find the equation of the line that is parallel to y=x-3 and contains the points (3,-2)

Answers

Answer 1
Answer:

y = [1]x + [-5 ]

Step-by-step explanation:

the equation is : y = ax+b

the slope is a : a =1 ( same slope parrallal to the line : y= x-3 )

the line that passes through (3, -2) : -2 = (3)+b
b = -5

the equation is : y = x-5

Related Questions

Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x.

Answers

Answer:

Hence the correct answer is Add 8x to both sides of the inequality.

Step-by-step explanation:

Step 1: Subtract 3 from both sides of the inequality.

Step 2: Add 8x to both sides of the inequality.

Step 3: Divide both sides of the inequality by the coefficient of x.

The inequality  

5 - 8x < 2x + 3.

The sum of 2 consecutive integers 117 what are the integers

Answers

Answer:

58,59

Step-by-step explanation:

Let x be the first integer

x+1 be the next consecutive integer

x + x+1 = 117

2x+1 = 117

2x +1-1 =117-1

2x = 116

2x/2 = 116/2

x = 58

x+1 = 59

5. PLEASE HELP ME
Write the equation in standard form. Then factor the left side of the equation.

2x2 + 7x = 15


A. (2x – 3)(x + 5) = 0

B. (2x + 3)(x + 5) = 0

C. (2x + 5)(x – 3) = 0

D. (2x – 5)(x + 3) = 0

Answers

Answer:

7x=11

Step-by-step explanation:

do it

ef is the median of trapezoid abcd (please explain the answer im so confused lol)

Answers

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

[tex]EF = ( BC + AD ) / 2[/tex]

Insert known equations.

[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]

Simplify within parentheses.

[tex]4x-18=[x+12+3x-4]/2[/tex]

[tex]4x-18=[x+3x+12-4]/2[/tex]

Add.

[tex]4x-18=[4x+8]/2[/tex]

Divide.

[tex]4x-18=2x+4[/tex]

Simplify.

[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]

[tex]2x=22[/tex]

Divide both sides by 2.

[tex]x=11[/tex]

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

[tex]BC =x+12[/tex]

[tex]BC = 11+12[/tex]

[tex]BC = 23[/tex]

-

[tex]AD = 4x-18[/tex]

[tex]AD = 4(11)-18[/tex]

[tex]AD = 44-18[/tex]

[tex]AD = 26[/tex]

-

[tex]EF = 3x-4[/tex]

[tex]EF = 3(11)-4[/tex]

[tex]EF = 33-4[/tex]

[tex]EF = 29[/tex]

Answer:

Part I: x = 11

Part II:

BC = 23AD = 26EF = 29

2. Given the function f : x -> |x+8|, find the possible values of x when the image is 3.

Answers

Answer:

f (x)=11

Step-by-step explanation:

f (x)= x + 8

f (3)= (3 +8)

=f(x) =11

**replace the x with a variable which is 3

PLEASE HELP! I'LL GIVE BRAINLIEST:)

The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is (2, -3) (2, 3) (-2, 3)

Answers

Step-by-step explanation:

We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :

[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

Given, the equation of circle

[tex] {(x + 2)}^{2} + (y - 3) ^{2} = 25 = {5}^{2} [/tex]

By comparing, we will get,

h = -2

k = 3

So, center of the circle is ( -2,3)

[tex]\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \bf\:Mark\\\bf\:me\:as\\\bf brainliest \end{array}}}} \\ [/tex]

Answer:

-2;3

Step-by-step explanation:

we have a formular

(x-a)^2 +(y-b)^2=c

the center of the cirlce is (a;b)

so in this case it's (-2;3)

What is the measure of

Answers

Answer:

try D

Step-by-step explanation:

If you can show the work please its due in 1 hour 15 points and marking brainliest.

Answers

Answer:

[tex]a) \: \: 7x[/tex]

[tex]b) \: \: 12 {x}^{2} - 5x[/tex]

[tex]c) \: \: - 3x + 4[/tex]

Step-by-step explanation:

[tex]a) \: \: 4x+7x−3x−x \\ 11x−3x−x \\ 8x−x \\ 7x[/tex]

[tex]b) \: \: 7 {x}^{2} −6x+5 {x}^{2} +x \\ 12 {x}^{2} −6x+x \\ 12 {x}^{2} - 5x[/tex]

[tex]c) \: \: 9−4x−5+x \\ −4x+4+x \\ −3x+4[/tex]

Hope it is helpful....

Solve: 3w + 2 = 20 Write a real world problem that this equation represents.

Answers

Step-by-step explanation:

3w + 2 = 20

       -2    -2

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

3w = 18

----    ----

 3       3

   w = 6

You and your 2 friends have 20 fruits in total and your friend's mother gave you and your friends two more.

Hope this helped.

Given :

Equation – 3w + 2 = 20

Solution :

3w + 2 = 20

Transpose 2 to the right hand side of the given equation

3w = 20 - 2

Now, simplify the right hand side

3w = 18

Cross multiply

w = 18/3

w = 6

Hence, the solution of the equation is 6

what function equation is represented by the graph?

