Answer:
vjneovfvfvvfijbnvnbwhevwdjnobfhijnvow
Step-by-step explanation:
Answer:
The equation of the line is:
![y = x + 1](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%201)
Step-by-step explanation:
The equation of a line has the following format:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
In which m is the slope(suppose we have two points, the slope is the change in y divided by the change in x).
b is the y-intercept(the value of x when y = 0).
In this question:
When
, so ![b = 1](https://tex.z-dn.net/?f=b%20%3D%201)
Passes through the points (0,1) and (1,2). So the slope is
![m = \frac{2-1}{1-0} = 1](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2-1%7D%7B1-0%7D%20%3D%201)
The equation of the line is:
![y = x + 1](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%201)
Answer:
The actual length of the wall is 10.5 m
Step-by-step explanation:
Write and solve an equation of ratios to answer this question:
2 cm 3 m
--------- = ---------
7 cm L
Solve this for L by inverting both sides:
7cm L
---------- = --------
2 cm 3 m
and then multiplying both sides by 3m:
21
----- = L
2
The actual length of the wall is 10.5 m
Step 1: Multiply the number being expressed to 100
315: 420 • 100 = 75
Step 2: Multiply the expresser to 100
(315 • 100): 420 = 31500
Step 3: Divide the result by the number being expressed
31500/420 = 75
75 is the answer
Answer:
t = -5
Step-by-step explanation:
Solve for t:
5 (t - 3) - 2 t = -30
Hint: | Distribute 5 over t - 3.
5 (t - 3) = 5 t - 15:
5 t - 15 - 2 t = -30
Hint: | Group like terms in 5 t - 2 t - 15.
Grouping like terms, 5 t - 2 t - 15 = (5 t - 2 t) - 15:
(5 t - 2 t) - 15 = -30
Hint: | Combine like terms in 5 t - 2 t.
5 t - 2 t = 3 t:
3 t - 15 = -30
Hint: | Isolate terms with t to the left hand side.
Add 15 to both sides:
3 t + (15 - 15) = 15 - 30
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
3 t = 15 - 30
Hint: | Evaluate 15 - 30.
15 - 30 = -15:
3 t = -15
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 t = -15 by 3:
(3 t)/3 = (-15)/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
t = (-15)/3
Hint: | Reduce (-15)/3 to lowest terms. Start by finding the GCD of -15 and 3.
The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:
Answer: t = -5