All categories

3 years ago

What is the value of x in the equation 25x^2=16? A.+ 5/4 B.+4 C.+ 4/5 D.+16/25

Mathematics

1 answer:

4vir4ik [10]3 years ago

5 0

Answer:

x = ± 4/5

Step-by-step explanation:

25 x^2 = 16

Divide each side by 25

25 x^2 /25 = 16 /25

x^2 = 16 /25

Take the square root of each side

sqrt(x^2) = ±sqrt(16/25)

We know that sqrt(a/b) = sqrt(a)/ sqrt(b)

x = ±sqrt(16) / sqrt(25)

x = ± 4/5

You might be interested in

find x. assume that segments that appear tangent are tangent. please help need answer and how to do it.

Pavlova-9 [17]

Triangle ABC is a right triangle, meaning we can use the Pythagorean Theorem to find x.
The formula for the Pythagorean Theorem is:
$a = \sqrt{ {b}^{2} + {c}^{2} }$
where a is the hypotenuse, and b and c are the legs.
In this problem, we have the vertical leg as 16, the horizontal leg as x, and the hypotenuse as 20. Therefore, we can say that
$a = 20 \\ b = 16 \\ c = x$
Therefore, we can plug into the formula to find x: $a = \sqrt{ {b}^{2} + {x}^{2} } \\ {a}^{2} = { \sqrt{ {b}^{2} + {x}^{2} } }^{2} \\ {a}^{2} = {b}^{2} + {x}^{2} \\ {a}^{2} - {b}^{2} = {x}^{2}$
We first change the variable c to x and square both sides of the equation. Then we subtract b^2 from both sides.
${x}^{2} = {a}^{2} - {b}^{2} \\ \sqrt{ {x}^{2} } = \sqrt{ {a}^{2} - {b}^{2} } \\ x = \sqrt{ {a}^{2} - {b}^{2} }$
We square root each side to find the variable answer for x. Then we plug in the numbers: $x = \sqrt{ {(20)}^{2} - {(16)}^{2} } \\ x = \sqrt{400 - 256} \\ x = \sqrt{144} \\ x = 12$
We find that x = 12. The answer is A. 12.

3 0

3 years ago

1+1 what does that equal

lutik1710 [3]

1+1=2
For example, if you have one obeject and get one more object along with the first object, you will have 2 objects all together.

4 0

3 years ago

Read 2 more answers

A partial listing of monthly start-up costs for a store includes $2,800 for rent, $650 for electricity, $285 for telephone and I

KIM [24]

The total monthly start up cost for the shop is given by:
Total cost=(cost of rent+cost for electricity+ cost for telephone+cost of internet+salaries+cost of cleaning+cost of supplies)
=2800+650+285+9550+800+300
=$ 14385
Thus the total cost is $14385

6 0

4 years ago

What is 1100 - 0530 in militaries time

konstantin123 [22]

Answer:

0530

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Use the table to find the ratio. Enter the ratio as a fraction in simplest form. 9 white socks. 6 black socks. 7 blue socks. 2 b

Ratling [72]

Answer:

Step-by-step explanation:

i did the test ty hope it helps and give brainly and a thanks and 5star please :D you and you will get a A on that test or homework. IT really works

8 0

3 years ago