Answers

Answer:

maybe f(x)= -2/3 x + 1 since it goes down two times or up two times and three times to the left or right depending where you wanna go i don't know how to explain but maybe this might help

sin(2x-pi/2)=sin pi/3

Answers

This is the answer for your question!

If d= the number of dogs ,which variable expression represents the phase below? The sun of the number of dogs and the 6 cats

Answers

Answer:

d + 6

Step-by-step explanation:

Given that :

Number of dogs = d

The sum of the number of the number of dogs and 6 cats is :

This is a straightforward question :

We take the sum of d and 6

Hence, we have

d + 6

Find the value of x in the figure.

X= _

Answers

Answer:

x=35

Step-by-step explanation:

For a polygon with n sides, the sum of its interior angles is equal to

(n-2) * 180

Here, there are 6 sides, so the sum of this polygon's interior angles is equal to (6-2)* 180 = 720

Therefore, the sum of the interior angles is 720. We can add them up to get

(4x-5) + 117 + (3x-3) + (3x+6) + 118 + 4x-3

= 14x +230 = 720

subtract 230 from both sides to isolate the x and its coefficint

14x = 490

divide both sides by 14 to get x

x=35

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 247 cubic units.
What is the height of the cylinder?
O 2 units
O 4 units
O 6 units
O 8 units

Answers

It should be 6 units ..l hope this help

The height of the cylinder is 6 units.

What is cylinder?

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

Given that, the height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.

Volume = π × radius² × height

Let the height of 3x then the radius will be x,

24π = π × x² × 3x

24 = 3x³

x = ∛8

x = 2

Therefore, height = 6

Hence, the height of the cylinder is 6 units.

Learn more about cylinders, click;

https://brainly.com/question/16134180

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What is the domain of the function graphed below?

Answers

Answer:

(-2,4] and [7,α)

Step-by-step explanation:

the domain is open at -2 but closed at 4 and also closed at 7 but open till infinity..

The domain of the given function is (-2,4] U [7, ∞), which is the correct option (B).

What is a piecewise function?

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = x²+1 if (-2,0]

This the sub-function define between the interval (-2,0].

f(x) = -1 if (0, 4]

This the sub-function define between the interval (0, 4].

f(x) = -(x-7)² if [7, ∞)

This the sub-function define between the interval [7, ∞).

Thus, the domain of the given function is (-2,4] U [7, ∞).

Learn more about the piecewise function here:

https://brainly.com/question/12700952

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pls help i need to finish this !!

Answers

Answer:

a

Step-by-step explanation:

it's non-linear

Step-by-step explanation:

the functions linear because as x increases by 4, y is increasing by 12 at a constant rate

Find the perimeter of the following figure. ​

Answers

Answer:

10 meters

Step-by-step explanation:

Perimeter= 3+3+2+2

=10

Have a nice day:)

Consider triangle GHJ in the figure below.
please help :)

Answers

Answer:

The picture isnt really showing for me

Step-by-step explanation:

It's either me or the picture.

what is value of y and x if 3x+2y=2 and 2x+3y=4​

Answers

We need to form a system of equations:

3x + 2y = 2

2x + 3y = 4

Now, we can multiply the first equation by 2, and the second equation by 3, to even out the coefficients by the variables (to make them the same thing).

6x + 4y = 4

6x + 9y = 12

Next, we can subtract the second equation from the first. We get:

0x - 5y = -8

Then this becomes:

-5y = -8

÷-1    ÷-1

5y = 8

÷5    ÷5

y = 1.6

Substitute 1.6 for y in one of the equations:

2x + 3(1.6) = 4

2x + 4.6 = 4

2x = -0.6

÷2      ÷2

x = -0.3

Answer: [tex]\Large \boldsymbol{(-0,4 \ \ ; \ \ 1,6)}[/tex]

Step-by-step explanation:

[tex]\displaystyle \Large \boldsymbol{} - \left \{ {{3x+2y=2} \ \ |\times3\atop {2x+3y=4}\ \ |\times2} \right. => \\\\\\\ 9x-4x+6y\!\!\!\!\!\!\diagup-6y\!\!\!\!\!\!\diagup=6-8 \\\\5x=-2 \\\\x=-0,4 \ \ ; \ \ y=(2+1,2):2 =1,6[/tex]

Can u help solve this

Answers

Answer:

Sure:)! the answer is-487.5

Step-by-step explanation:

1.3x3xr^31.3x3=3.93.9r^3r=55x5x5=1253.9x125=487.5

As said in the problem pie=3 as determined in the problem. Hence, the answer is 487.5

Hope this helps :)!

Step-by-step explanation:

[tex]volume = \frac{4}{3} \pi \: {r}^{3} \\ = here\pi = 3 \\ then \: v = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]

Plssssss help!!! On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.

Answers

The total distance traveled in two days would be 380 miles.

