Answer:
-6, -1, 4, 9, and 14
Step-by-step explanation:
Just add 5 to each of them
Answer:
1.6 hours / 1 hour 36 minutes
Step-by-step explanation:
105+95=200 miles
This is the distance that the trains could travel in an hour.
320÷200=1.6 hours
Our Answer is 1.6 hours / 1 hour 36 minutes
Answer:
1. (-3,2) and (-1,2)
Step-by-step explanation:
Reflection over x axis results in change y-coordinates to opposite sign and x-coordinates remain as is
<u>So the coordinates become:</u>
- A(-3, -2) → A'(-3, 2)
- B(-1, -2) → B'(-1, 2)
Correct option is the first one
To solve this problem, we need to use our knowledge that parallel lines have the same slope. If we have a line that is parallel to the line y = 2x - 7, our line must also have a slope of 2 (we know this line has a slope of 2 because it is in slope-intercept form, y=mx + b, where m represents slope and b represents the y-intercept).
Now, we can use our known slope and our given point to substitute into point-slope form, as shown below:
y = m (x - h) + k
y = 2 (x - 5) - 1
Next, we can simplify our equation by using the distributive property to get rid of the parentheses.
y = 2x - 10 - 1
Finally, we can complete our equation by computing the subtraction.
y = 2x - 11
We can conclude that this is the correct answer because if you plug in the point (5, -1) you get a true statement and it has a slope of 2.
Therefore, the answer is y = 2x - 11.
Hope this helps!
Answer:
x^2 - 2x - 4 = 0.
Step-by-step explanation:
Written in factor form we have:
(x - ( 1 + √5)( x - (1 - √5)) = 0
(x - 1 -√5)( x - 1 +√5)) = 0 Expanding:
x^2 - x +√5x - x + 1 - √5 - √5x + √5 - 5 = 0
x^2 - 2x - 4 = 0.