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ipn [44]
3 years ago
8

Solve the inequality − x 2 <4 -x2<4

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0
1 and 2 I hope this help you :)
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Find an equation of the sphere with center (2, −10, 3) and radius 5. $$25=(x−2)2+(y−(−10))2+(z−3)2 use an equation to describe i
lana66690 [7]

In the x,y plane, we have z=0 everywhere. So in the equation of the sphere, we have

25=(x-2)^2+(y+10)^2+(-3)^2\implies(x-2)^2+(y+10)^2=16=4^2

which is a circle centered at (2, -10, 0) of radius 4.

In the x,z plane, we have y=0, which gives

25=(x-2)^2+10^2+(z-3)^2\implies(x-2)^2+(z-3)^2=-75

But any squared real quantity is positive, so there is no intersection between the sphere and this plane.

In the y,z plane, x=0, so

25=(-2)^2+(y+10)^2+(z-3)^2\implies(y+10)^2+(z-3)^2=21=(\sqrt{21})^2

which is a circle centered at (0, -10, 3) of radius \sqrt{21}.

3 0
3 years ago
On a number line the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the directed line s
liq [111]

Answer:

Step-by-step explanation:

The distance from Q to S is 2 - (-14), or 16.

We start at point Q.  Note how 3 and 5 add  up to 8, which allows us to write:

R = Q + (3/8)(16), or R = -14 + 6, or R = -8.

From R to S it is (5/8)(16), or 10 units.

The directed line segment is partitioned into segments of lengths 6 and 10, whose combined length is 16, as expected.

8 0
3 years ago
Read 2 more answers
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 152,149,146
Serhud [2]

Answer:

the 30th term is 239

Step-by-step explanation:

The computation of the 30th term is as follows:

As we know that

a_n = a_1 + (n-1)d

where

a_1 is the first number is the sequence

n = the term

And, d = common difference

Now based on this, the 30th term is

= 152 + (30 - 1) × 3

= 152 + 29 × 3

= 152 + 87

= 239

Hence, the 30th term is 239

7 0
3 years ago
You want to divide a square piece of paper into two equivalent triangle if the square measures 20m in each side what will the th
Zolol [24]
20 √2

It would be a 45 45 90 triangle. So both sides are X (20) and the missing side is X √2 (20 √2).
3 0
3 years ago
What is -5/9 - 2/9 ??
Elanso [62]

Answer:

-7/9 or -.77777777....

Step-by-step explanation:

Just use keep change change

keep -5/9 the same

change the - to a +

change the 2/9 to a -2/9

5+2 = 7

put over 9

make negative

4 0
3 years ago
Read 2 more answers
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