Can anyone help me with my homework

The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,

⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]

Given that,

Graph of the equation of the line shown in the image.

Use the formula,

The equation of a line in point-slope form passing through the points

[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Let us take two points on the graph, which are (4, 1) and (0, 2).

Here, [tex](x_1 , y_1) = (4, 1)[/tex]

And,  [tex](x_2 , y_2)= (0, 2)[/tex]

So, the slope of the line is,

[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]

[tex]m = \frac{1}{- 4}[/tex]

[tex]m = \frac{-1}{4}[/tex]

Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]

To learn more about the equation of line visit:

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Answer:

A. 76

B. We will get two real solutions for the equation.

Step-by-step explanation:

A

For any quadratic equation ax²+bx+c=0, the discriminant is b²-4ac.

In 3x²-2x-6=0, a=3, b=-2 and c=-6:

b²-4ac

(-2)²-4(3)(-6)=4+72=76

B.

When the discriminate is positive we get two real solutions to the equation, when it's zero we get one real solution, and when it's negative we get two complex solutions. Since our discriminate, 76, is positive, we know that we will get two real solutions to 3x²-6=2x.

Answer:

Actual height of church = 512 feet

Step-by-step explanation:

Given:

Scale model;

1 inch = 256 feet

Height of church (Scale model) = 2 inches

Find:

Actual height of church

Computation:

Actual height of church = Height of church (Scale model) x scale length

Actual height of church = 2 inches x 256 feet/inches

Actual height of church = 2 x 256 feet

Actual height of church = 512 feet

Answer:

1 1/3 x 1/3 =234/6

Step-by-step explanation:

your mama

Answer:

Step-by-step explanation:

Answer:

Solution given:

<5+69°=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

Answer:

C. (100)(1/6)

Step-by-step explanation:

This is based on the "number cube" being a regular 6-sided die. You have a 1 out of 6 chance of rolling a 4 each time you roll the die. So that chance times 100 rolls is your answer.

Step-by-step explanation:

There are a total of 4 numbers to pick.

P(9) means is the probability of you picking the number 9.

Since you are only picking one number, the probability will be 1/4 or 0.25

Answer:

Volume = 2880m²

Surface area = 1632m²

Step-by-step explanation:

The prism shown is a triangular prism

The volume of the prism can be found by multiplying the area of the base by the length of the prism

The base being a triangle.

The area of a triangle can be calculated by using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The base length of the particular triangle is 12 m and the height is 16

That being said we plug in the values into the formula

[tex]A=\frac{12*16}{2} \\12*16=192\\\frac{192}{2} =96[/tex]

Hence the area of the base is 96 square meters

Finally we multiply the area of the base by the length of the prism ( which is 30 m )

So volume = 96 * 30

96 * 30 = 2880

Hence the volume of the triangular prism is 2880m²

Now to find the surface area

Kindly check the image below for information on the formula for surface area of a triangular prism

Formula = [tex]SA=bh+L(s_1+s_2+s_3)[/tex]

where b = base length

h = height of base

L = length of prism

S1 also = base

S2 = base height

S3 = slant height of base

The shown triangle has the following dimensions

b = 12

h = 16

L = 30

S1 = 12

S2 = 16

S3 = 20

Now that we have identified each dimension, we plug in the values into the formula

[tex]SA=16*12 + 30(12+16+20)\\16*12=192\\30*12=360\\30*16=480\\30*20=600\\600+192+480+360=1632\\SA=1632m^2[/tex]

So we can conclude that the surface area of the triangular prism is 1632m²

Answer:

you did not post a question?

Step-by-step explanation:

Answer: 9^(x-3) = 9^3

Step-by-step explanation:

Realizing that 729 = 9^3, we can rewrite the equation ...

9^(x -3) = 729

as ...

9^(x -3) = 9^3 . . . . . . matches the second selection

__

Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.

(3^2)^(x -3) = (3^2)^3

3^(2x-6) = 3^6

or, taking the square root, ...

3^(x -3) = 3^3

None of these forms match any answer choices.

_____

The solution will be found by matching exponents:

x -3 = 3

x = 6

Answer:

45 I believe.* u no ketchup

Answer:

Third one

Step-by-step explanation:

;b

Answer:

50% or 1/2

Step-by-step explanation:

There is an even amount of even and odd numbers on a number cube, therefor it is split half and half, giving you 50%.

50% or 1/2

(i may be wrong but i had this for a hw problem)

Answer:

x^2 + 2x = 1 = - 1

Step-by-step explanation:

x^2 + 2x + 3 = 1

x^2 + 2x + 3 - 2 = 1 - 2

x^2 + 2x + 1 = - 1

Answer:

d

Step-by-step explanation:

Answer:

60292138333920306000

Step-by-step explanation:

Answer: it look like you have to do 20*10=200 and 8*4=32 the 4 where I got it from is 10-6=4 so 200+32=232 this is what I think, sorry if it wrong.

Step-by-step explanation: Hope this help :D

Answer:

the third one

Step-by-step explanation:

Answer:

X=3

Step-by-step explanation:

Since all the sides of a square are equal, hence;

5x-2 = x+10

Collect like terms

5x-x = 10+2

4x =12

X = 12/4

X =3

Hence the value of x is 3

Answer:    -3

-2x-6=0

-2x=6

x=-3

Step-by-step explanation:

Answer:

$5150

Step-by-step explanation:

1700+0.15(23000)

$5150

Answer:

When a quadratic equation's x^2 coefficient is positive, its graph is "U-Shaped" and has a minimum.

Of the equation's listed, the only equation that has a "U-Shaped" graph and would have a minimum is C or 3x^2 +2x -7.

Source: http://www.1728.org/quadr3.htm

Step-by-step explanation: