Tutorial
A line with a slope of 1 passes through the point (-2, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer 1

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (- 2, - 3 ) into the partial equation

- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1

y = x - 1 ← equation of line


Related Questions

A 67-kilogram cannon fires a 1 kilogram cannonball at 45 m/sec. If the cannon is on wheels, at what speed does it move backward?

Answers

Answer:

-1.4 m/sec  [backwards]

Step-by-step explanation:

The energy of the cannon moving should be equal to the energy contained in the cannonball.  Kinetic energy for each is calculated using KE = (1/2)m[tex]v^{2}[/tex]

Let x be the speed of the cannon.

Cannonball:  

KE = (1/2)m[tex]v^{2}[/tex]

KE = (1/2)(1kg)(45 m/sec)^2

KE = 22.5   kg*m/sec^2

Cannon:      [The cannon will have the reverse energy]

KE = - (1/2)m[tex]v^{2}[/tex]

22.5 kg*m/sec^2 = -(1/2)(67 kg)x^2

22.5 kg*m/sec^2 = -(33.5 kg)x^2

x^2 = (33.5 kg)/(22.5 kg*m/sec^2)

x^2 = -1.4 m/sec  [backwards]

QUESTION 21 PLEASE HELPPP

Answers

Answer:

one solution

Step-by-step explanation:

Since both are y-isolated equation, we can write as:

[tex]\displaystyle \large{6x-2=4x-2}[/tex]

Solve for x, first move 4x to subtract with 6x and -2 to add with -2

[tex]\displaystyle \large{6x-4x=-2+2}\\\displaystyle \large{2x=0}\\\displaystyle \large{x=0}[/tex]

Then substitute x = 0 in any of these equations which we receive y = -2.

And the solution is (0,-2) which only has one solution.

Solve 3x-5 + x= 31.
09
0-12
O 12

Answers

[tex]3x-5 +x = 31\\\\\implies 4x -5 = 31\\\\\implies 4x = 31 +5\\\\\implies 4x = 36 \\\\\implies x =\dfrac{36}4\\\\\implies x = 9[/tex]

Please help me with this please

Answers

The answer is 30

1. Find the equilateral triangle angles in this case all of them are 60
2. 90-60 to right the opposite angle that is divided in the right angle
3. The answer should be the same as angle 2

= Homework: Mo...
Ben bowled 122 and 188 in his first two games. What must he bowl in his third game to have an average of at least 160?
HOM

Answers

Answer:

i think its 195 but i am not for sure correct me if i am wrong

Step-by-step explanation:

it would 170
if you want to find the average of something you want to add up all the numbers and then divide that number by the amount of number there is
so for this i did (122+188+170)/3 which equals 160

Triangle JKL is dilated by a scale factor of 5 to form triangle J'K'L'. Side K'L'
measures 65. What is the measure of side KL?

Answers

13, I believe? Sorry if you get it wrong

One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.

Answers

Answer:

x-intercept(s):  (−1.9900717,  0)

y-intercept(s): (0, 52.5)

Step-by-step explanation:

To find the x-intercept, substitute in  [tex]0[/tex]  for  [tex]y[/tex]  and solve for  [tex]x[/tex]. To find the y-intercept, substitute in  [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .

[tex]f(x)=y[/tex]

[tex](x)=x[/tex]

x-intercept

To find the x-intercept(s), substitute in  [tex]0[/tex]  for  [tex]y[/tex]  and solve for  [tex]x[/tex] .

[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]

[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]

[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]

[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]

[tex]=0=10x^3-80x^2+65x+525[/tex]

[tex]=10x^3-80x^2+65x+525=0[/tex]

[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]

[tex]\bold{x\approx \:-1.99007\dots}[/tex]

y-intercept

[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]

[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]

[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]

[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]

[tex]=y=0-0+0-\left(-52.5\right)[/tex]

[tex]=0-0+0+52.5[/tex]

[tex]\bold{y=52.5}[/tex]

Which fractions are equivalent to the fraction below? Check all that apply.
5/7

Answers

Answer:

A. 10/14

and

C. 15/21

Step-by-step explanation:

A. 10/14

and

C. 15/21

Please look for the question in the picture.

