Answer:
so you graph at (0,2), and go up one, over two for every other point you graph.
Step-by-step explanation:
rise over run.
basically, the m is the slope, and b is the y intercept (where it intersects the y axis).
so when looking at how to graph the line based on 1/2 or any other number, I use rise/run, which is basically telling us tha we need to go up one and over 2 (1/2)
if that makes any sense, let me know if you have any further questions. you got this, youre doing your best!!
slope is the start of your endless pain.
Answer:
Height of the building = 77 ft.
Step-by-step explanation:
Let the height of the building (AB) = h feet
It's given that height of a woman (ED) = 5 feet 3 inches
≈ 5 feet + 
ft
≈ 5.25 ft
Length of the shadow (BC) of the building = 55 ft
Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft
Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.
By the property of similar triangles,
h = 
h = 77 ft
Therefore, height of the building will be 77 ft.
Answer:
a = 18
Step-by-step explanation:
2(a-7)=a+4
Distribute 2 into left side: 2a -14 = a + 4
subtract a from both sides 2a-a-14 = a+4-a
Simplify: a - 14 = 4
Add 14 to both sides: a - 14 + 14 = 4 +14
Simplify: a = 18
If wanted, plug a into original to double check work:
plug in: 2 (18-7) = 18+4
do parenthesis first: 2 (11) = 18+4
do multiplication : 22 = 18+4
additions: 22 =22
a = 18 is correct.
Answer:
4 hours
Step-by-step explanation:
The amount remaining at the end of each hour is 0.85 of the amount at the start of the hour. You want to find the exponent such that ...
... 0.85^x = 0.5 . . . . . x = the number of hours until half is left
... x·log(0.85) = log(0.5) . . . . . take the log to turn it to a linear equation
... x = log(0.5)/log(0.85) ≈ 4.265024
Rounded to the nearest hour, x = 4.
The second equation because they all have a common factor of 3. You can get x by itself. However, with the first one, you'll end up with fractions instead.
