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3 years ago

9

Stacy owes 13.65 for text messging in the month of September if her text messaging plan cost 12 for the first 300 messages and 5

c for each text message how many text messages did she send that month

1 answer:

lara [203]3 years ago

7 0

Answer:

need points

Step-by-step explanation:

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Circle 1 is centered at (−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimet

IgorC [24]

Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?

To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).

Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.

Translations and dilations (along with reflections and rotations) belong to a group known as transformations.

3 0

3 years ago

Write in standard form (×+4)(×-5)=4 find the value of a,b,c

Alex17521 [72]

Answer:

$x^{2}$ - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

(x + 4)(x - 5) = 4

x(x - 5) = $x^{2}$ - 5x

4(x - 5) = 4x - 20

$x^{2}$ - 5x + 4x - 20 = 4

$x^{2}$ - x - 20 = 4

$x^{2}$ - x - 20 - 4 = 0

$x^{2}$ - x - 24 = 0

a = 1

b = 1

c = -24

4 0

3 years ago

Image of parabola with a maximum value at (1, 9), y-intercept at (0, 8) and x-intercepts at (2, 0) and (4, 0).

natka813 [3]

Answer:

(a) 4 seconds

Step-by-step explanation:

The given point (4, 0) on the parabola tells you the answer to the question: the coin was in the air 4 seconds before its height is 0. It is no longer in the air at that point.

__

<em>Additional comment</em>

In order to match the rest of the problem statement, the first given x-intercept must be (-2, 0).

4 0

2 years ago

A triangle has the vertices A(-7, 8), B(1, -7), and C(7,6). After a dilation, the vertices of the image are A(-28, 32).

steposvetlana [31]

Answer: the answer is A.4

Step-by-step explanation:

Dilation in this context is the transformation is an object into a larger one.

ABC is transformed to A'B'C'

To get the scale factor, we divide the coordinates of A'B'C' by ABC

i.e

A'/A = -28/-7, 32/8 = 4

Or

B'/B = 4/1, -28/-7 = 4

Or

C'/C = 28/7, 24/6 = 4

4 0

3 years ago

6x + 13 = 37<br><br> please provide reasoning

sladkih [1.3K]

6x + 13 = 37

6x = 37 - 13

6x = 24

x = 24/6

x = 4

Answer: x = 4

7 0

3 years ago

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