Write an equation that represents the line use exact numbers

Write An Equation That Represents The Line Use Exact Numbers

Answers

Answer 1

Answer:

hello

f (2 ) = 6 et  f ( 0 ) = 3

( 3 - 6 ) / ( 0 - 2 ) = - 3/- 2 = 3/2

ax =  3 x /2

f (0) = 3  ⇔ b =  3

f (x) =  3 x /2 + 3

also  f ( 0) = 0 + 3 = 3  

sorry

Answer 2

y = ax + b

b = 3

since the line cuts the y-axis in 3

then for a ? which is the slope..

we take 2 points on the line (0 ; 3) and (2 ; 6)

we move 2 units to the left to go up 3 units

so a = 3/2

=> y = 3/2x + 3

or

f(x) = 3/2x + 3


Related Questions

The length of the base of a parallelogram is 18 centimeters. the parallelogram has an area of 450 square centimeters.
what is the height of the parallelogram?
enter your answer in the box

Answers

Answer:

h = 25 cm

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

given A = 450 and b = 18 , then

18h = 450 ( divide both sides by 18 )

h = 25

Answer:

h = 25cm

Step-by-step explanation:

Find the 72nd term of the arithmetic sequence -27, -11, 5, ...

Answers

Step-by-step explanation:

first identify the common difference

The first term which i will define by u⁰=-27

u¹=u⁰+(1)d where d is the common difference and u¹ is the second term

u¹=-27+d

-11=-27+d

d=27-11=16

The 72nd term would be u⁷¹ since we started from u⁰ as our first term:

Use the explicit relation given by:

u(n)=u⁰+(n)d

u(71)=-27+71(d)

u⁷¹=-27+71(16)

u⁷¹=-27+1136

u⁷¹=1109

What is the solution to the linear equation? –12 3b – 1 = –5 – b b = –2 b = –1.5 b = 1.5 b = 2

Answers

The solution of the linear system is given by using an arithmetic operation. Then the value of b is 2.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The linear equation is given below.

–12 + 3b – 1 = –5 – b

The value of b will be given as

Add b both sides, we have

–12 + b + 3b – 1 = –5 – b + b

           –13 + 4b = –5

Add 13 on both sides, we have

13 – 13 + 4b = – 5 + 13

              4b = 8

Divide both sides by 4, we have

b = 2

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

The fourth option, 2

What is the distance from L1 to D? That is, what is the measure of the line segment L1D? Hint: review the diagram in "The Race Course" section of the Performance Task

there are no images.

Answers

A line segment in geometry is the part of a line which is bounded by two distinct end points.

What is line segment?

Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.

A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.

Learn more about line segments on:

https://brainly.com/question/2437195

Find the gradients of lines A and B.​

Answers

Answer:

A=4

B=-2

Step-by-step explanation:

the gradient to B is a negative coz the line is sloping downwards

Answer:

m (A) = 4

m (B) = - 2

Step-by-step explanation:

choose any 2 coordinates on line A to use it in the formulae

no need to do so for line B because the y-int and x-int both are clear.

What is X equal to in this?

Answers

x / 33 = 40 / 24

x = 40 / 24 * 33 = 55

The length of the hypotenuse in a 45°-45-90 triangle is 7sqrt10 units. One of the legs is 7sqrt5 units. What is the length of the other
leg?
O 7sqrt5units
O 14sqrt5units
O 35 units
0 70 units

Answers

Answer:

7[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the legs of a 45°- 45°- 90° triangle are congruent , then

one leg = 7[tex]\sqrt{5}[/tex]

the other leg = 7[tex]\sqrt{5}[/tex]

What are the center and the radius of a circle with the equation (x + 5)² + (y - 4)² = 81

Answers

Step-by-step explanation:

We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.

Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.


Which answers describe the shape below? Check all that apply.


Answers

Answer: C, D, and F

-> C. Quadrilateral

-> D. Parallelogram

-> F. Rectangle

Step-by-step explanation:

-> A. Square

     [✗] A square needs 4 congruent sides, this only has "two sets of two"

-> B. Trapezoid

     [✗] A trapezoid has one pair of parallel sides, but this shape has two

-> C. Quadrilateral

     [✓] This shape has four sides

-> D. Parallelogram

     [✓] This shape's opposite sides are congruent and parallel

-> E. Rhombus

     [✗] This shape's opposite angles/sides are equal, but not all of it's sides are congruent

-> F. Rectangle

     [✓] This shape has four sides, and it's opposite sides are congruent

The variables y and x have a proportional relationship, and y = 5 when x = 4.

