3 years ago

Which statement is a correct interpretation of the vertical line test?

Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

Answer:

A and D

because those are the correct ones :)

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What is the center of the circle that you can circumscribe about a triangle with vertices A(2, 6), B(2, 0), and C(10, 0)?

denis23 [38]

The three points A,B,C are all points on this circle.
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle (x,y):
$d^2 = (x-x_0)^2 + (y-y_0)^2$
Plugging in points A and B into distance formula, then setting them equal to each other gives:
$(x-2)^2+(y-6)^2 = (x-2)^2 + y^2$
Right away we can cancel out the x terms leaving:
$(y-6)^2 = y^2$
Expand Left side and Solve for y:
$y^2 -12y +36 = y^2$
$y = 3$
Plug in points B and C as before:
$(x-2)^2 + y^2 = (x-10)^2 + y^2$
Here we can cancel the y-terms.
Expand and solve for x:
$x^2 -4x+4 = x^2 -20x+100$
$16x = 96$
$x = 6$
Therefore the center of the circle is the point (6,3)

6 0

3 years ago

Natalie opened a bank account that earns 2.5% simple interest. If her account earned $180 over ten years, how much was Natalie's

Inga [223]

Answer:

i believe your answer is $7,200

Step-by-step explanation:

take 180 and divide it by .025, you should get $7,200.

6 0

2 years ago

For exercices 45-50, between which two benchmarks ( Of 0, 1/2,1 1/2) does each fraction fall? Tell which is the nearer benchmark

OleMash [197]

45. 3/5 is nearer to 1/2
46. 1 2/6 is nearer to 1 1/2. 1 2/6 can be simplified to 1 1/3
47. 12/10 is nearer to 1 1/2. 12/10 can be simplified to 1 2/10 and further simplified to 1 1/5.
48. 2/18 is nearer to 0. 2/18 can be simplified to 1/9 or 0.11
49. 1 8/10 is nearer to 1 1/2. 1 8/10 can be simplified to 1 4/5
50. 1 12/15 is nearer to 1 1/2. 1 12/15 can be simplified to 1 4/5.

4 0

2 years ago

Read 2 more answers

Which graph shows the solution set for Negative 1.1 x + 6.4 greater-than negative 1.3? A number line going from negative 10 to 0

Rufina [12.5K]

Answer:

A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.

Step-by-step explanation:

We have the following inequality:

-1.1x + 6.4 > -1.3

to solve it, we need to isolate x, as follows:

-1.1x > -1.3 - 6.4

-1.1x > -7.7

x < -7.7/-1.1 (notice that while dividing with a negative number, the sign changes)

x < 7

4 0

3 years ago

Read 2 more answers

In a public opinion poll, 624 people from a sample of 1,200 indicated they would vote for a specific candidate. How many votes c

blondinia [14]

Answer:20800.

624/1200=.52 40000x.52 =20800

4 0

2 years ago