Use point-slope form to write the equation of a line that passes through the point
(-3, -16) with slope -
1/2

Answers

Answer 1

Answer:

Step-by-step explanation:

Point slope form: y - y1 = m(x -x1)

[tex]y - [-16] = \dfrac{1}{2}(x - [-3] )\\\\y + 16 = \dfrac{1}{2}(x + 3)\\\\\\y + 16 = \dfrac{1}{2}x + \dfrac{3}{2}\\\\y =\dfrac{1}{2}x+\dfrac{3}{2}-16\\\\y=\dfrac{1}{2}x +\dfrac{3}{2}-\dfrac{32}{2}\\\\\\y=\dfrac{1}{2}x - \dfrac{29}{2}[/tex]

Answer 2

Answer:

[tex]y= -\frac12 x +\frac{29}2[/tex]

Step-by-step explanation:

Let's start with the point- slope form:

[tex]y-y_0=m(x-x_0)[/tex]

and replace the values we have

[tex]y-(-16) = -\frac12 (x-(-3))[/tex]

We're almost there, we just need to write it in a better looking form.

[tex]y+16= -\frac12 (x+3)\\y=-\frac12 x - \frac32 + \frac{32}2\\y= -\frac12 x +\frac{29}2[/tex]


Related Questions

.Question.[Mathematics]

6! =

7! =

Answers

[tex] \: \: \: \: \: \: [/tex]

[tex]6! = 720 \\ \\ 7! = 5040[/tex]

Step-by-step explanation:

[tex]6![/tex]

Usen! -n × ( n - 1 )×...× 2 x 1 to = calculate the factorial

[tex]6 \times 5 \times 4×3× 2×1[/tex]

calculate the product

[tex] = 720[/tex]

[tex]7! = [/tex]

Usen! - nx(n-1)×...*x2x1 to = calculate the factorial

[tex]7 \times 6 \times 5 \times 4×3×2×1[/tex]

calculate the product

[tex] = 5040[/tex]

hope it helps

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

720 and 5040

Step-by-step explanation:

Using the definition of n! ( n factorial )

n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER

Answers

Answer:

for line b - the slope is 0, not undefined. an undefined slope is a vertical line.

for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.

Yes it’s 1/3 and then tier 2 on the right.

The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length.

Answers

Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches

Area of a square =

s = side length of the square

Hence, we have ;

150 = s²

s = √150

s = 12.247

Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.

Learn more : https://brainly.com/question/25562438

4(x + 3) + 3x = 24

Step by step please

Answers

Answer: 12/7

Step-by-step explanation: steps in pic, hope this helps!

what is the distance of E(7.3) and F (-2,6)

Answers

An(5.4)

Step-by-step explanation:

pls help!! will mark as brainliest​

Answers

Answers:

B:

1. 2

2. 3

3. 1

4. 4

5. 2

C (Leading term):

1. 3x

2. x^4

3. 7

4. x^2

5. 2x^2

C (Degress of the Polynomial):

1. 1

2. 4

3. 0

4. 2

5. 2

What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 5x + 3; f(x) = -3



(2, [?]); ( ), ( )

Answers

Given that

[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]

Answer:

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

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )

which number is closest to 0.02
A. 0.019
B. 0.04
C. 0.1
D. 0

Answers

Answer: 0.019

Step-by-step explanation: 0.019 is the only closest number to 0.020, others are much less than 0.020.

Solve for m.
13m – 34m + 42m - 22m + 8 = -41

Answers

Answer:

m=14

Correct me if I'm wrong ^•^

Answer:

m = -49

Explanation:

Combine like terms

13m - 34m + 42m - 22m + 8 = -41

-m + 8 = -41

Subtract 8 from both sides of the equation

-m + 8 = -41

-m + 8-8 = -41 -8

Simplify

Subtract the numbers

-m = -49

work out the equation of the line which has a gradient of 1/2 and passes through the point (-4,2)

Answers

the answer should be y=1/2x+2

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

pls help me out quick,

Answers

Answer:

Step-by-step explanation:

1. 2x + 3y = 1,470

–2x –2x

3y = –2x + 1,470

3y/ 3 = –2x/3 + 1,470/3

y = –2x/3 + 490

The y-intercept of this equation is 490 and the slope is -2x/3.

