Question 2
Find the equation of the line parallel to y = x - 2 that passes through the point (-3,2).

Answers

Answer 1

Answer:

The equation of the required line is y = x + 5

Step-by-step explanation:

The equation of the given line is y = x - 2

The required line = A line parallel to the given line

The point through which the required line passes = (-3, 2)

The general form of the equation of a straight line, is y = m·x + c

Where;

m = The slope of the line

By comparison, the slope of the given line, m = 1

When two lines are parallel, their slope are equal

Therefore, the slope of the required line = m = 1

The equation of the required line in point and slope form is therefore;

y - 2 = x - (-3) = x + 3

∴y = x + 3 + 2 = x + 5

The equation of the required line is therefore;

y = x + 5.


Related Questions

write an equivalent logarithmic equation for e^x=24

Answers

Answer:

x=ln 24

Step-by-step explanation:

e^x=24

If we take the ln of both sides

ln e ^x= ln 24

x=ln 24

PLEASE PLEASE PLEASE HELP ME WITH THIS QUESTION I KEEP GETTING SPAM ANSWERS, THANK YOU!

EXPLAINING YOUR ANSWER = BRAINLIEST

The area is 96 square units.

The length, x, of the base is ___ units.

Answers

The length is 0.5 and your welcome the explanation is long but this is the answer

Given :

Δ  Area of the Triangle is 96 square units

Δ  Height of the Triangle is 9.6 units

We know that:

[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]

[tex]\implies \sf{\dfrac{1}{2} \times Base \times 9.6 = 96}[/tex]

[tex]\implies \sf{\dfrac{1}{2} \times Base = \dfrac{96}{9.6}}[/tex]

[tex]\implies \sf{\dfrac{1}{2} \times Base = \dfrac{960}{96}}[/tex]

[tex]\implies \sf{\dfrac{1}{2} \times Base = 10}[/tex]

[tex]\implies \sf{Base = 20 \ units}[/tex]

!!PLEASE HELP 25 POINTS!! The graph of an absolute Value

Answers

Answer:

(-1, 8)

the value of a is 8

factoring polynominaly

Answers

Answer:

Most of the question is missing. If you could type out the rest, we might be able to help you.

PLEASE HELP
IT SAYS IN PROGRESS BUT ITS COMPLETED WHAT DO I DO???!!!!

Answers

Answer:

click on it and double check that all questions are 100% complete if so wait because it is quite possible it is a glitch this sort of thing happens often no need to be alarmed

please can anyone help me out!!​

Answers

Answer:

1.39 m

Step-by-step explanation:

sin 63 = x/13.5 (x = CD)

sin 52 = x/13.5 (x=AC)

take the difference between the two

Sorry can someone help please…

Answers

25) -4
26) -8
27) 0
28) -7
29)6

Whats the answer to this ??

Answers

answer is 4

it is the cube root of 4

4×4×4 = 64

The answer of value is 4.

You begin solving the equation 4−5=59 4 - 5 x = 59 by subtracting 4 4 from both sides. Which is the best choice for Step 2 2 ?

Answers

Answer:

4 – 5x = 59, x = -11

Step-by-step explanation:

The given equations is :

4 – 5x = 59

Subtracting 4 both sides,

4 – 5x -4 = 59-4

-5x = 55

Dividing both sides by -5.

x = -11

So, the answer of the given equation is -11.

A population of insects can be modeled by the equation y = 12,000 + 8000 sin(θ). What is the greatest number of insects you will find?

Answers

Answer:

20000

Step-by-step explanation:

The greatest value obtained by sin(x) is 1.

So the greatest amount of insects is 12,000 + 8000(1)=20000.

The greatest number of insects are 20000.

What is trigonometric function?

"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.

The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "

We have,

y = 12000+8000 sinθ

The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]

∴ sinθ  = 1

substitute sinθ = 1 in given equation

y = 12000+8000 (1)

⇒ y = 12000+8000

⇒ y = 20000

Hence, The greatest number of insects are 20000.

Learn more about trigonometric function here

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HELP I WILL AWARD BRAINLIEST
*Prove that corresponding angle bisectors in congruent triangles are congruent.

