Lets say for arguments sake that the bag contained 2 blue and 3 red marbles
p:q = 2:3 In order to get a ratio of 2:1 we would have to add 4 blue marbles
(6:3 = 2:1).
So the ratio p to r = 2:4 = 1:2 answer.
Hello! Your answer is y = -7/3x + 2.
----
First, find the slope of the original line. The slope can be calculated by 
. Substitute in the points, and you get:
So now we get: slope = 3/7. We do not need the full equation of the first line, as a perpendicular line only requires the slope.
----
Perpendicular lines all have a slope that is a negative reciprocal of another. For example, if one line's slope was 1/4, the line perpendicular to it would have a slope of -4.
The negative reciprocal of 3/7 is -7/3. Therefore, we know the slope of the line that we are looking for is -7/3. We can substitute this into y = mx + b.
y = -7/3x + b
Now, we are given a coordinate point. Substitute that in and solve.
-5 = -7/3 * 3 + b
-5 = -7 + b
b = 2
----
Therefore, the final equation we are looking for is y = -7/3x + 2.
Hope this helps!
Answer:
Step-by-step explanation:
Answer:
(d) f(x) = -x²
Step-by-step explanation:
For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...
f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)
f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)
Of the offered answer choices, the only one with a vertex at the origin is ...
f(x) = -x² . . . . . a=-1
Answer: 68 minutes or 1 hour and 8 minutes spent in all putting up the fence
Step-by-step explanation:
(4/5) x 60 = 48 minutes
4/5 is the same as 0.8, which is what you get when you divide four by 5
So, 0.8 x 60 = 48 is also acceptable
Then,
(1/3) x 60 = 20 minutes
1/3 is the same as 0.333333333333, which is what you get when you divided 1 by 3
So, 0.33333(and so on) x 60 = 20
- Typically, you can round 0.3333333 down to something like 0.333 which should give you a similar answer
Then, as it asks you for how much time he spent in all, you add those two together
48 minutes + 20 minutes = 68 minutes OR 1 hour and 8 minutes (There is sixty minutes in 1 hour, so subtract the 60 from 68 and then you have 8 minutes left, thus 1 hour and 60 minutes)
