Answer:
y = 2x + 1
Step-by-step explanation:
Since you have an equation and a point, all you need to do is substitute the coordinates into the equation and then solve for the y-intercept (or "b"):
y = mx + b
y = 2x + 2
(-3, -5)
-5 = 2(-3) + b
-5 = -6 + b
-5 + 6 = b
b = 1
Now you have your final equation:
y = 2x + 1
*Remember that parallel lines have the same slope, so finding a new slope is not needed!
The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees
Answer:
![5\sqrt[4]{x}](https://tex.z-dn.net/?f=5%5Csqrt%5B4%5D%7Bx%7D)
or the fourth answer
Step-by-step explanation:
Apply the rule ![x^{\frac{m}{n}}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D)
to rewrite the exponentiation as a radical.
![5\sqrt[4]{x^1}](https://tex.z-dn.net/?f=5%5Csqrt%5B4%5D%7Bx%5E1%7D)
Anything raised to 1 is the base itself.
Answer =
Plz mark me brainliest, hope this helps.
Answer:
30
Step-by-step explanation:
12 is 40% of the total number of cards.
12 = 0.4x, where x is total number of cards
/0.4 /0.4
30 = x
30 cards
