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3 years ago

PLEASE HELP!!! I WILL RATE BRAINLIEST TO THE FASTEST AND CORRECT ANSWER!!!

Mathematics

1 answer:

Andrej [43]3 years ago

5 0

Not easy:

- 4 < x^4 + 4x^2 ---> 0 < x^4+4x^2+4 = (x^2+2)^2, so it is always positive. Always satisfied. Curious ...

Now the other one:

x^4+4x^2<21 --> x^4+4x^2-21 < 0 --> (x^2+2)^2 - 25 < 0

(x^2+2)^2<25 ->>> x^2+2 < 5 ---> x^2 <3,

So -sqrt(3)<x<sqrt(3) is the answer! Brainliest?

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Alex is a high school sophomore who recently learned about the importance of

Aloiza [94]

I don’t understand how to do this

7 0

3 years ago

Write the number in two forms 15409

Salsk061 [2.6K]

Since 15409-1=15408 and 15408+1=15409, we can write that as one. With 15409-2, we can write the same thing with 15407+2

6 0

3 years ago

The ratio of the number of boys to the number of girls in a dance club is 5 : 6. After 6 more boys join the club, the ratio beca

UkoKoshka [18]

Step-by-step explanation:

let boys be x and girls be y

x/y=5/6

x=5y/6....(1)

if 6 boys join the club that will be x+6

Therefore:

(x+6)/y=13/12

13y=12x+72

13y-12x=72

Recall x=5y/6

Therefore:

13y-12(5y/6)=72

13y-(2*5y)=72

13y-10y=72

3y=72

y=24 people

Therefore:

x=(5*24)/6

x=20 people

Therefore people in the club before are 20+24=44

5 0

3 years ago

I need help pls I WILL GIVE BRAINLIEST Pls help

uranmaximum [27]

Answer:

1. The square root of 100

2.c=27.11

d=13.96

e=12.6

Step by step explanation: 

1. 2×50=100 the geometric mean is the square root of 100

2. The diagram is made up of three right angled triangles the big outer one and two triangles inside the big one thus we can use the pythagorean theorem to come up with expressions which will help us in solving the unknown parts as below.

c²=30²-d²

c²=e²+24²

d²=e²+6²

both the following add up to c² meaning they are equal:

c²=30²-d²

c²=e²+24²

thus

30²-d²=e²+24²

I want to remain with d² only thus;

30²-24²-e²=d²

900-576=324 (squareroot of 324=18) so

d²=18²-e² and d²=e²+6²

both the above add up to d² meaning they are equal thus;

18²-e²=e²+6²

18²-6²=e²+e²

324-36=2e²

318=2e²

159=e²

e=12.61

Thus d²=e²+6²

d²=12.61²+6²

d²=159+36

d²=195

d=13.96

c²=e²+24²

c²=12.61²+24²

c²=159+576

c²=735

c=27.11

 

I hope this helps

3 0

3 years ago

Point M is the midpoint of AB. The coordinates of point A are (-8, 3) and the coordinates of M are (-2, 1). What are the coordin

ch4aika [34]

Answer:

the coordinates of point B are (-5, 2)

Step-by-step explanation:

1. use midpoint formula to find the midpoint (equation attached below)

2. plug in the numbers

$(\frac{-8+(-2)}{2},\frac{3+1}{2})$

3. solve

$(\frac{-8-2)}{2},\frac{3+1}{2})$

$(\frac{-10}{2},\frac{4}{2})$

$(-5,2})$

4 0

3 years ago