Answers

Answer:

I beleive the missing value is -3

Step-by-step explanation:

if you plug -3 into the pink box it will give you the result of -5

(anyone is free to correct me)

what is the solution to the system 3x+2y=-3 and 9x +4y=3

Answers

Answer:

x=3, y=-6

Step-by-step explanation:

As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!

Let’s begin with our detailed answer:

As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.

So in our system of equations:

[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]

I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.

[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]

To eliminate this question we can divide the top part by -3:

[tex]\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.[/tex]

Let‘s sum these system of equation and we get: [tex]y=-6[/tex]

We can now insert y as -6 and solve for x:

[tex]3x-12=-3[/tex]

[tex]x=3[/tex]

So, [tex]x=3, y = -6[/tex]

Answer:

(3, - 6 )

Step-by-step explanation:

3x + 2y = - 3 → (1)

9x + 4y = 3 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 9x - 6y = 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - 2y = 12

- 2y = 12 ( divide both sides by - 2 )

y = - 6

Substitute y = - 6 into either of the 2 equations and solve for x

Substituting into (1)

3x + 2(- 6) = - 3

3x - 12 = - 3 ( add 12 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

solution is (3, - 6 )

Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=

Answers

Answer:

x = -2.

y = 3.

Step-by-step explanation:

If y = 3x + 9

Substitute this value for y in the first equation.

4x + 5(3x + 9) = 7

4x + 15x + 45 = 7

19x = 7 - 45

19x = -38

x = -38/19

x = -2.

with this value of x, substitute -2 in the second equation

y = 3(-2) + 9

y = -6+9

y = 3.

check if your values are all correct

4(-2) + 5(3) = 7

-8 + 15 = 15 - 8 = 7

Correct!

4
Select the correct answer.
What is a unit rate?
OA.
a rate with one in the numerator
OB.
a rate in which the numerator and the denominator are equal
Ос.
a rate with one in the denominator
OD
a rate in which the denominator is greater than the numerator

Answers

Answer:

C. A rate with one (1) in the denominator

A unit rate is basically a ratio of something to one.

example:

if 10 bananas costs ten dollars then one banana would cost one dollar.

Step-by-step explanation:

Answer:

A.  A rate with one in the numerator

Step-by-step explanation:

We can find the unit rate when given a rate by dividing the unit in the numerator by the quantity in the denominator. For example, if we are given the rate $4.50/5 gallons of milk, we can divide 4.50 by 5 to find the unit price, which is dollars per one gallon of milk. A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Giving brainilest! Find the measures

Answers

Answer:

the answers are <1 = 118°, <2 = 62°

Answer:

∠ 1 = 118° , ∠ 2 = 62°

Step-by-step explanation:

∠ 1 and 118° are corresponding angles and are congruent, then

∠ 1 = 118°

∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180°

∠ 2 + 118° = 180° ( subtract 118° from both sides )

∠ 2 = 62°

Find the quotient: 7,308 divided by 18. A) 46 B) 406 C) 406 10/18. D) 408

Answers

Answer:

7308 / 18

= 406

B is the answer.

Evaluate g(10) of g(x) =1/2x -4

Answers

Answer:

g(x)= 1

Step-by-step explanation:

[tex]g(x) = \frac{1}{2} x - 4 \\g(10) = \frac{1}{2} (10) = 5 \\ 5 - 4 = 1[/tex]

Acellus. please help me

Answers

by-step explaAnswer:

by-step epla

Step-nation:

a

If a square has a side of 4', what would the area be?
A= s2=sxs
A= 42= 4'x4
A= 16 sq. ft.

Answers

Answer:

16 sqft.

Step-by-step explanation:

A=L(W)

A=4(4)

A=16

Hope that helps

Can anyone please help? im running out of time and im so confused.

