All categories

3 years ago

Determine whether the given value is a solution of the equation(is this a YES or NO)

Mathematics

1 answer:

Ne4ueva [31]3 years ago

5 0

To determine if a given value is a solution of the equation, we will substitute the given value in for the variable it has been assigned to.

In this equation, our variable is k.

$25 = \frac{k}{5} ; k = 5$

Substitute 5 in for k:

$25 = \frac{5}{5}$

Now we will simplify the right side of the equation:

$\frac{5}{5} = 1$
25 = 1

25 does not equal 1, so we know that the given value 5 is not a solution for the equation.

You might be interested in

Help!<br><br> <img src="https://tex.z-dn.net/?f=%5Csf%20%5Csqrt%7Bx-2%7D-x%3D-2" id="TexFormula1" title="\sf \sqrt{x-2}-x=-2" al

Gennadij [26K]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve for x :

$\sqrt{x - 2} - x = - 2$

$\sqrt{x - 2} = x - 2$

$1 = \dfrac{x - 2}{ \sqrt{x - 2} }$

$1 = \sqrt{x - 2}$

$x - 2 = 1$

$x = 3$

4 0

3 years ago

P(a number greater than 3 and C

slamgirl [31]

Answer: uhhhh 4

Step-by-step explanation:

3 4 c d

6 0

3 years ago

An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of

Liula [17]

Answer:

65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

(4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

d² = 12² +7² = 144 +49 = 193

d = √193 ≈ 13.892

Then the total length of all strings is ...

L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

4 0

2 years ago

A child lies on the ground and looks up at the top of a 9-ft tree nearby. The child is 13 ft away from the tree. What is the ang

choli [55]

Draw a right triangle to represent the problem.
The vertical height of the triangle is 9 ft, and it represents the tree.
The horizontal length, at the bottom of the tree is ground level and has a length of 13 ft.

Let x = angle of elevation.

By definition,
tan x = 9/13 = 0.6923
x = arctan(0.6923) = 34.7 deg. = 35 deg (approx)

Answer: 35°

8 0

3 years ago

What is the solution of ?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20x-7%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B14" id="Tex

Nonamiya [84]

Combine the terms by multiplying into a single fraction.

$\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 }$