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Otrada [13]
3 years ago
14

What are the values of x and y?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0
The answer is the second option
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The reciprocal of 7/2 is 2/7. What does that mean?
RoseWind [281]

Answer:2/7

Step-by-step explanation: A reciprocal is the "mirror image" of a fraction so the reciprocal is the fraction upside down.

3 0
2 years ago
On a coordinate plane, a triangle is shown. It has points (1, 4), (5, negative 2), and (negative 3, negative 2).
Sloan [31]

Answer: C

Step-by-step explanation:

To determine if a triangle is equilateral, you need to see if all the sides have the same length.

6 0
2 years ago
3. Show that a circle with equation (x−2)^2+(y+3)^2=160 has two tangent lines with equations
Pepsi [2]

Answer:

  see below

Step-by-step explanation:

A graphing calculator shows each of the lines intersect the circle in exactly one place, so is tangent.

__

Each of the given lines is written in point-slope form. Each has a slope of 1/3. We will call the point in its equation the "reference point" of each line. For the first line, it is (6, -15); for the second line it is (-2, 9).

The center of the circle is (2, -3), so the slope from the center to the reference point of each line is ...

  line 1: (-15 -(-3))/(6 -2) = -12/4 = -3

  line 2: (9 -(-3))/(-2-2) = 12/-4 = -3

These slopes are the negative reciprocal of the slope of each of the lines, so a segment from the circle center to the reference point of each line is perpendicular to the line.

__

The reference point of line 1 (6, -15) is on the circle:

  (6 -2)^2 +(-15 +3)^2 = 16 +144 = 160

The reference point of line 2 (-2, 9) is on the circle:

  (-2-2)^2 +(9 +3)^2 = 16 +144 = 160

So, the reference point of each line is on the circle and that point is the endpoint of a segment from the circle center that is perpendicular to the line. Hence each of the lines is a tangent at its reference point.

6 0
3 years ago
Add 1/8 + 3/8<br><br> A. 3/64<br> B. 4/64<br> C. 4/16<br> D. 4/8
Alborosie

Answer:

D. 4/8

Step-by-step explanation:

First you should have the same denominator. In this case you have it so you continue. And now you have to add the numerators together. So you get 4/8. You can also simplify it and divide the numerator and denominator by 4 and get 1/2

3 0
2 years ago
Sherry has read 56 pages of a book. Her teacher wants her to read to at least page 200 by Monday. How many pages must Sherry ave
gulaghasi [49]

Answer: 43

Step-by-step explanation:

because i know

6 0
3 years ago
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