write an equation with a slope of -1/2 in each form.
point-slope form
slope-intercept form.

Answers

Answer 1

For the case of a line through

(

2

,

7

)

and

(

1

,

4

)

we have

slope

m

=

Δ

y

Δ

x

=

4

7

1

2

=

11

1

=

11

Using the point

(

2

,

7

)

we can write the equation of the line in point slope form as:

y

7

=

m

(

x

2

)

where the slope

m

=

11

.

That is:

y

7

=

11

(

x

2

)

To get point intercept form, first expand the right hand side so...

y

7

=

11

x

(

11

2

)

=

11

x

22

Then add

7

to both sides to get:

y

=

11

x

15

=

11

x

+

(

15

)

This is point intercept (

y

=

m

x

+

c

) form with slope

m

=

11

and intercept

c

=

15

.


Related Questions

plz help me plz help me plz help me I don't want to get grounded the whole summer the question is. the window has the shape of a kite how many square meters of glass were used to make the window?n​

Answers

Answer:

1800

Step-by-step explanation:

Just find the area of all the triangles and add

Answer:

18 metres squared

Step-by-step explanation:

it looks like you want to find the area of the kite as a whole, and lucky for you, the kite is conveniently cut into right triangles.

to find the area of a right triangle, you use the equation

A = (b × h)/2

where A is the area, b is the base, and h is the height.

now we plug in the numbers for each individual area and solve for the total area.

let's start with the 1st triangle, where it's base is 30cm and the height is 25 cm.

A = (30 × 25)/2

A = 375 cm squared

now the next one whose base is 30 and it's height is also 25 (We just did this last time so the area is the same)

A = 375 cm squared

now we'll do the next one whose base is 30 and height is 35.

A = (30 × 35)/2

A = 525 cm squared

and the last one is the same as the one we just did so I'll just copy the other answer.

A = 525 cm squared

alright now we'll add up all of the areas we just found to get the total area of the kite.

Total A = 375 + 375 + 525 + 525

Total A = 1800 cm squared

now we will divide our total by 100 because it takes 100 centimetres to get 1 metre and what we have right now is centimetres.

1800/100 = 18 metres squared.

PLEASE HELP WITH GEOMETRY!! CACULATE SURFACE AREA, SHOW WORKw

Answers

Answer:

10 x 4 = 40, 40 x 2 = 80

5 x 10 = 50, 50 x 2 = 100

5 x 4 = 20, 20 x 2 = 40

100 + 80 + 40 = 220 ft2

On a test that has a normal distribution, a score of 49 falls three standard deviations below the mean, and a score of 59 falls two standard deviations above the mean. Determine the mean of this test.

Answers

The mean of the test that has a normal distribution is 55.

What is the mean of the test?

Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:

49 = μ - 3σ  equation (1)

59 = μ + 2σ  equation (2)

To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:

49 + 59 = μ - 3σ + μ + 2σ

Simplifying, we get:

108 = 2μ - σ

We can also solve for σ by subtracting equation (1) from equation (2) to get:

59 - 49 = μ + 2σ - (μ - 3σ)

Simplifying, we get:

10 = 5σ

Therefore, σ = 2.

Substituting this value of σ into the equation we found earlier, we get:

108 = 2μ - σ

108 = 2μ - 2

Solving for μ, we get:

2μ = 108 + 2

2μ = 110

μ = 110/2

μ = 55

Therefore, the mean of the test is 55.

Learn more about normal distribution here: https://brainly.com/question/29509087

#SPJ1

18 An architect diagrams two sidewalks to go between the pool, grass, and seating areas as shown below. у Sedang Distance (meters) 600 Nom grass pool 1 1 2 3 4 5 6 7 8 4 7 8 x​

Answers

Answer:

Step-by-step explanation:pool or grass

Answer: The answer is C

math please help will give brainiest.

Answers

Answer:

3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Add all the numbers together, to get 31. Then add 9. That leaves you with 40. Divide that by 5, or the number of terms. You get 8.

Hope that this helps!

Given the system of linear equations:
4x + 6y = 24
2x+y=8.
Which equations (select all) are a result from ADDING and/or SUBTRACTING the TWO
equations together?
6x + 7y = 32
2x + 6y = 16
2x + 5y = 16
63 - 6y = 32

Answers

6x+7y=32 and 2x+5y=16

if you add the two equations you get the first answer and if you subtract the two equations you get the second answer

17

Drag each tile to the correct box.

Match each savings plan to its description

401(k)

Roth IRA

403(b)

529 plan

health FSA

a tax-deferred retirement savings plan available to employees of some nonprofit

organizations and educational Institutions

a tax-advantaged college savings plan

an employer-offered retirement account that accepts contributions from

employees and employers

a tax-advantaged savings account available through employers to pay for

qualified medical expenses

Answers

Answer:

●an employer-offered retirement account that accepts contributions from employees and employers - 401(k)

●a tax-deferred retirement savings plan available to employees of some nonprofit - 403(b)

●a tax-advantaged college savings plan- 529 plan

●a tax-advantaged savings account available through employers to pay for qualified medical expenses- health FSA

Step-by-step explanation:

●401(k): Retirement

A 401(k) is one of the most well-known tools for retirement savings. A 401(k) is an employer-sponsored retirement plan that allows employees to contribute money on a pre-tax basis. Your contributions and earnings are not taxed until you start making withdrawals.

