves to F ' (5,0) after applying the dilation, where the dilation is centered at the origin.

2. Calculate the amount of gallons needed to fill the pool shown below. (3 points)

Answers

Answer:

52,322 gal

Step-by-step explanation:

will make it simple and short.

vol =  ( a + b ) * h/2 times the depth

vol = (10 + 4) x (40/2) x 30 = 8400 cu. ft.  ---------->>> then convert to gal.

                             6.2288 gal

vol = 8400cu.ft. x ----------------- =  52,322 gal

                                1 cu.ft.

i need your help guys​

Answers

Answer:

It is 3^6

Step-by-step explanation:

[tex]{ \tt{ {9}^{7} \div {3}^{8} }} \\ = { \tt{( {3}^{2}) {}^{7} \div {3}^{8} }} \\ = { \tt{ {3}^{14} \div {3}^{8} }} \\ = { \tt{ {3}^{(14 - 8)} }} \\ = { \tt{ {3}^{6} }}[/tex]

[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]

Can you give me same question like this..please

Q. Amina thinks of a number and subtracts 5/2
from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

Answers

Answer:

Three more than twice a number is equal to four less than the number. find the number.

What is 100,000+4,000+800+5 in standard form

Answers

Answer: 104,805

Step-by-step explanation:

just add

Answer:

104,805

Step-by-step explanation:

add it in each placement form

I need the answers for Q10 part b and Q11 ASAP!!!

Answers

Answer:

Q10ii: x axis horizontal, y axis vertical, a straight line through the origin and point (5,20)

Q11i: z = 8y

Q11ii: y axis horizontal, z axis vertical, a straight line through the origin and (6,48)

Step-by-step explanation:

Linear proportions will always produce straight lines when graphed. Also, they will have to go through the origin when there is not some kind of offset.

Determine if the following table represents a quadratic function.
x 1 2
3 4 5
y 13 22 37 58 85
(1 point)​

Answers

Answer:

The options are not visible enough (See Explanation)

Step-by-step explanation:

Given

x:-  1   || 2   || 3   || 4   || 5

y:-  13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

[tex]Difference = 22 - 13 = 9[/tex]

[tex]Difference = 37 - 22 = 15[/tex]

[tex]Difference = 58 - 37 = 21[/tex]

[tex]Difference = 85 - 58 = 27[/tex]

The resulting difference are: 9 || 15 || 21 ||  27

Next; Calculate the difference between the difference of values of y

[tex]Difference = 15 - 9 = 6[/tex]

[tex]Difference = 21 - 15 = 6[/tex]

[tex]Difference = 27 - 21 = 6[/tex]

The resulting difference are: 6 || 6 || 6

For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.

Other Questions
What is the value of i 20+1?1- .- In Marigolds, what do the following lines from the passage mainly reveal about Lizabeth? Suddenly I was ashamed, and I did not like being ashamed. The child in me sulked and said it was all in fun, but the woman in me flinched at the thought of the malicious attack that I had led. Question 11 options: a) Lizabeth knows she is maturing because she is aware of the consequences of her actions. b) Lizabeth wishes that she and the neighborhood kids had gotten the chance to kill all of Miss Lotties marigolds. c) Getting older meant that now Lizabeth realizes what poverty her family lives in. d) Lizabeth feels more like a woman because she is bored by summer and ready to go back to school. a hotel manager wants miriam to tile their lobby using the dame design she created for Mr.Rivera.The lobby measures 45 feet by 45 feet. he wants the outer edge to be the same color as the center tile. will this occur ? justify your answer Imagine that you are interviewing Susana, a student from Barcelona who is getting her master's degree in San Francisco. Write five questions that correspond to Susanas responses below. (you) Tengo 23 aos. (you) Soy de Barcelona. (you) Vivo en San Francisco. (you) Dudo que mi famlia venga a visitarme. (you) TIME: by Golden AKA: Joey Wilsonwe don got no time for shi but we have until 9roses and rose pedals i cannot call her minedeep and sorrow sickness no one helps me get through it fineroses and rose pedals i cannot call her minecallin her every night yeah she is so divineevery time i do this she keeps sending me declinei try and try to hint at her but she dont read my signsall she wanna do is die and cry and whinepain is all i feel yeah it really stabs me deepall she wanna do is call me an ugly freakall i wanna do is weep and shriek and sleeproses and rose pedals she is one true antique.:( the end for now:( Funday Park competes with Fun World by providing a variety of rides.Funday sells tickets at $85 per person as a one-day entrance fee.Variable costs are $17 per person and fixed costs are $428,400 per month.Required:1. Supposed Funday Park cuts its ticket price from $85 to $68 to increase the number of tickets sold. Compute the new breakeven point in tickets and in sales dollars.a. The new breakeven point in tickets is? _b. The new breakeven point in sales dollars is? $_2. Ignore the information in question 1. Instead assume that Funday Park increases the variable cost from $17 to $34 per ticket. Compute the new breakeven point in tickets and in sales dollars.a. The new breakeven point in tickets is?b. The new breakeven point in sales dollars is? $_3. Ignore questions 1 and 2. Supposed Funday Park reduces fixed costs from $428,400 per month to $319,600 per month. Compute the new breakeven point in tickets and in sales dollars.a. The new breakeven point in tickets is?b. The new breakeven point in sales dollars is? $_4. Ignore information in questions 1 - 3. If Funday Park expects to sell 6,400 tickets, compute the margin of safety in tickets and in sales dollars.a.- = Margin of safety in units- = b.- = Margin of safety in dollars- = 5. Ignore information in questions 1 - 4. If Funday Park expects to sell 6,400 tickets, compute the operating leverage. Estimate the operating income if sales increase by 20%.a./ = Degree of operating leverage/ = b. Estimate the new operating income if total sales increase by 20%?The estimated operating income will be? $ Give causes of contamination of fresh water. Determine if the event described is independent or dependent. You pick a marble at random from a group of marbles, don't replace the marble, and pick a second marble. Determine the measure of the interior angle at vertex D. A. 27 B. 162 C. 20 D. 36 convert 407 in base 8 to decimal Please answer this correctly without making mistakes Find the area of the following rectilinear figure. The speaker argues that just because these men have been locked up, they shouldn't be locked out of their kids' lives. Do you agree or disagree? Explain. All of the following statements concerning the characteristics of aggregate planning for services is true except A. Group of answer choices B. Demand is difficult to predict C. Most services can be inventoried D. Capacity is easy to predict E. Labor is the most constraining resource An essay on Good triumphs evil in Macbeth given the functions f(x)=3/2 and g(x)=7/3x-8/3, find(f*g)(x) what is office and why is important Jason counted by 6's aloud and Lawton counted by 4's aloud. What is the first number they will both say? Really need help on this and dont know the answer 1) This image from the outside of a building suggestsan Islamic design because of