4x + 9y =36 Convert the standard form to slope intercept form (y= mx+b)

9514 1404 393

Answer:

Step-by-step explanation:

The right triangles are similar, so angle 1 is congruent to the given angle, and angles 3 and 5 are complements of that.

Angles 2 and 4 are the supplements of angles 1 and 5, respectively.

  ∠1 = 35°

  ∠2 = 180° -35° = 145°

  ∠3 = ∠5 = 90° -35° = 55°

  ∠4 = 180° -55° = 125°

Standard form:

1. y = x² - 4x - 5

2. y = x² - 2x - 8

3. y = x² + 4x - 21

4. y = x² + 12x + 20

5. y = x² + 8x + 12

6. y = x² + 4x + 3

7. y = x² - 8x + 7

8. y = x² - 6x + 8

9. y = x² + 10x - 11

Vertex form:

1. (x - 2)² - 9

2. ----

3. (x + 2)² - 25

4. ----

5. (x + 4)² - 4

6. (x + 2)² - 1

7. ----

8. (x - 3)² - 1

9. (x + 5)² - 36

Factored form

1. (x + 1) (x - 5)

2. (x + 2) (x - 4)

3. (x - 3) (x + 7)

4. (x + 10) (x + 2)

5. (x + 6) (x + 2)

6. (x + 3) (x + 1)

7. (x - 7) (x - 1)

8. (x - 2) (x - 4)

9. (x + 11) (x - 1)

Questions

1. Factored form

2. Factored form

3. Vertex form

4. Standard form

5. Standard form

6. Vertex form

NB: Finally finished ^-^ I hope all the answers to the questions are correct.

Answer:

Explanation:

First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

y = 4x - a (generic)

ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

3 = 4(-2) + a ; 3 = -8 + a ; a = 11

Thus, our “parallel line equation” through the point (-2,3) is:

y = 4x + 11

Answer:

y = 4x + 1

Step-by-step explanation:

first put the equation 4x-y=2 into the form y = mx + b where m is the slope and b is the y-intercept (for example, y = 2x - 1 would have 2 is the slope and -1 is the y-intercept)

4x - y = 2

subtract 4x from both sides

-y = -4x + 2

multiply both sides by -1

y = 4x - 2

That means the slope of this line is 4.

Parallel lines always have the same slope, so the slope of the new line is also 4. You can again put the new equation into the form y = mx + b. You already know that the slope is 4, so y = 4x + b.

Next, you need to find b. You know that (-1, -3) is a solution, so if you plug x = -1 and y = -3 into the equation, it should be true.

You can put that into the equation to solve for b:

-3 = 4 * -1 + b

-3 = -4 + b

1 = b

This means the equation is y = 4x + 1

Answer:

+1/2

Step-by-step explanation:

If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.

Answer:

60*12*10-48*12*15=7200-8640=-1440

The red locker has more storage space by 1440 cubic inches.

Step-by-step explanation:

The red locker has more storage space by 1440 cubic inches.

We have given that,

Each locker is shaped like a rectangular prism.

The area of rectangular prism = 2(lb + bh + lh)

One locker has more storage space by how many more cubic inches

=60*12*10-48*12*15

=7200-8640

=-1440

The red locker has more storage space by 1440 cubic inches.

To learn more about the rectangular prism visit:

https://brainly.com/question/24284033

The option (B) (11, -2), (8, -1), (5, 0), (2, 1), and (-1, 2) is correct because the points will lie exactly lie on the inverse of a function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

Let's assume the points (2, 0) and (0, 5) lie on the line which is shown in the graph.

The linear function from these two points:

[tex]\rm y=\dfrac{\left(0-5\right)}{\left(2\right)}\left(x-2\right)[/tex]

[tex]\rm y=\dfrac{\left5\right}{\left2\right}\left(x-2\right)[/tex]

To find the inverse of a function interchange the value of x and y:

The inverse function:

[tex]\rm x=\dfrac{\left5\right}{\left2\right}\left(y-2\right)[/tex]

After plotting the points:

(11, -2), (8, -1), (5, 0), (2, 1), (-1, 2)

The points will lie exactly lie on the inverse of a function.

Thus, the option (B) (11, -2), (8, -1), (5, 0), (2, 1), and (-1, 2) is correct because the points will lie exactly lie on the inverse of a function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

Answer:

3 Miles per hour. (MPH)

Step-by-step explanation:

This would be 1/7 x 21 = 21/7 = 3

Answer:

a. Not proportional

b. Proportional;

k = ⅞

Step-by-step explanation:

A proportional relationship is usually represented in the format, y = kx. k here represents constant of proportionality. This shows that x and y are directly proportional.

a. y = -2x + 9 is not a proportional equation.

b. y = ⅞x is a proportional equation.

Constant of proportionality: k = ⅞

Answer: 11 years

Step-by-step explanation: 3960 divided 12%= 33,000 divided 3000=11

Answer: it will take 11 years

Answer:

I posted a picture on the graph and how the two point intercept eachother

Step-by-step explanation:

Hope this Helped

Answer:

ur dad lololol

Step-by-step explanation:

hehehehehehe

C, 80 square feet.

Have a nice day!

