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3 years ago

Find the slope of the line that passes through the points (1,10) and (-8,3)

Mathematics

1 answer:

dem82 [27]3 years ago

3 0

We can use the points (1, 10) and (-8, 3) to solve.

Slope formula: y2-y1/x2-x1

= 3-10/-8-1

= -7/-9

= 7/9

Best of Luck!

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Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)

Artemon [7]

Answer:

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

Step-by-step explanation:

Let be $A = (-3,-6)$ and $B = (12, 4)$ endpoints of segment AB and $M$ a point located 7/10 the way from A to B. Vectorially, we get this formula:

$\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}$

$\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)$

By Linear Algebra we get the location of $M$ :

$\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)$

$\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A$

$\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot \vec B$

If we know that $\vec A = (-3,-6)$ and $\vec B = (12, 4)$ , then:

$\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)$

$\vec M = \left(-\frac{9}{10},-\frac{9}{5} \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)$

$\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5} \right)$

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3 years ago

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You use division

over 2 or 4 or 3 or 5 or 7 and so on
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16 = 2 * 2 * 2 * 2 = 2^4

number reminder
64 0
32 0
16 0
8 0
4 0
2 0
1 1

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3 years ago

The redwood national park is home to some of the largest trees in the world. Hyperion is the tallest tree in the park, with a he

vladimir1956 [14]

Answer:

$h= 126.33\ yd$

Step-by-step explanation:

Let h be the height of the tree.

Given:

Height of the tree = 379 feet

We need to find the height of the tree in yards.

Solution:

From the given statement, Hyperion is the tallest tree in the park, with a height of approximately 379 feet,

We need to convert the height of the tree from feet to yard. So, We divide the height of the tree by three for yard.

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$h = \frac{1}{3}\ yd$

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$h= 126.33\ yd$

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