Need help with this.

Answers

Answer 1

Answer: You have x^2 - 16 = 1 + 2x + x^2 ;
-17 = 2x ;
x = - 17 / 2 = - 8.5 ;

$\sqrt{ ( - 8.5)^(2) - 16 }$ = 1 + ( - 8.5 ) ;
2.12 = -7.5 False !
There is no solution !

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No responses yet... John is making trail mix based on a recipe that combines 6 cups of nuts with 5 cups of granola. John has 36 cups of nuts. How many cups of trail mix (total) does he have?

Answers

Given:

A recipe combines 6 cups of nuts with 5 cups of granola.

John has 36 cups of nuts.

To find:

Number of cups of trail mix (total) does he have.

Solution:

The recipe combines 6 cups of nuts with 5 cups of granola.

The recipe combines 1 cup of nuts with $(5)/(6)$ cups of granola.

The recipe combines 36 cup of nuts with $36* (5)/(6)$ cups of granola.

So, the number of cups of granola in trail mix is

$Granola=36* (5)/(6)$

$Granola=6* 5$

$Granola=30$

Total number of cups = cups of nuts + cups of granola.

$=36+30$

$=66$

Therefore, the total number of cups in trail mix (total) he have, is 66.

Complete the statement. –5 + = –5

A.5

B.–5

C.0

D.–1

Answers

-5+ =-5

Replace the blank place by x

-5+x=-5

Simplify both sides of the equation

x-5=-5

Add 5 to both side sides

x-5+5=-5+5

x= 0

Answer : C

I hope that's help !

Solve the following problem: 28 – 18 – 10.
A. 0
B. 18
C. 8
D. 10

Answers

28 - 18 - 10
10 - 10
0

The answer is A.

A) 28-18
↓
10-10
↓
0. <<< answer.

4m + 5n = 25 solve for N

Answers

Isolate n.

First subtract 4m.
5n = 25 - 4m

Divide by 5 to get n by itself.
n = 5 - 4/5m

That's your final answer.

Add -4m to both sides

4m+5n -4m = 25-4m

5n = -4m +25

Divide both sides by 5

5n/5 = -4m+25/5

n = -4/5 m +5

I hope that's help ! If you have questions please let me know

n = -4/5

Verify the Pythagorean Identity 1 + cos^2(theta) = csc^2(theta)

Answers

1 + cot² t = csc² t
$1+cot ^(2) t = (1)/(sin ^(2) t) \n 1+ (cos^(2)t )/(sin^(2)t ) = (1)/(sin ^(2) t)$ / * sin² t
sin² t + cos² t = 1
1 = 1
We have confirmed the identity.

The verification for the Pythagorean identity 1 + cot²∅ = cosec²∅ will lead to sin²∅ + cos²∅ = 1

How to verify Pythagorean identity?

1 + cot²∅ = cosec²∅

Therefore,

cosec²∅ = 1 / sin²∅

cot²∅ = 1 / tan²∅ = cos²∅ / sin²∅

Hence,

1 + cos²∅ / sin²∅ = 1 / sin²∅

Therefore, multiply both sides by sin²∅

1(sin²∅) + (sin²∅) cos²∅ / sin²∅ = (sin²∅) 1 / sin²∅

sin²∅ + cos²∅ = 1

learn more on Pythagorean identity here: brainly.com/question/11674053

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On average, it takes 4.75 hours to run a marathon. How many days will it take to run 100 marathons?

Answers

Answer:

475 hours

Step-by-step explanation:

4.75*100=475...........