Answer:
Trying to get 24
Henry being 1 more than twice Frank age
Frank 3
Henry 7
Taila 14
3 *2=6+1=7*2=14
Step-by-step explanation:
Answer: The graph becomes narrower
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- |a| represents the vertical stretch if |a| > 1, vertical shrink if |a| < 1
- (h. k) represents the vertex
A vertical stretch means the curve gets narrower.
A vertical shrink/compression means the curve gets wider.
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation =
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
Answer:
the runners have gone 20.8 times around the globe all together
Step-by-step explanation:
At the Bostom Marathon, we have a total of
N = 20,000 runners
We know that each runner ran a distance of
d = 26 miles
Therefore, the total distance travelled by all runners combined is:
We know that the circumference of the Earth is
Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:
And substituting the values, we find:
So, the runners have gone 20.8 times around the globe all together.
B. The diagonals bisect each other.