through: (-5,1), parallel to y = -2/3x +2

Answers

Answer 1

Answer:

y = -2/3x-1

Step-by-step explanation:


Related Questions

Order these from least to greatest [25 points]

Answers

Answer:

[tex]\frac{\sqrt{6} }{4}[/tex], 1.538..., [tex]\frac{19}{7}[/tex], [tex]\sqrt{29}[/tex]

Step-by-step explanation:

Solve them each on the calculator and then put in order

[tex]\frac{\sqrt{6} }{4}[/tex] = 0.6123...

19/7 = 2.714

[tex]\sqrt{29}[/tex] = 5.385...


What is the least common multiple of x^2-16 and
x^2+4x-32?

Answers

The least common multiple is the smallest expression that can be divided by both of the given expressions.

x^2 - 16 = (x - 4)(x + 4)

x^2 + 4x - 32 = (x + 8)(x - 4)

Both of the factored versions of the expressions have an (x - 4) in them. Thus, that will automatically be included in the LCM. Next, we have to include the (x + 4) and the (x + 8) in our LCM.

LCM = (x - 4)(x + 4)(x + 8)

Hope this helps! :)

Answer:

(x - 4)(x + 4)(x + 8)

Step-by-step explanation:

Factorize the given expressions:

x² - 16 = x² - 4² = (x - 4)(x + 4)x² + 4x - 32 = x² + 8x - 4x - 32 = x(x + 8) - 4(x + 8) = (x - 4)(x + 8)

The LCM is the product of all unique  factors of both expressions:

(x - 4)(x + 4)(x + 8)

rotate segment AE about point F 144 degrees

Answers

Answer:

DC

Step-by-step explanation:

If we rotate a segment around a point 360 degrees, we have rotated it around to its original point. Similarly, if we rotate it 180 degrees, we have rotated it to the side opposite of where it once was relative to the point.

What we can do is see how much 144 degrees is of 360 and use that to determine how far around we rotate AE around F.

144/360

divide by 12 because that is a common factor of both the numerator and denominator

12 / 30

divide by 2 because that is a common factor

6/15

divide by 3 because that is a common factor

2/5

Therefore, 144/360 = 2/5. This means that we rotate segment AE 2/5 of the way around point F. We have 5 sides in the polygon ABCDE, and each represents 1/5 of the way around. Going counterclockwise, ED represents 1/5, DC represents 2/5, and so on. We are looking for 2/5, so DC is our answer

You get a summer job and make a total of $5,500 throughout the summer months. The government takes out taxes from that money at a rate of 33%. How much money did you really make after taxes were taken out?

Answers

Answer:

$1650 is the answer hope it helps

help :( explain the meaning of -500 in context to the problem,

a plane flies directly from a city in Pennsylvania to a city in Ecuador. the equation below estimates the distance (d), In miles, from the city in Ecuador of the airplane (t) hours after taking off from the city in Pennsylvania

d=2565-500t

Answers

The equation of the distance of the plane from the city in Ecuador is a

linear  equation that has a constant rate of change.

The -500 is the rate at which the distance of the plane from Ecuador changes every hour.

Reasons:

The equation that estimates the distance of the plane from the city in

Ecuador is d = 2565 - 500·t

Where;

d = The distance in miles from the city in Ecuador

t = The time in hours after taking off from the city in Pennsylvania

Required:

The meaning of -500 in the context of the problem.

Solution:

By using dimensional analysis, we have;

Given that d is in miles and t is in hours, 2,565 is in miles, and 500 × t is in

miles.

Therefore, -500 is in miles per hour, which is the speed of the plane.

The -500 therefore, in the context, is the number of miles, the rate, by

which the plane becomes closer to the city in Ecuador every hour.

Learn more rate of change here:

https://brainly.com/question/1388646

We can  analice through a  dimensional evaluation, every term in any equation.

Solution is:

The term - 500 × t

represents, the quantity of miles travel in the time t

Looking carefully each term in the equation:

d = 2565 - 500×t

And knowing:

d, is distance in milest, is time in hoursThe fact that, adding and subtracting are mathematical operations with homologous quantities. By homologous quantities we must understand that we add and subtract apples plus or (minus) apples. We never add pencils plus boxes

We are able to answer the question.

Then in the expression

d = 2565 - 500×t

As d is in miles, we must understand that 2565 is the total distance of the trip, also in miles, should and the product  -500×t must also be in miles. According to that, the number 500 is necessarily in miles/hours (the speed of the plane),  and the negative sign for 500 means that the total distance 2565 miles should be subtracted from the total time of travel.

For instance if t = 1 hour

d = 2565 miles - 500 (miles)/hour × 1 (hour)

As we can see we are able to determine the total time of fly, as the total distance between the cities is 2565, and 500 is the speed of the plane (constant during the whole trip).

