Answer:
f(x) = 24/6x relates to
Step-by-step explanation:
graph of the parent functions
Answer:
b
Step-by-step explanation:
Answer:
y+7=5/4(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=5/4(x-8)
y+7=5/4(x-8)
For this case we have that by definition, the Pythagorean theorem states that:
![c = \sqrt {a ^ 2 + b ^ 2}](https://tex.z-dn.net/?f=c%20%3D%20%5Csqrt%20%7Ba%20%5E%202%20%2B%20b%20%5E%202%7D)
Where:
a, b: Are the legs
c: It is the hypotenuse
According to the figure we have to:
![a = 20\\b = 21](https://tex.z-dn.net/?f=a%20%3D%2020%5C%5Cb%20%3D%2021)
Substituting in the formula we have:
![c = \sqrt {(20) ^ 2 + (21) ^ 2}\\c = \sqrt {400 + 441}\\c = \sqrt {841}\\c = 29](https://tex.z-dn.net/?f=c%20%3D%20%5Csqrt%20%7B%2820%29%20%5E%202%20%2B%20%2821%29%20%5E%202%7D%5C%5Cc%20%3D%20%5Csqrt%20%7B400%20%2B%20441%7D%5C%5Cc%20%3D%20%5Csqrt%20%7B841%7D%5C%5Cc%20%3D%2029)
Answer:
Option D
Answer:
12, 14
Step-by-step explanation:
Let's call the smallest number n.
Let n + 2 = the larger even integer.
Let's write our equation:
"The smaller of two consecutive even integers is five more" would be +5 and "nne half of the greater" can be written as
(n + 2).
n = 5 +
(n + 2)
Solvew for n.
n = 5 +
(n + 2)
Let's multiply each side by 2, to get rid of the fraction,
.
2 (n) = 2(5 +
(n + 2))
2n = 2* 5 + 2*(
(n + 2))
2n = 10 + (n + 2)
2n = 10 + n + 2
2n = 10 + 2 + n
2n = 12 + n Subtract n from each side.
2n - n = 12 + n - n
2n - n = 12
n = 12
Let's solve for our other integer:
n + 2 = 12 + 2 = 14
So our 2 consecutive, even integers are
12 and 14