2. I would graph this line by finding the y-intercept 490 first.

Then, you would move down twice from 490 to 488.

Finally, you would move to the right 3 times.

3. F(x) = –2x/3 + 490

The graph would represent the profit of Sal’s Sandwich Shop on every sandwich and wrap from the lunch specials last month.

PLEASE HELP!

Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.

∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?

DE = ______ m∠E = ________

Answers

Answer:

DE = ____24__    m∠E = ____22____

Step-by-step explanation:

I hope this helps

What will balance two spheres?
RIGHT ANSWER GETS BRAINLIEST PLS HELP

Answers

Answer:

1 cylinder

Step-by-step explanation:

cylinder is x, cube is y, and sphere is z

x+y=6z

2x=y

plug in

3x=6z

x=2z

cylinder

tell the number of decimal places that will be in the product

1. 6.3×0.75=___
2. 9.7×48.8=____
3. 5.96×62.15=___
4. 37.6×8.3=____​

Answers

Answer:

3242

Step-by-step explanation:

The number of decimal places in the product is the sum of the numbers of decimal places in the factors.

1. the factors have 1 and 2 decimal places, so the product will have 1+2 = 3 decimal places.

2. 1 + 1 = 2 decimal places in the product

3. 2 + 2 = 4 decimal places in the product

4. 1 + 1 = 2 decimal places in the product

_____

Additional comment

If the factor has m decimal places, the place value of its least-significant digit is 10^-m. Similarly, if the factor has n decimal places, the place value of its least-significant digit is 10^-n. When these numbers are multiplied, the place value of the least-significant digit of the product is (10^-m)(10^-n) = 10^-(m+n). That is, there will be m+n decimal places in the product.

Note that the product in problem 3 is 370.4140. That is, the least-significant digit of the product is zero. Many calculators will not show that zero, giving the (false) impression that the product has only 3 decimal places.

Answer:

4.725

2.473.6

3.370.414

5.312.08

Step-by-step explanation:

Two types of binocular depth cues are __________ and __________. A. Motion parallax. . . Pictorial depth cues B. Convergence. . . Retinal disparity C. Motion parallax. . . Retinal disparity D. Convergence. . . Pictorial depth cues Please select the best answer from the choices provided A B C D.

Answers

B. Convergence… Reginal Disparity

Answer:

D. Convergence hope it helps

Which is the function represented by the table?

Answers

Answer:

its the first one on the list bc when x is 0 you get f(x) = 1 and thats the only fjnction that does that with all of them.

Answer:

f(x) = - 2x + 1

Step-by-step explanation:

The equation of a linear function in slope- intercept form is

f(x) = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table

m = [tex]\frac{-3-3}{2-(-1)}[/tex] = [tex]\frac{-6}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

The function crosses the y- axis at (0, 1 ) ⇒ c = 1

f(x) = - 2x + 1

I need help with dis. (*_*)

Answers

Answer:

Uh, okay...

Step-by-step explanation:

A) -40-180=-220

B)-220-175=-395

C)-395-185=-585

D) Sorry I can't read it my eyesight's bad TwT

the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost​

Answers

Answer:

48

Step-by-step explanation:

First find the amount of the markup

40 * 20%

40 *.2

8

Add this to the original price

40+8 = 48

If y=-2 then 2y-1 equals

Answers

Answer:

-5

Step-by-step explanation:

Plug the first equation into the expression

2y-1 = 2(-2) - 1 = -4 - 1 = -5

Answer:

-5

Step-by-step explanation:

2y - 1

2(-2) - 1

-4 - 5

-5

Marie and Amy are cutting ribbons to attach to balloons for Amy's birthday party. Each guest's chair will have on balloon tied to it. each ribbon is 2/3 of a yard and they have 6 yards of ribbon in total. How many ribbons will they cut. A. 1/9 B.4 C.8 D. 9