Let's see how we calculate the distance.

Distance is calculated by multiplying speed with time. So,D = S * TS = D ÷ T

Given that,

Speed on first day = 40 mph

Since,

Speed = Distance/Time

∵ 40 = [tex]d_{1}[/tex]/[tex]T_{1}[/tex]   ...(i)

Speed on the second day = 60 mph

Distance traveled =  [tex]d_{1}[/tex] - 20

Time taken = [tex]T_{1}[/tex] - 2

Since,

Speed = Distance/Time

∵ 60 = ([tex]d_{1}[/tex] - 20)/ ([tex]T_{1}[/tex] - 2) ...(ii)

As we know,

Total distance = [tex]d_{1} + d_{2}[/tex]

=  [tex]d_{1}[/tex] + [tex](d_{1} - 20)[/tex]

= 2[tex]d_{1}[/tex] - 20  ...(iii)

From (i), we can deduce that,

[tex]d_{1}[/tex] = 40[tex]T_{1}[/tex]

[tex]T_{1}[/tex] = [tex]d_{1}[/tex]/40

Now, by putting the values of [tex]d_{1}[/tex] and [tex]T_{1}[/tex]  in equation (ii), we get

60 = ([tex]d_{1}[/tex] - 20)/ ([tex]T_{1}[/tex] - 2)

⇒ [tex]d_{1}[/tex] - 20 = 60([tex]T_{1}[/tex] - 2)

⇒ [tex]d_{1}[/tex] - 20 = 60[tex]T_{1}[/tex] - 120

⇒ [tex]d_{1}[/tex] - 20 = 60 * (

⇒ [tex]d_{1}[/tex] = 3

⇒ [tex]d_{1}[/tex] - 3

⇒ - [tex]d_{1}[/tex]/2 = -100

[tex]d_{1}[/tex] = 200

By substituting the value of [tex]d_{1}[/tex] in equation (iii),

Total distance = 2[tex]d_{1}[/tex] - 20

= 2(200) - 20

= 400 - 20

= 380 miles

Learn more about 'speed and distance' here:

brainly.com/question/12577966

to use the Pythagorean theorem, we need

a. right triangle with 2 known angles and 1 side
b. right triangle with 2 known angles
c. right triangle with 1 known side and 1 known angle
d. right triangle with 2 known sides​

Answers

Answer:

sfygyisfislsiyitiyjhjs hjgks6skyk

Step-by-step explanation:

jzsisfyisyistoisisooots
I say its the letter c

Find the measure of one interior angle for the following regular polygon

Answers

To find the sum of the interior angles you use the formula (n-2)(180), where n is the number of sides. In this case, the number of sides is 12, so you get 1800 degrees. Then you divide by number of angles which is 12. So your answer is 150 degrees.

If MN = 5, NO = 13, then LM = (Blank 1). (Round your answer to one decimal place, as necessary.)

Answers

Answer:

8.1 = LM

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

13 * 5 = LM^2

65 = LM^2

sqrt(65) = LM

8.06225 = LM

To one decimal place

8.1 = LM

lvan earned $8 each time he walks his neighbor's dog. he already walked the dog 5 times.
How many more times does her need to walk the dog to earn enough money to buy a game that costs $88
__? more times

Answers

Answer: 6 more times


Explanation:
Start by finding out that 8x5=40 since he already walked the dog 5x for 8$each

Then you subtract that 40 from 88 and end up with 48

Then you divide that 48 by 8 since that’s the amount of money he makes per walk and end up with

6 walks

What is the midpoint of the segment shown below?
10
O A. (-1,-1)
(-11, 0)
O B. (-2, -3)
O C. (-1, -3)
- 10
10
(9,-1)
- 10
D. (-2, -1)

Answers

Answer:

(-1,-0.5)

Step-by-step explanation:

Find the solution to this problem by using the midpoint formula which is (x1+x2/2,y1+y2/2) plug in the values of y and x to get -11+9/2+0-1/2. simplify to get the solution of (-1,-0.5)

The domain for f(x) and g(x) is the set of all real numbers.


Let f(x) = x2 + 1 and g(x) = 3x.


Find f − g.


A.
x2 + 3x + 1


B.
x2 + 3x


C.
3x3 + 3x + 1


D.
x2 − 3x + 1

Answers

Answer:

D

Step-by-step explanation:

(f-g)(x) = x^2+1-3x= x^2-3x+1

Which number is rational?

A. -3 1/2
B. sqrt 5
C. Pi
D. 9.23157 ...

Answers

Answer:D

Step-by-step explanation:

5. Find the measure of x and and the angle measure.
(3x - 15)
(2x + 7)

Answers

Answer:

here's the answer to your question

what is a fraction between 1/31 and 1/22?​

Answers

~Fraction

__________

Step-by-step explanation:

Q = { 1/31 < x < 1/22 }

Q = { 1/30, 1/29, 1/28, 1/27, 1/26, 1/25, 1/24, 1/23 }

#mathisfun

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