Witch statement about this equation is true?

Mathematics

2 answers:

Temka [501]3 years ago

5 0

Answer:

B. The equation has one solution

Step-by-step explanation:

Let's get rid of 3x first. We're going to add it to the other side. That way our equation will now look like 3 + 4x = 2. Now subtract the 3 from both sides. SO now you'll be left with 4x = -1. We're are now going to divide by 4 on both sides which will leave us with x = -1/4 or -0.25. The equation has one solution so your answer will be B.

Yuri [45]3 years ago

4 0

The answer is B I believe

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If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are: