Which of the following are solutions to the equation below?

c) -4/5

d) 4/5

Step-by-step explanation:

The given equation is 25x^2 -16 = 0

Adding 16 on both sides, we get

25x^2 = 16

Dividing both sides by 25, we get

x^2 = 16/25

Taking square root on both sides, we get

x = √(16/25)

x = ±4/5

Therefore, x = 4/5 and x = -4/5

Answers: C) and D)

Hope this will helpful to understand the concept.

Thank you.

Option C and D, i.e. -4/5 and 4/5

Step-by-step explanation:

Given is 25x² -16 = 0

(5x)² - 4² = 0

Using the formula "Difference of squares" given as follows:-

a² - b² = (a-b)(a+b)

(5x)² - 4² = (5x-4)(5x+4)

So (5x-4)(5x+4) = 0

Using "Null product" property given as follows:-

If A*B = 0, then A=0 or B=0.

So, (5x-4)(5x+4) = 0 means (5x-4)=0 or (5x+4)=0

Solving for x values:-

5x - 4 = 0 and 5x + 4 = 0

5x = 4 and 5x = -4

x = 4/5 and x = -4/5

Hence, options C and D are correct, i.e. -4/5 and 4/5.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)