What is the value of x when y = 8?

Answers

Answer:

[tex]\boxed{a = 6.4}[/tex]

Step-by-step explanation:

Given:

[tex]x:y = (4):(5)[/tex]

Let the value of "x" be known as "a".

[tex]x:y = a:8[/tex]

Setting up the proportion:

[tex]\rightarrow 4:5 = a :8[/tex]

Multiplying the middles and the extremes:

[tex]\rightarrow 5a = 4 \times 8[/tex]

Simplifying the RHS:

[tex]\rightarrow a = \dfrac{4 \times 8}{5}[/tex]

[tex]\rightarrow \boxed{a = 6.4}[/tex]

Thus, the value of x is 6.4 when y is 8.

Answer:

[tex]\sf x=\dfrac{32}{5}[/tex]

(or x = 6.4 if you want it in decimal form)

Step-by-step explanation:

If y and x have a proportional relationship, then:

y = kx   (for some constant k)

Given:

x = 4y = 5

Substitute the given values into the equation to find k:

⇒ 5 = k(4)

⇒ k = 5/4

Therefore, [tex]\sf y=\dfrac54x[/tex]

When y = 8, substitute y = 8 into the equation and solve for x:

[tex]\sf \implies \dfrac54x=8[/tex]

[tex]\sf \implies x=8 \cdot \dfrac45[/tex]

[tex]\sf \implies x=\dfrac{32}{5}[/tex]

round 4184 to the nearest hundereth

Answers

The nearest hundred is: 4200

Answer:

4200

Step-by-step explanation:

I got that answer because your problem asked for the hundredth. Pretend the first 4 isn't there for a moment and round 184 to the nearest hundredth. Then place the 4 in front of what you got.

The radius of a circle is 2 feet. What is the
circle's circumference?
r=2 ft


Answers

Given -

the radius of a circle is 2 feet. ie. r = 2ft

ps - use 3.14 for π

To find -

the circle's circumference

Solution -

We know to find the circumference of a circle we use the formula C=2πr.

Doing the same,

C = 2 × 3.14 × 2

C = 12.56 feet

[tex]\sf\large\underline{Given:-}[/tex]

[tex]\rightarrow[/tex] Radius(r) of the circle = 2 ft.

[tex]\rightarrow[/tex] Value of Pie(π) = 3.14

[tex]\sf\large\underline{To\: Find:-}[/tex]

[tex]\rightarrow[/tex] Circumference of the circle.

[tex]\sf\large\underline{Formula \: Used:-}[/tex]

[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex]

[tex]\sf\large\underline{Solution:-}[/tex]

[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex](putting the value of π and r from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=2×3.14×2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=12.56\: ft.}[/tex]

Therefore, circumference of the given circle = [tex]\sf{12.56\: ft.}[/tex]

_____________________________

Hope it helps you:)

What is the velocity of the plane that travels 3000km in 5 hours?

Answers

Answer:

600km/h

546.807 fps

0.1666667 km/s

Step-by-step explanation:

Use which ever unit youd want to in this scenereo, I'd use 600km/h

3000 / 5 = 600

hello evryone. please help if you know the answer. donr help if u dont know the answer. ill give brailest to the first person that answers

Answers

a WHOLE is always simplified to "1", namely 100/100 = 1, 57/57 = 1 and so on.  Well, in this case we have a total of 21 students, so 21/21 is all of them, their "whole", but we also know that 6 of them read about animals and the rest about plants, so

[tex]\stackrel{whole}{\cfrac{21}{21}}\qquad \qquad \cfrac{\stackrel{animals}{6}~~ + ~~\stackrel{plants}{15}}{21}\implies \cfrac{6}{21}~~ + ~~\stackrel{plants}{\cfrac{15}{21}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{15}{21}\implies \cfrac{3\cdot 5}{3\cdot 7}\implies \cfrac{3}{3}\cdot \cfrac{5}{7}\implies 1\cdot \cfrac{5}{7}\implies \boxed{\cfrac{5}{7}}[/tex]

Answer:

I think its 5 over 7

Step-by-step explanation:

because 6-21 equals 15 so 15 is how many read about plants out of the total students at the library which is 21.if you divide 15 over 21 by 3 you get 5 over 7


Pls help i am extremly stressed with this question

Answers

Answer:-7/8>-0.60

C is not true

Aria paid $75,000 for her house. its property value increased by 2.2% per year. when aria sold her house after eleven years, how much was it worth, to the nearest hundred dollars? a. $133,700 b. $95,400 c. $95,300 d. $93,100

Answers

The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.

