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3 years ago

-3/5 x = 6what is x ?

Mathematics

2 answers:

SOVA2 [1]3 years ago

7 0

Multiply both sides by -5/3.
X= 6 times -5/3
X= -10

algol133 years ago

5 0

Multiply both sides by -5/3
X= 6 times -5/3
X= -10

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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:

Minimum ( $\cos \theta = 0$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0$

Maximum ( $\cos \theta = 1$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1$

With the help of a graphing tool we get the family of possible values for $p$ are:

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

7 0

3 years ago

The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order?

ki77a [65]

Answer:

A. 58, 13,-35,-51

Step-by-step explanation:

Start with the greatest positive number, 58. Then use the next greatest positive number, 13. When it comes to negative numbers, the number with the smaller absolute value is greater.

|-35| = 35

|-53| = 53

-35 has a smaller absolute value than -53, so -35 is greater than -53.

Answer: A. 58, 13,-35,-51

7 0

3 years ago

Read 2 more answers

I’m dumb so I need help

vitfil [10]

Yea ur smarter than u think

5 0

3 years ago