PLS ANSWER QUICK FIRST RIGHT ANSWER WILL BEE MARKED AS BRAINLEIST

Answers

Answer:

D 9

Step-by-step explanation:

1 ribbon ---- 2/3 yards

x          ------  6 yards

6 * 1 = 2/3 * x

6 = 2/3 x

18/2 = x

x = 9

9 ribbons can be cut from 6 yards of ribbon

How much would it cost Matt to buy 2½ metres? when it is 9.50 per metre

Answers

Answer: 23.75

Step-by-step explanation:

1. A person who weighs 100pounds on Earth weighs 16.5 pounds on the Moon. If a boy
weighs 86pounds on Earth, how much does he weigh on the moon

Answers

Answer:

That person would weigh 14.22 lbs.

1. The diameter of each tire on a model car is 10.668 mm. The actual diameter of a car's tire is 5.29 X 102 mm. About how many times larger is the actual diameter of a car tire than the diameter of the tire on the model car? A 5 times B 50 times +90 100 times D 500 times​

Answers

The number of times the actual diameter is larger than the model is 50 times.

A tire has the shape of a circle. The diameter is line that goes through the center of a circle and divides the circle into two.

In order to determine how many times larger the actual diameter is greater than the model, the actual diameter would be divided by the diameter of the model.

5.29 x 10² ÷ 10.668

529 ÷ 10.668

= 49.6

= 50 times

Please find attached an image of a circle. To learn more, please check: https://brainly.com/question/13590859

SIMPLE INTEREST:
Jessie deposited P150,000 in an account that pays 3% simple interest.How much interest will he earn after 10 years?​

Answers

Answer:

use the formula( I=PTR/100)

Which of the following is 3.761 written in expanded notation?

A) (3 x 1) + (7 x 110) + (6 x 1100) + (1 x 11000)
B) (3 x 1) + (7 x 110) + (6 x 110) + (1 x 1100)
C) (3 x 1) + (7 x 110) + (1 x 1100) + (6 x 11000)
D) (3 x 1) + (7 x 110) + (6 x 110) + (1 x 1100)


WORTH 40 POINTS

Answers

Answer:

To write a number in expanded form, divide it into digits and display the value of each one. As a result, 144 would be 100 + 40 + 4 = 144.

Step-by-step explanation:

7.90×10^−2/1.0×10^−5

Answers

Answer:

[tex] \frac{7.90 \times {10}^{ - 2} }{1.0 \times {10}^{ - 5} } \\ = 7.9 \times {10}^{5 - 2} \\ = 7.9 \times {10}^{3} [/tex]

how to slove and answer 11r+60=16

Answers

Answer:

r= -11

Step-by-step explanation:

11r + 60=16

we can see that 11x r + 60 = 16

but thats the problem ! we don't know what r is so

lets get r on its own

11r + 60 =16

subtract 60 from each side

60 -60 =0

left side = 11r

16-60 = -44

right side = -44

11 r = -11

divide both sides by 11

11r divided by 11 = r

-44 divided by 11 = -11

r=-11

I answered your question so plz mark as brainliest!xxxx

pls help me find the answer-

Answers

Answer:

answer in pic, hope it helps

+ 1 x 4
2-
ax + b
can be written as a single fraction in the form
X2 x + 2
x² - 4
where a and b are integers.
x+ 2 x -
Work out the value of a and the value of b.

Answers

[tex]2 - \frac{x+1}{x-2} - \frac{x-4}{x+2} = \frac{2(x-2)(x+2)}{(x-2)(x+2)} - \frac{(x+1)(x+2)}{(x-2)(x+2)} - \frac{(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2x^{2} -8-x^{2}-3x-2-x^{2} +6x-8 }{x^{2} -4} \\=\frac{3x+(-18)}{x^{2} -4}[/tex]

so : a = 3   b = -18

ok done. Thank to me :>

Sundas is making homemade greeting cards. The data table below represents the amount she spends in dollars, f(x), in terms of the number of cards she makes, х T(x) 4 7.50 6 9 9 11.25 10 12​

Answers

Brainliest please if correct

the function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.

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