For the whole trip

d = 2565 miles    then total fly time is:

2565 (miles)/ 500 (miles/hour)×t

To get .  t = 5.13 h

Related link:https://brainly.com/question/8956323

A line has a slope of and passes through the point (4, 7). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

7=4m +c( y intercept)

Step-by-step explanation:

use the formula y= mx +c

Which list of angle measures could be the angle measures of a triangle?

Answers

Hello there! So the answer would be D: 35 degrees, 60 degrees and 85 degrees. We know this because angles in a triangle sum to 180 degrees. By simply adding each angle up, we can confirm that 35 + 60 + 85 = 180. :)

pls help me in this question
a . If 3x,2x and (x+12) are supplymentary angles find the sizes of unknown angles​

Answers

Answer:

x=28°

Step-by-step explanation:

supplementary angles equal 180°

So:

3x+2x+x+12=180°

6x+12=180

6x=168

x=28°

Therefore:

3x:

3(28)=84°

2x:

2(28)=26°

x+12:

28+12=40°

Question 1 (1 point)
Find the measure of the angle marked 4x

Answers

we need the image to solve the problem

the sum and product of zeroes are 4 and 1 respectively then the quadratic equation is
A. x² - 4x + 1 =0
B. x + 1=0
C 4x² +x +1 =0
D . x² + 7x+1 =0​

Answers

Answer:

A. x²- 4x+ 1

option A is the answer

4. Mother pays Php 199.50 for 2.85 kg of rice. How much does a kilogram of rice cost?
a.35
b.70
c.75
d.105

please answer it correctly.​

Answers

Answer:

B. 70

Step-by-step explanation:

If 199.50 PHP gets you 2.85KG of rice.

A kilogram of rice would cost = Total Amount / Total Weight.

199.50/2.85

= 70PHP

-6 = 1/4w -1/2 solve for w

Answers

W=-26 , I checked this and it is correct

what is the exact value of cos(11 π/12)

Answers

Answer:

[tex]-\frac{1}{4}(\sqrt{2}+\sqrt{6})[/tex]

Step-by-step explanation:

[tex]cos(\frac{11\pi}{12})[/tex]

[tex]cos(\frac{2\pi}{3}+\frac{\pi}{4})[/tex]

[tex]cos(\frac{2\pi}{3})cos(\frac{\pi}{4})-sin(\frac{2\pi}{3})sin(\frac{\pi}{4})[/tex]

[tex](-\frac{1}{2})(\frac{\sqrt{2}}{2})-(\frac{\sqrt{3}}{2})(\frac{\sqrt{2}}{2})[/tex]

[tex]-\frac{\sqrt{2}}{4}- \frac{\sqrt{6}}{4}[/tex]

[tex]-\frac{1}{4}(\sqrt{2}+\sqrt{6})[/tex]

Helpful Tips:

Sum Identity: [tex]cos(\alpha+\beta)=cos(\alpha)cos(\beta)-sin(\alpha)sin(\beta)[/tex]

Need help find the value of x

Answers

X=9
There is explanation

help me plzzzzzzzzzzzzz (NO LINKS)

Answers

Answer:

5^4

Step-by-step explanation:

The rule when you divide two values with the same base is to subtract the exponents.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
[tex]y = {x}^{2} [/tex]
[tex]y = 4x[/tex]
; about the y-axis​

Answers

well, first off, when it comes to volumes by rotation, we'd want to graph them, Check the picture below.  Our rotation over the axis will give us a "washer", so we'll be using the washer method.

now, our axis of rotation is the y-axis or namely x = 0, x = 0 is a vertical line, meaning we have to put the functions in y-terms, that is in f(y) form

[tex]y = x^2\implies \pm\sqrt{y}=x\implies \boxed{\pm\sqrt{y}=f(y)} \\\\\\ y = 4x\implies \cfrac{y}{4}=x\implies \boxed{\cfrac{y}{4}=g(y)}[/tex]

if we look at the picture, the parabola is the farthest from the axis of rotation and the line is the closest, or namely R² and r² respectively.

the way I get the area for R² and r², is by using the same I do with "area under the curve", so if I say call the axis of rotation h(y), the way I get the area is

R => f(y) - h(y)

r => g(y) - h(y)

so let's proceed.

[tex]\textit{area under the curve}\\ \begin{array}{llll} \sqrt{y}- 0\implies &\sqrt{y}\\ \frac{y}{4}-0\implies &\frac{y}{4} \end{array}\qquad \qquad \begin{array}{llll} \stackrel{R^2}{(\sqrt{y})^2}-\stackrel{r^2}{\left( \frac{y}{4} \right)^2}\\[-0.5em] \hrulefill\\ y\qquad -\qquad \frac{y^2}{16} \end{array}[/tex]

now, we want to get the area enclosed by both, and thus we'd need their points of intersection, setting both to [tex]\sqrt{y}=\cfrac{y}{4}[/tex]  which in short gives us the bounds of 0 and 16.

