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torisob [31]
3 years ago
15

The minimum point on the curve Y=X square - 6x + 5

Mathematics
1 answer:
Sauron [17]3 years ago
7 0

Answer:

A 20 and 45

Step-by-step explanation:

son20 & father45

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Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

6 0
4 years ago
What are the coordinates of the vertex of the parabola shown (90,50) (10,50) (10,700) (50,700)
Natasha_Volkova [10]
(50, 700)
The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.
3 0
2 years ago
Read 2 more answers
The plans for a shed call for a rectangular floor with a perimeter of 294ft. The length is two times the width. Find the length
Dmitry_Shevchenko [17]
It is important to note that the perimeter is equal to 2(width) + 2(length). let's call width w and length L.

so 294 = 2w + 2L
but the length is two times the width, so L=2w.

294 = 2w + 2(2w)
294 = 2w + 4w
294 = 6w

divide both sides by 6 to solve for w.
49 = w. so our width is 49 feet.

L = 2w, so L = 2(49). L = 98.

our length is 98 feet.
6 0
4 years ago
You are designing the floor plan of a new house with dimensions of 30 x 50 ft. If each room must be at least 14 x 12 ft, how man
Anvisha [2.4K]
What you would do is 30x5 which is 1500 and 14x12 which is 168


Then you would just divide 1500/168 and get (at most) 8
6 0
3 years ago
Geometry help please
lina2011 [118]
Hello!

The equation to find the volume of a cone is

\pi  r^{2}  \frac{h}{3}

r is radius
h is height

Put in the values we know

3.14 *  9^{2} *  \frac{4}{3}

Square the number

3.14 * 81 *  \frac{4}{3}

multiply 81 by 3.14

254.34 *  \frac{4}{3}

Multiply

339.12

The answer is 339.1 cubic inches

Hope this helps!
7 0
3 years ago
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