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Sever21 [200]
3 years ago
11

Can anybody help me with my schoolwork right now?

Mathematics
1 answer:
denis23 [38]3 years ago
6 0

Sure, what is the question.

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Determine the points are collinear (1,2) (2,3) and (-2,-11)
Eduardwww [97]

Given:

The three points are (1,2), (2,3) and (-2,-11).

To find:

Whether the given points are collinear.

Solution:

Let as consider the three points are A(1,2), B(2,3) and C(-2,-11).

If these three points are collinear, then area of \Delta ABC must be 0.

Area of \Delta ABC,

Area=\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|

Area=\dfrac{1}{2}|1(3-(-11))+2(-11-2)+(-2)(2-3)|

Area=\dfrac{1}{2}|(3+11)+2(-13)-2(-1)|

Area=\dfrac{1}{2}|14-26+2|

Area=\dfrac{1}{2}|-10|

Area=\dfrac{1}{2}(10)

Area=5\neq 0

Therefore, the given points are not collinear.

6 0
3 years ago
Five plus twice a number is thirty-one
igomit [66]
5 + 2n = 31
2n = 26
n = 13
3 0
3 years ago
Read 2 more answers
\Grace is 1.65 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 25.35 meters. She stands 20.9 meters awa
Anika [276]

Grace's height and the tree's height are related by equivalent ratios

The height of the tree is 2.00 meters

Grace's height is given as:

\mathbf{h = 1.65}

When she measured the length of the tree's shadow, we have:

\mathbf{l = 20.9m} --- the length of her shadow

\mathbf{L = 25.35m} --- the length of the tree's shadow

The height (H) of the tree is calculated using the following equivalent ratio

\mathbf{h:H = l:L}

Substitute known values

\mathbf{1.65:H = 20.9:25.35}

Express as fractions

\mathbf{\frac H{1.65} =\frac{25.35}{20.9}}

Multiply both sides by 1.65

\mathbf{H=\frac{25.35}{20.9} \times 1.65}

Simplify

\mathbf{H=2.00}

Hence, the approximated height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/13513438

5 0
3 years ago
23+297 make a hundred to add. How do I solve it?
Mumz [18]
You can subtract 3 from 23 and add it to 297 to make the equation 10 + 300.
From there the answer should be 310. Hope this helps!
8 0
3 years ago
Read 2 more answers
A restaurant has r reservations each hour except it's last hour, when it has 5 reservations. If the restaurant is open for six h
Ilya [14]
R = 55 total reservations - 5 reservations from the last hour / 5 hours

R = 55 -5 / 5

r = 10
4 0
3 years ago
Read 2 more answers
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