Write the equation of the line, with the given properties, in slope-intercept form.
Slope = -2, through (-4,6)

Answers

Answer 1

Answer:

y= -2x -2

Step-by-step explanation:

slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

Given that the slope is -2, m= -2.

Susbt. m= -2 into the equation:

y= -2x +c

To find the value of c, substitute a pair of coordinates.

When x= -4, y= 6,

6= -2(-4) +c

6= 8 +c (expand)

c= 6 -8 (-8 on both sides)

c= -2 (simplify)

Thus, the equation of the line is y= -2x -2.


Related Questions

Let sin(45°)=0.7071.Enter the angle measure (μ), in degrees for cos(μ)=−0.7071.
any value equivalent to 360n +
, wheren is an integer

Answers

Given :

Let sin(45°)=0.7071.

To Find :

The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .

Solution :

We know , value of sin x and cos x is same at x = 45° .

Now , cos (-x) = cos(90°+x)

Therefore , μ in given question is :

μ =90°+45°

μ=135°

So , for angle of type 360°n + :

μ = 360°n + 135° .

Hence , this is the required solution .

A factory uses 1/3 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 2/3 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

Answers

Answer:

2

Step-by-step explanation:

since it takes 1/3 to make one batch then you have 2/3 it means yesterday they made 2 batches

Which number line have a point that is equal to point p? Check all that apply

Answers

A and C is the answer

Answer: A and C

Step-by-step explanation:

How do I simplify -11+5+6(-6+13)^2

Answers

Answer:

288

Step-by-step explanation:

To simplify use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)

First simply -6 and 13 (since they are in the parenthesis)

-11+5+6(7)^2

Now find out what 7^2 is

-11 + 5 + 6(49)

Next multiply 6 and 49 (294)

Lastly add 5 then subtract 11 from it

299-11

288

Answer:

Hello! :) I hope I am correct!

Step-by-step explanation:

(The answer should be 288)

Below is the steps!!

Steps:

⇒-6+6(-6+13)^2

⇒-6+6(7^2)

⇒-6+(6)(49)

The answer would be 288 if you solve this equation.

The last step:

⇒-6+294

Which equals 288

Therefore your answer would be 288.

Hope this helps!

By:BrainlyAnime! ^-^

(Just in case you didn’t understand, I attached a picture!)

JUST ANSWER ME PLEASE

Do the ratios 20/10 and 1/2 form a proportion?

Answers

Answer:

no

Step-by-step explanation:

they do not form a proportion because they are not equivalent to each other.

Write x < -3 in set-builder notation

Answers

Answer:

{x is a set of Z, x<-3}

Step-by-step explanation:

Z-integer

Evaluate the expression when g=3 and h=39.
h-5g

Answers

Answer:

29

Step-by-step explanation:

g=3 h=39

h-5g

Substitute the values in for the variables :

39-5(3)

Order of operations: multiply first

39-15

=24

Hope this helps :)

Mr. Smith set aside 5/6 of an hour for homework after school each day. How many hours of homework does he do in 5 days?

4 1/6 hours
3 1/2 hours
4 1/2 hours
50 minutes

Answers

The answer is 1/2 hours

Can someone please help me I need help

Answers

Answer:

C and B.

Step-by-step explanation:

f(x) = 4 - x^2.

The degree of f(x) is 2, which means it is a quadratic graph. The coefficient of x^2 is negative, which means the curve is pointing downwards. The only curve that satisfies this is Graph C.

f(x) = 2^x + 5.

Notice that 2^x is positive for all real values of x. Therefore the answer is Graph B.

The first one is graph c. The second is graph b.

the difference of a number x and 5

Answers

Answer:

x-5

Step-by-step explanation:

"difference" means subtraction. since there isn't a specific number given then we can use x. "and" indicates where the symbols goes.

what is 18 less than the quotient of a number and 3 as an expression

Answers

Answer:

n/3 - 18

Step-by-step explanation:

"quotient of a number and 3" is n/3, and so

"18 less than the quotient of a number and 3" as an expression is:

   n/3 - 18

If 26 out of 100 high school students plays high school sports, what fraction
and what percentage of high school students do not play sports?
Check all that apply

Answers

Answer:

26%, 26/100

Step-by-step explanation

The total students will your denominator, and the number "out of" the total will be your numerator, so the fraction is 26/100. Next, convert the fraction into a decimal by dividing 26 by 100, making it 0.26. To convert a decimal into a percent, move the decimal two places to the right, ie, 0.26 becomes 26%.

