Find the sum.
(-3.4k-7)+(3k+21)=
Thanks!

simply

Step-by-step explanation:

Simplifying

-3.4k + -7 + 3k + 21 = 0

Reorder the terms:

-7 + 21 + -3.4k + 3k = 0

Combine like terms: -7 + 21 = 14

14 + -3.4k + 3k = 0

Combine like terms: -3.4k + 3k = -0.4k

14 + -0.4k = 0

Solving

14 + -0.4k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + -0.4k = 0 + -14

Combine like terms: 14 + -14 = 0

0 + -0.4k = 0 + -14

-0.4k = 0 + -14

Combine like terms: 0 + -14 = -14

-0.4k = -14

Divide each side by '-0.4'.

k = 35

Simplifying

k = 35

step-by-step explanation:

i hate black

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!