Solution :

It is given that we use CI = 95%

Therefore, the value of z = 1.96 as the [tex]$P(-1.96 <z<1.96)=0.95$[/tex]

Also, here it is given that E = 0.05 and the value of p = 0.25

Thus from the formula of E, we can find n

[tex]$E= z \times \sqrt{\frac{pq}{n}}[/tex]

[tex]$n= \left(\frac{z}{E}\right)^2 \times p \times q$[/tex]

[tex]$n= \left(\frac{1.96}{0.05}\right)^2 \times 0.25 \times 0.75$[/tex]

  = 288.12

  = 289

Answer:

f= 3.5

Step-by-step explanation:

Look at attachment for further explanation

Hope this helps (:

The time taken will be "0.5 seconds".

According to the question,

By using Newton's equation,

→                     [tex]s = ut+\frac{1}{2}gt^2[/tex]

Substituting the values,

                    [tex]48=88t+0.5\times 32\times t^2[/tex]

[tex]16t^2+886-48=0[/tex]

                       [tex]t = 0.5 \ seconds[/tex]

Thus the above solution is right.

Find out more information about velocity here:

https://brainly.com/question/21320166

Answer:

d

Step-by-step explanation:

base² + Altitude² = Hypotenuse²

 x² + 9² = 13²

x² + 81 = 169

       x² = 169 - 81

      x² = 88

      x = [tex]\sqrt{88}[/tex]

     [tex]x = \sqrt{2*2*2*11}=2\sqrt{2*11}\\\\x=2\sqrt{22}[/tex]

Answer:

option - d

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + b^2 = 13^2

81 +b^2 = 169

b^2 = 169 - 81 = 88

b= [tex]\sqrt{88}[/tex] = [tex]\sqrt{2 x 2 x2 x 11}[/tex] ( take the one doubling out )

           [tex]\sqrt[2]{2 x 11 }[/tex] = [tex]\sqrt[2]{22}[/tex]

Answer:

Most of the important things in the world have been accomplished by people who have kept on trying when there seemed to be no hope at all

Step-by-step explanation:

you can do it!!!

Answer:

6. 72 m²

7. 1152 tiles

Step-by-step explanation:

6. Determination of the area of the dance floor.

Length (L) = 9 m

Width (W) = 8 m

Area (A) =?

Area of the floor (rectangle) = L × W

A = 9 × 8

A = 72 m²

Therefore, the area of the dance floor is 72 m²

7. Determination of the number of tiles needed for the dance floor.

We'll begin by converting the dimension of the tile to metre (m). This can be obtained as follow:

100 cm = 1 m

Therefore,

25 cm = 25 cm × 1 m / 100 cm

25 cm = 0.25 m

Thus, the dimension of the tile is 0.25 m by 0.25 m

Next, we shall determine the area of the tile. This can be obtained as follow:

Dimension of tile = 0.25 m by 0.25 m

Area of tile = 0.25 × 0.25

Area of tile = 0.0625 m²

Finally, we shall determine the number of tile needed. This can be obtained as follow:

Area of the floor (Aₔ) = 72 m²

Area of tile (Aₜ) = 0.0625 m²

Number of tile (n) =?

n = Aₔ / Aₜ

n = 72 / 0.0625

n = 1152 tiles

Therefore, the number of tiles needed for the dance floor is 1152 tiles

Answer:

She will have 7 dollars, with 96 cents remaining.

Step-by-step explanation:

326 pennies is $3.26

64 nickels is $3.20

15 dimes is $1.50

Add them all;

$3.26 + $3.20 + $1.50 = $7.96

She will have 7 dollars, with 96 cents remaining

Answer:

The cost per pound of the ham is $5.89.

Step-by-step explanation:

Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:

1 kg = 2.20462 pounds

2.20462 = 13

1 = X

((1 x 13) / 2.20462) = X

13 / 2.20462 = X

5.89 = X

Therefore, the cost per pound of the ham is $5.89.

Answer:

10 because

5 divide by 10 = 50

Step-by-step explanation:

give brainest or answer my question

do you have a microsoft account if you do the i can invite you in microsoft reward and maybe we can get microsoft 365

Answer:

24 - X = 10

Step-by-step explanation:

Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:

Since the bottle has 24 ounces of liquid, that is its initial content, from which an amount X is subtracted, after which 10 ounces of water remain. That is, 24 - X = 10.

Thus, this equation is solved in the following way:

24 - X = 10

24 = 10 + X

24 - 10 = X

14 = X

Answer:

-8(3x-8)

Step-by-step explanation:

factor -8 out of -24x+64

Answer:

-8(3x-8)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It is either 33 or 66 inches but I think it is B

Answer:

3(y + 5)

Step-by-step explanation:

Factorization is a process which is like the opposite of expansion. It involves factoring out the common factors from the given terms.

Thus to factorize 3y + 15, we have to consider the common factor(s) of the two terms. The common factor is 3 because the two terms (i.e 3y and 15) are both divisible by 3 only.

So that:

3y + 15= 3([tex]\frac{3y}{3}[/tex] + [tex]\frac{15}{3}[/tex])

           = 3(y + 5)

The outcome of the process is 3(y + 5).

Answer:

96

Step-by-step explanation:

3M=T

T-24=M+24

substitute for T in second equation

3M-24=M+24

solve for M

M=48/2; M=24

and T=72

together is 96

Answer:

last two both should be = 180

Step-by-step explanation:

Answer:

15.87%

Step-by-step explanation:

We are given;

x¯ = 33

μ = 43

σ = 10

Let's first find the z-score from the formula;

z = (x¯ - μ)/σ

Thus;

z = (33 - 43)/10

z = -10/10

z = -1

From the table attached the p-value at z = -1 is p = 0.15866 ≈ 0.1587 = 15.87%

Thus, proportion of students finished worse than her is 15.87%