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3 years ago

5

Can someone please help me out?

1 answer:

Tema [17]3 years ago

8 0

6.) D (x+7)(x+1)
7.) B (x-9)(x+8)
8.) D
9.) A
10.)A

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Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?

sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have $V=IR^{2}$ and let $H$ be the subset of $V$ of all points on the line

$4x+3y=12$

We need to find if $H$ is a subspace of the vector space $V$ .

In $IR^{2}$ all the possibilities for own subspace of the vector space $IR^{2}$ are :

$IR^{2}$ itself.

The vector $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$

All lines in $IR^{2}$ that passes through the origin ( $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$ )

We know that $H$ is the subset of $IR^{2}$ of all points on the line $4x+3y=12$

If we look at the equation, the point $\left[\begin{array}{c}0&0\end{array}\right]$ doesn't verify it because :

$4x+3y=12\\4(0)+3(0)=12\\0=12$

Which is an absurd. Therefore, $H$ doesn't contain the origin (and $H$ is a line in $IR^{2}$ ). Finally, it can't be a vector space of $V=IR^{2}$

8 0

3 years ago

If a spring is oscillating (moving) according to the velocity equation v(t) = 2sin(t) (in ft/s), then what is its displacement o

Feliz [49]

ANSWER

4 ft

EXPLANATION

The velocity equation of the oscillating spring is given by the function.

$v(t)=2 \sin(t) \: \: {ms}^{ - 1}$

To find the displacement function, we need to to Integrate the velocity function.

$s(t) = \int \: 2 \sin(t) dt$

$s(t) = - 2 \cos(t) + k$

At time t=0, there was no displacement.

This implies that,

$s(0) = 0$

$0= - 2 \cos(0) + k$

$0= - 2 + k$

$k = 2$

The displacement function then becomes,

$s(t) = - 2 \cos(t) + 2$

To find the displacement over the first π seconds, we put

$t = \pi$

into the equation for the displacement to get,

$s(\pi) = - 2 \cos(\pi) + 2$

$s(\pi) = - 2 ( - 1) + 2$

$s(\pi) = 2 + 2 =4 ft$

7 0

4 years ago

Find the tenth term in the sequence. First, I need the sequence generator. Then, I want an equation. (Should be T(N) = MN + B if

anyanavicka [17]

Answer:

These numbers are the Powers of Two

Beginning with term #1 = 2, the next term is always 2 times the PRECEDING term.

Second term is two squared, or 2 times 2, namely four.

Third term, multiply that four by two, giving eight, also known as two cubed.

Fourth term is twice as much, namely sixteen.

Just keep on doubling!

Step-by-step explanation:

3 0

3 years ago

What does -12/ -8 turn into as a fraction?

Helga [31]

-1 and -1/-2
Is your answer to the reduced fraction

5 0

3 years ago

a piece of stained glass in the shape of a right triangle has sides measuring 8 cm, 15 cm, and 17cm. what is the area of the pie

Hoochie [10]

Area:LW
8*15=180
<span>8 is the length,15 is the Width,17 is the hieght </span>

6 0

3 years ago