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3 years ago

Determine the slope of the line thy passes through the points (-6, -4) and (7, -5) ?

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

Answer:

-1/13 or -0.076923076923077

Step-by-step explanation:

Slope = $\frac{Y}{X} =\frac{-1}{13}=-0.076923076923077$

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Plzzzz help mehh its scientific notation and im putting alot o point for it

s344n2d4d5 [400]

$(7.2\cdot10^7)^2=7.2^2\cdot(10^7)^2=51.84\cdot10^{14}=\boxed{5.184\cdot10^{15}}=\\
\boxed{5,184,000,000,000,000}$

5 0

3 years ago

John has a boat that will travel at the rate of 15 kph in still water. He can go upstream for 35 km in the same time it takes to

Otrada [13]

Answer:

The boat traveling at 24 kph when John goes downstream.

Step-by-step explanation:

We are given the following in the question:

John has a boat that will travel at the rate of 15 kph in still water.

Let x be the speed of the current.

Speed of boat in upstream

$(15-x)\text{ kph}$

Speed of water in downstream

$(15+x)\text{ kph}$

Relation:

$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

We have to find the speed of boat in downstream.

Time to travel upstream for 35 km = Time to travel 140 km downstream

$\displaystyle\frac{35}{15-x}=\frac{140}{15+x}\\\\35(15+x) = 140(15-x)\\525 + 35x = 2100 - 140x\\175x = 1575\\x = 9$

Thus, speed of current is 9 kph.

Speed of boat in downstream = 15 + 9 = 24 kph.

Thus, the boat traveling at 24 kph when John goes downstream.

4 0

3 years ago

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si

Inessa [10]

Using relations in a right triangle, it is found that:

$\sin{x} = \frac{6}{10} = 0.6$

$\cos{y} = \frac{6}{10} = 0.6$

Since x and y are complementary angles, we have that sin(xº) = cos(yº).

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

The hypotenuse in this problem is given as follows:

$h^2 = 6^2 + 8^2$

$h = \sqrt{100}$

h = 10.

The sine of x is:

$\sin{x} = \frac{6}{10} = 0.6$

The cosine of y is:

$\cos{y} = \frac{6}{10} = 0.6$

Since x and y are complementary angles, we have that sin(xº) = cos(yº).

More can be learned about relations in a right triangle at brainly.com/question/26396675

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8 0

2 years ago

There are moles in 1.26 × 1024 particles.

EastWind [94]

Answer:

1.26 x 10^(24)

Step-by-step explanation:

hope this helped

6 0

3 years ago

Population density is a measure of how crowded an area is. The population density of Australia is approximately 7.6 people per s

meriva

Answer:

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3 years ago

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