Answers

Answer:

CPCTC

Step-by-step explanation:

BESTIE MY CAPS LOCK KEY IS LIKE STUCK SO YEAH

ANYWAY, THIS IS GOING TO SOUND REALLY AGGRESSIVE

SO CONGRUENT TRIANGLES HAVE 3 EQUAL SIDES AND 3 EQUAL ANGLES

THEY ARE EXACTLY THE SAME

SINCE WE KNOW ALL OF THIS AWESOME INFORMATION, NOW WE CAN THAT THE ANGLE BISECTORS WILL BE CONGRUENT BY CPCTC -

CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT

WE CAN USE AN EXAMPLE TO UNDERSTAND BETTER

SAY YOU HAVE 2 CONGRUENT TRIANGLES

THE ANGLES ARE 50, 60, AND 70

SAY THAT THE ANGLE BISECTORS ARE ON 60

THEY WILL BE CONGRUENT BECAUSE THEY ARE THE CORRESPONDING ANGLES OF 2 CONGRUENT TRIANGLES

BUT WHEN YOU ARE ASKED FOR A REASON, IT IS BECAUSE OF CPCTC

CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT

The solutions of x² = 16x - 28 are
1) -2 and -14
2) 2 and 14
3) -4 and -7
4) 4 and 7

Answers

2 and 14
hope this helps

In a flight of 600km,an aircraft was alowed down due to bad weather. Its average speed for the trip reduced to 200km/hr and the time increased by 30 minutes. Find the duration of the flight.

Answers

Answer:

The duration of the flight is 1 hour

Step-by-step explanation:

Since average speed = distance traveled / time

Let the duration of the flight be in z hours

So, (600km/z hours) - (600km/ z hours + (1/2)) = 200km/hr

Note: 1/2 is used as a result of 30 minutes increased in time which is half an hour.

200 = (600/z ) - (600/z + (1/2))

Multiply 2 through on (600/z + (1/2))

200 = (600/z ) - (1200 / (2z + 1))

Divide through by 200

= z(2z + 1) = 3

convert to quadratic equation

2z² + z = 3

2z² + z - 3 = 0

(2z + 3) ( z-1) = 0

z-1 = 0

z = 1 hour

Find f(2) if f(x) = 2x + 1.

Answers

5
2(2)+1
4+1=5
Answer is 5
The answer for the question is 5

in the similar triangle ABE and triangle CDE,AB=10cm,ED=4cm,CD=8cm find the length of BC​

Answers

9514 1404 393

Answer:

  BE = 5 cm

Step-by-step explanation:

Your problem statement asks for the length of BC. There is no segment BC. Points B and C are in different triangles.

The length of segment BE can be found from the proportion ...

  BE/DE = AB/CD

  BE = DE·AB/CD = (4 cm)(10/8)

  BE = 5 cm

a/2-8=-4
I have no idea how to do this!!

Answers

Answer:

a = 8

Step-by-step explanation:

a ÷ 2 - 8 + 8 = - 4 + 8

a ÷ 2 = 4

a ÷ 2 × 2 = 4 × 2

a = 8

Answer:

a = 8

Step-by-step explanation:

Given

[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )

[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )

a = 8

3100 times 43 how much is this

Answers

Answer:

133,300

Step-by-step explanation:

3100 x 43 = 133,300

Answer: 133,300

Step-by-step explanation: 3100 x 43= 133300

What is the value of h(2)?

Answers

Step-by-step explanation:

answer is 0

because x= 2 and y =3 make a circle

which best describes the transformation that occurs from the graph of f(x)=x^2 to g(x)=(x-2)^2+3?? ​

Answers

answer right 2, up 3

any function with the following form is a transformation from f(x) = x²

g(x) = (x – a)² + b

were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.

then for a=2 positive and b=3 positive, we have

right 2, up 3

Answer:

answer right 2, up 3

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x=10

Step-by-step explanation:

6(x+2)=8(x-1)

x=10

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]8(x−1)=6(x+2)[/tex]

[tex]8x−8=6(x+2)[/tex]

[tex]8x−8=6x + 12[/tex]

[tex]2x−8=12[/tex]

[tex]2x=12+8[/tex]

[tex]2x=20[/tex]

[tex]x = \frac{20}{2} [/tex]

[tex]x = 10[/tex]

Hope it is helpful....