●403(b): Retirement

Like 401(k) accounts, a 403(b) is a form of an employer-sponsored retirement account. If you work for a public school, university, or non-profit organization, you may be eligible for a 403(b) account.

With a 403(b), you make contributions before taxes are taken out of your paycheck. You don’t pay taxes on the contributions .

● ROTH IRA: Retirement

A Roth IRA works differently than a Traditional IRA. Your contributions are not tax-deductible, and you make contributions with after-tax dollars. However, Roth IRAs offer a unique advantage: your earnings and withdrawals are tax-free. Roth IRAs have the same contribution limits as Traditional IRAs.

● 529 Plan: Education

A 529 education savings plan is a tool you can use to save for your child’s college tuition and fees. The money you invest can grow over time, and if the money is withdrawn to pay for qualified educational expenses, earnings are not subject to federal income tax. Depending on your state, your contributions may also be tax-deductible.

While 529 plans do not have contribution limits, contributions toward a 529 plan count as gifts and are subject to gift-tax laws.

● Flexible Spending Accounts: Health

Some employer-offered health insurance plans include flexible spending accounts (FSAs). With an FSA, you make pre-tax contributions into a separate account to use for health expenses. You can use your FSA dollars to purchase prescription and over-the-counter medications, pay your deductibles or coinsurance, and purchase medical supplies.

I need help please help ASAP?!?!

Answers

Answer:

C

Step-by-step explanation:

(x²)(x³) = x 2+3

6 + (-3)

6 - 3

3

Answer:

the answer is c

Step-by-step explanation:

2 exponent 6 = 64

2 exponent -3 = .125

64x.125 = 8

2 exponent 3 = 2x2x2 = 8

(i don't know how to write exponents on my computer)

I NEED HELP PLEASE PLEASE IN ALGEBRA!

Answers

Answer:

what is question?

Step-by-step explanation:

You already know I really don’t have to explain myself

Answers

Answer:

D

Step-by-step explanation:

1. Find the value of y when x = 3.
y = 3(x+7) + 12

Answers

y= 42. 3(3+7)+12
3(10)+12
30+12
42
y=42
When x = 3 the value of y = 3(3+7) + 12

y = 3(3+7) + 12
= 42

PLEASE HELP I WILL GIVE BRAINLIEST:)

Answers

Answer:

c is correct

Step-by-step explanation:

Answer:

earthquake

Step-by-step explanation:

I think it's right

(Max Points) Do not answer if you’re not 100% sure. I’ll report if wrong.

Answers

Answer:

B. 3/7 + 3r = 1

Step-by-step explanation:

Job can be determines as:

Job = time*rate

We have:

Time 3 hours and Rates 1/7 and r

Sum of the parts completed by both Rocco and Giulia gives the job, which is considered as a whole or 1:

1 = 3(1/7 + r)1 = 3/7 + 3r

or

3/7 + 3r = 1

Correct choice is B

Find the length of the missing side.

Answers

Answer: Should be 14

Step-by-step explanation:

Using Pythagorean theorem, a^2 + b^2 = c2, so 8^2+12^2=c^2, 8^2=64 & 12^2=144, so 64+144=208 then you square root 208 to get 14.22 or 4√13

Pls pls help!!! What is the y-intercept of this quadratic?

Answers

Answer:

(0, 8)

Step-by-step explanation:

The y-intercept is where the line/point crosses the y-axis, the line can cross more than once.

(35+4​n)−​(15+3​n)

pls answer asap

Answers

Answer:

20 - n

Step-by-step explanation:

Subtract like-terms:

35 + 4n - 15 - 3n = 20 - n

Solve
2x + 4 ( 2x + 7 ) + 3 (2x + 4)

Answers

2x+4(2x+7)+3(2x+4)
2x+8x+28+6x+12
16x+40

16x+40 would be the answer you can’t solve it any further

Answer:

merhabalar !

HAVE A NİCE DAY

Simplify.
Rewrite the expression in the form z”. Z5 • Z6

Answers

Answer:

Simplify.

Rewrite the expression in the form z”. Z5 • Z6Simplify.

Rewrite the expression in the form z”. Z5 • Z6

Answer:

Simplify.

Rewrite the expression in the form z”. Z5 • Z6Simplify.

Rewrite the expression in the form z”. Z5 • Z6

Explain how
you know you would use sine, cosine or tangent to
solve this. Explain thorougly
C
X
10
B В

Answers

Answer:

To solve for x,  I would use Cosine.

