Which inequality is shown in the graph?

Which statement about the equation is true

8090 [49]

They equal the same so I’m pretty sure it has no solution x

6 0

3 years ago

Read 2 more answers

Describe the sequence of transformations for which Triangle B is the image of Triangle A.

Helga [31]

Answer:

reflection in x = 1
translation up 2

Step-by-step explanation:

The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.

The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.

The reflection on x=1 and translation up 2 can be done in either order.

_____

<em>Additional comment</em>

A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.

7 0

3 years ago

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Solve for x. Show your work. For each picture, please

finlep [7]

If two secants intersect from a point outside of the circle, then the product of the lengths of the secant and its external segment equals the product of the other secant and its external segment.

#1
5(x+5) = 6(4+6)
5x + 25 = 6 * 10
5x = 60 - 25
5x = 35
x = 7

#2
4(x+4) = 3(5+3)
4x + 16 = 3 * 8
4x = 24 - 16
4x = 8
x = 8/4
x = 2

8 0

3 years ago

(1 point) Suppose we will flip a fair coin 100 times. (a) What does 35 heads correspond to on the standard scale? (enter exact a

vlada-n [284]

Answer:

(a) 35 heads correspond to -3 on the standard scale.

(b) z = 2.4 corresponds to 62 heads on the number of heads scale.

Step-by-step explanation:

(a) If we flip a fair coin once, probability of getting head = 0.5

If we flip a fair coin 100 times, mean number of heads = 100(0.5) = 50

If there are N draws with a P probability of success, the standard deviation (SD) is given as:

$SD = \sqrt{(N)(P)(1 - P)}$

Here, the probability of getting a head (P) is 0.5 while the number of draws (N) is 100. So,

$SD = \sqrt{(100)(0.5)(1-0.5)}$

SD = 5

The standard scale value is: (35 - 50) / 5 = -3

Hence, 35 heads correspond to -3 on the standard scale.

(b) The standard scale value is 2.4 and we need to find the number of heads.

(X - 50) / 5 = 2.4

X - 50 = 12

X = 62

Hence, z = 2.4 on the standard scale corresponds to 62 on the number of heads scale.

4 0

3 years ago

What are the demensions of a rectangle if the perimiter is 20 and the area is 24

Advocard [28]

Answer:

I simply listed the factors of 24, and tested which ones worked in this equation: P = 2a + 2b.

So the factors listed were:

24 x 1

12 x 2

8 x 3

6 x 4

After testing each one of these, 6 and 4 had worked for me.

P = 2(6) + 2(4)

P = 12 + 8

P = 20

Therefore, the dimensions of this rectangle are 6 and 4.

Step-by-step explanation:

3 0

2 years ago