Answer:

74/100 and 74%

Step-by-step explanation:

solve this please
[tex]5x - 2(4x + 11) = 14[/tex]

Answers

Answer:

Step-by-step explanation:

5x - 8x - 22 = 14

-3x - 22 = 14

-3x = 36

x = -12

Answer:

x = -12

Step-by-step explanation:

5x - 2(4x+11) = 14

5x - 2*4x -2*11 = 14

5x - 8x - 22 = 14

-3x = 14 + 22

-3x = 36

x = 36/-3

x = -12

Check:

5*-12 -2(4*-12 + 11) = 14

-60 -2(-48+11) = 14

-60 -2(-37) = 14

-60 + 74 = 14

A bag of marbles contains 3 red marbles, 7 blue marbles, and 5 orange marbles. If a marble is drawn from the bag and not replaced, then a second marble is drawn. Calculate P(red then orange):

Answers

Answer:

[tex]\dfrac{1}{14}[/tex].

Step-by-step explanation:

It is given that,

Red marbles = 3

Blue marbles = 7

Orange marbles = 5

Total marbles = 3+7+5 = 15

Probability of getting a red marble is

[tex]P(Red)=\dfrac{\text{Red marbles}}{\text{Total marbles}}[/tex]

[tex]P(Red)=\dfrac{3}{15}[/tex]

[tex]P(Red)=\dfrac{1}{5}[/tex]

If a marble is drawn from the bag and not replaced. So remaining marbles is 15-1=14. Now,

Probability of getting an orange marble is

[tex]P(orange )=\dfrac{\text{Orange  marbles}}{\text{Total remaining marbles}}[/tex]

[tex]P(orange)=\dfrac{5}{14}[/tex]

Now,

[tex]P(\text{red then orange})=P(Red)\times P(orange)[/tex]

[tex]P(\text{red then orange})=\dfrac{1}{5}\times \dfrac{5}{14}[/tex]

[tex]P(\text{red then orange})=\dfrac{1}{14}[/tex]

Therefore, the required probability is  [tex]\dfrac{1}{14}[/tex].

Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample’s volume?

Answers

Answer:

volume of the sample is 10 cm³

Step-by-step explanation:

volume = 80 g / 8 g/cm³

volume = 10 cm³

I hope this helps you :)

-KeairaDickson

Evaluate each expression. 12k − h​ 2​; use h = 2, and k = 3

Answers

12(3)-(2)2
36-4
Answer: 32
Hopes this helps & if I don’t get it right I’m sorry

Is 8/5
an irrational number?

Answers

No, it’s not. It’s a rational number

I need help finding the Function notation

Answers

Answer:

  1.5, -8, 0, 2f, 2/3

Step-by-step explanation:

j(x) = 2x means the function name is j, and it is a function of the variable x. To evaluate the function, you put the given value everywhere you see x, and do the arithmetic.

  j(0.75) = 2(0.75) = 1.5

  j(-4) = 2(-4) = -8

  j(0) = 2(0) = 0

  j(f) = 2f

  j(1/3) = 2(1/3) = 2/3

Susie and Peggy arrive at the fair with $32.50. The entrance fee per person is $7.50 and each ride costs $2.50 per person. What is the total number of rides they can go on if they each pay the entrance fee? Write and solve an equation for this situation

Answers

32.50 - (7.50*2) = 17.50

17.50 / 2.50 = 7

Evaluate the following function over the domain {0,1,2,3}. What is the range? g (x) = -2x^{2} + 2

Answers

Answer:

the range= {-16, -6, 0, 2}

Step-by-step explanation:

domain={0,1,2,3}

g(x)= -2x^{2} + 2

g(0)= -2(0)^{2} + 2 =2

g(1)= -2(1)^{2} + 2 =0

g(2)= -2(2)^{2} + 2= -6

g(3)= -2(3)^{2}+ 2= -16

the range = {-16, -6, 0, 2}

Write the improper fraction 33/10 as a mixed number

Answers

the answer is 3 3/10

hope this helps

Answer = 3 3/10

there’s 33 take away the ones that go to ten.

