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larisa [96]
3 years ago
15

Please help! BRAINLIEST to correct answer!

Mathematics
2 answers:
Nostrana [21]3 years ago
8 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2 {x}^{3}  + 2 {x}^{2}  - 40x =

2x( {x}^{2}  + x - 20) =

2x(x  - 4)(x + 5)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( a )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Softa [21]3 years ago
5 0

The first option is the correct one.

2  {x}^{3}  + 2 {x}^{2}  - 40x

2x( {x}^{2}  + x - 20)

2x(x  -  4)(x  + 5)

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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
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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

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Find the slope of the line that passes through the origin and the point (-2,5).​
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<u>Slope -2/5.</u>

Answer:

Solution given:

(x1,y1)=(0,0)

(x2,y2)=(-2,5)

now

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The graph below shows a system of equations: Draw a line labeled y equals minus x plus 5 by joining the ordered pairs 0, 5 and 5
Montano1993 [528]

Answer:

The x-coordinate of the solution is x=3

Step-by-step explanation:

we have

y=-x+5 ------> equation A

y=x-1 ------> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for x

x-1=-x+5

x+x=5+1

2x=6

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Find the value of y

y=x-1  ------> y=3-1=2

The solution of the system of equations is the point (3,2)

therefore

The x-coordinate of the solution is x=3

5 0
3 years ago
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