Answer:
w = 7
Step-by-step explanation:
7(w + 1) = 5 (2w - 3) + 1
Use distributive property
7w + 7 = 10w - 15 + 1
Add/subtract any same variables and numbers
7w + 7 = 10w - 14
Goal: isolate the variable (w)
Add 14 to both sides - this cancels out the 14 on the right side and transfers it to the left side
7w + 7 + 14 = 10w - 14 + 14
7w + 21 = 10w
Subtract 7w from both sides - this cancels out the 7w on the left side and transfers it to the right side
7w - 7w + 21 = 10w - 7w
21 = 10w - 7w
21 = 3w
Divide both sides by 3 - this cancels out the 3 on the right side and transfers it to the left side
21 ÷ 3 = 3w ÷ 3
3 divided by 3 = 1 (you do not have to add a 1 before a variable so the result is as follows)
21 ÷ 3 = w
Variable is now successfully isolated
7 = w
Answer:
there is no x intercept
the y intercept is -10/3
Step-by-step explanation:
f(x) = 2/3 -4
get a common denominator
f(x) =2/3 - 4*3/3
f(x) = 2/3 - 12/3
f(x) = -10/3
this is a line at y = -10/3
there is no x intercept
the y intercept is -10/3
Answer:
17
Step-by-step explanation:
a^2 + b^2 = c^2
15^2 + 8^2 = 289
sqrt289 = 17
Answer:
14
Step-by-step explanation:
All of the angles are marked as congruent, which means it is an equlateral triangle. This means that all of the sides are congruent too.
Therefore z + 2 = 2z -10
add 10 to each side
z + 12 = 2z
subtract z from each side
12=z
now that we know that, we can plug it back in to either line (it doesn't matter because they're congruent)
line AB is z+2 which is 12+2 or 14
and line CB is 2z-10 which is 2(12)-10 or 24-10 which is also 14
so line CA is also 14 units long.