What is percentage increase?

Percentage increase is the amount added to the initial value of a product in the percentage part.

The percentage increase over a year can be found out using the compound interest formula,

[tex]A=P(1+\dfrac{r}{100})^n[/tex]

Here, (A) is the final amount (P) is the principal amount, (r) is the rate and n is the time period.

Aria paid $75,000 for her house. its property value increased by 2.2% per year.  The time period is 11 years. Put these values in the above formula as,

[tex]A=75000(1+\dfrac{2.2}{100})^{11}\\A=95284.3[/tex]

To the nearest, a hundred dollars,

[tex]A=95300[/tex]

The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.

Learn more about the percentage increase here;

https://brainly.com/question/22444616

Answer: incase you're still confused, the answer is $95,300. Hope this helps <3

Let m and n be two positive integers greater than 1 . If

[tex] \displaystyle\sf \lim_{a\to 0 }\bigg\lgroup \dfrac{e^{\cos(a^n)}-e}{a^m}\bigg\rgroup =-\bigg\lgroup \dfrac{e}{2}\bigg\rgroup [/tex]

Then the value of [tex]\dfrac{m}{n}[/tex] is ? ​

Answers

SOLUTION :-PLEASE CHECK THE ATTACHED FILE

14. in the figure at the right, ∠2 and ∠5 are_____ A. complementary angles B. linear pair C. supplementary angles D. vertical angles

Answer this please

Answers

Answer: Choice D) Vertical Angles

Reason:

When two lines cross to form an X shape, the opposite pairs of angles are known as vertical angles. They are always congruent to one another.

They do not have to be vertically aligned (meaning the angles could be sitting side by side). Example: In problem 15, angle 1 and angle 3 are vertical angles that are congruent.

Solve the following equations and check your solution using substitution.

5−x=−2

(BTW can you show the working out for the question)

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

We can add the same quantity to both sides of the equations, and still have an equivalent equation. Let's add [tex]x+2[/tex] to both sides, then sum like terms

[tex]5-x +x+2 = -2 +x+2\\5+2 = x\\7=x[/tex]

(this is the rule that allows us to move items from one side do the other of the equal sign by changing its sign)

At this point we have a solution, let's replace it to verify

[tex]5-(7) = -2\\-2=-2[/tex]

What is the solution to the equation?
Choose the student who solved the equation correctly.

12a = 6

Maria's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = 2.
Jessi's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = one-half.
Marcus's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 1.
Trevor's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 2.

9.1k = 63.7



The solution is
.

Answers

Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2


YOUR ANNSWER IS B OR JESSI’S WORK.

Answer:

Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2

Step-by-step explanation:

so it's B or jessi work

Please help correct answer wins crowns

Answers

Answer:

Given equation: x + 2y = 7

Rearrange the given equation to make y the subject:

      [tex]\sf x + 2y = 7[/tex]

[tex]\sf \implies 2y=7-x[/tex]

[tex]\sf \implies y = \dfrac12(7-x)[/tex]

Now input the given x-values into the equation to determine the y-values:

[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]

[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]

[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]

[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]

[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]

[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]

As ordered pairs: (-2, 4.5)  (-1, 4)  (0, 3.5)  (1, 3)  (2, 2.5)  (3, 2)

Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.

What is the median: _____

enter the whole number and only 1 decimal value in this answer

Answers

Answer:

55.5

Step-by-step explanation:

First, we arrange the numbers from smallest to largest and find the one in the middle. Because there are two in the middle we will add them and multiply them by two, giving us our answer. 46+65=111  111 divided by 2=55.5.

Solve for e:2e-13+8=135

Answers

Answer:

e = 70

Step-by-step explanation:

2e - 13 + 8 = 135

2e - 5 = 135

2e = 135 + 5

2e = 140

divide both sides by 2

e = 70

Find the area of the figure.

Answers

Answer:

55 sq meters

Step-by-step explanation:

Area of big triangle 7x5=35/2

but there's two big triangle so 35/2 x 2 =35

area of small triangle 5x4=20/2 10

10 x 2 =20. And then combine 20+35=55

So the area is 55 sq meters.

can someone help me with this please ​

Answers

Answer:

40 ft^2

Step-by-step explanation:

Composite shapes make a square and rectangle

4 x 4 = 16

6 x 4 = 24

24 + 16 = 40

Answer:

24 unless my mind died

Step-by-step explanation:

8+16 :D

Is (-4, -1) a solution to this system of equations?

y = 5/2x + 9
y = 1/2x + 1

Yes or no

Answers

Answer:

yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)

Step-by-step explanation:

Question: The lengths of the diagonals of a rhombus are 5 inches and 8 inches. What are the interior angle measures of the rhombus?