[tex]\pi \displaystyle\int_{0}^{16}\left( y - \cfrac{y^2}{16} \right)dy\implies \pi \int_{0}^{16}y\cdot dy-\pi \int_{0}^{16}\cfrac{y^2}{16}\cdot dy\\\\\\\pi \cdot \left. \cfrac{y^2}{2} \right]_{0}^{16}-\pi \cdot \left. \cfrac{y^3}{48} \right]_{0}^{16}\implies 128\pi -\cfrac{256\pi }{3}\implies \boxed{\cfrac{128\pi }{3}}[/tex]

Need help with a math problem If doing 5 stars and a good rating

Answers

Answer:

16:1

Step-by-step explanation:

Since there are 85 total people and 80 are students that means 5 are chaperones.(85-5) Therefore the ratio of students to chaperones is 80:5 or simplified 16:1.

If the sales tax in your town was 7%, and you paid $1,400 in sales tax on your new car, then what was the original
price of the car? And what is the total price including sales tax?
Please be accurate of your answer and explain.

Answers

Answer:

$20,000

Step-by-step explanation:

20,000 / 0.07 = 1400

Where us point c on the number line

Answers

Answer: - 0.3

Step-by-step explanation:

Correct me if I am incorrect.

If a triangle has a base of 6' and a height of 4' its area would be what?
A= bxh 2
A= 6x4 2
A= 12 sq. ft.

Answers

Answer:

Hello There!

According to the question,

Base=6

And

Height =4

Let's know the formula

[tex] \frac{1}{2} \times base \times height \\ so \\ \frac{1}{2} \times 6 \times 4 \\ [/tex]

simplify 2 with 6 then it will look like this

[tex] \frac{1}{1} \times3 \times 4 \\ \\ [/tex]

1 has no value so

[tex]3 \times 4 = 12 {ft}^{2} \\ [/tex]

So third option

[tex]a = 12 {ft}^{2} [/tex]

is correct.

[tex]\Large\textsf{Hope \: It \: Helped}[/tex]

Answer:

Area = 12 sq ft

Step-by-step explanation:

The formula to find the area of a triangle is

1/2 bh so we will replace the letters with their number value

1/2 (6x4)

1/2 x 24 = 12

So, 12 is your answer!

LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( Pythagorean theorem )

Answers

Answer:

x=sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 =c^2  where a and b are the legs and c is the hypotenuse

x^2 + ( sqrt(7))^2 = (sqrt(14))^2

x^2+7 = 14

x^2 = 14-7

x^2 = 7

Take the square root of each side

sqrt(x^2) = sqrt(7)

x=sqrt(7)

round to the nearest thousandth
7500.98052
12 points **

Answers

Wouldn’t it be 7,500.981 ?

Let S1= 1, S2=2+3, S3= 4+5+6
Find S7
Find S17
Find Sn

Answers

Answer:

S7 = 175S17 = 2465Sn = 1/2(n³ +n)

Step-by-step explanation:

The progression of sums is ...

  1, 5, 15, 34, 65, ...

So, first differences are ...

  4, 10, 19, 31

Second differences are ...

  6, 9, 12, ...

Third differences are constant:

  3, 3, ...

This means the expression for Sn will be a cubic expression. If dn is the first of the n-th differences, then the equation can be written as ...

  Sn = S1 +(n -1)(d1 +(n -2)/2(d2 +(n -3)/3(d3)))

And this simplifies a little bit to ...

  Sn = 1 +(n -1)(4 +(n -2)(n +3)/2)

In simpler form, we have ...

  Sn = 1/2(n³ +n)

Then the two terms we're interested in are ...

  S7 = (1/2)(7³ +7) = 175

  S17 = (1/2)(17³ +17) = 2465

Each term Sₙ consists of the sum of a triangular number of terms, which are given by

[tex]T_n = \displaystyle \sum_{k=1}^n k = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]

The triangular numbers are given recursively for n ≥ 1 by

[tex]T_n = T_{n-1} + n[/tex]

starting with T₀ = 0.

