A line passes through the points (2, 0) and (3, 3). What is its equation in slope-intercept
form?

Answer:

x = 3

Step-by-step explanation:

12x = 36

simply 12 will go to the other side and switches to the opposite sign for example + will be -

× will br ÷

so 36 ÷ 12 =3

x = 3

Here goes the answer. Please mark brainliest.

Given:

Scale factor [tex]s=\dfrac{1}{3}[/tex]

Center of dilation = (4,2)

To find:

The coordinates of the points C' and A.

Solution:

We know that, if a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]

The scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).

[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex]            ...(i)

Suppose the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using rule (i), we get

[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]

[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]

[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]

[tex]C(-2,11)\to C'(2,5)[/tex]

Hence, the coordinates of Point C' are C'(2,5).

Let us assume that point A is A(m,n).

Using rule (i), we get

[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]

From the given figure it is clear that the image of point A is (8,4).

[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{3}(m-4)+4=8[/tex]

[tex]\dfrac{1}{3}(m-4)=8-4[/tex]

[tex](m-4)=3(4)[/tex]

[tex]m=12+4[/tex]

[tex]m=16[/tex]

And,

[tex]\dfrac{1}{3}(n-2)+2=4[/tex]

[tex]\dfrac{1}{3}(n-2)=4-2[/tex]

[tex](n-2)=3(2)[/tex]

[tex]n=6+2[/tex]

[tex]n=8[/tex]

Therefore, the coordinates of point A are (16,8).

Answer:

102.4

Step-by-step explanation:

hope that helps beautiful ;-)

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I believe it is A because according to the theorem it states the other pair of opposite sides are parallel.

"Here's the game plan. Assume that ¯BC ‌ ‌ ¯AD and ¯BC ~= ¯AD. By definition, a parallelogram is a quadrilateral with both pairs of opposite sides parallel. You already know that one pair of opposite sides is parallel. You need to show that the other pair of opposite sides is parallel. In other words, you need to show that ¯AB ‌ ‌ ¯CD."

Answer:

$3,993

Step-by-step explanation:

Answe

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Of (multiplication) 0*-1=0, sum (addition) 0+(-1)=-1

Step-by-step explanation:

Step-by-step explanation:

[tex] {2.7}^{12.2} = (5x + 9) \\ 5x = 183069.7433 \\ x = 36613.95[/tex]

Answer:

I think it's would be D

Step-by-step explanation:

1/2 is 50% So you add 19 and 50 to get 69% or 69/100

Answer:

4.415525546*10 to the power of 15

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Because the common multiple of 6 and 8 is 24 which is the amount of pencils.

1/8 x 3 equals 24 (3 because 3 times 8 gives 24)

1/6 x 4 equals 24 (4 because 4 times 6 gives 24)

Answer:

1 for each friend

Step-by-step explanation:

Answer:

multiply both sides by 17

your supposed to do the opposite of the symbol given

Step-by-step explanation:

Answer:

slope=2x, y-intercept=-3

Step-by-step explanation:

When in slope intercept, the slope (m) is always the x (and whatever number is in front of it), and the y-intercept (b) is at the end of the equation.

Answer:

We conclude that the train can travel 2240 miles in 16 hours.

Step-by-step explanation:

Given that a  super train traveled 420 miles in 3 hours.

Step 1 of 2

Determine distance per hour

Important Tip:

Distance per hour = Distance Covered / Time taken

              = 420 / 3

              = 140 miles per hour

Step 2 of 2

Determine the distance traveled in 16 hours

We already know that a super train travels 140 miles per hour. In other words, the speed of the super train is 140 miles per hour.

Important Tip:

Distance traveled in 16 hours = Distance per hour × 16

                                                 =  140 × 16

                                                 = 2240 miles

Conclusion:

Therefore, we conclude that the train can travel 2240 miles in 16 hours.

Answer:

4/25

Step-by-step explanation:

The total number of marbles is 2+3=5 total

P(1 red, then a second red) = (2/5) * (2/5) = 4/25

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

If you look more closely, you can notice that it is a 3-4-5 Pythagorean triple and it was multiplied by 3 to get 9-12-15.

Or you can do it using the Pythagorean Theorem directly:

9^2 + 12^2 = 15^2

and that is true.

Answer:

yes it is.

Step-by-step explanation:

pythagorean theorem. A^2 + B^2 = C^2

Ex 9^2 + 12^2 = 15^2

Answer:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

I hope it's helpful!

Answer: The slope is 2/3.

Step-by-step explanation: From (-1,6) to (-7,-3), the x goes up 6, and the y goes down 9. This makes the fraction -6/9. This would reduce to -2/3, but the direction the slop is headed is upwards to the right, meaning it's a positive slope.

Answer:

x = 1

y = 2

Step-by-step explanation:

the intersecting point is (1,2)

Answer:

10

Step-by-step explanation:

i just kno it if it's not 10 it -11 okkkkkk

Answer:

no clue

Step-by-step explanation:

lol

Answer:

b) 2017

c) Quarter 2

Step-by-step explanation:

Answer:

c > 38.5

Step-by-step explanation:

14c > 600 - 61

14c > 539

c > 38.5

Step-by-step explanation:

(A²)⁴ = A⁸

(D³)² = D⁶

(5⁴)² = 5⁸