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3 years ago

Given a circle with a center at (-3.1) and a radius of 4, is the point (1,-2) inside,

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

distance between center and (1,-2) is

$d=\sqrt{(1-(-3))^2+(-2-1)^2} \\=\sqrt{16+9} \\=5>4\\$

distance of the point from the center>radius of circle.

So it lies outside the circle.

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Is 593÷6 is a little less than 10 a little more than 10 a little less than 100 a little more than 100 explain

DerKrebs [107]

Since 600 ÷ 6 = 100 and 593 is less than 6, 593 ÷ 6 is a little less than 100.

Hope this helps!

4 0

3 years ago

7/x+2 + 3x-4/x2+5x+6=9

larisa [96]

Answer:

is this in graph or equation? ???

4 0

3 years ago

16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the a

timofeeve [1]

Step-by-step explanation:

Let U=universal set

C=students who drink coke

P = students who drink pepsi

6 0

2 years ago

Let U={x: x is an integer and 2≤x≤10}. In each of the following cases, find A,B and determine whether A⊆B,B⊆A, both or neither:

12345 [234]

A is not a subset of B but B is a subset of A (that is can be found in A) that is B⊆A is correct

<h3>Set theory</h3>

Set is defined as the arrangement of elements. They can be represented using the venn diagram.

Given the following sets

U = {x: x is an integer and 2≤x≤10} = {3, 4, 5, 6, 7, 8, 9}
A = {x: 2x+1>7} = {x > 3}

B={x: x^2>20} = {x >± 20}

From the set, can see that A is not a subset of B but B is a subset of A (that is can be found in A) that is B⊆A is correct

Learn more on sets here: brainly.com/question/13458417

8 0

2 years ago

2) What is the inequality that this graph represents? -15 # 3 6 x

kvasek [131]

Answer: $y < -\frac{1}{2}x+3$

This is the same as writing y < (-1/2)x+3

==============================================================

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

m = (y2-y1)/(x2-x1)

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing $y = -\frac{1}{2}x+3$

We shade below the dashed line to represent the inequality $y < -\frac{1}{2}x+3$ . Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

3 0

3 years ago