10 10 and 10 is 30. Therefore it’s 3 and 3/10

A runner completed a 26.2 mile marathon in 5 hours. a) What is her speed in miles per hour? b) What is her speed in feet per second? Note that there are 5280 feet in 1 mile.

Answers

Step-by-step explanation:

in this problem, we are expected to convert from miles per hour to feet per second

a). What is her speed in miles per hour?

we know that speed= distance/ time

given that

distance= 26.2 mile

time= 5 hours

substitute and solve for speed we have

speed= 26.2/5

speed= 5.24 miles per hour

b) What is her speed in feet per second?

1 mile per hour is 1.46667 feet per second

5.24 miles per hours will give x

cross multiply to solve for x we have

x= 5.24*1.46667

x= 7.68 feet per seconds

If a car travels 600 meter in 20 seconds how fast is it going

Answers

Answer:

30 meters per second

Step-by-step explanation:

Step 1:

600 ÷ 20 = 30

Answer:

30 meters per second

Hope This Helps :)

Answer:

30 m /s

Step-by-step explanation:

We are looking for the speed

d/t = speed

600m / 20 second

30 m /s

Last month, Jim ate 4 strawberries. Finn ate 1/8 as many strawberries as Jim did. How many strawberries did Finn eat?

Answers

Answer:

He ate 0.5 strawberry

Step-by-step explanation:

4÷8 or 4×(1/8) =0.5 strawberry

Edit 1: Typo

Answer:

1/2 or half a strawberry

Step-by-step explanation:

1/8*4

An adults heart beats about 2100 times every 30 minutes.A baby beats about 2600 times every 20 minutes. How many more heart beat i 60 minutes than an adults hearts?

Answers

Given :

An adults heart beats about 2100 times every 30 minutes.

A baby beats about 2600 times every 20 minutes.

To Find :

How many more heart beat baby have than adult in 60 min .

Solution :

Now , total number of heart beats of adult in 60 min , [tex]T_a=2100\times 2=4200[/tex]

Also , total number of heart beats of adult in 60 min , [tex]T_b=2600\times 3=7800[/tex]

Difference between them , [tex]7800-4200=3600[/tex] beats .

So , baby have 3600 more heart beats than adult .

Hence , this the required solution .

If a/\2+1/a/\2=11, then a+1/a=?

Answers

Answer:

[tex] \pm \sqrt{13} [/tex]

Step-by-step explanation:

[tex] \bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13} [/tex]

1. 6(8+7)=6∙8+6∙7 (this is an example of which property?)


A) Associative (addition)

B) Associative (multiplication)

C) Commutative

D) Distributive


Answers

Answer:

d: distributive

Step-by-step explanation:

8 ( 8 + 7 ) = 6 x 8 + 6 x 7, it may seem like commutative, except it pulls the parentheses  out making it distributive.

what is the answer?

1/3x + 4 = x - 2

Answers

Answer:

The answer is x = 9

Step-by-step explanation:

(1/3)*x+4 = x-2 // - x-2

(1/3)*x-x+2+4 = 0

6-2/3*x = 0 // - 6

-2/3*x = -6 // : -2/3

x = -6/(-2/3)

x = 9

- 3c = - 5 — 4с
I want to know the answer

Answers

Answer:

c=-5

Step-by-step explanation:

Question /
Alice is three more than twice Emma's age. The sum of their ages is 48. How old is Alice?

Answers

Answer:

Alice is 33 years old.

Step-by-step explanation:

Alice is 3 more than twice Emma's age:

E = Emma

A = Alice

A = 3 + 2E

Sum = 48 years

So,

A + E = 48

(3+ 2E) + E = 48

3 + 2E + E = 48

3 + 3E = 48 (-3 both sides)

3E = 45

E = 45/3

E = 15

Emma is 15 years old.

A = 3 + 2E

A = 3 + 2(15)

A = 3 + 30

A = 33

Alice is 33 years old.

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