Answer:
m= 5/2
Step-by-step explanation:
Points: (0, 2) and (4, 12)
Slope:
m=(y2-y1)/(x2-x1)
m=(12-2)/(4-0)
m=10/4
m= 5/2
Answer:
George Washington.
Step-by-step explanation:
President Washington was elected President by a unanimous election of 69 voters in 1788, and served two terms. He set about creating a strong, well-funded national government that would maintain neutrality in Europe's raging wars, quell uprisings, and gain the approval of Americans of all types. His leadership style has established many forms and rituals of government that have been used, such as the use of a cabinet system and the swearing-in of oaths. Still, the peaceful transition from his presidency to the presidency of John Adams has created a tradition that continues into the 21st century. Washington was hailed as a patriarch, even during his lifetime.
Just talk about the differences and similarities between exponential and logarithmic functions. Talk about how the domain and range is affected by the different functions.
Hey! I'm here <3
Let's go through this.
The standard form formula is ax+by=c. A can't be a fraction <em>or</em> a negative. In order to clear the denominator and the negative, can can multiply both sides by -4. That gets us:
-4y = 3x -12
Then, we can add 4y to both sides, and then add 12 to the other side.
12 = 3x+4y, or 3x+4y = 12. Therefore, the first answer is correct.
For the second one, we do the same thing. We can multiply both sides by -5 to clear the denominator and the negative. That'll get us:
-5y = 2x-15.
We can then add the 5y to the right side and add the 15 to the left.
15 = 2x+5y, or 2x+5y = 15. Therefore, the first answer is correct again.
Next one: parallel lines always have the same slope. So, we know that the slope is going to be 5. We can then use the points given to find b.
14 = 5(2) + b
14 = 10 +b
4 = b.
Therefore, our equation will be y = 5x +4. The last option is the correct
answer.
Now for number 20. For perpendicular slopes, the slope is always going to be the opposite of the reciprocal of the given slope. We see here here that, that isn't the case, therefore it's neither, because it's definitely not the same slope, so not parallel.
Ready for the last one?
<em /><em />If it's perpendicular, we know it's the opposite of the reciprocal, or -2/5. That narrows our answer down to A and C. It seems like the difference between the two is the x+5 or the x+5. Let's clear that up. We see that the x-value is -7. If the formula states to subtract the x, and the x is already negative, that creates a plus, so the answer is c.
I hope my long-paragraph-thing helped you!
Answer:
Yes, the distance from the origin to the point (8,√17) is 9 units.
Step-by-step explanation:
The equation of a circle centered at the origin with radius , r has equation:
Since the circle passes through (0,-9), the radius is 9 units because (0,-9) is 9 units from the origin.
We substitute the radius to get:
If (8,√17) lies on this circle, then it must satisfy this equation:
This is True.
This means the distance from (8,√17) is 9 units from the origin.
