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2 years ago

What is the slope line that goes through these two points (-5,2) and (-9,10)

Mathematics

1 answer:

Yuri [45]2 years ago

4 0

Answer:

-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-2)/(-9-(-5))

m=8/(-9+5)

m=8/-4

m=-2

Please mark me as Brainliest if you're satisfied with the answer.

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79.68 dollars...........

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3 years ago

15. The container shown in the figure is filled with a liquid that weighs 50 g. Find its density.

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Answer:

C. 0.006 g/cm³

Step-by-step explanation:

As the units tell you, density is the ratio of mass to volume. The volume of the container is found from ...

V = πr²h = π(10 cm)²(25 cm) = 2500π cm³

Then the density is ...

ρ = (50 g)/(2500π cm³) = 1/(50π) g/cm³

ρ ≈ 0.006 g/cm³

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<em>Comment on the problem</em>

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2 years ago

Read 2 more answers

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of

KengaRu [80]

Answer:

$G=93\ to\ 147$

Step-by-step explanation:

From the question we are told that

Mean $x= 120$

Standard deviation $\sigma= 9$

Percentage for men =99.75%

Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean

Standard deviation n= 9

Mean x= 120

Generally the interval of systolic blood pressure for middle 99.7 of male G is mathematically given as

$G=Mean \pm 3* \sigma$

$G=120 \pm 3*9$

$G=93\ to\ 147$

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2 years ago

Write an equation for the proportional relationship shown in the table.

VladimirAG [237]

9514 1404 393

Answer:

y = 38x

Step-by-step explanation:

The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...

y = kx

y = 38x

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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:

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

2 years ago