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3 years ago

What is the perpendicular line of 9x + 6y = -6

Mathematics

1 answer:

tangare [24]3 years ago

6 0

graphical form: 9*x +6*y=-6 simplifies to 9*x+6*y+6=0

text form: 9*x+6*y=-6 simplifies to 9*x+6*y+6=0

so 9*x+6*y=-6

9*x*y+6=0

simplify (9*x+6*y=-6)

I hope this helps you

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One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily

lianna [129]

Answer:

In 9 days will the second warehouse have 1.5 times more coal than the first one

Step-by-step explanation:

The coal left in warehouses after x days can be found using the equation:

first warehouse: 185 - 15x

second warehouse= 237-18x

Let the second warehouse have 1.5 times more coal than the first one after n days then

1.5 ×(185 - 15n)=237-18n which gives:
277,5-22,5n=237-18n and
40,5=4,5n
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3 years ago

2. Lupita deposits $34,890 in an account that pays 3.2% simple interest. She keeps the money in

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Answer:

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3 years ago

Find the x-intercept of the line whose equation is 8x + 2y = 4.<br> 04<br> 02<br> 1/2

bezimeni [28]

Answer:

1/2

Step-by-step explanation:

The x-intercept is a point on the graph that is located on any point of x but must have a y-value of 0. To find the x-intercept, we must set y in the given equation equal to 0.

8x + 2y = 4

8x + 2(0) = 4

8x = 4

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2 years ago

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: