What is the y-intercept of the graph of the equation 6x + 3y = 18?

Answer:

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )

Step-by-step explanation:

An equilateral triangle means all sides are congruent.

AB≅BC≅AC

All angles are also congruent.

∠ABC≅∠BCA≅∠CAB

AD being perpendicular makes it a bisector of both BC and ∠CAB.

BD≅CD

∠BAD≅∠CAD

Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.

1) ASA (one of the possible ASA combinations)

2) HL (again, one of the multiple possible HL combinations)

There are many more but I won't write them all out.

9514 1404 393

Answer:

Step-by-step explanation:

You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.

An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...

  0 = 2 -3x -2x^2

  x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2

  (x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square

  (x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square

  x +3/4 = ±5/4 . . . . . . . take the square root

  x = -3/4 ±5/4 = -8/4, +2/4

The x-intercepts are -2 and +1/2.

__

A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...

  y^2 = 2 -0 -0

  y = ±√2

The y-intercepts are -√2 and +√2.

_____

A graphing calculator can give you a good idea of what the intercepts are.

Answer: The percent of increase is 66.67%.

Step-by-step explanation:

Find the percent of increase of baseball cards.

Step 1: Subtract the starting value from the final value.

                                       65 - 39 = 26

Step 2: Take the value you get and divide it by the starting value.

                                       26 ÷ 39 = 0.666667

Step 3: Multiply what you get by 100.

                                       0.666667 × 100 = 66.6667

Step 4: Round what you get the nearest hundredth of a percent.

                                        66.6667 → 66.67%

- BRAINLIEST answerer

Answer: 2010003

Step-by-step explanation: because 10000+2000003= 2010003

Answer:

b.

This may be the complete question:

Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?

a. Wanda is task oriented and likes to be alone.

b.  Wanda has a lot of energy and is a good multitasker.

c. Wanda has remarkable typing skills and does well with computers.

d. Wanda has very good concentration skills and likes to create things with her hands.

Answer: b.

Answer:

600

Step-by-step explanation:

Take the number that answered lavender and divide by total # of students surveyed

49/75 = .653333 or 65.3%

then take the total # of students and multiply by .6533333

908x .6533333 = 593.22

so the closest estimate is 600

-- Gage Millar, Algebra 1/2 tutor

Answer:

√90=3√10

Step-by-step explanation:

Answer:

  3/2

Step-by-step explanation:

Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...

  (4, 1) and (6, 4)

The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:

  slope = "rise"/"run" = 3/2

The slope of the graphed line is 3/2.

Answer:

$102

Step-by-step explanation:

if Tommy spent 7 dollars on pie, that means he had more money than that amount before.

So before he spent 7 dollars, he had those 7 dollars.

Add 7 with 95

95 + 7 = 102

1. None, it makes a cylinder

2. C

3. B

4. A

Answer: fraction:47/200 desimal:0.235

Step-by-step explanation:

Answer:

270°

Step-by-step explanation:

∠ PQR = 90° ( angle in a semicircle )

PRST is a cyclic quadrilateral

The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°

Then

∠ PRS + ∠ PTS = 180°

∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°

Answer:

D

Step-by-step explanation:  

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)

Consider option D.

1st transformation  will map vertices of the square into points

These points are not the vertices of the initial square.

I hope it helps.

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When divding numbers with the same base you subtract the exponents ~

Answer:

subtracts

Step-by-step explanation:

hope this helps

Answer: 75%

Step-by-step explanation:

35% of 5 liters is 1.75 liters

1.75 liters + 8 liters = 9.75 liters (only juice)

(5 liters + 8 liters = 13 liters) (the whole thing)

So, 9.75/13 is 75%

Answer: table 1 is 35 and table 2 is 1.301

Step-by-step explanation:

Answer:

B ......................

Answer:

i think -4>-5

Step-by-step explanation:

because (-4)is greater than (-5)

Answer:

(-4, 3)

Step-by-step explanation:

You have to go -4 on the x-axis, and +3 on the y-axis

Answer:

34p - 16

Step-by-step explanation:

Perimeter = 8p + 2 + 8p + 2 + 9p - 10 + 9p - 10

Perimeter = 16p + 18p + 4 - 20

Perimeter = 34p - 16

-Chetan K

we have : [tex]P=2[(9p-10)+(8p+2)]= 2[9p-10+8p+2] = 2[17p-8] = 34p-16[/tex]

ok done. Thank to me :>

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The equivalent value is ~

[tex] \boxed{17}[/tex]

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The approximate area of the hexagon is 48 square inches.

Given that the regular hexagon has a radius of 4 inches, to determine what is the approximate area of the hexagon the following calculation must be performed:

Therefore, the approximate area of the hexagon is 48 square inches.

Learn more about maths in https://brainly.com/question/18500585

Step-by-step explanation:

Given:

System as per question:

Or

Step-by-step explanation:

Let the number of apples be a and lemons be l . Then ,

=> a + l = 17

Also ,

=> 35a + 15l = $ 3.95