For example,

• S₁ = 1 and

[tex]\displaystyle S_1 = \sum_{k=T_0+1}^{T_1} k = \sum_{k=1}^1 k = 1[/tex]

• S₂ = 2 + 3 and

[tex]\displaystyle S_2 = \sum_{k=T_1+1}^{T_2} k = \sum_{k=2}^3 k = 2 + 3[/tex]

• S₃ = 4 + 5 + 6 and

[tex]\displaystyle S_3 = \sum_{k=T_2+1}^{T_3} k = \sum_{k=4}^6 k = 4 + 5 + 6[/tex]

Then the n-th term of the sequence we're considering is

[tex]S_n = \displaystyle \sum_{k=T_{n-1}+1}^{T_n} k = \sum_{k=T_{n-1}+1}^{T_{n-1}+n} k[/tex]

Expanding this sum, we have

[tex]S_n = \left(T_{n-1}+1\right) + \left(T_{n-1}+2\right) + \left(T_{n-1}+3\right) + \cdots + \left(T_{n-1}+n\right)[/tex]

There are n terms on the right side, and hence n copies of [tex]T_{n-1}[/tex], and the rest of the terms make up the next triangular number [tex]T_n[/tex] :

[tex]S_n = nT_{n-1} + 1 + 2 + 3 + \cdots + n[/tex]

[tex]S_n = nT_{n-1} + \displaystyle \sum_{k=1}^n k[/tex]

[tex]S_n = nT_{n-1} + T_n[/tex]

We have a closed form for [tex]T_n[/tex], so we end up with

[tex]S_n = n \cdot \dfrac{(n-1)n}2 + \dfrac{n(n+1)}2 \implies \boxed{S_n=\dfrac{n^3+n}2}[/tex]

From here it's easy to find S₇ and S₁₇.

[tex]S_7 = \dfrac{7^3+7}2 \implies \boxed{S_7 = 175}[/tex]

[tex]S_{17} = \dfrac{17^3+17}2 \implies \boxed{S_{17} = 2465}[/tex]

The sales tax rate is 8% how much money is 8% of $14

Answers

Answer: $1.12

Explanation:




Please help, I will give brainliest Health Insurance Expenses
Business
Type
Definition
Costs
Premium
The annual amount employee pays
the insurance company for the policy.
$6,237
Career
College Rea
Deductible
The amount employee pays for
medical expenses before the
insurance pays for anything.
$1,000
Extra Cred
Business
The percentage employee pays for
Co-Payment medical treatment after the
deductible is paid
30%
Kerr Heavyn_He
hbenefitsss
Use the information in the table. If the employer has agreed to pay 45% of the employees' health insurance premium, what is the total annual
premium?
X
Select one:
O A. The premium is $13,860.
OB. The premium is $11,340,
O C. The premium is $5,103.

Answers

Answer:

It is B

Step-by-step explanation:

f(x)=x^2. what is g(x)?

Answers

- x^2 -3

We can see that g(x) is a reflection of f(x) and a translation down by -3 units parallel to the y axis

Applying these transformations to f(x) will yield option A

What’s a rational number between -1/6 and 1/9

Answers

Answer:

LCM of 6 and 9 are 18

1/6 = 1×3/6×3

= 3/18

= 3×10/18×10

= 30/180

1/9 = 1×2/9×2

= 2/18

=2×10/18×10

= 20/180

therefore rational no.s between 1/6 & 1/9 are

21/180,22/180,23/180,24/180,25/180,26/180,27/180,28/180,29/180

Step-by-step explanation:

sorry if im wrong

Answer:

1/18.

Step-by-step explanation:

-1/6 = -3/18 and 1/9 = 2/18

so one rational number between these values is  1/18.

a recipe calls for 2 cups of flour for every 3 cups of sugar. If you are planning to use 5 cups of flour, how many cups of sugar should you use

Answers

Answer:

7½ cups of sugar

Step-by-step explanation:

2 cups of flour needs 3 cups of sugar

1 cups of flour needs 3/2=1.5 cups of sugar

1×5 cups of flour needs 1.5×5=7.5 cups of sugar=7½ cups of sugar ANS


The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.

Answers

Using the midpoint formula, the coordinates of endpoint H are (4, -6).

The Midpoint Formula

The midpoint formula is given as: [tex](x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]

Where,

[tex](x_m, y_m)[/tex] = coordinates of the midpoint

[tex](x_1, y_1)[/tex] = coordinates of the first point

[tex](x_2, y_2)[/tex] = coordinates of the second point

Given the following:

[tex](x_m, y_m)[/tex] = M( 6,-4)

[tex](x_1, y_1)[/tex] = G(8,-2)

[tex](x_2, y_2)[/tex] = H(?, ?)

Plug in the values into the midpoint formula

[tex]M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )[/tex]

Solve for the x-coordinate and y-coordinate separately

[tex]6 = \frac{8 + x_2}{2}[/tex]

Multiply both sides

[tex]6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}[/tex]

[tex]-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}[/tex]

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

https://brainly.com/question/13115533

What do x equal to
Answer quickly pls

Answers

Answer:

= 130°

Step-by-step explanation:

a far away exterior angle is equal to the sum of two far interior angles

50+80 = x

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