How you must answer:

- Sketch - draw the sketch:
- Known:
-Unknown:
-Rationale:
-Exquation and expression:


Steps:
- Include a sketch
-State the Known
-State the Unkown and represent with a variable
-Provide a rationale
-Include the equation, exact answer, and decimal approximation

Answers

Answer:

The interior angles are approximately 64.02 degrees and approximately 115.98 degrees

The drawing is below.

==========================================================

Explanation:

A rhombus always has perpendicular diagonals. The two diagonals form four identical (aka congruent) right triangles as the figure shows below.

Notice how I've marked x and y as the unknown acute angle measures. Also, the two diagonals divide each other in half. The 8 splits into 4+4 and the 5 splits into 2.5+2.5

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

Focus on one of the right triangles (they're all identical so it doesn't matter which you go for). We can use the tangent ratio to help determine  the value of x.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{x}) = \frac{2.5}{4}\\\\\tan(\text{x}) = 0.625\\\\\text{x} = \tan^{-1}(0.625)\\\\\text{x} \approx 32.005383^{\circ}\\\\\text{x} \approx 32.01^{\circ}\\\\[/tex]

Angle x is roughly 32.01 degrees.

Make sure your calculator is in degree mode.

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

Similar steps can be done to find the value of y.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{y}) = \frac{4}{2.5}\\\\\tan(\text{y}) = 1.6\\\\\text{y} = \tan^{-1}(1.6)\\\\\text{y} \approx 57.994617^{\circ}\\\\\text{y} \approx 57.99^{\circ}\\\\[/tex]

Or you could use the value of x to compute y like this

x+y = 90

y = 90 - x

y = 90 - 32.005383

y = 57.994617

y = 57.99

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

Once we figure out x and y, it's simply a matter of doubling those values to get the interior angles of the rhombus. This is because we have the x angles next to each other to form two of the interior angles. So we have x+x = 2x = 2*32.01 = 64.02 degrees as one interior angle of the rhombus. The value is approximate.

The other interior angle is roughly y+y = 2y = 2*57.99 = 115.98 degrees

Notice how 2x+2y = 64.02+115.98 = 180

For any rhombus, the adjacent angles are supplementary (they add to 180 degrees).

Claudius took out an unsubsidized stafford loan at the beginning of his six-year college career. the loan had a principal of $4,850, an interest rate of 6.5% compounded monthly, and a duration of ten years. if claudius started paying off the loan when he graduated, what is his monthly payment? round all dollar values to the nearest cent. a. $71.37 b. $81.25 c. $55.07 d. $76.55

Answers

Answer:

b.

$81.25

Step-by-step explanation:

taking it rn

Answer:

b 81.25

seen it on quizlet

Step-by-step explanation:

Amy earns £10.00 per hour. She gets a raise, and her new hourly rate is £11.50 What is the percentage change in her hourly rate? ​

Answers

Percentage Change = (new rate - old rate) / (old rate)

New Rate = 11.5

Old Rate = 10

(11.5 - 10) / 10

1.5 / 10 = 15 / 100 = 0.15 = 15%

The percentage change in her hourly rate is 15%.

Hope this helps!

the percentage change =

( new-old / old ) x 100


(11.50-10)/10 = 0.15

0.15 x 100 = 15%

Omega House Family restaurant is midway between Forsyth Tech Community College
and the Dash baseball stadium. The coordinates of Forsyth Tech are (7, −5) and the
coordinates of the Dash baseball stadium are (−4, 3). What are the coordinates of the
Omega House?

Answers

The coordinates of Omega house is (3/2, 1)

Data;

Forsyth Tech = (7,-5)Stadium = (-4, 3)

Midpoint of a Line

To find the coordinates of Omega house, we can use the formula of midpoint of a line since Omega house falls between Forsyth Tech and Stadium

[tex]x,y = (\frac{x_1+ x_2}{2} , \frac{y_1+y_2}{2})[/tex]

We can substitute the values and solve for both x and y coordinates.

[tex]x = \frac{x_1+x_2}{2} \\x = \frac{7 + (-4)}{2} = \frac{3}{2}[/tex]

The value of the y-coordinate is

[tex]y = \frac{-5+ 3}{2} = 1[/tex]

The coordinates of Omega house is (3/2, 1)

Learn more on midpoint of a line here;

https://brainly.com/question/5901621

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