This is because cosine holds the ratio of adjacent/hypotenuse. Based on the diagram, we can see that HYPOTENUSE = x, so we are solving for x. We know the angle, is 17 degrees. Lastly, we know the triangle leg ADJACENT to the angle is 10 units long. So we would use cosine, implementing the ratio adjacent/hypotenuse. Solving this, we would use cos(17)=10/x. Then our goal is to isolate x, so cos(17)=10/x becomes cos(17)*x=10, we are still trying to isolate x, so, x=10/cos(17). Therefore, our answer  x = 10.457 units. cosine would be the best way to go.

Step-by-step explanation:

Which of these quadrilaterals can have two sides with length 8 cm and two sides with length 3 cm? Select all that apply. Rectangle Rhombus Square Parallelogram Trapezoid

Answers

Answer: Rectangle

Rhombus

Parallelogram

Step-by-step explanation:

A rectangle has four sides and the opposite sides are equal.

A rhombus is simply a flat shape that has 4 equal straight sides and the sides have equal length.

A square has all the four sides equal.

A parallelogram is a quadrilateral that has two pairs of parallel sides. It should be noted that the opposite sides of the parallelogram have equal length.

A trapezoid doesn't have two sides with equal lengths. Therefore, the correct answer to the question will be:

• Rectangle

• Rhombus

• Parallelogram

The diameter of a circle is 2 inches. What is the circle's circumfere
Use 3.14 for u.
PLS HELP!!!

Answers

Answer:

[tex]6.28\:\mathrm{in}[/tex]

Step-by-step explanation:

The circumference of a circle is given by [tex]C=2r\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since all radii of a circle are exactly half the length of all diameters of a circle, if the diameter is 2 inches, we know the radius is 1 inch.

Therefore, we have:

[tex]C=2(1)\pi=2\cdot 1\cdot 3.14=\boxed{6.28\:\mathrm{in}}[/tex]

Answer:

6.28in or 6.3in

Step-by-step explanation:

All I did was multiply pie by diameter or multiply it by its radius, which is 1.

C = 2(3.14)(1)

= 6.28

or

C = (3.14)(2)

= 6.28

Find the values of x and y in the picture. Express answers in simplest radical form. (square root from)

Answers

Answer:

[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]

[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]

HELP PLEASE ASAP PLEASE TYSM TYSM WILK+L MARK BRAINLIEST! IF YOU PUT IN A RANDOM ANSWER YOU WILL BE REPORTED TYSM HELP ASAP PLEASE TYSM

Answers

On one side of the square, it is 4.5 units long. The formula in finding the area of a square is A = s^2, where s is for side. The formula can also be A = s * s in which both formulas are the same and will result in the same answer. So overall, the area of the square is 20.25 or 20 ¼ square units. Hope this helps!

sara spent $ 2.30 on sweets , $ 3.20 on a pencil and $ 9.15 on an excerise book . What steps would you use to find out much less than $ 15.00 sara spent

Answers

2.30 plus 3.20 and 9.15 is 14.65 .

Kiran’s aunt is 17 years older than Kiran. How old will Kiran’s aunt be when Kiran is 15 years old?

Answers

Answer:

32

Step-by-step explanation:

15+17=32

...........

Answer:

32

Explanation:

All you have to do it add 17 to 15, since the aunt is 17 more years older than kiran.

explain why n(n-1) must be an even number​

Answers

n & n - 1 are two consecutive numbers which means one of is surely even and the other one is odd.

_______________________________

Suppose that n is an even number;

So we can right n like this :

n = 2t

Thus :

n - 1 = 2t - 1

_______________________________

n( n - 1 ) = 2t( 2t - 1 ) = 2 ( 2t^2 - t )

= 2 ( q ) = 2q

The number obtained is a multiple of 2, so it is definitely even because all numbers are even multiples of 2.

"The ratio of five less than thrice a number x and four" please write in symbols

Answers

Answer:

(3x - 5)/4

Step-by-step explanation:

(3x - 5)/4 desribes five less than thrice a number x over four. Please let me know if this is what you mean.

Would you rather (A) Run for 12 minutes at least 10 miles and hour; ... OR ... (B) 20 minutes at 6 miles per hour?

Answers

Its actually the same length. I will choose B so that i can run slower

Find the 8th term of the arithmetic sequence - 2x + 7,4x + 1, 10x – 5, ...

Answers

Answer:

Step-by-step explanation:

a1 = -2x + 7

d = 4x + 1 - (-2x + 7)

d = 4x + 1 + 2x - 7

d = 6x - 6

n = 8

a8 = -2x + 7 + (n-1)*d

a8 = -2x + 7 + (8 -1 ) * (6x - 6)

a8 = -2x + 7 + 7 * (6x - 6)

a8 = -2x + 7 + 42x - 42

a8 = 40x - 35

FT is tangent to OP at T. If FP = 39 and FT = 36, what is PT?
39
T
36
A 20
B. 12
C. 3
D. 15

Answers

Answer:

[tex]D) 15[/tex]

Step-by-step explanation:

[tex]39^{2}=36^{2} +PT^{2}[/tex]

[tex]PT^2=39^2-36^2[/tex]

[tex]PT=\sqrt{39^2-36^2}[/tex]

[tex]PT=15[/tex]

------------------------

hope it helps...

have a great day!!

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