Subtract -7n 2 from 2n-1.

Answers

Answer 1
Answer: -7n 2-2n-1
-7n-2n 2-1
-9n 1

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Evaluate x²-6x when x=3-i.

Answers

Answer:

10

Step-by-step explanation:

We are going to substitute x = 3 - i into the expression x² - 6x

* Remember than i² = (√-1)² = -1. so when we multiply and get i² we're going to transform it into -1.*

x^2-6x = (3 - i)^2 - 6 (3-i) = 9 - 6i+i^2 -18+6i\n=9 - 6i-1-18+6i\n=-10

Thus, x² - 6x = 10 when x = 3-i

The first steps in writing f(x) = 3x2 – 24x + 10 in vertex form are shown.f(x) = 3(x2 – 8x) + 10

(-8/2)^2 = 16

What is the function written in vertex form?
A.f(x) = 3(x + 4)2 – 6
B.f(x) = 3(x + 4)2 – 38
C.f(x) = 3(x – 4)2 – 6
D.f(x) = 3(x – 4)2 – 38

Answers

Following the steps already shown to transform the given function into the vertex form, we have:

f(x) = 3(x2 - 8x + 16) + 10 - 3(16)
f(x) = 3(x - 4)(x - 4) + 10 - 48
f(x) = 3(x - 4)2 - 38

Therefore, the function written in vertex form is:
D.f(x) = 3(x – 4)2 – 38
The vertex form has the general form of:

y = a(x-h)^2 + k

We have the given equation:

f(x) = 3x^2 – 24x + 10

f(x) - 10 + 3(16) = 3(x^2 -8x + 16)
f(x) + 38 = 3(x - 4)^2
f(x) = 3 (x-4)^2 -38

Then, the correct answer is D.

Find the equation of the line through (2, 3, 0) perpendicular to the vectors a = (1, 2, 3) and b = (3, 4, 5).

Answers

The cross product a×b is a vector perpendicular to both. That cross product is
  (1, 2, 3)×(3, 4, 5) = (-2, 4, -2)

This can have common factors removed and be sign-adjusted to (1, -2, 1), so the equation of the line can be written in parametric form as ...
  (x, y, z) = (2, 3, 0) + t·(1, -2, 1)

_____
When working with vectors and matrices, a suitable calculator can be very helpful. There are several phone and tablet apps and web sites that can do these calculations for you.

The sum of interior angle of a regular polygon is 1980 . Find its angle .

Answers

The sum of the angles of any polygon with 'n' sides is (n - 2) times 180 degrees.

1980 / 180 = 11 , so the polygon has 13 sides and 13 angles.

If the polygon is regular, then all the angles are equal.

Each interior angle is 1980/13 = 152.308 degrees (rounded)

Please help me with this question, its geometry.

Answers

Answer:

set 4x equal to 6x-26 since they r vertical angles, therefore congruent to each other.

Step-by-step explanation:

4x=6x-26

-6x     -6x

-2x=-26

x=13

If a translation of T-3,-8 (x,y) is applied to square ABCD, what is the y-coordinate of B'?-12

-8

-6

-2

Answers

Answer:

  -6

Step-by-step explanation:

The y-coordinate of B is 2. Adding -8 to it makes the y-coordinate of B' be -6.

  2 -8 = -6

Answer:

-6

Step-by-step explanation:

The given translation is

T_(-3,-8) (x,y)

Which means that the original figure will be moved 3 units to the right and 8 units downwards.

Remember, when it comes to translations, when we subtract units to x that means the figure will be moved rightwards. And if we subtract units from y, that means the figure will be moved downwards.

So, the original figure has as vertex B(1,2). If we apply the transformation to its vertical cordinate y=2, we would have

y'=2-8=-6

Therefore, the right answer is the third choice -6.