Answer:
x =
Step-by-step explanation:
12y = 75 + 5x + 2x - 1
combine like terms:
12y = 74 + 7x
subtract 74 from both sides:
7x = 12y - 74
divide both sides by 7:
x =
Whats an example of a repeated decimals
1 answer:
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Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= -
= -
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0
Given:
Two vectors are:
To find:
The projection of u onto v.
Solution:
Magnitude of a vector is:
Dot product of two vector and
is:
Formula for projection of u onto v is:
On further simplification, we get
Therefore, the projection of u onto v is .