Answers

Answer:

x=8

Step-by-step explanation:

x+x+5=x+x+x-3

2x+5=3x-3

Subtract 2x from both sides.

5=x-3

Add 3 to both sides.

8=x

-hope it helps

Can you solve this? Please ( 15+ points)

Answers

Answer:

112+24x

Step-by-step explanation:

2(16+(10*4)+(x*12))

solve the inner bracket

2(16+40+12x)

solve this bracket

2(56+12x)

solve this now

112+24x

Answer:

[tex]24x+112[/tex]

Step-by-step explanation:

First of all we will start with the brackets inside the equation,

1. [tex]2[16+40+12x][/tex]

Now we can multiply 2 by all the values inside the parentheses

2. [tex]32+80+24x[/tex]

I just wanted to confirm that the big X is a variable?

Fact: Did you know that there are about 4 types of parenthese: ( ) - round brackets, [ ] - square brackets, { } - curly brackets, and < > - angle bracket.

In circle L with mZKLM 74 and KL = 10 units, find the length of arc KM.
Round to the nearest hundredth.

Answers

Step-by-step explanation:

happy to you are you happy

PLEASE HELP ME!!!!!!​

Answers

B or D so sorry these ones are confusing written like this.

Gave a lovely weekend.

Can someone please explain this problem to me? i would really really REALLY appreciate it omg

Answers

Answer:

f(0) = 3

f(-2) = -15

Step-by-step explanation:

You just have to plug in the value in f(b) into the b of the equation.

So for f(0) --> 2(0)^3 - |0-4| + 7

2(0) - |-4| + 7

0 - 4 + 7 = 3

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

for f(-2)

2(-2)^3 -|-2-4| + 7

2(-8) - 6 + 7

-16 -6 + 7 = -15

4/7 + (-6/7) Find the sum. Write fractions in simplest form.

Answers

Answer:

i dont know sorry do u know

Please look for the question in the picture.

Answers

Answer: The blue dot's value on the number line is 1.

Step-by-step explanation: Each two-skip interval from -7 to -3 is a skip of 4. Therefore, -3 skipped two times is -3 + 4, which equals 1, therefore the blue dot's value on the number line is 1.

The answer is 1. There is a difference of 4 between -7 and -3 when passing two marks on the line. Since the ? is two more marks on the line, just add -3+4. That =1.

I need help with this math problem please... 6x+2 if x=3

Answers

Answer:

20 is answer, hope it helps ypi

Answer:

20

Explanation:
6x + 2 if x = 3
6(3)+2
18+2 =20

You only have to substitute x

Hope this helps!

What is the definition of correspondence?

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

The definition of correspondence is the act of conforming or agreeing with someone or something else. An example of correspondence is when a person acts in the same way she appears to think.

In simple terms, it means communication, generally looking at two things and identifying stuff about them

Hope that helps. x

The age melat five times older than the age of hana.In ten years time the ratio of the age of hana to melat is 5:9. find the present age of hana and melat?

Answers

Answer:

carbon take x(1)+4(-2)=0

x(1)-8=0

x(1)=8

x=8

I don’t understand this please help

Answers

Answer:

i think BC = 8.5

Step-by-step explanation:

19-(2+6.5+2)

19-10.5

8.5

List all the factors of 40 from least to greatest. Enter your answer below,
using a comma to separate each factor,
Answer here
TI
SUBMIT

Answers

There are 8 factors of 40, which are 1, 2, 4, 5, 8, 10, 20 and 40.

Answer:

1,2,4,5,8,10,20,40

Step-by-step explanation:

Have a nice day

A pet shop offers an iguana for $80 and a parakeet for $40. During a sale, Chris bought the iguana at a 40% discount and the parakeet at a 55% discount. The total amount saved on Chris's new pets was what percent of the total of their original prices?

Answers

Answer:

He save 55$+50$ which is 105$

Step-by-step explanation:

total for iguana is 135$ and parakeet is 90$

= 225$

Other Questions
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