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3 years ago

How do you write sentences 10+k=4K

1 answer:

8 0

K added to 10 gives you 4 times the value of K.

If you wanted to solve the expression:

Subtract both sides of the expression, right hand side(10+k) and left hand side(4K), by -k as you want to get rid of the variable to get simply 10 on the LHS.
10+k -k = 4k -k

If we want to subtract k from k then we get 0, and if we want to subtract k from 4k we get 3k. For the sake of simplicity think of k as an object saying if I subtract object A from object A I get zero, and so forth.

We are left with the expression:
10 = 3k
We divide both sides by 3 as to get rid of it from the RHS.
We get a solution 10/3 = k

You might be interested in

Please help me. solve for X

Vinil7 [7]

Answer:

1. x = 16

2. x = 17

Step-by-step explanation:

1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:

46 + 93 + 47 + 4x + 62 + 3x = 360

Combine like terms:

248 + 7x = 360

Subtract 248 from both sides of the equation to isolate 7x:

7x = 112

Divide both sides by 7 to find the value of x:

x = 16

2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:

5x + 139 + 9x + 71 + 92 = 540

Combine like terms:

14x + 302 = 540

Subtract 302 from both sides to isolate the 14x:

14x = 238

Divide both sides by 14 to find the value of x:

x = 17

I hope this helps :)

6 0

3 years ago

Find the value of Z for the triangles

kolbaska11 [484]

Answer:

z = 17.5

Step-by-step explanation:

segment RX is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

$\frac{RS}{RT}$ = $\frac{SX}{TX}$ , substitute values

$\frac{15}{z}$ = $\frac{6}{7}$ ( cross- multiply )

6z = 105 ( divide both sides by 6 )

z = 17.5

4 0

3 years ago

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-\frac{1}{2}(x-2)$

Operating

$\displaystyle y=-\frac{1}{2}(x-2)+3$

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

8 0

3 years ago

What is the solution to the system of equations?

natka813 [3]

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions. y₁ is a linear function, but y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

3 0

3 years ago

A scale on a map shows that 2.5 centimeters represent 15 kilometers.

MrRissso [65]

Answer:

cm for centimeters, km for kilometers.

If 2.5cm → 15 km, then

17.5 cm → x km

x= (15km*17.5cm)/(2.5cm)=105 km

Step-by-step explanation:

4 0

3 years ago