Solve x2 − 3x = −8. (2 points)

Answers

That is the answer:)

Answer: x=3 plus or minus i square root 29 end root all over 2

URGENT PLS!!
consider the system: 5x+3y = 12 , x-7y=10

using elimination method, what is the value of 38y? ​

Answers

Answer:

5x+3y=12

x-7y=10

first you want to make the x the same to 5 since you want to make the x = 0 so you can cancel out the x to find y

5x+3y=12

5x-35y=10

_________

38y = -38

y = -1

to find the x value substitute to any equations it can be the 1st or 2nd

5x+3(-1)=12

x = 3

HELP! What is the surface area of the right cone below?
12 6

A. 339 sq. units
B. 245 sq. units
C. 185 sq. units
D. 582 sq. units

Answers

Its A i put it in a calculator and that was the closest answer

The surface area of the right cone is,

⇒ 339 units²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Radius of right cone = 6 units

Slant height of right cone = 12 units

Now, We know that;

The formula for the total surface area of a right cone is,

⇒ T. S. A = πrl + πr²

Hence, We get;

The surface area of the right cone is,

⇒ 3.14 × 6 × 12 + 3.14 × 6²

⇒ 226.08 + 113.04

⇒ 339.1

⇒ 339 units²

Thus, The surface area of the right cone is,

⇒ 339 units²

Learn more about the mathematical expression visit:

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16. m + 5(m - 1) =
How do u solve this

Answers

Answer: 6m -5

Distribute 5
m+ 5m-5
Simplify
6m -5

A truck is carrying pineapple juice, tomato juice, and cherryjuice bottles in a ratio of 3:5:4. If there are 80 tomato juice bottles, then how many juice bottles in total?

PLEASE HELP!!

Answers

Answer:

192

Step-by-step explanation:

The ratio of pineapple to tomato to cherry is 3 to 5 to 4.

That means for some number x,

we have 3x pineapple, 5x tomato, and 4x cherry.

We are asked to find the total number which is 3x+5x+4x which is equal to 12x.

We are given that there are 80 tomato and we also have 5x tomato. These two expressions are therefore equal and we need to solve 80=5x which leads to x=80/5=16.

So the total amount is 12x=12(16)=192.

Which of the following statements contain a variable? Check all that apply.
A. The amount of time you ran on the track.
B. How high you can jump.
C. The time school starts.
D. The temperature outside is 31 degrees.

Answers

Answer: A C explanation:

Find the volume of the prism.
2 m

Answers

Answer:

12 cubic meters

Step-by-step explanation:

Name a Radius
A. AP
B. AB
C. DE
D. All of the above
please help I'll really appreciate it ​

Answers

Answer:

AP is the radius since it's a straight line extending from the center. CP and BP are radiuses as well

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

Radius is the line segment that joins the centre of a circle and any point on its circumference. In the figure , AP is the radius. The plural form of radius of radii. All the radii of a circle are equal i.e AP , PB & PC are radii and they're equal.

[tex] \large{ \tt{❁ \: LET'S \: CHECK \: THE \: OPTIONS: }} [/tex]

[tex] \large{ \tt{ \overline{AP}}}[/tex] - Yes! [tex] \tt{ \overline{AP }}[/tex] is a radius since it is the line segment which joins the centre of a circle and any point on the circumference.

[tex] \large{ \tt{ \overline{ AB}}}[/tex] - No! It's a diameter since it is the line segment that passes through the centre of a circle and joins any two points on its circumference. Remember: The length of a diameter is two times radius i.e if the length of radius [ AP ] is 5 then the length of Diameter [ AB ] will be 5 × 2 = 10.

[tex] \large{ \tt{ \overline{ DE}}}[/tex] - No! It's a chord since it is the line segment which joins any two points on the circumference of a circle.

[tex] \large \boxed{ \boxed{ \tt{☄OUR \: FINAL \: ANSWER : { \tt{ \overline{AP}}}}}} \: [/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

What is the. Length of a

Answers

Answer:

One of the altitude formed from the vertex to the base and its magnitude given as 12cm

There is also a hypotenuse whose length is 15cm

By pythagorean theorem b^2 +a^2= c^2

so 12^2+a^2 = 15^2

=> 144+a^2 = 225

=> a^2 = 225-144

=> a^2 = 81

so the length of a = √81 = 9 cm (ans)

Hope it helps

Answer:

c

Step-by-step explanation:

Select the number line model that matches the expression
|8 - 1|

Answers

Answer:

B

Step-by-step explanation:

Trust

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